Addition Games: Doubles - Doubles +1 - Doubles +2 - Bonds to 10 & 20

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Addition Games: Cats and Dogs is a printable game for learning addition facts. It is an abstract strategy game thought to have originated in Northern Europe. In this version of the game, a sly elderly cat is trying to outsmart three playful puppies. It is ideal for Math Centers, Individual Learning Plans and much, much more.

*** A VIDEO GAME *** I have created a video game version of this game. It works really well on Smartboard, PCs and Laptops.

This YOUTUBE VIDEO outlines how to play this Addition game --->
Teach Me to Play!

Included in this Addition Games Download:

- 7 High Color Printable Boards for Doubles, Doubles +1, Doubles +2, Facts to 10 & Facts to 20.
- 7 Low Color Color Printable Boards for Doubles, Doubles +1, Doubles +2, Facts to 10 & Facts to 20.
- 1 PowerPoint File ready to display and discuss each color board.
- 1 Video Game for PC and Smartboard

What You Need:

2 players
1 Cats and Dogs board game
1 counter to be the cat
3 counters to be the dogs

How to Play:

1. The student with the longest hair is Player One.
2. Player One reads and answers each algorithm aloud on the dogs' side of the board. They then place their counters on the ellipses as shown.
3. Player Two reads and answers the algorithm where the cat is on the board above or below then places their counter over it ready to start the game.
4. The dogs make the first move by sliding one of their counters along the lines of the game board. Both cats and dogs can only move one space on each move. Dogs may NOT move backwards.
5. Player Two then makes a move. The cat can move one space in any direction along the lines of the game board.
6. Players take turns moving their counters using these rules.

NB there is no capturing of pieces and no jumping over the opponent

How to Win:

- If the cat makes it passed the three dogs or reaches the other end of the board then they are declared the winner.

- If the dogs trap the cat so it has no legal moves available then the dogs win.

Stalling Rule If a dog repeatedly moves vertically it is considered 'stalling' & results in a win for the cat - not a draw. Traditionally this has to happen 10 times but in my classroom it is 3 times. This keeps the game moving.

7. Swap roles for the next game.


- The cat begins the game on the ellipse shown.
- The cat can place their counter on any empty position on the board.
- Cat goes first.

Before the Game Possibilities:

- Ensure students have a good understanding of what 'equals' really means.
- Quick pre-game quiz question. 'What does "equals" really mean?' Think Pair Share Answers.
- Equals means 'the same as'. 5+6=11 really means 5 put with 6 is 'the same as' 11. - So... 11=5+6 really means 11 is the same as 5 put with 6. This is an important mathematical concept. Explore examples.
- Explore and reinforce the need for using efficient mental strategies when playing the game. - Explore the strategies that will help the students do well and this game and keep it flowing.

During the Game:

- Encourage students to plan a move ahead and to anticipate their opponents move. 'I she does that then I will...' 'If I go here then they will go...'
- Encourage children to predict the options their opponent has and what moves they may choose to make.
- Ensure students continue to say the algorithms and their answers aloud throughout the game.

Possibilities for After the Game:

- What do you feel you still need to work on after playing this game?
- Games like this are designed to 'balance out' by giving each player a different set of rules to move by. In this game the puppies cannot go backwards plus there are three of them. There is only one cat but it can move backwards. Do you think this game is balanced or does one player have an advantage? Explain your answer.
- Mathematicians believe with 'perfect play' the game will always result in a win for the puppies. Explain how you think they would have figured this out?.

Possible Extensions:

- Investigate the origins of the game.
- Argue For or Against - 'Chase and Capture' board games such as this one have gone by many names over the centuries. The British called it a 'Fox and Hound' or 'Fox and Hare' and as part of the game the hare ends up 'dead'. In Napoleonic Times soldiers enjoyed playing this type of game. To them it was known as 'The Soldiers' Game' or 'The French Military Game'. In their version, 3 soldiers chased an escaped prisoner or spy and things did not end well for the 'chasee' when captured.

- In this classroom version, the game's author has chosen to have 3 playful puppies chase a wise elderly cat and no blood is spilled. Write a brief argument, either for or against, the author taking the 'inferred violence' out of the game.

- Create your own chase and capture game using computer software of your choosing. Play your game with friends.
- Teach another class in your school how to play 'Cats and Dogs'
- A famous mathematician once stated this 'chase and capture game' "combines extreme simplicity with extraordinary strategic subtlety". What could this mean?

Possible Gifted and Talented Extension:

- Combinational Game Theory is a new branch of Mathematics you might like to check out simply because it is interesting. What is it and how does it work?


Adrian Bruce

Please Note: This game is included in my MEGA BUNDLE! - The package includedsALL the Math and Literacy games currently in my store PLUS every resource I create for the next YEAR for FREE!!! It's like a great classroom resource that just keeps on giving. :-)
CLICK HERE to see the Mother Load :-)
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Lifelong Tool

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Addition Games: Doubles - Doubles +1 - Doubles +2 - Bonds
Addition Games: Doubles - Doubles +1 - Doubles +2 - Bonds
Addition Games: Doubles - Doubles +1 - Doubles +2 - Bonds
Addition Games: Doubles - Doubles +1 - Doubles +2 - Bonds
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