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In this unit of four lessons, students must gather and organize data, then search for patterns involving factors, multiples, and the relation of being relatively prime. Using either the applet supplied here or grid paper, Paper Pool is played with an imaginary ball hit from the lower left-hand corner of a rectangular grid (pool table) at a 45-degree angle. Students investigate the pocket into which the ball falls, the number of hits made as the ball crosses the table, and the number of squares crossed. All three relations change as the lengths of the sides of the pool table are varied.
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