How Many Will There Be? Squares in Squares

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Objective

Students will use the patterns they find in the first few steps to predict a step much further along.

Inspired by the website Visual Patterns.

Steps

Students predict the number of pieces at step 5.
I reveal the solution (32) and ask students to predict step 12.
After revealing that step 12 has 74 pieces, I challenge students to predict any step. Answers – Step 50: 302 – Step 100: 602 – Step 999: 5,996

Resources

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