Middle Grades Math: Proportionality in Tables, Graphs, and Equations

Objectives

• Students will recognize and identify the characteristics of proportional and non-proportional relationships by analyzing a table, equation, and graph.

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.