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: *Probability, randomness

Huge thanks to Emily Lynch Victory for the inspiration for this challenge. She’s a fantastic mathematical artist that I met a few years ago at a math teacher conference, who had a piece like (but far superior!) to my first one below.

Example 1: Roll a die, design a grid!

I assigned a design to each of the 6 outputs of a regular die, and then rolled the die to figure out how I should color in a 6×6 grid.

Example 2: Crochet!

Here I flipped 2 coins and assigned each of the permutations a type of crochet stitch. I made each row 10 stitches long, and switched stitches each row. In the end, I made it into a mÃ¶bius strip, because that’s just cooler.

HH: single crochet

HT: half double rochet

TH: double crochet

TT: Triple crochet

Great example here from Joel Bezaire

*Depending on how you use this activity, you may engage with different standards. 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. *Once you’ve finished a piece, what do you notice about the distribution of values? How does that compare with the relative size of your piece? *

5.) Use appropriate tools strategically. *What methods make it easiest to explore the probability of values? What are the benefits or drawbacks of using a square grid? Would a 3D model make the chosen values easier or less easy to see? *

8.) Look for and express regularity in repeated reasoning *When completing with a class, what patterns do you see as you look over all the designs created by the class? How does the distribution of number change?*