LEARN NC

K–12 teaching and learning · from the UNC School of Education

Making your own product game

http://illuminations.nctm.org/LessonDetail.aspx?ID=L273

A lesson plan for Grades 3–8 Mathematics

Provider: National Council of Teachers of Mathematics

About this resource

Appropriate grades
3–8
Subjects
mathematics (applied mathematics, number sense, number theory)
Provider
National Council of Teachers of Mathematics

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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 1.01: Develop number sense for whole numbers through 9,999.
      • Connect model, number word, and number using a variety of representations.
      • Build understanding of place value (ones through thousands).
      • Compare and order.
    • 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 1.04: Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division.
    • Objective 1.05: Use area or region models and set models of fractions to explore part-whole relationships.
      • Represent fractions concretely and symbolically (halves, fourths, thirds, sixths, eighths).
      • Compare and order fractions (halves, fourths, thirds, sixths, eighths) using models and benchmark numbers (zero, one-half, one); describe comparisons.
      • Model and describe common equivalents, especially relationships among halves, fourths, and eighths, and thirds and sixths.
      • Understand that the fractional relationships that occur between zero and one also occur between every two consecutive whole numbers.
      • Understand and use mixed numbers and their equivalent fraction forms.
    • Objective 1.06: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Grade 4

  • Goal 1: Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.
    • Objective 1.01: Develop number sense for rational numbers 0.01 through 99,999.
      • Connect model, number word, and number using a variety of representations.
      • Build understanding of place value (hundredths through ten thousands).
      • Compare and order rational numbers.
      • Make estimates of rational numbers in appropriate situations.
    • 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 1.03: Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.
    • Objective 1.04: Develop fluency with addition and subtraction of non-negative rational numbers with like denominators, including decimal fractions through hundredths.
      • Develop and analyze strategies for adding and subtracting numbers.
      • Estimate sums and differences.
      • Judge the reasonableness of solutions.
    • Objective 1.05: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Grade 5

  • Goal 1: Number and Operations - The learner will understand and compute with non-negative rational numbers.
    • Objective 1.01: Develop number sense for rational numbers 0.001 through 999,999.
      • Connect model, number word, and number using a variety of representations.
      • Build understanding of place value (thousandths through hundred thousands).
      • Compare and order rational numbers.
      • Make estimates of rational numbers in appropriate situations.
    • Objective 1.02: Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers).
      • Develop and analyze strategies for adding and subtracting numbers.
      • Estimate sums and differences.
      • 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.

Grade 6

  • Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
    • Objective 1.01: Develop number sense for negative rational numbers.
      • Connect the model, number word, and number using a variety of representations, including the number line.
      • Compare and order.
      • Make estimates in appropriate situations.
    • 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 1.07: 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.

Grade 8

  • Goal 1: Number and Operations -The learner will understand and compute with real numbers.
    • Objective 1.01: Develop number sense for the real numbers.
      • Define and use irrational numbers.
      • Compare and order.
      • Use estimates of irrational numbers in appropriate situations.
    • Objective 1.02: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.