You told us in this summer’s survey that the #1 challenge with distance learning is keeping students motivated. As such, we're thrilled to have Kristen DiCerbo, Khan Academy’s Chief Learning Officer, tackle that very topic. She'll share some of the best motivational tips drawn straight from educational psychology research. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning. ... https://www.youtube.com/watch?v=frgduiVfVno Note: All Khan Academy content is available for free at (www.khanacademy.org)

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-american-coins?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/v/telling-time-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath ... https://www.youtube.com/watch?v=s6NOa1KTCxQ Note: All Khan Academy content is available for free at (www.khanacademy.org)

Given the graphs of functions f and g, where g is the result of reflecting & compressing f by a factor of 3, Sal finds g(x) in terms of f(x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-combining-composing-models/v/modeling-with-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-stretching-func/v/compressing-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. ... https://www.youtube.com/watch?v=Upw1b0EohIM Note: All Khan Academy content is available for free at (www.khanacademy.org)

Projections onto subspaces with orthonormal bases Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-finding-projection-onto-subspace-with-orthonormal-basis-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-coordinates-with-respect-to-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. ... https://www.youtube.com/watch?v=we829K4NOq8 Note: All Khan Academy content is available for free at (www.khanacademy.org)