The Product Game: Connections and extensions
http://illuminations.nctm.org/LessonDetail.aspx?ID=L275
A lesson plan for Grades 6–7 Mathematics
In this lesson, students make connections and expand on what they learned in previous lessons. Then, they explain the effects of different moves on the game board. Illuminations provides links to the three prior lessons, an activity sheet, and detailed instructions for completing the lesson. After students have already played the game, they evaluate the moves they made and determine new strategies.
Students will:
- Make connections and expand on what they have learned.
- Use clues to “Guess My Number”.
NCTM Standards and Expectations:
- 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.
- Use factors, multiples, prime factorization, and relatively prime numbers to solve problems.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 6
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.03: Compare and order rational numbers.
- Objective 1.05: Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
- Objective 1.07: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
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 1.03: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
- Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of rational numbers.



