In this lesson, students model races in which runners start from various positions. They enter numbers in a table of values, model races on a coordinate grid, and compare the results. Students begin to develop an understanding of linear relationships. Illuminations provides several helpful activity sheets and detailed instructions for completing the lesson.

Students will:

  • Graph sets of ordered pairs on a grid.
  • Compare representations of linear equations.
  • Find the product of two factors 0-9.
  • Describe patterns from a table of values.

NCTM Standards and Expectations:

  • Describe, extend, and make generalizations about geometric and numeric patterns.
  • Represent and analyze patterns and functions, using words, tables, and graphs.
  • 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.
    • Objective 5.03: Use symbols to represent unknown quantities in number sentences.
    • Objective 5.04: Find the value of the unknown in a number sentence.

Grade 4

  • Goal 5: Algebra - The learner will demonstrate an understanding of mathematical 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.