The Challenge: Create a large number of similar right triangles using the technique described in this video from Mark Kaercher. Then play!
Materials Needed: Scissors, paper, ruler?
Math concepts you could explore with this challenge: angles, geometry, lines, polygons, proportions/ratios
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. Some of the nicest patterns (There are so many!) that you can created here are found through matching equivalent side lengths. What do you notice about the proportions of subsequent triangles?
7.) Look for and make use of structure. What about these similar shapes makes it possible to create such aesthetically pleasing shapes?