## Thursday, June 11, 2015

### Operations with Monomials Game - Version 1

I can see so many version of this game, I just need to sit down and make them happen.  So, this morning I did just that (for 1 version at least).  I created a game previously with operations of monomials and you can read about that here.  But that game is complicated and requires a lot a stuff.  The following game will cover the same topic, but is easier to set up.

The inspiration of this game came from Sequence.

If you see this game at a yard sale, buy it.  Not only do you get two decks of cards with it, but there are colorful game pieces and a folding game board.  So, even if you don't like the game itself you can us the components for a different game.  I, however, do like the game, but wish for more player options.

To make this game you will need index cards (cut in half) and color chips for each player.  I play tested this game with 3 players.

The monomials that are used for this game are x, 2x, 3x, y, 2y, and 3y.  I wrote these on the playing cards (index cards) in red.  Make a few sets of these, they will be the cards that they players hold in their hands.

If you add, subtract, multiply, or divide the above monomials you get the expressions that make up the game board.  I wrote out those expressions on some more index cards in black.  To create the game board place them in a 7 x 10 array.  At the bottom of this post is a list of the expressions that I used in the game.

To begin, the dealer shuffles the playing cards (the red ones) and deals 4 to each player and the rest are placed facedown so all players can reach them.  The first player uses two of his cards to create an expression.  He can either add, subtract, multiply, or divide them.  Two cards must be used for each player's turn (not 3, not 1).  The player discards the two cards he used, places one of his color chips on one of the corresponding black cards, and picks up two more red cards.  Play continues around the table.  The first player to get 2 sets of 4 in a row is the winner.  The winning player must use 8 different chips to count as his four in a row.  He cannot use the same chip twice in two rows (Does that make sense to you?)

 Blue is the winner with two sets of 4 in a row.

Here are the expressions that I used:

0, 1, 2, 1/2, 3, 1/3, 3/2, 2/3

x, 2x, 3x, 4x, 5x, 6x, x^2, 2x^2, 3x^2, 4x^2, 6x^2, 9x^2

y, 2y, 3y, 4y, 5y, 6y, y^2, 2y^2, 3y^2, 4y^2, 6y^2, 9y^2

x+y, x+2y, x+3y, 2x+y, 2x+2y, 2x+3y, 3x+y, 3x+2y, 3x+3y

x-y, y-x, x-2y, 2y-x, x-3y, 3y-x, 2x-y, y-2x, 2x-2y, 2y-2x, 3y-2x, 3x-y, 2y-3x, 3x-3y

xy, 2xy, 3xy, 4xy, 6xy, 9xy

x/y, y/x, 2y/x, x/3y, y/2x, 3y/2x, 2x/3y, y/3x, 3x/2y