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Summary
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
- First, students count the squares in each step, search for three patterns, and predict Step 5.
- Next, they use their patterns to predict Step 10.
- Finally, students try to predict Step 100.
- We review the answer and I introduce two extensions: Triangular Numbers and Carl Friedrich Gauss.
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