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Proportionality in Tables, Graphs, and Equations

Published on 11/28/2011

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

- 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).

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

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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