Lesson Plan
Cuemath

Cuemath: Imaginary Numbers

For Students 9th - 10th Standards
In this activity, 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
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
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.
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.
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,...
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.
Handout
Math Is Fun

Math Is Fun: The Evolution of Numbers

For Students 9th - 10th Standards
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...
Unit Plan
Cuemath

Cuemath: Complex Numbers

For Students 9th - 10th Standards
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
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.
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 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...
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.

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