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IMP Year 1 Teacher Guide

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Investigations

Module by: Interactive Mathematics Program

Intent

Investigations contains several rich mathematical explorations that offer students opportunities to employ the tools and techniques they developed in The Importance of Patterns andCommunicating About Mathematics.

Mathematics

The two groups of investigations in Investigations draw on important ideas from number theory and plane geometry. In the first set, students will propose, test, and justify conjectures (and find counterexamples) about sums of whole numbers. They will be introduced to some formal notation for expressing conjectures and will continue to explore the notions of existence and uniqueness of solutions. In the second set of activities, students will apply their developing skill at using In-Out tables to find patterns in the relationship between the sides and angle measures of polygons.