Instructional Video
Khan Academy

Khan Academy: Algebra: Fractional Exponent Expressions 3

9th - 10th Standards
Video simplifying a rational algebraic expression with fractional exponents and a square root. [6:32]
Instructional Video
Khan Academy

Khan Academy: Algebra: Matrices: Matrix Multiplication (Part 2)

9th - 10th Standards
This lesson goes through three examples of matrix multiplication. Explains how the dimensions of matrices affect whether or not the matrices can be multiplied, how to determine if they can be multiplied, and what size the resulting...
Instructional Video
Khan Academy

Khan Academy: Algebra: Fractional Exponent Expressions 2

9th - 10th Standards
Video simplifying an algebraic expression with fractional exponents and a square root. [7:32]
Instructional Video
Khan Academy

Khan Academy: Intro to Complex Number Conjugates

9th - 10th Standards
An instructional video describing complex conjugates. Complex conjugates are defined and then used to simplify a problem in which a complex number is divided by another complex number. [8:03]
Instructional Video
Khan Academy

Khan Academy: Algebra: Complex Numbers: Multiplying Complex Numbers

9th - 10th Standards
Video shows an example of multiplying complex numbers. [5:32]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Determinant and Area of a Parallelogram

9th - 10th Standards
Video demonstrating that the area of a parallelogram created by graphing the column vectors of a 2x2 matrix is the equivalent to the absolute value of the determinant of the matrix. Pythagorean theorem, in conjunction with calculating a...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Distributive Property of Matrix Products

9th - 10th Standards
Video shows that the distributive property is true for multiplying matrices. [9:52]
Instructional Video
Khan Academy

Khan Academy: Algebra: Complex Numbers: Subtracting Complex Numbers

9th - 10th Standards
Video shows an example of subtracting complex numbers. [1:53]
Instructional Video
Khan Academy

Khan Academy: Algebra: Complex Numbers: Dividing Complex Numbers

9th - 10th Standards
Video shows an example of dividing complex numbers using complex conjugates. [4:58]
Instructional Video
Khan Academy

Khan Academy: Algebra: Conic Sections: Focus and Directrix of a Parabola 2

9th - 10th Standards
A video lesson that provides instruction on finding the focus and directrix of a parabola. The majority of the video shows how the formulas for the focus and directrix are derived. Then a concrete example is given and the formulas are...
Instructional Video
Khan Academy

Khan Academy: Geometry: Ca Geometry: Pythagorean Theorem, Compass Constructions

9th - 10th Standards
This video tutorial demonstrates solutions to problems #51-55 of the California Geometry released state test questions. Problems address proving and using the Pythagorean theorem and compass constructions. [12:35]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Matrix Vector Products

9th - 10th Standards
Video starts with reviewing matrix notation. Defines multiplying a matrix by a vector and shows examples. Shows how the matrix-vector products can be interpreted as the dot product of column vectors with a matrix or as a weighted linear...
Instructional Video
Khan Academy

Khan Academy: Algebra: Complex Numbers: Complex Roots From the Quadratic Formula

9th - 10th Standards
Video shows how to use the quadratic formula to find roots of a quadratic equation in a situation where the roots are complex. Includes showing how to verify the answers are correct solutions of the quadratic. [10:15]
Instructional Video
Khan Academy

Khan Academy: Trigonometry: Proof: Law of Sines

9th - 10th Standards
Video deriving the law of sines. Includes discussion of why it is useful. [6:33]
Instructional Video
Khan Academy

Khan Academy: Geometry: Ca Geometry: Compass Construction

9th - 10th Standards
Demonstrates solutions to problems #56-60 of the California Geometry released state test questions. Problems address compass constructions, slope of perpendicular lines, and using the distance formula. [12:49]
Instructional Video
Other

Represent Data With Matrices hsn.vm.c.6

9th - 10th Standards
A clear introduction by a high school teacher to the fundamentals of how to use matrices to represent data, including the basics of what a matrix is. Includes lots of examples for different contexts. [8:55]
Instructional Video
Other

Secc: Hsn cn.c.8: Extend Polynomial Identities to the Complex Numbers

9th - 10th Standards
This resource is from the Southeast Comprehensive Center (SECC) at the American Institute for Research which is funded by the U.S. Department of Education. The video explains Common Core Standard HSN-CN.C.8 which states: Extend...
Instructional Video
Sophia Learning

Sophia: Finding the Equation of a Circle: Lesson 1

9th - 10th Standards
This lesson derives the equation for a circle starting from the distance formula. It is 1 of 9 in the series titled "Finding the Equation of a Circle." [3:58]
Instructional Video
Sophia Learning

Sophia: Finding the Area of a Sector Using the Central Angle: Lesson 3

9th - 10th Standards
This lesson explains how the central angle can be used to determine the area of a sector. It is 3 of 5 in the series titled "Finding the Area of a Sector Using the Central Angle." [8:03]
Instructional Video
Sophia Learning

Sophia: Finding the Area of a Sector Using the Central Angle: Lesson 4

9th - 10th Standards
This lesson explains how the central angle can be used to determine the area of a sector. It is 4 of 5 in the series titled "Finding the Area of a Sector Using the Central Angle." [4:53]
Instructional Video
Sophia Learning

Sophia: Finding the Area of a Sector Using the Central Angle: Lesson 1

9th - 10th Standards
This lesson explains how the central angle can be used to determine the area of a sector. It is 1 of 5 in the series titled "Finding the Area of a Sector Using the Central Angle." [2:53]
Instructional Video
Sophia Learning

Sophia: Finding the Equation for an Ellipse: Lesson 3

9th - 10th Standards
This lesson explains how to find the equation for an ellipse given its foci and vertices. It is 3 of 4 in the series titled "Finding The Equation For An Ellipse." [7:45]
Instructional Video
Sophia Learning

Sophia: Subtracting Vector Components: Lesson 1

9th - 10th Standards
This lesson demonstrates how to subtract vector components. It is 1 of 2 in the series titled "Subtracting Vector Components." [10:32]
Instructional Video
Sophia Learning

Sophia: Subtracting Vectors Using the Tail to Tip Method: Lesson 2

9th - 10th Standards
This lesson demonstrates how to subtract vectors using the tail-to-tip method. It is 2 of 2 in the series titled "Subtracting Vectors Using the Tail-to-Tip Method." [8:42]