Celebrating Spring with Playful Math Carnival 172

Playful Math Carnival 172

Welcome to the 172nd edition of the Playful Math Blog Carnival, a buffet of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

The carnival went on hiatus for a couple of months due to unexpected life issues facing our volunteer hosts. But we’re back now, and ready to celebrate!

By tradition, we start the carnival with a puzzle in honor of our 172nd edition. But if you’d rather jump straight to our featured blog posts, click here for the Table of Contents.

Try This: Lazy Caterers and Clock-Binary Numbers

172 is a lazy caterer number: Imaging a caterer who brought a single large pie to serve the whole party. He needs to cut it into as many pieces as he can, using the fewest (straight) cuts he can get away with.

  • If each guest gets one piece of pie, what sizes of parties (numbers of people) can the lazy caterer serve?
  • Can you find a pattern in the lazy caterer sequence?

But for those of you who have followed the carnival for years, you may remember we played with the lazy caterer back in Playful Math 106. (That time, the caterer was serving pizza.) So here’s a bonus activity we’ve never done before…

The first several stages of a pattern are as follows:

Clock Binary pattern image

  • What do you notice about this pattern of shapes?
  • What is the next shape in the sequence?
  • Can you figure out how the shape below fits into the pattern?

Clock Binary puzzle image

This pattern sequence was named clock binary by its creator, noelements-setempty.

  • What questions can you ask about this sequence?
  • How are these shapes like the binary numbers?
  • How are they different?

Click here for all the mathy goodness!

Playful Math Education Carnival 171: Modern Math Artists

Welcome to the 171st edition of the Playful Math Education Blog Carnival — a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

Bookmark this post, so you can take your time browsing over the next week or so.

There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 171st edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Try This Puzzle/Activity

171 is a triangular number, the sum of all the numbers from 1 to 18:

  • 1 + 2 + 3 + … + 17 + 18 = 171.
  • Can you think why a number like this is called “triangular”?
  • What other triangular numbers can you find?

Also, 171 is a palindrome number, with the same digits forward and backward. It’s also a palindrome of powers:

  • 171 = 52 + 112 + 52
  • 171 = 23 + 43 + 33 + 43 + 23

So in honor of our 171st Playful Math Carnival, here is a palindrome puzzle that leads to an unsolved question in math:

  • Does every number turn into a palindrome eventually?

palindrome number activity

Click here for all the mathy goodness!

Carnival 170: A Plethora of Playful Math

Welcome to the 170th edition of the Playful Math Education Carnival — a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

Bookmark this post, so you can take your time browsing.

There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 170th edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Puzzle: Prime Permutations

According to Tanya Khovanova’s Number Gossip, 170 is the smallest composite number where exactly four permutations of its digits make prime numbers.

To find permutations, think of all the different ways you can arrange the digits 1, 7, 0 into three-digit numbers. (When the zero comes first, those permutations actually make two-digit numbers, which DO also count.)

Can you figure out which permutations make prime numbers?

Hint: The permutation that makes the number “170” is not prime, but it is the product of three prime numbers. Which ones?

For Younger Children: The 170 Square

A Latin square is a grid filled with permutations: letters, numbers, or other symbols so that no row or column contains more than one of any character. You’ve probably seen the popular Latin-square puzzle called Sudoku. A Graeco-Latin square (also called an Euler square) is two independent Latin squares overlapping each other.

Can you complete this Euler square made by overlapping permutations of the digits of 170 with winter colors? Don’t repeat the same color OR the same number in any row or column.

Click the picture to get a larger image you can print.

Click here for all the mathy goodness!

Playful Math Carnival 169 via Math Hombre

If you’re into math education — or just curious about how learning math could possibly be fun — you’ll definitely want to check out the latest edition of the Playful Math Carnival.

It’s a collection of awesome blog posts curated by John Golden and published on the Math Hombre website:

The whole point of the carnival is to show that math doesn’t have to be tedious or repetitive. Through a bunch of fun and engaging posts, we celebrate math that’s playful, creative, and totally relevant to everyday life.

Because what could be more relevant that having fun while we learn?

In this edition, you’ll find everything from math puzzles and games to humor and much more — even a spooky monster escape room!

So if you want to mix up your math teaching and make it more enjoyable for your students (and for you!), definitely check out the Playful Math Carnival. Happy reading!

Go Visit the Carnival

Wanted: Hosts for 2024

The Playful Math Carnival is a joint effort. We depend on our volunteer hosts to collect blog posts and write the carnival each month.

Putting together a blog carnival can be a lot of work, but it’s a great opportunity to share the work of bloggers you admire and to discover new math-friends online. I love that part of being a host!

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up.

Check the details on the carnival’s home page, and then leave a comment here or email me directly to let me know which month fits your schedule.

Playful Math Carnival Instructions

 
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“Playful Math Carnival 169 via Math Hombre” copyright © 2023 by Denise Gaskins. Image at the top of the post copyright © Devon Rogers on Unsplash.

Playful Math Carnival 168 via Find the Factors

The Playful Math Education Carnival is a monthly collection of mathy fun: tips, tidbits, games, and activities.

It’s like a free online magazine of mathematical adventures. If you like to learn new things and play around with ideas, you are sure to find something of interest.

Visit the Current Carnival

Iva Sallay’s put together a wonderful collectiom of great mathy activities and games to play with your kids.

You’ll find math projects, puzzles, stories, history, music, origami, and more — soooo much math to enjoy!

Would You Like To Host a Carnival?

The carnival is a joint effort. We need more volunteers.

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up!

Find Out How To Volunteer

As always, you can browse the further-past editions of the Playful Math Carnival by scrolling backward down my blog.

And remember — Don’t miss Iva’s delicious carnival post:

Visit Carnival 168

 
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Thank you for reading!

“Playful Math Carnival 168 via Find the Factors” copyright © 2023 by Denise Gaskins. Image at the top of the post copyright © Iva Sallay.

Playing with Math: A Carnival of Carnivals

The Playful Math Education Carnival (formerly “Math Teachers at Play”) is a monthly collection of mathy fun: tips, tidbits, games, activities, and more.

It’s like a free online magazine of mathematical adventures. If you like to learn new things and play around with ideas, you are sure to find something of interest.

Visit the Current Carnival

Normally, I post a blog about each month’s carnival as it goes live. But this year has been anything but normal!

First there was my daughter’s medical issue, which took up months of my time. Happily, that is resolved and she’s doing well, back to all her normal-life activities.

Then there was the big storm that dropped a tree on our house. (Don’t worry, we’re all fine!) Cleaning up from that has taken months of work and more than a dozen bonfires — and we’re still far from done.

But I have climbed out from under the To-Do list enough to notice my blogging negligence. So without further ado, here are all the carnivals I missed, full of great mathy activities and games to play with your kids…

Playful Math Carnival 163 at 1001 Math Problems

First up, Sian’s delightful collection of math projects, puzzles, and games posted in March. Don’t worry that these may be out-of-date, because playful math is evergreen.

Visit Carnival 163

Playful Math Carnival 164 at Leap of Dave

Dave took over to host April’s carnival, with puzzles, movies, games, and math poetry. Plus a John Conway quote: “Playing games IS mathematics.”

Visit Carnival 164

Playful Math Carnival 165 at Nature Study Australia

Jo put together an especially varied carnival, full of mathy goodness. She writes, “If you have always thought math is about right and wrong, yes and no, be prepared to be stretched and amazed at the fun ways math can be played with!”

Visit Carnival 165

Playful Math Carnival 166 at Math Mama Writes

Sue filled our summer break (or winter, for those down under) with puzzles, games, and more — even a peek at three upcoming math novels. And if you struggle with fractions, don’t miss Henri Picciotto’s Fractions on Grids.

Visit Carnival 166

Playful Math Carnival 167 at Learning Well at Home

Finally, this month’s carnival: Sonya found plenty of mathy goodness to enjoy, including the “seriously addictive” Number Hive game.

Visit Carnival 167

Would You Like To Host a Carnival?

The carnival is a joint effort. We need more volunteers.

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up!

Find Out How To Volunteer

As always, you can browse the further-past editions of the Playful Math Carnival by scrolling backward down my blog.

 
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Thank you for reading!

“Playing with Math: A Carnival of Carnivals,” copyright © 2023 by Denise Gaskins. Image at the top of the post copyright © Casey Horner / Unsplash.

Playful Math Education 162: The Math Games Carnival

Welcome to the 162nd edition of the Playful Math Education Blog Carnival — a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

Bookmark this post, so you can take your time browsing.

There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 162nd edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Try This Puzzle/Activity

The number 162 is a palindromic product:

162 = 3 x 3 x 2 x 3 x 3
and 162 = 9 x 2 x 9

  • How would you define palindromic products?
  • What other numbers can you find that are palindromic products?
  • What do you notice about palindromic products?
  • What questions can you ask?

Make a conjecture about palindromic products. (A conjecture is a statement you think might be true.)

Make another conjecture. How many can you make? Can you think of a way to investigate whether your conjectures are true or false?

Click here for all the mathy goodness!

Playful Math Carnival #161 via Nature Study Australia

If you’re into math education — or just curious about how learning math could possibly be fun — you’ll definitely want to check out the latest edition of the Playful Math Education Blog Carnival. It’s a collection of awesome blog posts curated by Johanna Buijs and published on the Nature Study Australia website:

The whole point of the carnival is to show that math doesn’t have to be tedious or repetitive. Through a bunch of fun and engaging posts, we celebrate math that’s playful, creative, and totally relevant to everyday life. Because what could be more relevant that having fun while we learn?

In this edition, you’ll find everything from creative math art and music to incorporating nature and the outdoors into your lessons — and even a few racing turtles!

So if you want to mix up your math teaching and make it more enjoyable for your students (and for you!), definitely check out the Playful Math Education Blog Carnival. Happy reading!

Go Visit the Carnival

Wanted: Hosts for 2023

The Playful Math Blog Carnival is a joint effort. We depend on our volunteer hosts to collect blog posts and write the carnival each month.

Putting together a blog carnival can be a lot of work, but it’s a great opportunity to share the work of bloggers you admire and to discover new math-friends online. I love that part of being a host!

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up.

Check the details on the carnival’s home page, and then leave a comment here or email me directly to let me know which month fits your schedule.

Playful Math Carnival Instructions

The Colors-of-Fall Carnival: Playful Math #160

Welcome to the 160th edition of the Playful Math Education Blog Carnival — a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

Bookmark this post, so you can take your time browsing.

There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 160th edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Try This Puzzle/Activity

Appropriately for an October carnival, 160 is an evil number.

A number is evil if it has an even number of ones in binary form. Can you find the binary version of 160? (Hint: Exploding Dots.)

160 is also a polyiamond number. If you connect 9 equilateral triangles side-to-side, a complete set of 9-iamond shapes would have 160 pieces.

But sets that large can be overwhelming. Try playing with smaller sets of polyiamonds. Download some triangle-dot graph paper and see how many different polyiamond shapes you can make.

What do you notice? Does it make you wonder?

What designs can you create with your polyiamonds?


Photo by Daiga Ellaby on Unsplash

Click here for all the mathy goodness!

Don’t Miss Playful Math Carnivals #158 and #159!

Here is SOOOOO MUCH GREAT MATH!

Each monthly carnival brings you a new collection of ideas for playing math from preschool to high school. It’s like a free online magazine of mathematical adventures, helpful and inspiring no matter when you read them.

Explore with your kids or on your own:

Alexa Kapor-Mater put together an awesome carnival, with fun facts, activity ideas, puzzles, videos, problem-solving tips, and interesting stuff you should know. Wow!

John Golden found a delightful assortment of playful tidbits from around the internet, fun songs, games, activities, puzzles, math art, and the #Mathober challenge prompts. Love it!

Help Us Keep the Carnival Going

The Playful Math Blog Carnival is a joint effort. We depend on our volunteer hosts to collect blog posts and write the carnival each month.

Putting together a blog carnival can be a lot of work, but it’s a great opportunity to share the work of bloggers you admire and to discover new math-friends online. Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up.

Check the details on the carnival’s home page, and then leave a comment here on the blog or email me directly to let me know when you want to host.

Playful Math Carnival Instructions

CREDITS: Feature photo (top) by Count Chris on Unsplash.com.