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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 California

Ucla: Complex Plane

For Students 9th - 10th Standards
This site from UCLA provides great information on the complex plane. The main feature of the site is an applet that illustrates the complex plane. It is a great learning tool in dealing with the features of the complex plane.
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Handout
Wolfram Research

Wolfram Math World: Real Axis

For Students 9th - 10th Standards
This MathWorld site contains a definition and graphical example of the real axis in a complex plane.
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Handout
Wolfram Research

Wolfram Math World: Imaginary Axis

For Students 9th - 10th Standards
Contains a graphical example of the imaginary axis in a complex plane.
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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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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.
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Unknown Type
That Quiz

That Quiz: Puntos

For Students 9th - 10th Standards
This is an interactive practice test to review graphing points on the Cartesian, Polar and Complex plane. Test are timed and keep track of right and wrong answers.
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Graphic
Windstream

Ojk's Precalculus Study Page: Polar Coordinates and Complex Numbers

For Students 9th - 10th Standards
An introduction to basic conversion formulas for polar coordinates and complex numbers. Includes several examples.
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Handout
Windstream

Ojk's Precalculus Study Page: Complex Numbers

For Students 9th - 10th Standards
A brief explanation of complex numbers.
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Handout
University of Toronto (Canada)

The Origin of Complex Numbers and the Notation "I"

For Students 9th - 10th Standards
Contains a brief summary on the origin of complex numbers.
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Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Real Number System

For Students 9th - 10th Standards
Find a quick, concise explanation of real numbers. Examples are given and clearly explained in a diagram that shows the relationship real numbers has to other numbers.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Drexel University Math Forum: Imaginary Numbers

For Students 9th - 10th Standards
Contains a short summary on imaginary numbers and several links to its related fields. Also provides several examples and explanations for understanding.
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Activity
Other

Gobierno De Navarra: Numeros Complejos

For Students 9th - 10th Standards
Use these interactive activities as a supplementary material to practice sum, difference, multiplication and division, power and roots of complex numbers.
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Handout
Friesian School

Friesian.com: Imaginary Numbers

For Students 9th - 10th Standards
This site from Friesian.com contains a detailed definition of imaginary numbers along with a few examples.
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Handout
Math Open Reference

Math Open Reference: Imaginary Number

For Students 9th - 10th Standards
Learn about imaginary numbers with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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Handout
Math Words

Math words.com: Complex Plane

For Students 9th - 10th Standards
Contains the definition and a picture for what a complex plane is.