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

Number line journeys

http://illuminations.nctm.org/LessonDetail.aspx?ID=L588

A lesson plan for grades 3–5 Mathematics

Provider: National Council of Teachers of Mathematics


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In this lesson, students generate products using a number line model. Students are encouraged to predict the products and to answer puzzles involving multiplication. Illuminations provides helpful handouts, a fact mastery record, and detailed instructions for completing the lesson.

Students will:

  • Model multiplication on the number line.
  • Use the number line model to find products.
  • Identify known multiplication facts on a chart.

NCTM Standards and Expectations:

  • Represent and analyze patterns and functions, using words, tables, and graphs.
  • Describe, extend, and make generalizations about geometric and numeric patterns.
  • Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 3

  • Goal 5: Algebra - The learner will recognize, determine, and represent patterns and simple mathematical relationships.
    • Objective 5.01: Describe and extend numeric and geometric patterns.
    • Objective 5.02: Extend and find missing terms of repeating and growing patterns.

Grade 4

  • Goal 5: Algebra - The learner will demonstrate an understanding of mathematical relationships.
    • Objective 5.01: Identify, describe, and generalize relationships in which:
      • Quantities change proportionally.
      • Change in one quantity relates to change in a second quantity.
    • Objective 5.02: Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.
    • Objective 5.03: Verify mathematical relationships using:
      • Models, words, and numbers.
      • Order of operations and the identity, commutative, associative, and distributive properties.

Grade 5

  • Goal 5: Algebra - The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.
    • Objective 5.01: Describe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols.
    • Objective 5.02: Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems.