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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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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: De Moivre's Theorem

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Simplify complex numbers raised to a power with DeMoivre's Theorem.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry:complex Roots

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Plot the roots of equations in polar coordinates.
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Activity
Paul Dawkins

Paul's Online Notes: Algebra: Preliminaries

For Students 9th - 10th
Students review concepts that are important to an Algebra class. Topics examined are exponents, polynomials, complex numbers, and radicals. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
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Website
Discovery Education

Discovery Education: Web Math: Algebra

For Students 9th - 10th
This WebMath site provides links to tutorials and lessons in both Algebra I and II. Links to topics such as factoring, solving equations, polynomials, simplifying equations, graphing, and much more.
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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: Imaginary Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students will identify imaginary and complex numbers, basic evaluation of imaginary numbers. Students examine guided notes, review guided practice,...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Powers and Roots of Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] On this site students learn to apply De Moivre's Theorem to solve for powers and roots of complex numbers. Students explore guided notes, watch videos and then...
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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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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Product Theorem

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Multiply two complex numbers.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Quotient Theorem

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Divide two complex numbers.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: De Moivre's Theorem and Nth Roots

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Simplify Nth roots of complex numbers with DeMoivre's Theorem.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Product and Quotient Theorems

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Multiplying and dividing complex numbers in polar form, checking with rectangular form and technology
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Graphic
Stanford University

The Complex Plane (Standford University)

For Students 9th - 10th Standards
Contains both general and detailed information about the complex plane.
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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
Khan Academy

Khan Academy: Powers of Complex Numbers

For Students 9th - 10th Standards
Simplify a power of a complex number z^n, or solve an equation of the form z^n=k. 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.
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Unit Plan
CK-12 Foundation

Ck 12: Quadratic Formula and Complex Sums

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.