How Many Will There Be? Checkerboard

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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

  1. Students predict the number of squares at step 5.
  2. I reveal the answer (it's 29) and then ask them to predict step 12.
  3. After confirming that step 12 has 64 squares, I ask students to predict any step! Answers – Step 47: 239 – Step 111: 559 – Step 998: 4994

Resources

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