Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/e/linear-models-of-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/v/interpreting-trend-line?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade
Missed the previous lesson?
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/v/estimating-the-line-of-best-fit-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade
8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.)
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.
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https://www.youtube.com/watch?v=d4WE4SnhBDU
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Watch Sal work through a harder Congruence and similarity problem.
Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-additional-topics-math/v/sat-math-s7-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT
Missed the previous lesson?
https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-additional-topics-math/v/sat-math-s6-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT
New SAT (starting March 2016) on Khan Academy: Practice all of the skills you’ll need for the new SAT. We also have four official practice exams from College Board. The October 2015 PSAT is in the style of the new SAT.
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.
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https://www.youtube.com/watch?v=zIfQFH79Kkg
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Big picture of how money enters circulation and how lending can increase the money supply
Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/weaknesses-of-fractional-reserve-lending?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics
Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/risks-of-keynesian-thinking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics
Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course
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.
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https://www.youtube.com/watch?v=3mUi9IZb4T4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-orthogonal-complement-of-the-orthogonal-complement?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-algebra-dim-v-dim-orthogonal-complement-of-v-n?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.
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https://www.youtube.com/watch?v=M6lFqkqvUgo
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Price to Earnings Ratio (or P/E ratio). Created by Sal Khan.
Watch the next lesson:
https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/p-e-discussion?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/earnings-and-eps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets
Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back!
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.
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https://www.youtube.com/watch?v=cppxO67e6eo
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Translation example
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-translations-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/using-rotation-widget?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/introduction-to-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
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https://www.youtube.com/watch?v=oxSzkIftog8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
When we have a positive unit and a negative unit, they add up to zero. We call that a zero pair. Let's use integer chips to represent the number -2, but not just with 2 negative chips. This will open the door for us to add and subtract with negative numbers.
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https://www.youtube.com/watch?v=hwK33GvGIK4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-3x3-part-2-determinant-and-adjugate-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
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https://www.youtube.com/watch?v=xZBbfLLfVV4
Note: All Khan Academy content is available for free at (www.khanacademy.org)
With the unit circle and the Pythagorean theorem, we can find the exact sine, cosine, and tangent of the angles π/6 and π/3.
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https://www.youtube.com/watch?v=Tt_ATh5mCGw
Note: All Khan Academy content is available for free at (www.khanacademy.org)