# Activities

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• • ##### 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

3.6

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Proportions in Stories

#### Activity Overview

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.

#### Objectives

• 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.

#### Vocabulary

• 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.