How Many Will There Be? Courtyard

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Summary

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

  1. Students begin by looking for patterns and predicting the number of squares at step 5.
  2. I reveal the solution (it's 24) and students work on predicting step 12.
  3. After revealing the solution (it's 52), I reveal an algorithm to predict any step and challenge students to calculate much larger steps. Answers – Step 63: 64 × 4 = 256 – Step 97: 98 × 4 = 392 – Step 821: 822 × 4 = 3288

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