#MathArtChallenge Day 32: Megan’s Spirals

A spiral created by connecting sequence values on a spiral chart of 1089 numbers.

The Challenge: Color a spiral of numbers. Or 3. Or fifty. (This one gets quite addictive.)

Materials Needed: A spiral chart. Two pdf versions are shown below.
Math concepts you could explore with this challenge: algebra, arithmetic, counting, functions, lines, sequences, symmetry

100 spiral chart

1089 spiral chart

It’s also very easy to make your own spiral chart:

There are a ton of great links and examples and instructions over at Megan’s blog: https://mathybeagle.com/?s=spiral

AND many other spiral options in this excel sheet she put together. https://docs.google.com/spreadsheets/d/1kkWgXkAU2VhmMvbCBlZoCdGmJb5c8Id3fead-ALT0M4/edit#gid=352245601

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!

3.) Construct viable arguments and critique the reasoning of others. Create the Ulam spiral – shade in all the prime numbers. WHY do those lines appear?!?

8.) Look for and express regularity in repeated reasoning. Make a number of different spirals based on arithmetic sequences and geometric sequences. What do you notice about the different appearances?

Author: Ms. P

Math Teacher in Minneapolis, MN.

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