Learning Activity

Difference Between Proportional and Non-Proportional Variables Lesson

Subject Area

Mathematics

Grade(s)

7, 8

Overview

In this learning activity, students will learn how to distinguish the differences between proportional and non-proportional situations or relationships using graphs, tables, and equations. The lesson includes vocabulary, dialogue, teaching material, practice, and re-teaching material. To get the most from this activity, students should know that linear relationships can be represented as words, tables, graphs, and equations. 

 

This learning activity can be used as a stand-alone activity or a During/Explore Activity. The Before and After activities can be found in the Notes or Recommendations section.

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.4

Determine whether a relationship between two variables is proportional or non-proportional. [Grade 8, 7]

Unpacked Content

UP:MA19.7A.4

Vocabulary

  • Ratio
  • Proportion
  • Proportional
  • Independent variable
  • Dependent variable

Knowledge

Students know:
  • How to use rates and scale factors to find equivalent ratios.
  • What a unit rate is and how to findit when needed.

Skills

Students are able to:
  • Recognize whether ratios are in a proportional relationship using tables and verbal descriptions.

Understanding

Students understand that:
  • a proportion is a relationship of equality between quantities.
Mathematics (2019) Grade(s): 8

MA19.8.7

Determine whether a relationship between two variables is proportional or non-proportional.

Unpacked Content

UP:MA19.8.7

Vocabulary

  • Ratio
  • Proportion
  • Proportional
  • Independent variable
  • Dependent variable

Knowledge

Students know:
  • how to use rates and scale factors to find equivalent ratios.
  • What a unit rate is and how to findit when needed.

Skills

Students are able to:
  • Recognize whether ratios are in a proportional relationship using tables and verbal descriptions.

Understanding

Students understand that:
  • a proportion is a relationship of equality between quantities.

Phase

During/Explore/Explain
Learning Objectives

Learning Objectives

The students will determine whether a relationship between two variables is proportional or non-proportional.

Activity Details

  • This activity will be used to teach the differences between proportional and non-proportional situations or relationships.
  • The teacher will use the Difference Between Proportional and Non-Proportional Lesson to teach the lesson objective.
  • The lesson should be taught whole group and it includes Vocabulary, Examples, Practice, and Review to help the student understand the concept.
  • The teacher will begin the activity by using the Vocabulary section of the slides. The students need to understand the meanings of the words associated with proportional and non-proportional. 
  • Next, the teacher will use the Examples section of the slides to teach the students about the different ways to determine if a relationship is proportional or non-proportional.
  • After the teacher has used the Vocabulary and Example sections, he/she should use the Practice section of the slides to check for understanding of the lesson objective.
  • In conclusion, the teacher will use the Review section of the lesson: If a relationship is nonlinear, it is nonproportional. If it is linear, it may be either proportional or nonproportional. When the graph of the linear relationship contains the origin, the relationship is proportional.
  • The teacher should circulate the room while using the Difference Between Proportional and Non-Proportional Lesson to check for understanding.
Assessment Strategies

Assessment Strategies

The student responses during the class discussion will be used as a formative assessment. 

Variation Tips

  • Teachers may modify the slides and examples to fit their needs.
  • Teachers may substitute the chosen text for those that they feel are more suitable to their students, or those that align with a unit in their classes.

Related Learning Activities

Learning Activity (Before)

Difference Between Proportional and Non-Proportional Variables Introduction

Learning Activity (During)

Difference Between Proportional and Non-Proportional Variables Lesson

Learning Activity (After)

Difference Between Proportional and Non-Proportional Relationships Practice

Background and Preparation

Background / Preparation

  • Students should know that two variables show direct variation if y = kx and k is not equal to zero. k represents the constant of proportionality.
  • The teacher should review the Difference Between Proportional and Non-Proportional Lesson slides prior to using the activity.
  • The teacher will need to decide on how he/she will display the Google Slide presentation prior to using the activity. 

Digital Tools / Resources

Difference Between Proportional and Non-Proportional Variables Lesson Google Doc
https://docs.google.com/presentation/d/133tFfdUB5pJ9dfjUpJosIHA1UAxNad_f37i3pJU…

Approved Date

Owner (Author)

yvetteakridge
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