Making your own product game
http://illuminations.nctm.org/LessonDetail.aspx?ID=L273
A lesson plan for grades 3–4 and 6–7 Mathematics
Students work in pairs to create their own game boards and learn by experimenting and making mistakes about what factors and products to include in a game. After reviewing strategies for playing the game, students create their own game boards and practice playing the game. Illuminations provides the Product Game applet, helpful handouts and detailed instructions for completing the game.
Students will:
- Understand that some products are the result of more than one factor pair.
- Create a new Product Game to play with friend.
NCTM Standards and Expectations:
- Use factors, multiples, prime factorization, and relatively prime numbers to solve problems.
- Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.
- Develop and use strategies to estimate the results of rational-number computations and judge the reasonableness of the results.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 3
- Goal 1: Number and Operations - The learner will model, identify, and compute with whole numbers through 9,999.
- Objective 1.03: Develop fluency with multiplication from 1x1 to 12x12 and division up to two-digit by one-digit numbers using:
- Strategies for multiplying and dividing numbers.
- Estimation of products and quotients in appropriate situations.
- Relationships between operations.
- Objective 1.03: Develop fluency with multiplication from 1x1 to 12x12 and division up to two-digit by one-digit numbers using:
Grade 4
- Goal 1: Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.
- Objective 1.02: Develop fluency with multiplication and division:
- Two-digit by two-digit multiplication (larger numbers with calculator).
- Up to three-digit by two-digit division (larger numbers with calculator).
- Strategies for multiplying and dividing numbers.
- Estimation of products and quotients in appropriate situations.
- Relationships between operations.
- Objective 1.02: Develop fluency with multiplication and division:
Grade 6
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.04: Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.
- Analyze computational strategies.
- Describe the effect of operations on size.
- Estimate the results of computations.
- Judge the reasonableness of solutions.
- Objective 1.05: Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
- Objective 1.04: Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.
Grade 7
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of rational numbers.
- Analyze computational strategies.
- Describe the effect of operations on size.
- Estimate the results of computations.
- Judge the reasonableness of solutions.
- Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of rational numbers.


