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 conceptsyou 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?

Start with a vertex (point, dot, as you like). From that dot, draw 7 lines coming off of it. Connect the ends of each of those lines to make triangles. Every time you have 2 or more lines meet, that’s a new vertex. To get this specific type of design, you want to try to make all vertices have 7 lines (edges), and to always make triangles when you can. There’s a nice (slower!) tutorial in this video: https://www.youtube.com/watch?v=xu-RSUGBgpA

because math is visual and is more art than science. This is about geometry and spatial sense and, proportionality among other things. Math isn’t just about operations my friend. This is a great task!

THATS SPECTACULAR!!!

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Anonymous means an unknown name

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yea anonymous means unknown name

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y

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coob

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k

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Amazing

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okay buddy

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How are we supposed to make this? But it is very fun looking!

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Start with a vertex (point, dot, as you like). From that dot, draw 7 lines coming off of it. Connect the ends of each of those lines to make triangles. Every time you have 2 or more lines meet, that’s a new vertex. To get this specific type of design, you want to try to make all vertices have 7 lines (edges), and to always make triangles when you can. There’s a nice (slower!) tutorial in this video: https://www.youtube.com/watch?v=xu-RSUGBgpA

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Thank you!

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๐๏ธ๐๐๏ธ

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its blocked

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Wha- I’m confused.

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Try watching this video. If you skip to 1:40, he draws it out in real time for you. https://youtu.be/xu-RSUGBgpA

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im really confused what are we supposed to do???

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What are we suppose to do

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??? it wont work at all and i do not know? by ar

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What are we supposed to do?

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Looks cool!

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it looks cool but we have other stuff to do so why would my math teacher post this assignment

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same

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because math is visual and is more art than science. This is about geometry and spatial sense and, proportionality among other things. Math isn’t just about operations my friend. This is a great task!

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Wow

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huh cool

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That looks hard

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Have you tried it? Itโs really fun!

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Look FUN! Kiddos would love the challenge!! EHill

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cap

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??? I’ve been doing mine for while and it hasn’t closed off

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Love it

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thats a good thing. your supposed to do as long as you can.

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Cool

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โฅ๏ธ

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Questions for my students: I wonder if it would be easier to draw 3 triangles around each vertex instead? or 4 triangles around each vertex? 5? 6? 8?

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You do that just with Triangles. Cool

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amazing app

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Awsome

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wow those are cool shapes

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is it just me or does the triangle clump look like Alcatraz island?

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coob

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fun

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i ain’t finished

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