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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Paul Dawkins

Paul's Online Notes: Complex Numbers: Practice Problems

For Students 9th - 10th Standards
Practice exercise reviews complex numbers including standard form, adding, subtracting, multiplying and dividing them.
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Khan Academy

Khan Academy: Add & Subtract Complex Numbers

For Students 9th - 10th Standards
Practice addition and subtraction with complex numbers.
Lesson Plan
Khan Academy

Khan: Lesson 16: Part 2 Coordinate Geometry; Trigo and Radians; Complex Numbers

For Teachers 9th - 10th Standards
2 OF 2 FOR ADDITIONAL TOPICS IN MATH. Students will use the coordinate plane and equations of lines and circles to describe figures; create the equation of a circle given the figure or use the structure of a given equation to determine a...
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Khan Academy

Khan Academy: Midpoint of Complex Numbers

For Students 9th - 10th Standards
Given two complex numbers (either algebraically or graphically), find their midpoint. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Polar Form of Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for...
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Khan Academy

Khan Academy: Graphically Add and Subtract Complex Numbers

For Students 9th - 10th Standards
Add or subtract complex numbers, and plot the result in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Handout
Clark University

Clark University: Complex Numbers: The Complex Plane

For Students 9th - 10th Standards
A number of different ways to approach complex numbers and operations with them.
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Khan Academy

Khan Academy: Complex Numbers From Absolute Value & Angle

For Students 9th - 10th Standards
Given the absolute value and the angle of a complex number, express the number in the form a+bi. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Distance of Complex Numbers

For Students 9th - 10th Standards
Given two complex numbers (either algebraically or graphically), find their distance. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Classify Complex Numbers

For Students 9th - 10th Standards
Classify numbers as real, pure imaginary, or complex. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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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Khan Academy

Khan Academy: Classify Complex Numbers

For Students 9th - 10th Standards
Classify numbers as real, pure imaginary, or complex.
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Khan Academy

Khan Academy: Angle of Complex Numbers

For Students 9th - 10th Standards
Given a complex number of the form a+bi, find its angle.
Handout
University College London

University College London: Complex Numbers: Real and Imaginary Parts

For Students 9th - 10th Standards
Contains a brief summary about the real and imaginary parts of complex numbers.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Complex Numbers 1

For Students 9th - 10th Standards
Twenty-six problems present a variety of 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...
Activity
Larson Texts

Larson Precalculus: Operations of Complex Numbers in the Complex Plane [Pdf]

For Students 9th - 10th Standards
A 3-page handout with examples and exercises in adding, subtracting, and multiplying complex numbers in the complex plane, as well as finding complex conjugates.
Unit Plan
Khan Academy

Khan Academy: Absolute Value of Complex Numbers

For Students 9th - 10th Standards
Given a complex number in the form a+bi, find its absolute value. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints. HSN.CN.B.4
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.
Activity
Interactive Mathematics

Interactive Mathematics: Products and Quotients of Complex Numbers

For Students 9th - 10th Standards
Complex numbers are multiplied and divided using polar and exponential forms. Several examples are provided to demonstrate the process. Includes practice questions.
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Khan Academy

Khan Academy: Multiply Complex Numbers (Basic)

For Students 9th - 10th Standards
Multiply complex numbers by single terms that are either real or imaginary. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Products and Quotients of Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources for learning about and practicing how to multiply and divide complex numbers.
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Khan Academy

Khan Academy: Multiply Complex Numbers (Basic)

For Students 9th - 10th Standards
Multiply complex numbers by single terms that are either real or pure imaginary.
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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