Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4A
This video [4:48] shows how to determine the integral of an unusual function using geometry to find the area under the curve. Also shows how to find the derivative of a function which contains an integral by using the Fundamental Theorem...
Khan Academy
Khan Academy: Geometry: Angle Bisector Theorem Proof
Explanation and proof of angle bisector theorem. [8:35]
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Khan Academy: Linear Algebra: Rank(a) = Rank (Transpose of A)
A video lesson showing why the rank of a matrix is the equal to the rank of that matrix's transpose. [11:13]
Khan Academy
Khan Academy: Geometry: 45 45 90 Triangles
In this video tutorial [9:30], the instructor explains the special relationship of the lengths of the sides of a 45-45-90 triangle. Solves an example problem in which the length of a side is known and the length of the hypotenuse must be...
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Khan Academy: Algebra: Ca Algebra I: Quadratic Equation
Demonstrates solutions to problems #53-57 of California Algebra I released state test questions. Problems address an understanding of solving quadratic equations by completing the square and the quadratic formula. [10:14]
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Khan Academy: Linear Algebra: Gram Schmidt Process Example
Video using the Gram-Schmidt process to create an orthonormal basis from a specific basis with two basis vectors for a given plane. [13:14]
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Khan Academy: Geometry: Euler Line
Demonstrates that the circumcenter, orthocenter, and centroid of a triangle all lie on a line called an Euler line. [6:12]
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Khan Academy: Algebra: Two Step Equations
A video that demonstrates how to solve multi-step equations. There are four different examples that use a combination of fractions, decimals, and integers. This video is also found in the strand Algebra: ck12.org. [13:50]
Khan Academy
Khan Academy: Algebra: Complex Numbers: Subtracting Complex Numbers
Video shows an example of subtracting complex numbers. [1:53]
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Khan Academy: Proof (Pt 3) Minimizing Squared Error to Regression Line
Video is the fourth of five related videos about deriving the formula for the least squares regression line. This video shows using partial derivatives and setting them equal to 0 to get closer to deriving the formula for m and b. It...
Khan Academy
Khan Academy: Algebra: Factoring Trinomials by Grouping 4
Video demonstrates how to factor a given quadratic trinomial using the factor by grouping method. The given trinomial has a leading coefficient of 4. [3:55]
Khan Academy
Khan Academy: Geometry: Ca Geometry: Proof by Contradiction
Demonstrates solutions to problems #4-6 of California Geometry released state test questions. Problems address understanding of proof by contradiction and proving triangles congruent. [11:56]
Khan Academy
Khan Academy: Algebra: Absolute Value Equations
This video demonstrates how to solve equations that contain absolute values. It also demonstrates what an absolute value function would look like on a graph. Practice problems available. This video also appears in the strand Algebra:...
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Khan Academy: Statistics: Covariance and the Regression Line
Video defines covariance, shows how to derive its formula, and shows how it relates to the slope of the regression line. [15:08]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Points on a Number Line
This video shows how to plot fractions, negative numbers, decimals, and fractions on a number line. Practice problems are available. [1:58]
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Khan Academy: Linear Algebra: Transpose of a Matrix Product
Video demonstrating that the transpose of the product of two matrices is equivalent to the product of their transposes in reversed order. [8:50]
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Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 1
Video first explains what 2nd order linear differential equations are, then shows that a constant times a known solution to a 2nd order linear homogenous differential equation is also a solution and that the sum of two known solutions is...
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Khan Academy: Arithmetic and Pre Algebra: Converting Within the Metric System
This video explains how to convert from decimeters to kilometers. Practice problems are available. [4:42]
Khan Academy
Khan Academy: Algebra: Converting Within the Metric System
Step-by-step breakdown on how to convert decimeters into kilometers of the metric system. This video also appears in the strand Arithmetic and Pre-Algebra: Ratios and Proportions. [4:42]
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Khan Academy: Linear Algebra:defining a Plane in R3 With Point and Normal Vector
Video shows how to define a plane in R3 using a point on the plane and a normal vector to the plane. Includes a visual representation to help understanding. [13:53]
Khan Academy
Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
Khan Academy
Khan Academy: Algebra: Polynomial Divided by Monomial
Video demonstrates how to divide a polynomial by a monomial. Example problem is solved first as division problem and then using multiplication by a fraction. [4:44]
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Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Illustrates that when a matrix equation is built with a singular matrix, then there are no solutions because the system it represents is that of two parallel lines. Shows...
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Khan Academy: Differential Equations: Exact Equations Example 2
Video shows an example of determining if a differential equation is exact and how to solve it. Also shows an example which is not exact. [8:01]