Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Number:**MAFS.912.N-CN.1

**Title:**Perform arithmetic operations with complex numbers. (Algebra 2 - Additional Cluster)

**Type:**Cluster

**Subject:**Mathematics - Archived

**Grade:**912

**Domain-Subdomain:**Number & Quantity: The Complex Number System

## Related Standards

## Related Access Points

## Access Points

## Related Resources

## Lesson Plans

## Problem-Solving Task

## Tutorials

## Video/Audio/Animation

## Student Resources

## Problem-Solving Task

This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations.

Type: Problem-Solving Task

## Tutorials

This video demonstrates how to multiply complex numbers using distributive property and FOIL method.

Type: Tutorial

This video will demonstrate how to subtract complex numbers.

Type: Tutorial

This video gives an introduction to 'i' and imaginary numbers. From this tutorial, students will learn the rules of imaginary numbers.

Type: Tutorial

## Video/Audio/Animation

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of difference equations.

Type: Video/Audio/Animation

## Parent Resources

## Problem-Solving Task

This resource involves simplifying algebraic expressions that involve complex numbers and various algebraic operations.

Type: Problem-Solving Task