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Handout
Paul Dawkins

Paul's Online Notes: Complex Numbers Primer

For Students 9th - 10th Standards
This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Complex Numbers

For Students 9th - 10th Standards
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
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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.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
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...
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Handout
Oswego City School District

Regents Exam Prep Center: Multiply and Divide Complex Numbers

For Students 9th - 10th Standards
This tutorial shows students how to multiply and divide complex numbers and includes the topic of conjugates. Includes link to a graphing calculator tutorial.
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Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Preliminaries: Complex Numbers

For Students 9th - 10th Standards
This math tutorial features notes and examples that illustrate complex numbers including standard form, adding, subtracting, multiplying and dividing them.
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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...
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Unit Plan
OnlineMathLearning.com

Online Math Learning: Factor Polynomials With Complex Roots

For Students 9th - 10th Standards
A collection of video lessons with example problems and solutions to help students learn how to extend polynomial identities to the complex numbers. Includes interactive widget for working on the modeled problems or trying your own.
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Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: Axonometry: Applying Complex Numbers to Art

For Teachers 9th - 10th Standards
Axonometry is an illumination that has students discover relationships between complex numbers and graphing. Students make connections between algebraic and graphical representations of a complex number.
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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.
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Handout
Northern Illinois University

Northern Illinois University: Roots Unique Factorization

For Students 9th - 10th
This site from the Northern Illinois University contains relevant information about complex nth roots of unity. Includes important formulas.
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Handout
Wolfram Research

Wolfram Math World: Complex Conjugate

For Students 9th - 10th Standards
This site contains an explanation of complex conjugates. Then it goes on to list and display charts and formulas. Links are also provided for additional information.
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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.
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Handout
Wolfram Research

Wolfram Math World: Triangle Inequality

For Students 9th - 10th
This MathWorld site gives a good explanation of triangle inequality. The reader should be familiar with summation notation.
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Activity
Texas Instruments

Texas Instruments: Steady State Circuit Analysis & Filter Design

For Teachers 9th - 10th
This activity shows how the handheld implements phasors to perform sinusoidal steady-state analysis. The focus is on how to enter and display complex numbers.
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Handout
Wolfram Research

Wolfram Math World: Complex Number

For Students 9th - 10th Standards
This MathWorld site give a thorough definition of complex numbers. The first paragraph explains the fundamental knowlege base and notation for complex numbers. The site discusses complex numbers in the phasor form, de Moivre's identity,...
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Activity
Math Medics

S.o.s. Math: The Complex Numbers

For Students 9th - 10th Standards
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....
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Numeros Complejos

For Students 9th - 10th Standards
In Spanish. In this unit you will be able to practice interactively the concept of complex numbers in binomial and polar forms.
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Handout
Other

Stat Soft: Statistics Glossary

For Students 9th - 10th
Dozens of statistical terms are defined and illustrated in this glossary.
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Graphic
Clark University

Clark University: Dave's Short Trig Course: Complex Numbers

For Students 9th - 10th Standards
This site from a professor at Clark University teaches you about complex numbers.
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Handout
Clark University

Clark University: Dave's Short Trig Course: Complex Numbers

For Students 9th - 10th Standards
Contains general information regarding complex numbers and roots of unity.
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Unknown Type
McGraw Hill

Glencoe Mathematics: Quiz on the Complex Plane and Polar Form of Complex Numbers

For Students 9th - 10th Standards
The online assessment demonstrates knowledge of Trigonometry. The questions test students on the complex plane and polar form of complex numbers.
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Graphic
Other

The Complex Plane Examples

For Students 9th - 10th Standards
An advanced look into the complex plane, with detailed examples.