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:

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

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
License Type: Custom Permission Type
See Terms: https://www.engageny.org/terms-of-use
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityText Resources: Content is organized under headings and subheadings
Comments

There are nine 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