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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.
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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.] Solve quadratic equations with real coefficients that have complex solutions.
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Unit Plan
Khan Academy

Khan Academy: Simplify Roots of Negative Numbers

For Students 9th - 10th Standards
Rewrite square roots of negative numbers as imaginary numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Interactive
Cool Math

Coolmath: What Are Complex Numbers?

For Students 9th - 10th Standards
Explanation and examples for complex numbers.
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eBook
Math Planet

Math Planet: Algebra 2: Complex Numbers

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to complex numbers.
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eBook
Mathigon

Mathigon: Real, Irrational, Imaginary Numbers

For Students 9th - 10th Standards
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
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Handout
Math Warehouse

Math Warehouse: Complex and Imaginary Numbers

For Students 9th - 10th Standards
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
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Activity
Cool Math

Coolmath: Factoring Complex Numbers Exercises

For Students 6th - 9th Standards
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
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Activity
Cool Math

Coolmath: Complex Numbers in the Quadratic Formula

For Students 6th - 9th Standards
Use this algebra lesson to find out how to use the quadratic formula when you get complex solutions.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Cn, a Rei Complex Square Roots

For Teachers 9th - 10th Standards
Working with complex numbers allows us to solve equations that cannot be solved with real numbers. Here we will investigate complex numbers which arise as square roots of certain complex numbers. Aligns with N-CN.A.2 and A-REI.A.1.
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Handout
Math Open Reference

Math Open Reference: Root (Of a Number)

For Students 9th - 10th Standards
Learn how to find the root of a number. Topics covered include two roots, roots of negative numbers, and imaginary numbers. This site offers descriptions along with multiple examples.
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Unknown Type
Khan Academy

Khan Academy: Parts of Complex Numbers

For Students 9th - 10th Standards
Determine the real and the imaginary parts of complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Multiply Complex Numbers

For Students 9th - 10th Standards
Given two complex numbers, find their product. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
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.
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Unknown Type
Khan Academy

Khan Academy: Divide Complex Numbers

For Students 9th - 10th Standards
Given a complex number division problem, express the result as a complex number of 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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Unknown Type
Khan Academy

Khan Academy: Complex Number Conjugates

For Students 9th - 10th Standards
Given a complex number, find its conjugate or plot it in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Factor Polynomials: Complex Numbers

For Students 9th - 10th Standards
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. 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: Solve Quadratic Equations Complex Solutions

For Students 9th - 10th Standards
Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
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Handout
Lawrence Hall of Science

The Math Page: Skill in Algebra: Skill in Algebra: Complex or Imaginary Numbers

For Students 9th - 10th Standards
Clearly and thoroughly explains complex numbers. Provides example problems and exercises for students, with solutions available.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quadratic Formula and Complex Sums

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...
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Unit Plan
CK-12 Foundation

Ck 12: Find Imaginary Solutions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...