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 concepts you could explore with this challenge: arithmetic (multiplication), counting, proportions/ratios, sequences, symmetry
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: Use something like a die or a coin to get random outputs. The probabilities don’t need to be equally spread! Assign a design to each output, and then get to designing. I have two examples for you below.
Materials Needed: Honestly, whatever you want. There are endless possibilities on this one. Some examples: paper & pencil (like above and in the video below), yarn (friend ship bracelets or crochet), legos… See the examples of other people’s work below!
Math concepts you could explore with this challenge: Probability, probability distributions, randomness
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 a cube by connecting 3 rhombi (see below). Then use lines parallel to those of the rhombi to embellish the cube.
Materials Needed: writing surface, writing utensil, straight edge, colors
Math concepts you could explore with this challenge: geometric construction, isometric grids, lines, perspective, polygons, polyhedra, topology, vertices/intersections
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