Khan Academy
Khan Academy: Algebra: Scientific Notation Example 2
Video multiplying two numbers in scientific notation. Includes brief review of what scientific notation is and a link to additional practice. [5:23]
Khan Academy
Khan Academy: Algebra: Testing Solutions for a System of Inequalities
This video demonstrates how to take a given point and test if it is a solution for a system of inequalities by using substitution. [1:15]
Khan Academy
Khan Academy: Trigonometry: Trigonometric System Example
Video demonstrates solving for all possible values of theta for a trigonometric system of three equations. [11:02]
Khan Academy
Khan Academy: Algebra: u.s. Customary and Metric Units
An introductory video introducing the U.S. customary and metric units and which units measure length, mass, and volume. This video also appears in the strand Arithmetic and Pre-Algebra: Ratios and Proportions. [5:10]
Khan Academy
Khan Academy: Algebra: Solving Systems by Elimination 2
This video demonstrates how to solve a system of linear equations by eliminating a variable. The given system is of two equations in two variables. [3:45]
Khan Academy
Khan Academy: Algebra: Multiplying Binomials With Radicals
Video demonstrates how to multiply two polynomials when each polynomial contains one variable term and one radical (constant) term. [6:03]
Khan Academy
Khan Academy: Linear Algebra: Orthogonal Matrices Preserve Angles and Lengths
Video lesson about how orthogonal matrices preserve lengths and angles of vectors when multiplied. Preservation of lengths is shown by manipulating the length of the square of an orthogonal matrix times a vector and preservation of...
Khan Academy
Khan Academy: Algebra: Proof: A(log B) = Log (B^a), Log a Log B = Log (A/b)
Shows a proof of the logarithm power property and the property that division inside the log can be turned into subtraction outside the log. [7:58]
Khan Academy
Khan Academy: Differential Equations:repeated Roots of Characteristic Equation 2
Video shows example of solving a second order linear homogeneous differential equation when the characteristic equation has repeated roots. Includes using initial conditions to find a particular solution. [8:52]
Khan Academy
Khan Academy: Geometry: Heron's Formula
Demonstrates how to find the area of a triangle using Heron's formula. Practice problems available. [4:43]
Khan Academy
Khan Academy: Geometry: Point Line Distance and Angle Bisectors
Proof that a point on the angle bisector is equidistant from each side of the angle and proof that a point that is equidistant from each side of the angle lies on the angle bisector. [10:57]
Khan Academy
Khan Academy: Algebra: Absolute Value Inequalities Example 2
A step-by-step video explaining how to solve and graph all possible values of an absolute value inequality and test the solution set. [4:38]
Khan Academy
Khan Academy: Geometry: Triangle Area Proofs
Proof that the area of any triangle is half the product of the base and the height. Three different types of triangles are used to prove the formula. [10:23]
Khan Academy
Khan Academy: Geometry: Area of Diagonal Generated Triangles of Rect. Are Equal
This video tutorial [4:36] shows that the four triangles created by the diagonals of a rectangle all have the same area.
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4D
Video shows how to calculate the average rate of change of a function over an interval and explains why it does not contradict the Mean Value Theorem. [5:46]
Khan Academy
Khan Academy: Linear Algebra: Simplifying Conditions for Invertibility
A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form. This video is also found in the strand Algebra: Matrices. [6:37]
Khan Academy
Khan Academy: Algebra: Rationalizing Denominators of Expressions
Video demonstrates how to rationalize and simplify an expression that has a binomial in the numerator and square root of 8 in the denominator. [4:58]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #2 (A & B)
Video shows how to use a table of values to determine the approximate rate of change at a given time. Also explains what a definite integral means in terms of the situation and shows how to use a trapezoidal sum to estimate the integral....
Khan Academy
Khan Academy: Algebra: Complex Numbers: Dividing Complex Numbers
Video shows an example of dividing complex numbers using complex conjugates. [4:58]
Khan Academy
Khan Academy: Algebra: Compound Inequalities 4
Video demonstrates step-by-step how to approach a compound inequality with no solution set since the problem requires the solution to meet both sets of criteria. Practice problems available. [2:41]
Khan Academy
Khan Academy: Pre Calculus: 2003 Aime Ii Problem 8
A video showing the step-by-step solution of problem 8 from the 2003 American Invitational Mathematics Examination. The first three terms in a sequence are given. The sequence is created by multiplying the corresponding terms of two...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Prime Factorization
This video shows how to find the prime factorization of a two-digit number and write the answer in exponential notation. Practice problems available. Practice problems are available. [4:09]
Khan Academy
Khan Academy: Algebra: Equation Special Cases
A video that demonstrates an equation that results in no solution. [1:55]
Khan Academy
Khan Academy: Linear Algebra: Orthogonal Complement of the Orthogonal Complement
A video proving that the orthogonal complement of the orthogonal complement of some subspace V must be a member of the original subspace V. Proves that V and the orthogonal complement of the orthogonal complement of V are exactly the...