The Challenge: With a compass or with tech like Geogebra or Desmos Geometry, to recreate the Lotfallah Mosque Dome design.
Materials Needed: compass, straight edge, colors. You could also use graphing software for this. Math conceptsyou could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, polygons, proportions/ratios, symmetry, vertices/intersections
The Challenge: Suggested by Clarissa Grandi, to cut out and construct this flowered dodecahedron. Mine below followed by links to instructions. Materials Needed: A set of these papers printed and cut from cardstock. (there are other sized pieces available at the links below. Math conceptsyou could explore with this challenge: geometric construction, geometry, polygons, polyhedra, symmetry, vertices/intersections
And now is a great time to explore some polyhedra if you haven’t yet done so! Here are some websites shared by Mark Kaercher that are great.
The Challenge: Make your very own paper roll polyhedra. All inspired by this tweet from Mr. Allan shared by Clarissa Grandi
Materials Needed: Paper rolls. Can be toilet paper or paper towel rolls or you can make your own! Math conceptsyou could explore with this challenge: angles, geometry, polygons, polyhedra, symmetry, vertices/intersections
The Challenge: Great your very own tessellation from a small piece of cardboard.
Start with a square (Cereal or pop box cardboard works great) Mine was 2”x2”
Cut a piece from one side and tape it to an adjacent side.
Repeat for remaining 2 edges.
Materials Needed: Pencil, paper, and cardboard from a cereal box or a pop box or something similarly thin but stiff enough to trace. Math conceptsyou could explore with this challenge: angles, geometry, polygons, tessellations, vertices/intersections
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.