How Many Will There Be? Crosses

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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

Students predict how many squares there will be at step 5.
I reveal the solution (it's 29) and ask students to predict step 12.
After showing the answer (it's 64), I challenge students to predict any step! Answers – Step 50: 453 – Step 101: 912 – Step 999: 8,994

Resources

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