How Many Will There Be? Sliced Circles
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Objective
Students will use the patterns they find in the first three steps to predict the 20th step.
Inspired by the website Visual Patterns.
Steps
- Students will note patterns and look for how many slices there will be at step 6.
- After checking the answer (it's 64), we'll extend the pattern and ask students to predict step 20.
- I reveal the answer (1,048,576) and then propose a challenge! What if you split pieces three ways instead of two, tripling the pieces at each step?