# Ch 1: Unit Rates & Ratios of Fractions: CCSS.Math.Content.7.RP.A.1

Use these lessons as homework or a supplement to in-class instruction to enhance your students' understanding of proportion and ratio basics as well as working with ratios of fractions. Have students complete the assessments to help gauge understanding.

Standard: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. (CCSS.Math.Content.7.RP.A.1)

This chapter presents lessons critical to understanding and applying proportions and ratios to real-life scenarios. Students will learn to define proportions and ratios, solve for missing elements of proportions, and work with unit rates across various units of measurement. This chapter includes lessons on:

• Defining proportionality
• Calculating proportions and ratios
• Finding an unknown in a proportion
• Calculations of unit rates associated with ratios of fractions

Students who have mastered these lessons will correctly identify proportions and understand their relationship to ratios. They will learn to apply concepts of ratios and proportions across a wide variety of real-world scenarios. These lessons help build the foundation for further analysis of units and rates.

### How to Use These Lessons in Your Classroom

Here are some ideas for ways to incorporate the lessons in this chapter into your classroom instruction.

Watch the Calculations with Ratios and Proportions video in class, which defines ratios and proportions and provides several examples of each. Assign students the homework of creating a list of 10 things in their daily life which can be represented by ratios. They then must create a word problem which describes the ratio and asks to solve for an unknown in a proportionate ratio. Randomly distribute completed homework among the students the next day and have them complete the tests their classmates created.

#### Lesson application and assessment

Assign the videos and their associated quizzes in this chapter as homework. Have students measure the distance from their home to work using an online mapping service and measure how long it takes to get to school in the morning. Have each student identify their mode and rate of travel at the start of class. Ensure students understand that they must represent distance or time as improper fractions if they exceed a whole.

#### Analyzing weekly activities

Have students keep a daily journal with approximate amount of time they perform a given activity (e.g. school, homework, watching television, playing games, or doing chores). At the end of the week total the sums of time spent in each activity, expressed as a fraction of the week (requiring students to convert minutes and hours to weeks). Have them calculate relationships between activities, such as the ratio of how much homework they do versus how much TV they watch or of how much school they attend over how much they sleep.

4 Lessons in Chapter 1: Unit Rates & Ratios of Fractions: CCSS.Math.Content.7.RP.A.1
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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