CK-12 Foundation
Ck 12: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms...
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...
![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.
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.
Khan Academy
Khan Academy: Divide Complex Numbers
Given a complex number division problem, express the result as a complex number of the form a+bi. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
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.
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: Products and Quotients of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] A collection of resources for learning about and practicing how to multiply and divide complex numbers.
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.
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: 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.
Cuemath
Cuemath: Imaginary Numbers
In this lesson, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.
CK-12 Foundation
Ck 12: Algebra Ii: 1.6 the Complex Plane
This section includes operations with imaginary and complex numbers and plotting numbers on the complex plane.
CK-12 Foundation
Ck 12: 1.5 From Quadratics to Complex Numbers
This section introduces imaginary and complex numbers in the context of solutions to quadratic equations that don't have real-number solutions.