Math Is Fun
Math Is Fun: The Evolution of Numbers
Discusses what numbers are and how our understanding of them has evolved over thousands of years, from simple counting to negative numbers and irrational numbers, for example. Includes a set of practice questions where students identify...
Cuemath
Cuemath: Complex Numbers
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
Khan Academy
Khan Academy: Simplify Roots of Negative Numbers
Rewrite square roots of negative numbers as imaginary numbers.
University of Toronto (Canada)
Do "Imaginary Numbers" Really Exist?
Contains a brief explanation of the existence of imaginary numbers.
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...
CK-12 Foundation
Ck 12: Imaginary Numbers
[Free Registration/Login may be required to access all resource tools.] Know there is a complex number i such that i squared = -1, and every complex number has the form a + bi with a and b real.
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,...
Other
Imaginary Numbers Are Not Imaginary.
This site explores the concept of why imaginary numbers are not imaginary.
Friesian School
Friesian.com: Imaginary Numbers
This site from Friesian.com contains a detailed definition of imaginary numbers along with a few examples.
Oswego City School District
Regents Exam Prep Center: Absolute Value of Complex Numbers
This tutorial presents the absolute value of complex numbers using formulas, graphs, and examples. There are practice problems and a teacher resource page to assist students in understanding the concept.
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value
Contains detailed information on absolute values for complex numbers.
University of Toronto (Canada)
University of Toronto: Imaginary Numbers in Real World
This site from the University of Toronto contains revelant information regarding imaginary number appliances to the real world.
Alabama Learning Exchange
Alex: Imaginary Numbers? What Do You Mean Imaginary?
Is it any wonder that students are suspicious? We lead, sometimes drag, them through Algebra I insisting they must follow the order of operations. We make them learn the "hard way" of doing an assignment one day only to show them the...
Oswego City School District
Regents Exam Prep Center: Simplifying Square Roots With Negative Numbers
This tutorial and practice shows how to simplify radicals even with a negative number. Features include a teacher page that has a Bingo game to teach the concept.
Free Math Help
Free Math Help: Imaginary Numbers
The lesson investigates imaginary numbers. An explanation and sample exercises are provided.
Khan Academy
Khan Academy: Powers of the Imaginary Unit
Simplify expressions with base i (the imaginary unit) raised to a positive exponent. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] A collection of resources that explain complex numbers and how to do arithmetic with them.
Math Planet
Math Planet: Algebra 2: Complex Numbers
Provides an explanation, examples, and a video lesson all related to complex numbers.
Purple Math
Purplemath: Complex Numbers: Introduction
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Complex Numbers
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
Oswego City School District
Regents Exam Prep Center: Complex Numbers
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
Math Open Reference
Math Open Reference: Imaginary Number
Learn about imaginary numbers with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
University College London
University College London: Complex Numbers: Real and Imaginary Parts
Contains a brief summary about the real and imaginary parts of complex numbers.
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