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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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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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Graphic
Other

University of Delaware: Complex Numbers

For Students 9th - 10th Standards
Contains a brief summary of complex numbers related with vectors.
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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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PPT
Syracuse University

Syracuse University: Adding Complex Numbers

For Students 9th - 10th Standards
This site from Syracuse University contains a brief fact of information on the addition of complex numbers. An okay site to check out, but not to in-depth at all.
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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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Unit Plan
Interactive Mathematics

Interactive Mathematics: Complex Numbers

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

Interactive Mathematics: Exponential Form of a Complex Number

For Students 9th - 10th Standards
Several examples are presented to demonstrate how to write complex numbers in exponential for. The demonstrations concludes with a comparison of different forms complex numbers: rectangular, exponential, and polar.
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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
Johan Claeys

Polar Form of Complex Numbers

For Students 9th - 10th Standards
Contains a brief explanation of polar forms of complex numbers.
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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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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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Activity
Interactive Mathematics

Interactive Mathematics: De Moivre's Theorem

For Students 9th - 10th Standards
Using DeMoivre's Theorem, the powers and roots of complex numbers are simplified. Several examples are given, including interactive exercises.