The Challenge: Make two different sizes of origami butterflies and then see what you notice and wonder about your pieces!
Materials Needed: At least two different sizes of square paper. (Can be obtained from non-square paper if you ask nicely.)
Math concepts you could explore with this challenge: angles, proportions/ratio (particularly between length, area, volume)
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 concepts you 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
The Challenge: Draw as many connected triangles as you can. Goal is to have as many vertices with 7 triangles as possible.
Materials Required: Writing surface, writing utensil
Math concepts you could explore with this challenge: angles, counting, exponents, fractals, functions (exponential), triangles, geometry, graph theory, hyperbolic geometry, lines, polygons, sequences, intersections/vertices
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