Lesson Plan
Cuemath

Cuemath: Imaginary Numbers

For Students 9th - 10th Standards
For this lesson, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.
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.
Handout
Cut the Knot

Cut the Knot!: What Is a Number?

For Students 9th - 10th Standards
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
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.
Handout
Other

Mrao: Imaginary Numbers Are Not Real

For Students 9th - 10th Standards
This site presents a tutorial introduction to the ideas of geometric algebra. Gives an outline of geometric algebra and discusses the geometric product, imaginary numbers, and more.
Handout
Math Warehouse

Math Warehouse: Complex and Imaginary Numbers

For Students 9th - 10th Standards
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
Lesson Plan
Better Lesson

Better Lesson: Tubing Tens Cool Off With an Imaginary River Adventure

For Teachers 3rd
If you know how to count by tens, you can solve multiplication problems in which ten is a factor.
Handout
Math Open Reference

Math Open Reference: Number

For Students 9th - 10th
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
Activity
Oswego City School District

Regents Exam Prep Center: Cyclic Nature of the Powers of "I"

For Students 9th - 10th
Students learn two easy methods to simplify "i" with any exponent. The practice page has several problems that include explanations. The teacher resource page has two possible activities for helping students understand the concept.
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Imaginary Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students will identify imaginary and complex numbers, basic evaluation of imaginary numbers. Students examine guided notes, review guided practice,...
Handout
Math Open Reference

Math Open Reference: Root (Of a Number)

For Students 9th - 10th Standards
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.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Imaginary Exponents and Euler's Equation

For Students 9th - 10th
"What does it mean to have an imaginary exponent?" This site has an exceptional answer and explains it in two different ways
Handout
University of Toronto (Canada)

How Can One Show That Imaginary Numbers Really Do Exist?

For Students 9th - 10th Standards
Contains a brief summary about the theory of imaginary numbers.
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
National Council of Teachers of Mathematics

The Math Forum: Drexel University Math Forum: Imaginary Numbers

For Students 9th - 10th Standards
Contains a short summary on imaginary numbers and several links to its related fields. Also provides several examples and explanations for understanding.
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.
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...
eBook
Mathigon

Mathigon: Real, Irrational, Imaginary Numbers

For Students 9th - 10th Standards
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
Lesson Plan
Alabama Learning Exchange

Alex: Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 10th
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...
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.
Unknown Type
Khan Academy

Khan Academy: Classify Complex Numbers

For Students 9th - 10th Standards
Classify numbers as real, pure imaginary, or complex. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Parts of Complex Numbers

For Students 9th - 10th Standards
Determine the real and the imaginary parts of complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.

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