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Middle Grades Math: Proportionality in Tables, Graphs, and Equations
by Texas Instruments - Action Consequence, TI-Nspire Navigator Lesson

Published on November 28, 2011

Objectives

  • Students will recognize and identify the characteristics of proportional and non-proportional relationships by analyzing a table, equation, and graph.
  • Students will identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships (CCSS).
  • Students will identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships (CCSS Mathematical Practice).
  • Students will model with mathematics (CCSS Mathematical Practice).

Vocabulary

  • ratio
  • slope
  • y-intercept
  • constant rate of change
  • proportional
  • non-proportional

About the Lesson

This lesson involves analyzing changes in tables, equations, and graphs of lines to determine proportionality.
As a result, students will:

  • Explore how a change in one representation affects another representation.
  • Determine that a relationship is proportional if the ratio of the y-coordinate to the x-coordinate for each point on a line stays the same and the line goes through the origin.
  • Determine that a relationship is non-proportional if the ratio of the y-coordinate to the x-coordinate for each point on a line is not the same and the line does not go through the origin.

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