How Many Will There Be? Earthworm

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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 begin by predicting how many pieces there will be at step 5.
  2. After revealing that step 5 has 36 pieces, I ask students to predict step 12.
  3. I reveal that step 12 has 85 squares and challenge students to predict any step. Answers: Step 49: 344, Step 93: 652, Step 728: 5,097

Resources

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