Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.

Concepts

distance, distance formula, midpoint formula, midpoints, formulas, coordinate geometry, coordinate plane, coordinate pair, pythagorean theorem

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Additional Tags

math

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Instructional Ideas

• Schedule whole class check-ins during the work time to have groups share strategies and their progress

Classroom Considerations

• The class should know how to work with the Pythagorean Theorem
• Pupils should be aware of how to find distance between two points on a number line

Pros

• Includes an activity that requires participants to apply the formulas — great practice!
• Contains differentiation suggestions

Cons

• None

Common Core

HSG-GPE.B.4 HSG-GPE.B.6 MP1 MP2 MP5