Playful Math Education Carnival 123: Hundred Chart Edition

Do you enjoy math? I hope so!

If not, browsing this post just may change your mind.

Welcome to the 123rd edition of the Playful Math Education Blog Carnival — a smorgasbord of delectable tidbits of mathy fun.

The Playful Math Carnival is like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school. This month’s edition features \left ( 1 + 2 + 3 \right )^{2} = 36 \: articles from bloggers all across the internet.

You’re sure to find something that will delight both you and your child.

By tradition, we start the carnival with a puzzle in honor of our 123rd edition. But if you would like to jump straight to our featured blog posts, click here to see the Table of Contents.

Or more, depending on how you count. And on whether I keep finding things to squeeze in under the looming deadline. But if there are more, then there are certainly 36. Right?

The 1-2-3 Puzzle

Write down any whole number. It can be a single-digit number, or as big as you like.

For example:

Now, count up the number of even digits (including zeros), the number of odd digits, and the total number of digits it contains. Write those numbers down in order, like this:
even 12, odd 5, total 17

Then, string those numbers together to make a new long number, like so:

Perform the same operation on this new number. Count the even digits, odd digits, and total length:
even 1, odd 4, total 5

And do it again:
even 1, odd 2, total 3

If you keep going, will your number always turn into 123?


And now, on to the main attraction: the blog posts. Some articles were submitted by their authors; others were drawn from the immense backlog in my rss reader. If you’d like to skip directly to your area of interest, click one of these links.

This month’s carnival is sponsored by my new book of playful math, 70+ Things To Do with a Hundred Chart: Number, Shape, and Logic Activities from Preschool to Middle School. So along with the blog post links below, I’ll be sharing a few of my favorite hundred chart games and activities. I hope you enjoy them. 🙂

“This book is a treasure trove of amazing math games! I never imagined that so many math concepts could be taught using the hundreds chart.”
—Susie Davis, reader review

Would you like to see YOUR favorite blog post in next month’s carnival? Submissions are always open!

Submit an Entry

Talking Math with Kids

Playing Math on a Hundred Chart: Practice counting and strategic thinking with Rachel Capes’s (@YouveGotThis1) Free Number Puzzle Game to Develop Number Sense (free registration required). This game offers plenty of chances to talk with your child about number patterns and which numbers come before or after another number.

  • Adam Hillman (@witenry) creates colorful art with common objects. His Instagram gallery is a delightful resource to spark mathematical conversations.

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Exploring Elementary Arithmetic

Playing Math on a Hundred Chart: Challenge a friend to a subtraction face-off with Euclid’s Game on a Hundred Chart. For older students: Can you find the connection between this game and the Euclidean Algorithm?

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Adventuring into Algebra and Geometry

Playing Math on a Hundred Chart: Students must spot and describe number patterns with Stuart Kay’s Blank 100 Grid Number Investigations (free registration required). The activity covers odds, evens, multiples, factors, primes, square numbers, cube numbers, triangular numbers, powers of 2 and 3, and other familiar number sequences.

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Scaling the Slopes of High School Math

Playing Math on a Hundred Chart: Examine the mathematics of gerrymandering. Choose two colors and shade in the squares on a hundred chart at random so that forty squares are one color and sixty the other color. Can your students create ten voting districts that will guarantee (1) a proportional representation? (2) A win for the minority color? (3) The greatest possible margin of victory for the majority color?

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Enjoying Recreational Puzzles and Math Art

Playing Math on a Hundred Chart: Dive into one of the classic games of recreational math with Hundred Chart Nim. When mathematicians study a problem, they often try making small changes, just to see what will happen. Encourage your students to alter the rules and make their own Nim games.

  • The Public Math team (About) invites you to share Math Zines with your kids — mini-books about counting, division, and fractal patterns. How cute!

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Teaching with Wisdom and Grace

Playing Math on a Hundred Chart: Joe Schwartz (@JSchwartz10a) details the development of a playful math lesson in “I Like This Game Because You Have to Think Hard.” Grab a blank grid and some colored pencils and have some fun!

  • We teach, yes. But there’s always plenty more to learn, too! Deepen your own understanding of math with Joseph Nebus’s (@Nebusj) ongoing Mathematics A to Z series. Or check out some of the books in Shecky Riemann’s (@SheckyR) Book Mentions.

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Giving Credit Where It’s Due

“123 Iteration Puzzle” from Archimedes Lab via Pat Ballew.
Number Puzzle Game created by Rachel Capes.
Euclid’s Game created by Alexander Bogomolny.
“Blank 100 Grid Number Investigations” by Stuart Kay.
“Gerrymandering Challenge” from the Metric Geometry and Gerrymandering Group via Chris Bolognese.
Number Grid Tic-Tac-Toe game created by Joe Schwartz at Exit 10A blog.

“Girl with bubbles” photo (top) by pan xiaozhen and “Dragon” photo by Tarik Haiga on Unsplash.
“Solving number puzzle” photo by Rachel Capes.
“Dirty numbers” photo by Håkan Dahlström via Flickr (CC BY 2.0).

And that rounds up this edition of the Playful Math Education Blog Carnival. I hope you enjoyed the ride.

The next installment of our carnival will open sometime during the week of January 28–31 at Life Through A Mathematician’s Eyes. If you would like to contribute, please use this handy submission form. Posts must be relevant to students or teachers of preK-12 mathematics. Older posts are welcome, as long as they haven’t been published in recent editions of this carnival.

Past posts and future hosts can be found on our blog carnival information page.

We need more volunteers. Classroom teachers, homeschoolers, unschoolers, or anyone who likes to play around with math (even if the only person you “teach” is yourself) — if you would like to take a turn hosting the Playful Math Education Blog Carnival, please speak up!

howtosolveproblemsWant to help your kids learn math? Claim your free 24-page problem-solving booklet, and sign up to hear about new books, revisions, and sales or other promotions.

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