What Is Unit Rate and How Can We Use Unit Rate to Compare? (After)

Learning Resource Type

Learning Activity

Overview

In this learning activity, students will use a learning strategy for solving unit rate problems from the PBS video. In the accompanying classroom activity, students will solve each problem provided in the student assignment. The students will use a ratio to represent each situation and use division to find the unit rate. To get the most from the activity, students should be comfortable finding equivalent fractions and have had some exposure to the concepts of ratio and unit rate.

Phase

After/Explain/Elaborate
Mathematics (2019) Grade(s): 7

MA19.7.1

Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or fractions.

UP:MA19.7.1

Vocabulary

  • Unit rate
  • Ratio
  • Unit
  • Complex fractions

Knowledge

Students know:
  • What a unit rate is and how to calculate it given a relationship between quantities.
  • Quantities compared in ratios are not always whole numbers but can be represented by fractions or decimals.
  • A fraction can be used to represent division.

Skills

Students are able to:
Compute unit rates associated with ratios of fractional
  • lengths.
  • Areas.
  • quantities measured in like or different units.

Understanding

Students understand that:
  • Two measurements that create a unit rate are always different (miles per gallon, dollars per hour)

Learning Objectives

Student Learning Objectives:

I can write a ratio to model a situation.

I can use division to calculate the unit rate for my ratio.

Activity Details

Procedure:

  • The teacher will review with the students what unit rate is and how they can use unit rate to compare things using the first two sheets of Student Assignment: Use Unit Rates
  • After the students have proven they understand unit rates, the teacher will assign the Student Assignment: Use Unit Rates sheet through a digital platform or print. The students will solve each problem using a ratio to represent each situation and use division to find the unit rate.

(Teacher answer key to Student Assignment: Use Unit Rates)

Assessment Strategies

A class discussion may follow or the activity can be taken up for further assessment.  

Variation Tips

Students can "Write Your Own Problem (Partner Activity)." This activity is included in the Student Assignment: Use Unit Rates.

Background / Preparation

  • The teacher will need to assign the Student Assignment: Use Unit Rates through an online management system or print the Student Assignment: Use Unit Rates sheets for the students to use.
  • The teacher will need to put the students in pairs if the variation tip is used.
  • The teacher will need to sign up for a free PBS LearningMedia account.
  • To get the most from the activity, students should be comfortable finding equivalent fractions and have had some exposure to the concepts of ratio and unit rate.
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