The Challenge: If you have a math friend in your life, they’ve probably introduced you to Möbius strips. If you haven’t been introduced, my apologies, on behalf of all math teachers, for having failed you this far. Please, follow instructions below to create and then deconstruct a möbius strip.
Materials Needed: Strips of paper, possibly a zipper (note! If you choose to use a zipper, make sure it is completely detachable. Meaning that the two sides can actually separate. Some zippers are permanently connected at the bottom and will not work for this task.) Math conceptsyou could explore with this challenge: knot theory, sequences, topology.
The Challenge: Fold your very own Hyperbolic Plane from a simple piece of paper!
Materials Needed: A square piece of paper. Youtube instructional video below! Math conceptsyou could explore with this challenge: Algebra (how many folds per stage?), angles, counting, exponents, functions, geometry, Hyperbolic planes, proportions/ratios, sequences, symmetry, topology, vertices/intersections