What Is Unit Rate and How Can We Use Unit Rate to Compare? (After)
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This learning activity provided by:
Author:
YVETTE AKRIDGE
System: Andalusia City School: Andalusia City Board Of Education
General Activity Information
Activity ID:
2837
Title: What Is Unit Rate and How Can We Use Unit Rate to Compare? (After)
Digital Tool/Resource: Student Assignment: Solving Unit Rate Problems from PBS LearningMedia
Web Address – URL:
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
Associated Standards and Objectives
Content Standard(s):
Mathematics 1. Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or fractions.
Unpacked Content
Evidence Of Student Attainment:
Students:
Compute a unit rate for ratios that compare quantities with different units.
Determine the unit rate for a given ratio, including unit rates expressed as a complex fraction. Teacher 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) Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.7.1.1: Define unit rate, proportions, area, length, and ratio.
M.7.1.2: Recall how to find unit rates using ratios.
M.7.1.3: Recall the steps used to solve division of fraction problems.
Prior Knowledge Skills:
Recall addition and subtraction of fractions as joining and separating parts referring to the same whole.
Identify two fractions as equivalent (equal) if they are the same size or the same point on a number line.
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Generate equivalent fractions.
Define quantity, fraction, and ratio.
Reinterpret a fraction as a ratio. Write a ratio as a fraction.
Create a ratio or proportion from a given word problem, diagram, table, or equation.
Calculate unit rate or rate by using ratios or proportions.
Alabama Alternate Achievement Standards
AAS Standard:
Mathematics 1. Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or fractions. [Grade 7, 1]
Unpacked Content
Evidence Of Student Attainment:
Students:
Compute a unit rate for ratios that compare quantities with different units.
Determine the unit rate for a given ratio, including unit rates expressed as a complex fraction. Example, if a runner runs mile every hour, a student should be able to write the ratio as a complex fraction.) Teacher Vocabulary:
Unit rate
Ratio
Unit
Complex fractions Knowledge:
Students know:
What and how to calculate a unit rate to represent a given 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:
the two measurements that create a unit rate are always different (miles per gallon, dollars per hour). Diverse Learning Needs:
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.
Strategies, Preparations and Variations
Phase: After/Explain/Elaborate
Activity: 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.
Advanced 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.
Variation Tips (optional): Students can "Write Your Own Problem (Partner Activity)." This activity is included in the Student Assignment: Use Unit Rates.
Notes or Recommendations (optional):
Keywords and Search Tags
Keywords and Search Tags:
equivalent fractions, fractions, ratios, unit rates
