CK-12 Foundation
Ck 12: Polar Form of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for...
CK-12 Foundation
Ck 12: Graphing Calculator to Analyze Polynomial Functions
[Free Registration/Login may be required to access all resource tools.] Extend polynomial identities to the complex numbers.
![Larson Precalculus: Operations of Complex Numbers in the Complex Plane [Pdf] Activity](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Larson Precalculus: Operations of Complex Numbers in the Complex Plane [Pdf] Activity")
Larson Texts
Larson Precalculus: Operations of Complex Numbers in the Complex Plane [Pdf]
A 3-page handout with examples and exercises in adding, subtracting, and multiplying complex numbers in the complex plane, as well as finding complex conjugates.
Math Planet
Math Planet: Algebra 2: Complex Numbers
Provides an explanation, examples, and a video lesson all related to complex numbers.
Mathigon
Mathigon: Real, Irrational, Imaginary Numbers
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
Math Warehouse
Math Warehouse: Complex and Imaginary Numbers
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
Cool Math
Coolmath: Factoring Complex Numbers Exercises
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
Illustrative Mathematics
Illustrative Mathematics: N Cn, a Rei Complex Square Roots
Working with complex numbers allows us to solve equations that cannot be solved with real numbers. Here we will investigate complex numbers which arise as square roots of certain complex numbers. Aligns with N-CN.A.2 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2, N cn.b.5, and N cn.c.8 Complex Cube Roots
This task has students further their understanding of the algebra of the complex numbers. Aligns with N-CN.A.2, N-CN.B.5,a nd N-CN.C.8.
Math Open Reference
Math Open Reference: Root (Of a Number)
Learn how to find the root of a number. Topics covered include two roots, roots of negative numbers, and imaginary numbers. This site offers descriptions along with multiple examples.
Khan Academy
Khan Academy: Complex Number Conjugates
Given a complex number, find its conjugate or plot it in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Factor Polynomials: Complex Numbers
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Interactive Mathematics
Interactive Mathematics: Products and Quotients of Complex Numbers
Complex numbers are multiplied and divided using polar and exponential forms. Several examples are provided to demonstrate the process. Includes practice questions.
Interactive Mathematics
Interactive Mathematics: Complex Numbers: Basic Definitions
After reviewing the process of solving quadratic and cubic equations, a definition of an imaginary number is given. Also included is a demonstration of simplifying powers of the imaginary number and writing complex numbers. Examples are...
Interactive Mathematics
Interactive Mathematics: Basic Operations With Complex Numbers
Add, subtract, multiply and divide complex numbers using these easy-to-follow examples.
Alabama Learning Exchange
Alex: Classifying Complex Numbers
This lesson helps learners distinguish between strictly complex numbers, strictly real numbers and strictly imaginary numbers while learning that real numbers and imaginary numbers are subsets of the set of complex numbers.
Math Open Reference
Math Open Reference: Complex Numbers
Explore complex numbers with this easy reference guide. Learn that complex numbers lie on a two-dimensional flat plane and have two components called the real and imaginary parts. Provides definitions and interactive activities that...
Khan Academy
Khan Academy: Simplify Roots of Negative Numbers
Rewrite square roots of negative numbers as imaginary numbers.
Khan Academy
Khan Academy: Parts of Complex Numbers
Determine the real and the imaginary parts of complex numbers.
Khan Academy
Khan Academy: Multiply Complex Numbers (Basic)
Multiply complex numbers by single terms that are either real or pure imaginary.
Khan Academy
Khan Academy: Add & Subtract Complex Numbers
Practice addition and subtraction with complex numbers.