# ALEX Classroom Resource

## Precalculus and Advanced Topics Module 1, Topic B: Complex Number Operations as Transformations

Classroom Resource Information

Title:

Precalculus and Advanced Topics Module 1, Topic B: Complex Number Operations as Transformations

URL:

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

In Module 1, Topic B, students develop an understanding that when complex numbers are considered points in the Cartesian plane, complex number multiplication has the geometric effect of a rotation followed by dilations in the complex plane.

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Algebra II and Algebra II with Trigonometry Alabama Courses of Study.

Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Algebra II 3 ) (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. [N-CN3] Mathematics MA2015 (2016) Grade: 9-12 Precalculus 1 ) (+) 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. [N-CN4] Mathematics MA2015 (2016) Grade: 9-12 Precalculus 2 ) (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. [N-CN5] Mathematics MA2015 (2016) Grade: 9-12 Algebra II with Trigonometry 3 ) (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. [N-CN3]
Tags: addition, Cartesian plane, complex number, complex plane, conjugate, imaginary number, moduli, multiplication, polar form, quotients, real number, Rectangular form, subtraction
See Terms: https://www.engageny.org/terms-of-use
For full descriptions of license types and a guide to usage, visit :