# ALEX Classroom Resource

## Precalculus and Advanced Topics, Module 1, Topic A: A Question of Linearity

Classroom Resource Information

Title:

Precalculus and Advanced Topics, Module 1, Topic A: A Question of Linearity

URL:

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

Module 1, Topic A begins the study of linearity by looking at common misconceptions made by math students.  This study leads to complex solutions which launch the study of products, quotients of complex numbers, and the use of conjugates to find moduli and quotients. The topic ends as students classify real and complex functions that satisfy linearity conditions.

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 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: complex number, complex plane, conjugate, imaginary number, moduli, polar form, quotients, real number, Rectangular form
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