## 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).

## 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.

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

“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

## Math Game: Number Train

Math Concepts: number symbols, numerical order, thinking ahead.
Players: two or more.
Equipment: one math deck of playing cards (remove face cards and jokers), or a double deck for more than four players; additional cards to use as train cars.

### Set-Up

Give each player four to six miscellaneous cards (such as the face cards and jokers you removed from the card deck) to serve as the cars of their number trains.

Lay these cards face down in a horizontal row, as shown. Shuffle the math card deck and spread it on the table as a fishing pond.

### How to Play

On your turn, draw one card and play it face up on one of your train cars. The numbers on your train must increase from left to right, but they do not need to be in consecutive order. If you do not have an appropriate blank place for your card, you have two choices:

• Mix the new card back into the fishing pond.

• Use the new number to replace one of your other cards, and then discard the old one.

The first player to complete a train of numbers that increases from left to right wins the game.

### Variations

House Rule: Decide how strict you will be about the “increases from left to right” rule and repeated numbers. Does “1, 3, 3, 7, 8” count as a valid number train? Or will the player have to keep trying for a card to replace one of the threes?

For older players: You can adapt Number Train to play with more advanced students:

### Deal Alert!

This post is an excerpt from my book Counting & Number Bonds: Math Games for Early Learners, available now at your favorite online book dealer.

One of my favorite stores, Rainbow Resource Center, is offering several of my books at a great discount.

Check them out!

## My Favorite Math Games

Take a break from textbook math and enjoy yourself!

I like to use games as a warm-up with my co-op math classes. Some homeschoolers make every Friday a game day, and some turn gaming into a family lifestyle.

UPDATE: For a limited time, my playful math books for families are on discount through the Math You Can Play Kickstarter — where you can order my newest book, Prealgebra & Geometry: Math Games for Middle School, months before it hits the regular bookstores.

“Playing games with your kids offers a host of educational benefits, plus you build relationships and make memories. I am constantly amazed by the amount of learning that happens when I sit down to play games with my children.”

—Caitlin Fitzpatrick Curley
Gameschool Challenge

### Family Games for All Ages

“Games put children in exactly the right frame of mind for learning difficult things. Children relax when they play — and they concentrate. They don’t mind repeating certain facts or procedures over and over, if repetition is part of the game.”

### Accessible to Young Children

“Coming back from winter break can be hard. Everyone is sleepy, unfocused, and daydreaming of the holiday gifts that await them at home after school. And that’s just the teachers!”

—Andrew Gael
Beat the Back to School Blues…Play a Math Game

### For Elementary Students

“If you play these games and your child learns only that hard mental effort can be fun, you will have taught something invaluable.”

### Middle School to Adult

“Mathematics is mental play, the essence of creative problem solving. This is the truth we need to impart to our children, more important than fractions or decimals or even the times tables. Math is a game, playing with ideas.”

### Your Turn: What Are Your Favorite Games?

They don’t have to be math! Please share in the comment section below!

## New Hundred Chart Game: Jigsaw Gomoku

Counting all the fractional variations, my massive blog post 30+ Things to Do with a Hundred Chart now offers nearly forty ideas for playing around with numbers from preschool to prealgebra.

Here is the newest entry:

(34) The Number Puzzle Game: Rachel created this fun cross between the hundred-chart jigsaw puzzle (#7) and Gomoku (#23). You can download the free 120-board version here or buy the complete set at Teachers Pay Teachers.

CREDITS: Photo by geishaboy500 (CC BY 2.0).

## The Value of Math Games

From Peggy Kaye’s classic book Games for Math:

“Games put children in exactly the right frame of mind for learning difficult things.

“Children relax when they play — and they concentrate. They don’t mind repeating certain facts or procedures over and over, if repetition is part of the game.

“Children throw themselves into playing games the way they never throw themselves into filling out workbook pages.

“The games solidify the achievements of children who are already good at math, and they shore up children who need shoring up. They teach or reinforce many of the skills that a formal curriculum teaches, plus one skill that formal teaching sometimes leaves out — the skill of having fun with math, of thinking hard and enjoying it.

“If you play these games and your child learns only that hard mental effort can be fun, you will have taught something invaluable.”