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:

https://www.engageny.org/resource/precalculus-and-advanced-topics-module-1-topic-a-overview

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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Comments

There are eight lessons on this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. 

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.

  This resource provided by:  
Author: Hannah Bradley