The Challenge: Represent a pattern of permutations
Materials Needed: ??? There are so many options here. I used paint, but you could draw, use yarn, legos… anything.
Math concepts you could explore with this challenge: combinations & permutations, counting
Here is mine, based on the permutations of 12345. See the planning docs below.
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. Once you have finished – how do you know that you’ve accounted for each of the possibilities?
8.) Look for and express regularity in repeated reasoning. Can you create a generalized formula for how many permutations there are for a given number of things?