# Activities

• ##### Download

• • ##### Subject Area

• Math: Middle Grades Math: Ratios and Proportional Relationships

• ##### Author 6-8

45 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

4.5

## Proportionality in Tables, Graphs, and Equations

#### Activity Overview

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

#### 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.