Education Technology

Middle Grades Math: Proportions in Stories

by Texas Instruments


  • Students will construct a data table, analyze the scatter plot of the data, develop an equation to describe the data, and graph the equation to verify that it represents the data.
  • Students will compare and contrast proportional and non-proportional linear relationships in real-life stories represented by a table, an equation, and a graph.
  • Students will identify characteristics of proportional relationships by analyzing a table, equation, and graph.
  • Students will analyze tables, equations, and graphs to determine if two quantities are in a proportional relationship.


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

About the Lesson

This lesson involves inputting data into a table, observing the data on coordinate plane, and inputting an equation that corresponds with the table of values.

As a result, students will:

  • Analyze three real-life situations, two that represent proportional relationships and one that represents a non-proportional linear situation.
  • Determine characteristics of proportional relationships given in multiple representations, such as verbal, numerical, algebraic, and graphical.