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## Using Ratio and Rate

written by: Donna Ventura • edited by: Tricia Goss • updated: 9/1/2014

Students will use ratio and rate to solve real-world and mathematical problems.

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### Lesson Objective

The lesson is aligned to the Common Core State Standards for Mathematics – 6.RP.3.a Ratios and Proportional Relationships – Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

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### Materials Required

• Calculator
• Graph paper
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### Lesson Procedure

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane.

Example

A passenger airplane flies at a cruising speed of approximately 550 miles per hour (mph).

1. Complete the table to show the distance travelled for each of the number of hours the airplane flew at this cruising speed.
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2. Plot the pairs of values on the coordinate plane shown below.

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### Individual or Group Work

Wilbur Wrights’s first airplane flew at an airspeed of approximately 6 miles per hour.

1. Complete the table to show the distance Wilbur Wright could have travelled for each of the number of hours at this speed.
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2. Plot the pairs of values on the coordinate plane shown below.

A helicopter can fly at an airspeed of approximately 248 miles per hour.

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3. Complete the table to show the distance the helicopter could travel for each of the number of hours at this speed.

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4. Plot the pairs of values on the coordinate plane shown below.

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Concluding Statement

Students should be able to make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables and plot the pairs of values on the coordinate plane.

#### Ratios, Rates and Percentages

This series of lesson plans provides you with classroom teaching tool ideas as well as group or individual work example problems and answers you can use to help your students comprehend ratios, rates and percentages. The lessons align to the Common Core State Standards for Mathematics.