Note: This is a first foray for the #mathartchallenge into Islamic Geometry. I would be a fool to not take this opportunity to teach you about Samira Mian. Her online courses are fantastic, and her tutorials are great. So are is her instagram!
The Challenge: Construct an 8-pointed star, and possibly tile it?
Materials needed: Straight edge, writing utensils, paper, compass? (There are tutorials for both compass and no compasses below.) Math conceptsyou could explore with this challenge: angles, circles, geometric construction, Islamic geometry, symmetry, tessellations, vertices/intersections
The Challenge: Create an array with materials around your house. What do you notice? What do you wonder?
Materials needed: Go wild. Anything can work here: origami butterflies, shoes, paperclips, cereal, pencils… Math conceptsyou could explore with this challenge: arithmetic (multiplication), counting, proportions/ratios, sequences, symmetry
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