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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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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
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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Activity
Texas Instruments

Texas Instruments: Powers and Roots of Complex Numbers

For Teachers 9th - 10th Standards
Complex numbers can be represented graphically using parametric equations. The roots of complex numbers, including the roots of unity, can be represented graphically using De Moivre's theorem and parametric equations.
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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: De Los Numeros Naturales a Los Complejos

For Students 9th - 10th Standards
This interactive unit will expand your knowledge from natural to complex numbers. Learn how to express a complex number in polar form, move from rectangular form to polar form and vice versa, operate with complex in polar form and...
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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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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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Unknown Type
McGraw Hill

Glencoe Mathematics: Quiz on Powers and Roots of Complex Numbers

For Students 9th - 10th Standards
The online assessment exhibits knowledge of advanced mathematical concepts in Trigonometry. The questions evaluate students on powers and roots of complex numbers.
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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.
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Activity
Discovery Education

Discovery Education: Web Math: Adding Complex Numbers

For Students 9th - 10th Standards
WebMath contains a program that calculates the addition of complex numbers by inputting the problem.
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Activity
Discovery Education

Discovery Education: Web Math: Multiplying Complex Numbers

For Students 9th - 10th Standards
WebMath contains a program that calculates the multiplication of two or more complex numbers by inputting the problem.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Complex Numbers 2

For Students 9th - 10th Standards
Fifteen problems present more practice working with complex numbers. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Products and Quotients of Complex Numbers

For Students 10th - 12th Standards
[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...
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Activity
Texas Instruments

Texas Instruments: Powers and Roots of Complex Numbers

For Teachers 9th - 10th Standards
In this TI InterActive! activity, students explore the graphical and numerical representations of the powers of a complex number.
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Activity
Discovery Education

Discovery Education: Web Math: Subtracting Complex Numbers

For Students 9th - 10th Standards
WebMath offers a program that explains and calculates the subtraction of complex numbers.
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Handout
Math Medics

S.o.s. Math: Factoring Over the Complex Numbers

For Students 9th - 10th Standards
S.O.S. Math provides information, including examples, on factoring over the complex numbers.
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Handout
Johan Claeys

Math Abundance: A Representation of a Complex Number

For Students 10th - 12th Standards
Includes a short summary on the representation of a complex number.
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Unit Plan
Khan Academy

Khan Academy: Multiply & Divide Complex Numbers in Polar Form

For Students 10th - 12th Standards
Given two complex numbers in polar form, find their product or quotient. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unit Plan
CK-12 Foundation

Ck 12: Imaginary Numbers

For Students 9th - 10th Standards
[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.