**The Challenge: **Today’s math art challenge is to play the chaos game, and was inspired while I was perusing the excellent Power in Numbers by Talithia Williams. Her chapter on Fern Hunt indicated one of her research interests as Chaos Theory – something that always grabs kids attention, and leads to one of the more fascinating probability related math-art creations.*Materials Needed: *randomizer (die, coin, etc.), paper, pencil, possibly graphing software. *Math concepts* *you could explore with this challenge: *fractals, probability, randomness

# Category: Probability

## #MathArtChallenge Day 75: Black Lives Matter

I live in Minneapolis. Today, on May 31st, 2020, things are challenging. People keep asking how they can help. So here are some ways you can help.

- First, please say out loud with me right now, “Black Lives Matter.” Don’t just tweet it, say it out loud where ever you are. Believe it.
- Please do not ask any person of color to do the work for you. That includes putting the onus on them to figure out how you can help.

3. If you are white, talk with your people: your family, your co-workers, your neighbors. It may get uncomfortable, but it is not as uncomfortable as being Black in America. And again, in those spaces, do not put the weight of the work on the people of color. If you hear something along the lines of, “but the protests are so destructive”, point them to the many examples of peaceful protests. Then remind them that peaceful protests have been tried. Colin Kaepernick’s kneel was peaceful. Then, point them to this thread and article which documents many, many, many instances of the police *escalating* and inciting violence.

4. You can donate to help out at these organizations:

- Minneapolis Freedom FundThey have also listed other organizations to donate to here.
- We Love Lake Street

5. And here is an EXCELLENT list of resources to help support the Minneapolis Protests.

6. You can call Mike Freeman, the DA responsible for bringing charges to the police officers. (612) 348-5550

This is a partial and small list. But if you do any #mathartchallenge do this one. I’d love for you to add any additional suggestions in the comments.

Black Lives Matter.

And don’t think that this means we can’t talk the 8 mathematical practices! We sure can.

*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! *

1.) Make sense of problems and persevere in solving them. *How will American society , which is still predominatly white, address the problems of systemic racism? What structural changes can be advocated for so Black Americans live freely and safely in our communities? *

2.) Reason abstractly and quantitatively. *Why are Black Americans proportionally overrepresented in interactions with police? *

3.) Construct viable arguments and critique the reasoning of others. *In the book, Weapons of Math Destruction*,* Cathy O’Neil* *examines the way in which some police departments use algorithms to determine where to send their officers. Study that phenomena and form an opinion as to the merits of those systems. *

4.) Model with mathematics. *How can you help those who may not yet see the disproportionate experiences Black Americans have with the police see that? What data is useful to collect? What is not? How is your data skewed or representative? *

5.) Use appropriate tools strategically. *What methods are available to you to help deconstruct systemic racism? *

6.) Attend to precision. *Avoid speaking in generalities. How is systemic racism present in your life? What can you do about it? *

7.) Look for and make use of structure. *In what ways is our society constructed in unfair ways? In what ways is it fair? What structures exist that you may or may not have yet noticed? *

8.) Look for and express regularity in repeated reasoning. *There have been way too many names. The problem is not something we can ignore. How will you help? *

## #MathArtChallenge Day 66: Venn Diagrams

**The challenge:** Create a complete (all 16 spaces) 4 set venn diagram.

*Materials needed:* Pencil, paper, other??*Math concepts* *you could explore with this challenge: *circles, combinations & permutations, graph theory, probability, vertices/intersections

## #MathArtChallenge Day 63: Super Tic-Tac-Toe

**The challenge:** This is another game (like sprouts). Great to play with a friend, can even be challenging for you to play against yourself! Lots of variety of how you decide who “wins”.

*Materials needed*: paper, pencil/pen*Math concepts* *you could explore with this challenge: *probability

*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! *

1.) Make sense of problems and persevere in solving them. *What strategy will most likely end with you winning? Do you want to start or go second? *

8.) Look for and express regularity in repeated reasoning. *If you play until all boards are filled, what is the expected number of 3 in a row? *

## #MathArtChallenge Day 59: Cellular Automata

**The Challenge:** Using rules from the “above row”, create a new row below.

*Materials needed:* grid (can be home made!) paper, pencil/pen.*Math concepts* *you could explore with this challenge: *Probability, randomness, expected value

## Bonus #MathArtChallenge: Y-Labyrinths

**The Challenge: **Using a hexagonal grid, create a labyrinth using “Y” shapes.

*Materials needed: *hexagonal/isometric grid (you can print from the internet or obtain from a compass), writing utensil, randomizer (die, coin, etc.) *Math Concepts you could explore with this challenge*: 2D, combinations & permutations, counting, isometric, probability, randomness

## #MathArtChallenge Day 35: Probabilistic Plants

**The Challenge**: Today from @ayliean on twitter.

*Materials Needed*: Paper, pencil, something to randomize (die, coin, whatever)*Math concepts* *you could explore with this challenge: *probability, randomness, expected value

I rolled a 6 sided die to determine how many branchings and an 8 sided die (octahedron) to determine the kind of plants on each branch. It was a little loosey-goosey, and my plant is a bit more fantastical than hers, but it was fun! #mathartchallenge

*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! *

1.) Make sense of problems and persevere in solving them. *What is the expected length of each plant…arm? (Branch, they’re called branches, I remember now) *

8.) Look for and express regularity in repeated reasoning. *Under what circumstances is the plant going to continue forever? What conditions make for small plants? What conditions make for huge ones? *

## #MathArtChallenge Day 22: Extending Day 14…

**The Challenge**: Dave Richeson came up with a brilliant extension for Day 14

## #MathArtChallenge Day 14: Hitomezashi stitching (Suggested by Katherine Seaton)

Thanks to Katherine Seaton for sharing this idea!

**The Challenge**: Using grid paper, assign each row/column a 0 or a 1. Then “stitch” both ways. You could assign the 0s and 1s as you prefer, or with a coin, or you could code something in binary!

*Materials Needed*: Grid/dot paper (You can print some or make some without too much trouble), or if you have the stitching materials…*Math concepts* *you could explore with this challenge: *binary numbers, randomness, probability, symmetry

## #MathArtChallenge Day 5: Probability designs!

**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* *you could explore with this challenge: * Probability, probability distributions, randomness