The Challenge: Create your own version of Matt Henderson’s triangle incenters.
Materials needed: Paper? Pencil? Origami? Graphing software? (There are lots of options here.)
Math concepts you could explore with this challenge: angles, geometry, polygons, symmetry, vertices/intersections
I decided the easiest way to re-create this was by folding it – as folding angle bisectors is a fairly doable and learnable task.
Depending on how you use this activity, you may engage with different mathematical standards. I’ve listed possible connected math content above. Here are a few suggestions for how you might integrate the 8 mathematical practices. Feel free to add your own suggestions in the comments!
2.) Reason abstractly and quantitatively. What can you say, generally, about the any iteration? What can you say about the relative size of any randomly selected triangle in any particular iteration?
5.) Use appropriate tools strategically. What tools make this most successful for you? Is it better to measure, fold, draw…? Why do your chosen tools work well or poorly.