These lessons, with videos, examples and solutions, help Grade 7 students learn how to 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.
Common Core: 7.RP.1
The following diagram shows how unit rates can be used to solve problems. Scroll down the page for more examples and solutions on how to use unit rates.
Ratios & Unit Rates
Ratio is a comparison between two quantities by division
A rate is a ratio that compares quantities in different units
A unit rate is a rate with a denominator of 1.
The table show prices for different packages of index cards. Which size has the lowest unit cost?
Convert 30gals/min cups/second. (Hint: 16 cups = 1 gallon)
A contractor has a job that requires 540 person-day. How many workers are needed to complete the job in 60 days?
Unit Rate Word Problems
7.RP.1: Ratios and Unit Rates
Quick instruction on ratios and how to calculate unit rates.
Finding Unit Rates by Simplifying Complex Fractions
This video demonstrates two methods of find a unit rate: algebraic and symbolic. This skill directly address CCSS.Math.Content.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
William can run 1/2 of mile in 1/10 of an hour. How many miles can he run in one hour?
Rate/Unit Rate word problems
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