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# Standard #: MAFS.912.N-CN.2.6 (Archived Standard)

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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
Domain-Subdomain: Number & Quantity: The Complex Number System
Date of Last Rating: 02/14
Status: State Board Approved - Archived

#### Related Courses

 Course Number1111 Course Title222 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))

#### Lesson Plan

 Name Description 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.

 Name Description 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.