Lawrence Hall of Science
The Math Page: Skill in Algebra: Skill in Algebra: Complex or Imaginary Numbers
Clearly and thoroughly explains complex numbers. Provides example problems and exercises for students, with solutions available.
Physics Aviary
Physics Aviary: Velocity Vector in 3 D
A program that will randomly move an object from one location to another in three-dimensional space. You must determine the three components of the velocity vector that is created by this movement and also the speed of the object during...
CK-12 Foundation
Ck 12: Vector Addition
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to add two vectors with either the triangle method or the parallelogram method.
CK-12 Foundation
Ck 12: Vector Sum and Difference
[Free Registration/Login may be required to access all resource tools.] Looks at finding the direction and magnitude of vectors and breaking vectors into component parts.
CK-12 Foundation
Ck 12: Inscribed and Circumscribed Circles of Triangles
[Free Registration/Login Required] Students will move points on a circle to determine the relationships between the inscribed and circumscribed circles of triangles. Click 'Challenge Me' to answer practice questions.
CK-12 Foundation
Ck 12: Inscribed Quadrilaterals in Circles
[Free Registration/Login Required] Students will explore quadrilaterals inscribed in circles with this interactive activity. Click 'Challenge Me' to answer a practice question.
CK-12 Foundation
Ck 12: Trigonometry: Introduction to the Triangle Area Formula
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the area of a triangle using sine.
CK-12 Foundation
Ck 12: Analysis: Products and Quotients of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] In this lesson, students calculate the products and quotients of complex numbers, identifying conjugates. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...
CK-12 Foundation
Ck 12: Polar Form of a Complex Number
[Free Registration/Login may be required to access all resource tools.] Here you will learn how to convert complex numbers from rectangular form to polar form. You will also explore the graphs of complex numbers on a polar graph.
CK-12 Foundation
Ck 12: Geometry: Laws of Sines and Cosines
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find missing sides and angles in non-right triangles using the Laws of Sines and Cosines.
CK-12 Foundation
Ck 12: Unit Vectors and Components
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to break down a vector into component vectors and unit vectors.
CK-12 Foundation
Ck 12: Arithmetic: Multiplication of Rational Numbers
[Free Registration/Login may be required to access all resource tools.] Learn how to multiply rational numbers. Includes examples, videos, and practice questions.
CK-12 Foundation
Ck 12: Geometry: Pythagorean Theorem and Pythagorean Triples
[Free Registration/Login may be required to access all resource tools.] Apply the Pythagorean Theorem and its converse. Includes videos, exercises, links to interactive activities, etc.
CK-12 Foundation
Ck 12: Find Imaginary Solutions
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...
CK-12 Foundation
Ck 12: Vector Scalar Product: Vector Multiplied by a Scalar
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to multiply a vector by a scalar, what the resulting quantity is, and how to represent it.
CK-12 Foundation
Ck 12: Algebra: Limitations of Matrix Multiplication
[Free Registration/Login may be required to access all resource tools.] This lesson shows you how to determine if two matrices can be multiplied together and explains that the commutative property does not apply.
CK-12 Foundation
Ck 12: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] This lesson covers the powers of i, and adding and subtracting complex numbers, as well as how to plot them in the complex plane. Students examine guided notes,...
CK-12 Foundation
Ck 12: Trigonometry: Vector Subtraction
[Free Registration/Login may be required to access all resource tools.] Learn how to subtract two vectors using the triangle method.
CK-12 Foundation
Ck 12: Geometry: Chords in Circles
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply chord theorems. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
CK-12 Foundation
Ck 12: Matrices to Represent Data
[Free Registration/Login may be required to access all resource tools.] A collection of resources to help students understand how to use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in...
CK-12 Foundation
Ck 12: Applications of Matrices
[Free Registration/Login may be required to access all resource tools.] Provides resources for working with 2 x 2 matrices as transformations of the plane, and interpreting the absolute value of the determinant in terms of area.
CK-12 Foundation
Ck 12: Inverse Matrices
[Free Registration/Login may be required to access all resource tools.] A collection of resources that teaches students that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1...
CK-12 Foundation
Ck 12: Matrix Multiplication
[Free Registration/Login may be required to access all resource tools.] A collection of resources that teach students that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but...