**The Challenge**: Start by making (or use mine below) a Pascal’s Triangle. Then shade in some sequence of values. I suggest starting with even/odd numbers, and then perhaps multiple of 3, 4 etc.

*Materials Needed*: Pascal’s triangle. You can print one or you can create your own!*Math concepts* *you could explore with this challenge: *algebra, arithmetic, combinations & permutations, counting, functions, proportions/ratios, sequences, symmetry

Spoilers below

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*Depending on how you use this activity, you may engage with different mathematical standards. I’ve listed possible connected math content above. Here are a few suggestions for how you might integrate the 8 mathematical practices. Feel free to add your own suggestions in the comments! *

3.) Construct viable arguments and critique the reasoning of others. *Which sequences make for geometric patterns in Pascal’s triangle? How can you predict the geometricness of the shading? *

4.) Model with mathematics. *What does it do for us to visualize sequences in this way? How can this expand our understanding of algebraic functions? *