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A Midpoint Miracle

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A Midpoint Miracle

This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.

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Distance and Midpoint on a Map

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Distance and Midpoint on a Map

School mapped out on a grid that applies length and slope.

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How Do Skytypers Write Messages?

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How Do Skytypers Write Messages?

Real world application of coordinate geometry.

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MARS Task: Classifying Equations of Parallel and Perpendicular Lines

Geometry
Unit 6: Coordinate Geometry
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MARS Task: Classifying Equations of Parallel and Perpendicular Lines

This lesson unit is intended to help you assess how well students understand the relationship between the slopes of parallel and perpendicular lines and in particular, to help identify students who find it difficult to:
Find, from their equations, lines that are parallel and perpendicular.
Identify and use intercepts.
It also aims to encourage discussion on some common misconceptions about equations of lines.

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MARS Task: Square

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MARS Task: Square

In this task, you are given four points on a graph, and must prove that they are the corners of a square.

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