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# Operations with Complex Numbers in Polar Form Scavenger Hunt

Common Core Standards
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I use relays to review a lot of different subjects in my classes. This one reviews operations with complex numbers in polar form. The operations include multiplying, dividing, raising to a power, and taking roots of complex polar expressions. The answers must then be converted to rectangular form. No calculators are needed – all answers are special angles.

Students have fun with Scavenger Hunts. They try hard to find the correct answer so their team can finish first!

It includes instructions of how to use the Scavenger Hunt, a worksheet that students can use to record their answers, and a homework worksheet that reviews the same subject.

For PowerPoint lessons to teach these topics, try:
Powers of Complex Numbers
Products & Quotients of Complex Numbers
Roots of Complex Numbers

If you want more fun ways to review important topics, try these:
Scavenger Hunts
Fun PowerPoint Reviews
Relays
Tic Tac Toes
Partner Problems
Bingos

Common Core Standards:
Represent complex numbers and their operations on the complex plane.
N-CN 4. (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

California Common Core Standard:
F-IF 11. … Convert between polar and rectangular coordinate systems.

Previous California Standard for Trigonometry:
17.0 Students are familiar with complex numbers. They can represent a complex number in polar form and know how to multiply complex numbers in their polar form.
18.0 Students know DeMoivre’s theorem and can give nth roots of a complex number given in polar form.

Previous California Standards for Math Analysis:
1.0 Students are familiar with, and can apply, polar coordinates and vectors in the plane. In particular, they can translate between polar and rectangular coordinates and can interpret polar coordinates and vectors graphically.
2.0 Students are adept at the arithmetic of complex numbers. They can use the trigonometric form of complex numbers and understand that a function of a complex variable can be viewed as a function of two real variables. They know the proof of DeMoivre’s theorem.

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