Illuminations: The Product Game

# The Product Game

In the Factor Game, students start with a number and find its factors. In the Product Game, students start with factors and multiply to find the product. The two games work well together because they help students to see the relationship between products and factors.

There are four lessons in this unit. Student play the product game in the first lesson. In the second lesson, they make their own game boards. The task of creating a new game is challenging to most students. They learn a lot by experimenting and by making mistakes about what factors and products to include in a game. In the third lesson, students use Venn diagrams to represent the relationships between the factors or products of two numbers. The fourth lesson contains extensions and connections.

### Math Content

Students will:
• review multiplication facts
• develop understanding of factors and multiples and of the relationships between them
• understand that some products are the result of more than one factor pair
• develop strategies for winning the Product Game
• create a new Product Game to play with friend
• use Venn Diagrams to demonstrate relationships between factors and multiples

### Individual Lessons

Lesson 1 - Playing the Product Game

Students learn how to play the Product Game. As they play the game, students develop understanding of factors, multiples, and the relationships between them. Winning strategies are discussed. The Product Game was adapted from Prime Time: Factors and Multiples, part of the Connected Mathematics Project, and was written by G. Lappan, J. Fey, W Fitzgerald, S. Friel and E. Phillips (Dale Seymour Publications, 1996, pp.17-25.)

Lesson 2 - Making Your Own Product Game

Students work in pairs to create their own game boards, a worthwhile challenge. They learn by experimenting and by making mistakes about what factors and products to include in a game.

Lesson 3 - Classifying Numbers

Students use Venn diagrams to represent the relationships between the factors or products of two numbers.

Lesson 4 - Connections and Extensions

Students make connections and expand on what they have learned in the first three lessons. Students explain the effects of different moves on the game board. Finally, students "Guess My Number" using various clues.

### NCTM Resources

 More and Better Mathematics for All Students
 © 2000 National Council of Teachers of Mathematics Use of this Web site constitutes acceptance of the Terms of Use The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students. The views expressed or implied, unless otherwise noted, should not be interpreted as official positions of the Council.