The Challenge: Make you very own flexagon. Inspired today by this from @ayliean. Instructions from her below.
Materials Needed: Strips of paper, cloth, or some other foldable strip.
Math concepts you could explore with this challenge: graph theory, polygons, sequences, symmetry, topology
I made an 8 sided one using this book from Paul Jackson
And wrote about my fabric flexagons here.
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!
1.) Make sense of problems and persevere in solving them. What is the most efficient path through a 6 sided flexagon?
4.) Model with mathematics. How can you explore chirality with this? What kinds of image would let you explore this?
7.) Look for and make use of structure. What folds are needed for your flexagon to be flexible? How about if you make a larger flexagon?
arbitrarilyclose 
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