Handout
Thomson Brooks-Core

Complex Numbers

For Students 10th - 12th
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers...
Handout
3
3
El Paso Community College

Quadratic Equations

For Students 9th - 12th Standards
This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem...
Lesson Plan
Virginia Department of Education

Quadratic Equations

For Teachers 9th - 12th
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
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.
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...
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...
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.
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.
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.
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...
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.
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.
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
Math Open Reference

Math Open Reference: Complex Numbers

For Students 9th - 10th Standards
Explore complex numbers with this easy reference guide. Learn that complex numbers lie on a two-dimensional flat plane and have two components called the real and imaginary parts. Provides definitions and interactive activities that...
Handout
Johan Claeys

Math Abundance: An Introduction to Complex Numbers

For Students 9th - 10th Standards
A complete explanation of complex numbers that includes lessons on adding, subtracting, multiplying, and dividing them, as well as more advanced topics.
Handout
Wolfram Research

Wolfram Math World: I

For Students 9th - 10th
The imaginary number (also called the imaginary unit) is defined as the square root of negative one. This site explains the rational for the existence of the imaginary number "i" and gives formulas involving "i" including Euler's...

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