The Challenge: This is a modular origami (7 squares) spinning top.
Materials needed: 7 squares of paper. Any paper will do, it doesn’t need to be origami paper. Math conceptsyou could explore with this challenge: angles, geometry, origami, polygons, symmetry, vertices/intersections
The challenge: Create a rainbow and get it reflected in a curved surface to reveal a rectangle. All credit here to Woolly Thoughts! (They have wonderful things for you to play with there.)
Materials needed: I crocheted mine, which was a fun puzzle to get an even rainbow. They have knitting instructions on their website, but you could just as easily draw this with markers. I used tinfoil as my reflective surface wrapped around a nail polish remover bottle. I bet you all get more creative than myself. Math conceptsyou could explore with this challenge: circles, geometry, perspective, proportions/ratios
The Challenge: Build yourself a wobbler. Wobblers are 2 circle (or 2 ellipse!) constructions that have a constant center of mass. Or rather, a center of mass that doesn’t move up and down as the wobbler rolls. Thus, resulting in a satisfyingly continuous “wobble”.
Materials Needed: cardboard, ruler, boxcutter or scissors Math conceptsyou could explore with this challenge: algebra, angles, circles, geometry, proportions/ratios, symmetry, vertices/intersections
Materials needed: Skewers, Tiny rubber bands (I was able to get skewers at the grocery store and polybands from Target) Math conceptsyou could explore with this challenge: Angles, geometric construction, lines, symmetry, topology, vertices/intersections
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 conceptsyou could explore with this challenge: combinations & permutations, counting
The Challenge: Can you find the 4, 5 and 6 crossing knots?
Materials needed: Patience, creativity, paper, pencil, maybe some strips of t shirts and a safety pin? Math conceptsyou could explore with this challenge: Combinatorics & permutations, counting, graph theory, knot theory, topology, vertices/intersections