Inductive Reasoning 3
Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/u03-l1-t1-we2-inductive-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
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https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/inductive-reasoning-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
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=pgfWkaySFGY
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Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/nazi-aggression-and-appeasement?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory
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World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today.
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=ZrbbKMnPDUk
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/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
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https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-instantaneous-rate-of-change-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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https://www.youtube.com/watch?v=2oHUkHYtQoM
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Our friend and Cleveland Cavalier, LeBron James, asks Sal if there's a high probability of making three free throws in a row or one three-pointer. Before solving the problem, jot down what you think the answer will be!
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics
Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/frequency-probability-and-unfair-coins?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics
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https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/lebron-asks-about-the-chances-of-making-10-free-throws?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics
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https://www.youtube.com/watch?v=PddbEVNMgTY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Given a few negative numbers on a number line, let's see if we can determine what negative numbers are elsewhere on the number line.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/e/number_line_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/ordering-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
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https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/negative-numbers-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
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https://www.youtube.com/watch?v=qW-Ce44ll0Q
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Some more exact equation examples.
Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations
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https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations
Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
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=utQi1ZhF__Q
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/differential-calculus/derivative_applications/calc_optimization/e/optimization?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/minimizing-combined-area?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
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https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/minimizing-the-cost-of-a-storage-container?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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https://www.youtube.com/watch?v=IFU7Go6Qg6E
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Now that we understand how to interpret an exponent and how the patterns in zeros are related to the exponent, we can solve more complicated problems!
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/e/orders-of-magnitude?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
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https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
...
https://www.youtube.com/watch?v=pYaIjA4CsKo
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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Computer Animation on Khan Academy: A collaboration between Pixar Animation Studios and Khan Academy. Sponsored by Disney. Questions/Feedback: piab@khanacademy.org
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=3Iu1Z0h1i1Y
Note: All Khan Academy content is available for free at (www.khanacademy.org)