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

Classifying numbers

http://illuminations.nctm.org/LessonDetail.aspx?ID=L274

A lesson plan for grades 6–8 Mathematics

Provider: National Council of Teachers of Mathematics


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Students use Venn diagrams to represent the relationships between the factors or products of two numbers. Illuminations provides helpful activity sheets and detailed instructions for completing the lesson.

Students will:

  • Review multiplication facts.
  • Develop understanding of factors and multiples and the relationships between them.
  • Use Venn Diagrams to demonstrate these relationships.
  • Understand that some products are the result of more than one factor pair.

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.
  • Develop meaning for integers and represent and compare quantities with them.

North Carolina Curriculum Alignment

Mathematics (2004)

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 1.02: Develop meaning for percents.
      • Connect the model, number word, and number using a variety of representations.
      • Make estimates in appropriate situations.
    • Objective 1.03: Compare and order rational numbers.
    • 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.