Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find the endpoint given a midpoint and another endpoint. They use the formula to find a point a weighted distance from an endpoint in the complex plane, and explore the a game of leapfrog on the complex plane.

Concepts

complex numbers, complex plane, distance, distance formula, midpoints, midpoint formula

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Additional Tags

math

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Instructional Ideas

• Compare the process of finding a point a given distance ratio between two complex points to finding a point on a directed line segment

Classroom Considerations

• The class should be familiar with finding distances and midpoint on the complex plane
• Groups will need graph paper to do the exploratory challenges

Pros

• The lesson contains two collaborative exercises in which classmates practice working with midpoints
• The teacher notes suggest some common errors that should be brought up if not already done so by the class

Cons

• None

Common Core

HSN-CN.B.6 MP3 MP4