The Challenge: Throw some random points (or carefully selected ones!) on a plane. Identify the parts of the plane that are closest to each of those points.

Materials Needed: Paper, ruler, writing utensil. Math conceptsyou could explore with this challenge: algebra, arithmetic, geometry, lines, proportions/ratios, slope, tessellations, vertices/intersections.

The Challenge: (Re)create a Sona drawing. I did a couple hours of research yesterday (which is totally insufficient to fully understand it), but what I can tell you is that these drawings originate with the Chokwe people in southwestern Africa, specifically Angola and the southern part of the Democratic Republic of the Congo. The drawings are told in conjunction with a story, and the goal of most is to draw them in as unbroken a line. Please check out some of the resources below, and if you have others to add, I’d love to see them and link them here.

Materials Needed: grid, pencil, paper, perhaps graphing software. Math conceptsyou could explore with this challenge: angles, counting, geometry, graph theory, proportions/ratios, slope, symmetry, vertices/intersections

4 polygons with multiple iterations of midpoints connected inside the shape.

The Challenge: Draw a polygon. Then mark the midpoint of each side. Connect the midpoints of each side to make a new polygon. Repeat. (Don’t sleep on the quadrilaterals here. They do something rather surprising and beautiful!)

Materials Needed: Paper & pencil or online graphing software like Geogebra or Desmos Math conceptsyou could explore with this challenge: angles, fractals, functions, geometry, lines, polygons, proportions/ratios, slope symmetry, vertices/intersections.