How Many Will There Be? Chip Off The Block

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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 just counting and making a prediction for step 6 in the pattern.
  2. After revealing the answer (it's 48), students will make a prediction for step 12.
  3. I reveal that step 12 has 168 squares and then challenge students to predict much larger steps. Answers – Step 49: 2,499 – Step 99: 9,999 – Step 999: 999,999

Resources

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