# Standard 2: Represent and perform operations with expressions within the complex number system.

General Information
Number: MA.912.NSO.2
Title: Represent and perform operations with expressions within the complex number system.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Strand: Number Sense and Operations

## Related Benchmarks

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Access Points

MA.912.NSO.2.AP.1
Extend previous understanding of the real number system to include the complex number system. Add and subtract complex numbers.
MA.912.NSO.2.AP.2
Represent addition and subtraction of complex numbers geometrically on the complex plane.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

## Lesson Plan

Can You Hear Me Now? Using Cell Phone Signals to Divide Complex Numbers:

Students always ask, “What’s the point of complex numbers?” One application of complex numbers is cell phone signals and their wavelengths. This lesson introduces division of complex numbers by hooking students in with the topic of cell phones. Students will attempt to calculate a cell phone signal wavelength involving complex numbers and discover the use of complex conjugates. Then, students will practice with complex number division using a pairing strategy. To conclude, students will use white boards and dry erase markers to review the concepts covered in class.

Type: Lesson Plan

Computations with Complex Numbers:

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

Complex Distance:

This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Computations with Complex Numbers:

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

Complex Distance:

This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively.

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.