The Challenge: Fold 30 identical pieces of paper to put together as an icosahedron.
Materials Needed: 30 square pieces of paper. No problem if it’s not origami paper, you can use regular paper (and you can decorate it if you want!)
Math concepts you could explore with this challenge: Geometry, graph theory, origami, polygons, polyhedra, symmetry, vertices/intersections
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!
6.) Attend to precision. The more precise and symmetric your 30 pieces are, the easier this model will come together.
7.) Look for and make use of structure. What do you notice about the number of edges in each vertex? How about the polygons created by those edges? How can that guide your construction?