MAFS.912.N-CN.2.6

Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Number & Quantity: The Complex Number System
Cluster: Level 1: Recall
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
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))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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

Lesson Plan

Life is Complex:

Students will be introduced to the midpoint and distance formulas, both on number lines and in a coordinate plane. Students should have some previous experience with both of these formulas. The lesson allows practice on basic distance and midpoint concepts and progresses through the application of the formulas on a complex plane. Students will draw connections between the basic real number skills and coordinates in the complex plane involving the skills they will acquire during this lesson.

Type: Lesson Plan

Problem-Solving Task

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.

Type: Problem-Solving Task

Student Resources

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

Problem-Solving Task

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.

Type: Problem-Solving Task

Parent Resources

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

Problem-Solving Task

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.

Type: Problem-Solving Task