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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,...
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Unit Plan
CK-12 Foundation

Ck 12: Complex Numbers

For Students 9th - 10th Standards
[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.
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Activity
Interactive Mathematics

Interactive Mathematics: Products and Quotients of Complex Numbers

For Students 9th - 10th Standards
Complex numbers are multiplied and divided using polar and exponential forms. Several examples are provided to demonstrate the process. Includes practice questions.
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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...
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Lesson Plan
Alabama Learning Exchange

Alex: Classifying Complex Numbers

For Teachers 9th - 10th Standards
This lesson helps students distinguish between strictly complex numbers, strictly real numbers and strictly imaginary numbers while learning that real numbers and imaginary numbers are subsets of the set of complex numbers.
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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...
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Unknown Type
Khan Academy

Khan Academy: Parts of Complex Numbers

For Students 9th - 10th Standards
Determine the real and the imaginary parts of complex numbers.
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Unknown Type
Khan Academy

Khan Academy: Multiply Complex Numbers (Basic)

For Students 9th - 10th Standards
Multiply complex numbers by single terms that are either real or pure imaginary.
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Lesson Plan
Cuemath

Cuemath: Imaginary Numbers

For Students 9th - 10th Standards
In this lesson, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.
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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 1.6 the Complex Plane

For Students 9th - 10th Standards
This section includes operations with imaginary and complex numbers and plotting numbers on the complex plane.
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eBook
CK-12 Foundation

Ck 12: 1.5 From Quadratics to Complex Numbers

For Students 9th - 10th Standards
This section introduces imaginary and complex numbers in the context of solutions to quadratic equations that don't have real-number solutions.
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Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Complex Numbers [Pdf]

For Students 9th - 10th Standards
The resource discusses complex numbers. Topics examined are the complex plane, complex conjugates, dividing complex numbers, and complex zeros of functions.
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Handout
Wolfram Research

Wolfram Math World: Real Part

For Students 9th - 10th Standards
This MathWorld site contains a graphical example of the real part of a complex number.
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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.
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Handout
Windstream

Ojk's Precalculus Study Page: Geometric Representation of Complex Numbers

For Students 9th - 10th Standards
An introduction to viewing the complex plane in terms of polar coordinates. Assumes knowledge of the conversion formulas. Includes several examples and pictures.
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Primary
Windstream

Ojk's Precalculus Study Page: Powers of Complex Numbers

For Students 9th - 10th Standards
An introduction to DeMoivre's Theorem for quickly finding the powers of complex numbers. Assumes knowledge of polar form of complex numbers. Includes several examples and pictures.
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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.
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Handout
Math Words

Math words.com: Complex Numbers

For Students 9th - 10th Standards
At MathWords.com, a definition is given for what complex numbers are, along with some examples.
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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
Practice how to represent complex numbers graphically, operations with complex numbers and geometric transformations.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Complejos

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

Imaginary Numbers Are Not Imaginary.

For Students 9th - 10th Standards
This site explores the concept of why imaginary numbers are not imaginary.
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Activity
Other

Sum of Complex Numbers

For Students 9th - 10th Standards
Contains a brief explanation of the addition of complex numbers.
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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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Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Complex Numbers

For Students 9th - 10th Standards
Find a quick, concise explanation of Complex Numbers.