Object of the Game

To get four squares in a row—vertically, horizontally, or diagonally.

How to Play

1. To begin the game, Player 1 moves a marker (green square) to a number in the factor list of numbers 1-9 along the bottom of the game screen.
2. Player 2 then moves the other marker (green square) to any number in the factor list (including the number marked by Player 1). The product of the two marked numbers is determined, and that product is colored red for Player 2.
3. Player 1 moves either marker to another number, and the new product is colored blue for Player 1.
4. Players take turns moving a marker, and each product is marked red or blue, depending on which player made the product. However, if a product is already colored, the player does not get a square for that turn.
5. Play continues until one player wins, or until all squares have been colored.

Credit

This Product Game Investigation was adapted with permission and guidance from Prime Time: Factors and Multiples, Connected Mathematics Project, G. Lappan, J. Fey, W Fitzgerald, S. Friel and E. Phillips, Dale Seymour Publications (1996), pp. 17‑25.

Questions for Students

• Why did you pick <#> as your first product to play? Is there a better product you could have placed on the board?
• How many moves are your playing offensively vs. defensively? Can you make a move that is both?
• What factor(s) is(are) your favorite, and why?
• What factors give the most play options? Why do you think so?