Thursday, June 25, 2015

Operations with Monomials Game - Version 3

If you missed them, here are links to Version 1, Version 2, and the original game, Polynomial Pirates.

Who, What, When, Where, Why?

3-5 Players

Algebra 1 Students

After learning about operations with monomials

Anywhere you want

Because you want your students to practice operations with monomials.

Game Objective:

Be the first player to get rid of all his cards.


  • 70 expression cards.  I wrote the expressions on index cards there were cut in half.  
Here are the 70 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

  • 3 blank dice with these monomials written on each one.  x, 2x, 3x, y, 2y, and 3y

Set Up:

Deal all the cards to the players.  Make sure each player has the same amount of cards, the remaining ones can be set to the side.

Each player places their cards in a pile facedown in front of them and turns over the first three cards.

Place the three dice in the middle of the table.

Game Play:

Roll the three dice.  

Every player tries to create the expressions on their three face-up cards with two of the dice that have been rolled by adding, subtracting, multiplying, or dividing.  

Once a player is able to create an expression, he announces how to do it (add, subtract, multiply or divide the two monomials), places it to the side, then flips over another expression card from his pile.  
Players continue to do this until there are no moves left.  

Re-roll the dice and continue the process.

Example of game play:

Player 1 has the following expressions:

3x/2x gives up 3/2.  Player 1 moves that card to the side and replaces it with another one from his pile.

Player 1 uses 2y-3x to remove the middle card and replace it.
There are no more moves for player 1.

Winning the Game:

The first person to get rid of all his expression cards is the winner.


  1. So how does getting rid of cards compare to crossing the field?

    1. The math is the same. Well, the math is the same in ALL of the versions, but the mechanics are different. In crossing the field, you have to opportunity to 'jump' over other players to get to the other side sooner. With getting rid of cards, there is no shortcut. The only way to get rid of cards faster is that you can get rid of more than two per turn. There is less player interaction with version 3 (getting rid of cards).