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.

Click Here for the Score Sheet

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).

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.

Do You Blog About Math?

It’s carnival time again. Activities, games, lessons, hands-on fun — if you’ve written a blog post about math, we’d love to have you join our Playful Math Blog Carnival, coming next week to Find the Factors blog.

Posts must be relevant to students or teachers of school-level mathematics (that is, anything from preschool up through first-year calculus). Old posts are welcome, as long as they haven’t been published in past editions of this carnival.

Click here to submit your blog post

Don’t procrastinate: The deadline for entries is Friday, April 19. But if you wait that long, you’ll forget. So send in your submission today!

Have you noticed a new math blogger on your block that you’d like to introduce to the rest of us? Feel free to submit another blogger’s post in addition to your own. Beginning bloggers are often shy about sharing, but like all of us, they love finding new readers.

Need an Idea-Starter?

If you haven’t written anything about math lately, here are some ideas to get your creative juices flowing…

  • Talking Math with Kids: Children often have surprising insight. Even when they’re confused about math, their point of view can open our adult eyes to new understanding. Share your kids’ stories.
  • Games or Activities: Do you have a game, activity, or anecdote about teaching math to young students? We’d love to play along.
  • Lesson Ideas: This section is for arithmetic explorations, geometry puzzles, trig investigations, contest-preparation tips, and more. Can you make math topics come alive, so they will stick in a student’s mind?
  • Teaching Tips: Other teachers’ blogs are an important factor in my continuing education. The more I read about the theory and practice of teaching math, the more I realize how much I have yet to learn. So please, fellow teachers, don’t be shy — share your insights!
  • Mathematical Recreations: What kind of math do you do, just for fun?

Explore the Other Math Carnivals

While you’re waiting for next week’s carnival, you may enjoy:


CREDITS: “Two Bloggers, after Norman Rockwell” sketch (top) by Mike Licht (CC BY 2.0) via Flickr.

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.

Playful Math Carnival 126 at Math Mama Writes

Check out the new playful math blog carnival at Math Mama Writes blog. Sue put together a great collection of geometry constructions, story problem ideas, teaching tips, and more:

It’s like a free online magazine of mathematical adventures. Enjoy!

Click here to go read the carnival blog

And if you’re a blogger, be sure to submit your blog post for next month’s carnival!

Do You Want More Ways to Play with Math?

Past carnivals are still full of mathy treasure. See them all on Pinterest:


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.

Getting Started with Playful Family Math

One of the most common questions I get from parents who want to help their children enjoy math is, “Where do we start?”

My favorite answer: “Play games!”

Math games meet children each at their own level. The child who sits at the head of the class can solidify skills. The child who lags behind grade level can build fluency and gain confidence.

And (as Peggy Kaye pointed out in her book Games for Math) both will learn something even more important — that hard mental effort can be fun.

Now I’ve put together a short, inexpensive book to help families begin playing with math.

Let’s Play Math Sampler: 10 Family-Favorite Games for Learning Math Through Play contains short excerpts from my most popular books, including a preview of two games from my work-in-progress Prealgebra & Geometry Games.

Don’t miss it: Order your copy today.

Find the Sampler at your favorite online store.

“Denise Gaskins is that sound voice of reason that comes into my head when I get agitated teaching. This isn’t performance — this is play. My kids aren’t on trial, they are learning to learn.”

—Sonya Post

“By exploring math in a playful way, your kids will be happy to learn and will discover an enjoyment of math in the process. You might even have fun, too! ”

—Olisia Yeend


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.

Playful Math Carnival 125 at Singapore Maths Tuition

Check out the latest carnival of playful math for all ages:

Each monthly Playful Math Education Blog Carnival brings you a great new collection of puzzles, math conversations, crafts, teaching tips, and all sorts of mathy fun.

It’s like a free online magazine of mathematical adventures. Enjoy!

William put together this carnival of 10 evergreen links — helpful and inspiring no matter when you read them — featuring chess statistics, a horse riddle, fish that count, and more.

Click Here to Read the Carnival Blog

Want to Join in the Fun?

Do you have a favorite blog post about math activities, games, lessons, or hands-on fun? The Playful Math Blog Carnival would love to feature your article!

We welcome math topics from preschool through the first year of calculus. Old posts are welcome, as long as they haven’t been published in past editions of this carnival.

To submit a blog article for consideration, fill out this form:

Yes! Please Share My Post

Have you noticed a new math blogger on your block that you’d like to introduce to the rest of us? Feel free to submit another blogger’s post in addition to your own. Beginning bloggers are often shy about sharing, but like all of us, they love finding new readers.


CREDITS: Carnival photo (top) by Scott Trento on Unsplash.

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.

Playful Math Carnival 124 at Life Through A Mathematician’s Eyes

Check out the new playful math blog carnival at Life Through A Mathematician’s Eyes blog. Ioana put together a great collection of math games, activities, and teaching tips:

Click here to go read the carnival blog

And if you’re a blogger, be sure to submit your blog post for next month’s carnival!

Do You Want More Ways to Play with Math?

Past carnivals are still full of mathy treasure. See them all on Pinterest:


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.