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Example: Combinatorics and probability | Probability and combinatorics | Precalculus | Khan Academy
Probability of getting a set of cards
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/permutations-and-combinations-4?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
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https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/probability-of-dependent-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
...
https://www.youtube.com/watch?v=ccrYD6iX_SY
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/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/permutations-and-combinations-4?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/probability-of-dependent-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
...
https://www.youtube.com/watch?v=ccrYD6iX_SY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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2ND O
2nd-order-linear-homogeneous-2
Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.
Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations
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https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homogenous-equations-2?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=UFWAu8Ptth0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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SOLVI
solving-quadratic-equations-by
Solving Quadratic Equations by Completing the Square
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/solving_quadratics_by_taking_the_square_root?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/completing_the_square_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/solving-quadratic-equations-by-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
...
https://www.youtube.com/watch?v=bNQY0z76M5A
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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COMPO
composite-function-limit-when-internal
Composite function limit when internal limit doesn't exist
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https://www.youtube.com/watch?v=XYaZgRQdV3g
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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USING
using-factors-and-multiples-to-figure
Can you help us think of a mathematical way to determine what day of the week a certain number day falls on? You may say no....but wait! Watch this.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/math-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/math-patterns-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/u09-l1-t2-we4-adding-real-numbers-application?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=S7CLLRHe8ik
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
MIXED
mixed-number-subtraction
Mixed number subtraction
...
https://www.youtube.com/watch?v=QJZ6mBW8xTU
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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VIDEO
EXAMP
example-of-rigid-transformation-and
Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/another-example-of-rigid-transformations-for-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
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https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/another-congruence-by-transformation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
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.
For free. For everyone. Forever. #YouCanLearnAnything
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https://www.youtube.com/watch?v=3aDV3L8aZtY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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DIVID
dividing-numbers-intro-to-long-division
Division isn't magic. It's perfectly logical. In this example we'll do a long division problem together and find the resulting answer (without a remainder).
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/e/division_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/dividing-3-digit-by-1-digit-without-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/v/multiplication-and-division-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade
Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.)
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https://www.youtube.com/watch?v=KFzcwWTEDDI
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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CURVA
curvature-formula-part-5
Here, we finish the intuition for how the curvature relates to the cross product between the first two derivatives of a parametric function.
...
https://www.youtube.com/watch?v=8aHUrjgF6s0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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SOCIA
socially-efficient-and-inefficient
Capturing positive and negative externalities by thinking through marginal social benefit (MSB) and marginal social cost (MSC).
...
https://www.youtube.com/watch?v=iB-r7Kl3vok
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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