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
Here’s a quick video tutorial after lots of requests for help in the comments.
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 tools are best for this activity? How might your materials (sharpie vs fine tip pencil) change your level of success?
6.) Attend to precision. Mistakes will happen (6 lines or 8 rather than 7) when creating these. How can you minimize them, and what planning can you implement to minimize them?
7.) Look for and make use of structure. Is there a “best way” to grow this? How is your success altered when you alter the length of the lines?