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
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.
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
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.
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
Lawrence Hall of Science

The Math Page: Skill in Algebra: Skill in Algebra: Complex or Imaginary Numbers

For Students 9th - 10th Standards
Clearly and thoroughly explains complex numbers. Provides example problems and exercises for students, with solutions available.
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
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

Imaginary Numbers Are Not Imaginary.

For Students 9th - 10th Standards
This site explores the concept of why imaginary numbers are not imaginary.
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
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.
Lesson Plan
Alabama Learning Exchange

Alex: Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 10th
Is it any wonder that young scholars 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...
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.
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.
Unit Plan
Khan Academy

Khan Academy: Simplify Roots of Negative Numbers

For Students 9th - 10th Standards
Rewrite square roots of negative numbers as imaginary 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.
Unknown Type
Khan Academy

Khan Academy: Simplify Roots of Negative Numbers

For Students 9th - 10th Standards
Rewrite square roots of negative numbers as imaginary numbers.
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.
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: 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
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.
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.
Lesson Plan
Alabama Learning Exchange

Alex: Classifying Complex Numbers

For Teachers 9th - 10th Standards
This lesson plan helps students 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.

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