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Kelly Hagan and Cheng-Yao Lin

The Growing Problem Solvers department this month focuses on probability. Students are given concrete gopher tunnels to think about likely events. As the tunnels get more complicated, students will need to consider compound probabilities. Students at all grade levels can construct their own tunnels and think about how likely different routes are to be traveled.

With the youngest students, it may be prudent to discuss chances as never, not likely, likely, and certain. For older students, you can represent probabilities as percentages or fractions, or even ranges of percentages, such as 0 percent, less than 50 percent, exactly 50

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S. Asli Özgün-Koca and Matt Enlow

In this month's Growing Problem Solvers, we focused on supporting students' understanding of congruence and similarity through rigid motions and transformations. Initial understandings of congruence and similarity begin in first grade as students work with shapes in different perspectives and orientations and reflect on similarities and differences.

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Steve Ingrassia and Molly Rawding

Problems to Ponder provides 28 varied, classroom-ready mathematics problems that span grades PK-12, arranged in order of grade band. Links to the problem answers are available in this department.