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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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Activity
Other

Sum of Complex Numbers

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

Ojk's Precalculus Study Page: Complex Numbers

For Students 9th - 10th Standards
A brief explanation of complex numbers.
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.
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.
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.
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.
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.
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.
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.