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Mrao: Imaginary Numbers Are Not Real
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.
Math Warehouse
Math Warehouse: Complex and Imaginary Numbers
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
University of Toronto (Canada)
How Can One Show That Imaginary Numbers Really Do Exist?
Contains a brief summary about the theory of imaginary numbers.
National Council of Teachers of Mathematics
The Math Forum: Drexel University Math Forum: Imaginary Numbers
Contains a short summary on imaginary numbers and several links to its related fields. Also provides several examples and explanations for understanding.
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,...
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.
University of Toronto (Canada)
Do "Imaginary Numbers" Really Exist?
Contains a brief explanation of the existence of imaginary numbers.
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: 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.
Alabama Learning Exchange
Alex: Imaginary Numbers? What Do You Mean Imaginary?
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...
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.
Free Math Help
Free Math Help: Imaginary Numbers
The lesson investigates imaginary numbers. An explanation and sample exercises are provided.
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: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] A collection of resources that explain complex numbers and how to do arithmetic with them.
Oswego City School District
Regents Exam Prep Center: Complex Numbers
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
Wolfram Research
Wolfram Math World: Imaginary Number
Contains a brief definition of an imaginary number. Includes special links and topic search engine.
Math Medics
S.o.s. Math: The Complex Numbers
This lesson may be useful to both persons with prior knowledge of complex numbers and those without. The lesson begins with the definition of complex numbers and its notation, then gives the rules of arithmetic for them with exercises....
CK-12 Foundation
Ck 12: Analysis: Products and Quotients of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying and dividing complex numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Interactive Mathematics
Interactive Mathematics: Complex Numbers
The world of complex numbers is explored through mini lessons, interactive examples, applications and demonstrations. Topics covered include definitions, basic operations, graphing, different forms of complex numbers, products,...
Wolfram Research
Wolfram Math World: I
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...
Math Words
Math words.com: Complex Numbers
At MathWords.com, a definition is given for what complex numbers are, along with some examples.
Khan Academy
Khan Academy: Powers of Complex Numbers
Simplify a power of a complex number z^n, or solve an equation of the form z^n=k. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
University of Toronto (Canada)
The Origin of Complex Numbers and the Notation "I"
Contains a brief summary on the origin of complex numbers.
Oswego City School District
Regents Exam Prep Center: Cyclic Nature of the Powers of "I"
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.
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