## Playful Math Education Carnival 130

Play. Learn. Enjoy!

Welcome to the 130th edition of the Playful Math Education Blog Carnival, a feast 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. It’s back-to-school time in the U.S., so this month’s edition focuses on establishing a creative math mindset from preschool to high school.

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 130th edition. But if you would like to jump straight to our featured blog posts, use our handy Table of Contents.

## Updated Geometric Coloring Designs (Free)

I created these coloring pages for my homeschool co-op math kids, and then collected them into a downloadable 42-page PDF coloring book for your family to enjoy.

The booklet includes several ready-to-color designs, a wide assortment of graph paper, advanced create-your-own tessellation pages, and links to all sorts of online math art resources.

But when I posted the link to Twitter, a friend noticed that several of the resource links were broken. (Thanks, Mark!)

While I was fixing those, I added some new links (to the wonderful School of Islamic Geometric Design pattern templates and classroom resources).

So even if you’ve downloaded the file before, you may want to pick up this new-and-improved edition.

## New Book: Ying and the Magic Turtle

That’s the power of living books.

And there’s a new one coming soon, from the wonderful people at Natural Math.

“Long ago in the land of China, there were many rain storms … and the land of China was slowly sinking into the sea. This is the story of how a wise emperor, an observant girl, and a magic turtle saved the villages of China from the great flood.”

So begins the story of Ying and the Magic Turtle.

Children, parents, and teachers can enjoy the book for its rich beauty in mathematics and as an ancient legend.

We can play with the mathematics, too, solving the puzzle of the turtle’s shell right alongside Ying.

And we can delve deeper into the power of magic squares by working with puzzles presented at the end of the story.

### Join the Crowdfunding Campaign

For more details about Ying and the Magic Turtle, including a peek at the delightful illustrations, check out the Kickstarter crowdfunding page:

Donate to support the ongoing adventure of playful math for children!

## 10 Family-Favorite Games for Learning Math Through Play

Oops! I can’t believe I forgot to post these links when my latest book came out way back in March. Indie author fail…

Do you want your children to enjoy learning math?

Teach them how to play!

In excerpts from five of my most popular books, the Let’s Play Math Sampler features ten kid-tested games covering math concepts from counting to prealgebra.

Pick up a copy of the Let’s Play Math Sampler today, and make math a playful family adventure.

and other online retailers, or order the paperback by special request at your favorite local bookshop.

…And now I just need to go back and update my original pre-order post, so everyone can find the book no matter which blog they happen to read…

“Laughing Girl” photo (top) by ND Strupler via Flickr (CC BY 2.0).

## 8 Weeks of Playful Math for Families

Yes, your kids CAN learn to love math. Keep your children’s math skills fresh with my 8-week email series of math games and activities.

No purchase necessary! Just sign up for my email newsletter, and every week for the next two months you’ll automatically receive one of my favorite math club activities or an excerpt from my series of math game books.

Plus you’ll get a free download of my 24-page booklet How To Solve Math Problems: A Common-Sense Approach. And I’ll send you occasional news updates with playful math tips, resource links, and book sales or other promotions.

Don’t like email? Then check out my new Let’s Play Math Sampler: 10 Family-Favorite Games for Learning Math Through Play. For the price of a cup of coffee Now FREE for the duration of the pandemic crisis, it’s a great way to get started with playful math.

Or grab them both: There’s very little overlap between the free email series and the Sampler book. So try them both and discover more than a dozen ways to play math with your kids!

PHOTO CREDITS: “The smiling sisters” photo by Caroline Hernandez and “Puddle Jumping” by Rupert Britton via Unsplash.com.

## Math Game: Six Hundred

Today I’m working on the next book in my Math You Can Play series, culling the games that don’t fit. Six Hundred is a fine game, but I can’t figure out how it landed in the prealgebra manuscript…

Math Concepts: addition, multiplication, parity (odd or even).
Players: any number.
Equipment: six regular 6-sided dice (my math club kids love this set), free printable score sheet, pen or pencil.

### Set-Up

A full game consists of eighteen rounds of play. Players may share the dice and score sheet, taking turns around the table. But for a large group you may want to have extras, so that two or more people can be rolling their dice at the same time.

### How to Play

On your turn, roll all six dice up to three times. After each roll, you may set aside one or more dice to keep for scoring, if you wish. Once a die has been set aside, you may not change your mind and roll it again.

After the third roll, choose an unused category on your score sheet. Count the dice according to the rules for that section, and write down your score. If your dice do not fit anywhere, then you must take a zero in the category of your choice.

When all players have filled their score sheet and recorded any appropriate bonuses (or penalties), whoever has the highest score wins.

### Scoring

Dice are scored in eighteen categories, in four sections, as follows. The maximum possible score is 600 points.

##### Numbers

Record the sum of only the dice showing that number. For example, if you rolled 1, 1, 3, 4, 4, 4, you could score 2 in the Ones category. Or you could score 12 in the Fours category, or zero in the Fives.

Bonus: If the combined Numbers score is 80 or more, add 35 points to your total.

##### Rungs (1–4)

Score the total of all six dice. Like a ladder, the score in each rung must be greater than the one before it. Rung 1 gets the lowest number, and Rung 4 the highest.

You may fill in the rungs in any order. But if you write 18 in Rung 2, then the score in Rung 1 must be 17 or less, and the score in Rung 3 must be at least 19.

Penalty: If the Rung scores don’t fit the ascending value rule, this category is worth zero.

##### Clusters

Score the total of all six dice, if they fit the rules for that category.

• Four of a Kind: at least four dice show the same number.
• Five of a Kind: at least five dice show the same number.
• Odds: all six dice show odd numbers.
• Evens: all six dice show even numbers.
##### Patterns

Score the amount shown for each pattern.

• Series: 30 points you roll 1, 2, 3, 4, 5, 6.
• Pairs: 30 points if you roll three pairs of matching numbers. Four dice showing the same number may be counted as two pairs.
• Triplets: 30 points if you roll two sets of three dice with the same numbers, such as three 2s and three 5s.
• Sextet: 36 points when all six dice show the same number.
##### Game Bonus

If you score at least one point in all eighteen categories, or if the only zero you take is for the sextet, then award yourself an additional 36 points.

### History

Players around the world have played poker-style dice games for ages. I grew up with Yahtzee, but you may know the game by Yatzy, Yacht, Generala, or another name.

Reiner Knizia included this mathematical version in his book Dice Games Properly Explained. And I found it online at Michael Ayers’s Stick Insect blog.

John Golden posted a simpler “Mathzee” game played with five dice on his Math Hombre blog — and while you’re there, be sure to check out his amazing Math Games page.

CREDITS: Feature photo (top) by rekre89 via Flickr (CC BY 2.0).