Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Dividing a Decimal by a Power of 10
This video shows how to divide a decimal by a power of ten. Practice problems are available. [3:18]
Khan Academy
Khan Academy: Algebra: Solving Systems by Substitution 2
This video demonstrates how to solve a system of linear equations by substitution. Example problem is of two equations in two variables. [4:06]
Khan Academy
Khan Academy: Algebra: Proof by Induction
Video introducing inductive proofs and then showing how to use induction to prove the formula for the sum of all integers up to and including n. [9:23]
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Khan Academy: Linear Algebra: Projections Onto Subspaces With Orthonormal Bases
Video giving another reason why orthonormal bases are useful. First reviews how to find the projection of a vector onto a subspace and then describes how an orthonormal basis can be used to find the projection. Simplifies the...
Khan Academy
Khan Academy: Linear Algebra:sums and Scalar Multiples of Linear Transformations
Video first defines the sum of transformations. Shows that the sum of two transformations is equal to the sum of their transformation matrices. Defines scalar multiples of linear transformations and shows that they are equal to the...
Khan Academy
Khan Academy: Geometry: Euclid as the Father of Geometry
Introduction to Euclid, Euclid's Elements, and Euclidean geometry. [8:23]
Khan Academy
Khan Academy: Algebra: Independent and Dependent Systems
This video demonstrates what it means to be a dependent or independent system of linear equations. It also shows how to determine if a given system is dependent or independent. [5:10]
Khan Academy
Khan Academy: Statistics: Second Regression Example
Video demonstrates how to calculate the equation of the regression line from a set of 4 points. Leads up to determining the coefficient of determination or r-squared which is shown in the next video. [9:15]
Khan Academy
Khan Academy: Linear Algebra: (Correction) Scalar Multiplication of Row
A brief video correcting a notational mistake that was made in the previous video on how scalar multiplication affects the determinant. The formula in the previous video shows the entries being multiplied by the sub-matrices, when really...
Khan Academy
Khan Academy: Algebra: Solving Systems of Equations by Multiplication
This video demonstrates more examples of how to solve systems of equations by elimination. The examples in this video require that one or both equations be scaled in order to eliminate a variable. [12:00]
Khan Academy
Khan Academy: Linear Algebra: Matrix Product Examples
Video shows example of multiplying matrices. Includes explanation of the dimensions needed in order for matrices to be able to be multiplied. Connects to the composition of linear transformations. This video also appears in the strand...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Growing by a Percentage
This video shows how to calculate the total amount after a number has grown by a certain percentage. Practice problems are available. [9:43]
Khan Academy
Khan Academy: Algebra: Growing by a Percentage
This video demonstrates how to find the new value of a number after it grows by a given percent. It also shows to set up and solve an algebraic equation in order to determine the original amount before a certain number grows by a given...
Khan Academy
Khan Academy: Algebra: Absolute Inequalities 2
A step-by-step demonstration on how to solve an inequality with an absolute value and fractions. [7:30]
Khan Academy
Khan Academy: Trigonometry: Iit Jee Trigonometry Problem 1
Video demonstrates simplifying a trigonometric expression relating unknown sides and angles of a triangle by using trigonometric identities. [15:13]
Khan Academy
Khan Academy: Statistics: Anova 3 Hypothesis Test With F Statistic
Video demonstrates how to calculate an F-statistic and use the F-distribution to determine whether to accept or reject a null hypothesis. [10:14]
Khan Academy
Khan Academy: Algebra: X and Y Intercepts
This video demonstrates how to find the x and y intercepts given a linear equation. Once the intercepts are found it also shows how to graph the line on a coordinate plane. Practice problems available. [4:08]
Khan Academy
Khan Academy: Linear Algebra: Determinant of a Transpose
Video demonstrating that the determinant of a matrix is equivalent to the determinant of the transpose of a matrix. Proof by induction is used to prove this property. [14:10]
Khan Academy
Khan Academy: Linear Algebra: Another Example of a Projection Matrix
A video lesson working another example for finding the projection of an arbitrary vector onto a specific subspace in R3. The basis of the subspace is a 3 x 2 matrix. Uses an alternate method for find the transformation matrix that...
Khan Academy
Khan Academy: Algebra: Addition and Subtraction With Significant Figures
Video showing how to add and subtract numbers using significant figures. Contrasts adding and subtracting with significant figures with multiplying and dividing. [8:59]
Khan Academy
Khan Academy: Algebra: Scientific Notation 3
Video solving an application problem where numbers in scientific notation need to be divided. Includes link to additional practice at the top of the video. [6:21]
Khan Academy
Khan Academy: Algebra: Equations 2
This video demonstrates how to solve equations of the form Ax + B=C. There are two indepth examples that also demonstrate how to add and subtract positive and negative integers. Practice problems available. [8:41]
Khan Academy
Khan Academy: Algebra: Quadratic Formula 3
Explains how to determine the number of solutions a quadratic equation has based on the value of the discriminant. [4:59]