MAFS.912.N-CN.2.5Archived Standard

Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (–1 + √3 i)³ = 8 because (–1 + √3 i) has modulus 2 and argument 120°.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Number & Quantity: The Complex Number System
Cluster: Level 2: Basic Application of Skills & Concepts
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1211300: Trigonometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1298310: Advanced Topics in Mathematics (formerly 129830A) (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))

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Problem-Solving Task

The Mandelbrot Set:

This lesson is designed to develop students' understanding of complex numbers, iterations, and two variable functions by introducing Mandelbrot and Julia sets. This lesson provides links to discussions and activities related to the Mandelbrot set as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Problem-Solving Task

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