How Many Will There Be? Earthworm
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 begin by predicting how many pieces there will be at step 5.
- After revealing that step 5 has 36 pieces, I ask students to predict step 12.
- 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