Cuemath
Cuemath: Imaginary Numbers
In this lesson plan, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.
Math Warehouse
Math Warehouse: Complex and Imaginary Numbers
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Skill in Algebra: Complex or Imaginary Numbers
Clearly and thoroughly explains complex numbers. Provides example problems and exercises for students, with solutions available.
CK-12 Foundation
Ck 12: Analysis: Imaginary Numbers
[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,...
CK-12 Foundation
Ck 12: Imaginary Numbers
[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.
Oswego City School District
Regents Exam Prep Center: Simplifying Square Roots With Negative Numbers
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.
University of Toronto (Canada)
How Can One Show That Imaginary Numbers Really Do Exist?
Contains a brief summary about the theory of imaginary numbers.
Mathigon
Mathigon: Real, Irrational, Imaginary Numbers
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
Khan Academy
Khan Academy: Simplify Roots of Negative Numbers
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.
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value
Contains detailed information on absolute values for complex numbers.
Cuemath
Cuemath: Complex Numbers
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
Math Is Fun
Math Is Fun: The Evolution of Numbers
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...
Interactive Mathematics
Interactive Mathematics: Complex Numbers: Basic Definitions
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...
CK-12 Foundation
Ck 12: Complex Numbers
[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,...
Friesian School
Friesian.com: Imaginary Numbers
This site from Friesian.com contains a detailed definition of imaginary numbers along with a few examples.
Oswego City School District
Regents Exam Prep Center: Absolute Value of Complex Numbers
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.
University of Toronto (Canada)
University of Toronto: Imaginary Numbers in Real World
This site from the University of Toronto contains revelant information regarding imaginary number appliances to the real world.
Alabama Learning Exchange
Alex: Imaginary Numbers? What Do You Mean Imaginary?
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...
Khan Academy
Khan Academy: Powers of the Imaginary Unit
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.
CK-12 Foundation
Ck 12: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms...
Purple Math
Purplemath: Complex Numbers: Introduction
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...
CK-12 Foundation
Ck 12: Find Imaginary Solutions: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] Here you will learn about the Fundamental Theorem of Algebra, and how to apply it to various functions. You will also review using the quadratic equation to find...
University College London
University College London: Complex Numbers: Real and Imaginary Parts
Contains a brief summary about the real and imaginary parts of complex numbers.
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...