Activity
University of Toronto (Canada)

Do "Imaginary Numbers" Really Exist?

For Students 9th - 10th Standards
Contains a brief explanation of the existence of imaginary numbers.
Handout
Interactive Mathematics

Interactive Mathematics: Complex Numbers: Basic Definitions

For Students 9th - 10th Standards
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...
Unit Plan
CK-12 Foundation

Ck 12: Imaginary Numbers

For Students 9th - 10th Standards
[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.
Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 10th - 12th Standards
[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,...
Handout
Other

Imaginary Numbers Are Not Imaginary.

For Students 9th - 10th Standards
This site explores the concept of why imaginary numbers are not imaginary.
Handout
Friesian School

Friesian.com: Imaginary Numbers

For Students 9th - 10th Standards
This site from Friesian.com contains a detailed definition of imaginary numbers along with a few examples.
Activity
Oswego City School District

Regents Exam Prep Center: Absolute Value of Complex Numbers

For Students 9th - 10th Standards
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.
Handout
Clark University

Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value

For Students 9th - 10th Standards
Contains detailed information on absolute values for complex numbers.
Handout
University of Toronto (Canada)

University of Toronto: Imaginary Numbers in Real World

For Students 9th - 10th Standards
This site from the University of Toronto contains revelant information regarding imaginary number appliances to the real world.
Lesson Plan
Alabama Learning Exchange

Alex: Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 10th
Is it any wonder that learners 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...
Activity
Oswego City School District

Regents Exam Prep Center: Simplifying Square Roots With Negative Numbers

For Students 9th - 10th
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.
Handout
Free Math Help

Free Math Help: Imaginary Numbers

For Students 9th - 10th Standards
The lesson investigates imaginary numbers. An explanation and sample exercises are provided.
Unit Plan
Khan Academy

Khan Academy: Powers of the Imaginary Unit

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Products and Quotients of Complex Numbers

For Students 11th - 12th Standards
[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,...
Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 9th - 10th Standards
[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.
eBook
Math Planet

Math Planet: Algebra 2: Complex Numbers

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to complex numbers.
Handout
Purple Math

Purplemath: Complex Numbers: Introduction

For Students 9th - 10th Standards
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...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Complex Numbers

For Students 9th - 10th Standards
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.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
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...
Handout
Math Open Reference

Math Open Reference: Imaginary Number

For Students 9th - 10th Standards
Learn about imaginary numbers with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Handout
University College London

University College London: Complex Numbers: Real and Imaginary Parts

For Students 9th - 10th Standards
Contains a brief summary about the real and imaginary parts of complex numbers.
Handout
Wolfram Research

Wolfram Math World: Imaginary Number

For Students 9th - 10th Standards
Contains a brief definition of an imaginary number. Includes special links and topic search engine.
Activity
Math Medics

S.o.s. Math: The Complex Numbers

For Students 9th - 10th Standards
This lesson may be useful to both persons with prior knowledge of complex numbers and those without. The lesson begins with the definition of complex numbers and its notation, then gives the rules of arithmetic for them with exercises....
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Products and Quotients of Complex Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying and dividing complex numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...

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