Khan Academy
Khan Academy: Algebra: Multiplying in Scientific Notation
Video showing how to multiply three numbers written in scientific notation. [7:35]
Khan Academy
Khan Academy: Chemistry: Ideal Gas Equation Example 3
A video lecture giving an example of how to solve for the number of grams of a substance using the ideal gas law. The video shows step-by-step how to solve the problem. [5:46]
Khan Academy
Khan Academy: Linear Algebra: Deriving a Method for Determining Inverses
An instructional video that explains how the method for finding the inverse transformation matrix is derived. It is the same method for finding the inverse for any invertible matrix. [18:00]
Khan Academy
Khan Academy: Algebra: Partial Fractions Expansion 2
Video demonstrates how to perform partial fraction expansion on a given rational expression. In the given expression, the degree of the numerator is less than the degree of the denominator. The denominator is a difference of cubes. [13:02]
Khan Academy
Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Intersection
An instructional video that presents the solution to an IIT JEE problem about the intersection points of a circle and a hyperbola. Students must find the intersection points and then determine the equation for a circle whose diameter is...
Khan Academy
Khan Academy: Pre Calculus: Vi and Sal Talk About the Mysteries of Benford's Law
A video in which Benford's Law is described briefly and shown graphically. A couple of real-world examples are given in which the data follows Benford's Law. Students are motivated to think about why Benford's Law works. [8:04]
Khan Academy
Khan Academy: Algebra: Graphing Using X and Y Intercepts
This video demonstrates how to find the x and y intercepts of a line given the equation of the line. The video also shows how to graph the line on a coordinate plane after the x and y intercepts are determined. Practice problems...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Identity Property of 1
This video explains the identity property of multiplication. Practice problems are included. [1:24]
Khan Academy
Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 1
Video is first part of showing what happens in a secondnd order linear homogeneous differential equation when the roots of the characteristic equation are complex. Includes using Euler's formula. [10:27]
Khan Academy
Khan Academy: Differential Equations: First Order Homogeneous Equations 2
Video shows an example of using substitution to solve a first order homogeneous differential equation. [8:22]
Khan Academy
Khan Academy: Linear Algebra: Preimage and Kernel Example
Video first shows how to find the preimage of a set under a transformation. Shows visually what the preimage looks like on a graph. Explains that the kernel is the preimage of the zero vector. [15:23]
Khan Academy
Khan Academy: Geometry: Challenging Similarity Problem
Explains how to determine unknown side lengths in a complex diagram that involves similar triangles. [9:53]
Khan Academy
Khan Academy: Linear Algebra: Introduction to Orthonormal Bases
Video defining an orthonormal set as a set of vectors that all have the length of 1 and are orthogonal to each other. Using proof by contradiction, the set is proven to be linearly independent and can be considered an orthonormal basis....
Khan Academy
Khan Academy: Linear Algebra: Relationship Between Cross Product and Angle Sin
Video proving that the magnitude of the cross product of two vectors is equal to the product of their magnitudes and the sine of the angle between them. [18:09]
Khan Academy
Khan Academy: Linear Algebra: Point Distance to Plane
Video solving for the shortest distance between a point and a plane by building from the previous video where the normal vector to the plane is found. Distance is calculated by finding the dot product of the vector from the given point...
Khan Academy
Khan Academy: Biology: C 4 Photosynthesis
The process of how some plants perform C-4 photosynthesis. [16:58]
Khan Academy
Khan Academy: Algebra: Converting Yards to Inches
A step-by-step breakdown on how to convert a length in yards to inches. [5:48]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Improper Fraction to Mixed Number
This video shows how to write an improper fraction as a mixed number using drawings. Practice problems are available. [4:01]
Khan Academy
Khan Academy: Algebra: Ca Algebra I: Completing the Square
Demonstrates solutions to problems #48-52 of California Algebra I released state test questions. Problems address understanding of solving quadratic equations by factoring and completing the square. Practice problems available. [13:48]
Khan Academy
Khan Academy: Linear Algebra: Least Squares Examples
An instructional video that works through a concrete example of finding the least squares approximation for a system of equations that has no solution. [18:50]
Khan Academy
Khan Academy: Proof (Pt 4) Minimizing Squared Error to Regression Line
Video about deriving the formula for the least squares regression line. This final video finishes up the derivation of the formula for line of best fit by solving the system of equations created by the partial derivatives. It finally...
Khan Academy
Khan Academy: Geometry: Corresponding Angle Equivalence Implies Parallel Lines
Proof by contradiction that if two lines cut by a transversal create congruent corresponding angles then the lines are parallel. [5:18]
Khan Academy
Khan Academy: Algebra: Direct and Inverse Variation
Video describing direct and inverse variation by giving examples of equations and their corresponding table of values that fit each variation model. Includes link to additional practice at the top of the video. [9:54]
Khan Academy
Khan Academy: Algebra: Writing Proportions
This video demonstrates how to write a proportion by setting two ratios equal to each other. The video does not demonstrate how to solve the proportions, only set them up. This video is also found in the strand Algebra: Ratios and...