The Challenge: Build your own Hyperboloid
Materials needed: Skewers, Tiny rubber bands (I was able to get skewers at the grocery store and polybands from Target)
Math concepts you could explore with this challenge: Angles, geometric construction, lines, symmetry, topology, vertices/intersections
This is one of many brilliant things at Makingmathvisible.com/workshops
Directions are here: http://makingmathvisible.com/Hyperboloid/Hyperboloid.html
I’ll definitely be using some of their other stuff, in days to come, but you can play whenever you like!
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!
5.) Use appropriate tools strategically. What kinds of tools could you use to measure your hyperboloid? If you were to compare it to a second hyperboloid, what would you use to compare it?
7.) Look for and make use of structure. When your model is complete, what do you notice about the shape of it? As you turn and adjust it, what types of curvature can you find? How would you describe those curves?