Compute Unit Rates with Ratios of Fractions

Compute Unit Rates with Ratios of Fractions

by DAMIAN MATTIS

​Learning Objective and Common Core State Standards

I can compute unit rates with ratios of fractions and solve real world problems.

​

7.RP.A.1​

​Success Criteria

• Divide complex fractions

• ​Compute unit rates with appropriate units

​Mathematical Practices

​MP 7 -

​

Look for and make use of structure.

​

​I can use what I already know about math to solve the problem.

​Vocabulary

Unit Rate:

A ratio with a denominator of 1; the word unit means 1; the word "per" means for one unit; examples: miles per gallon, days per year.

​

Complex Fraction:

A fraction that contains a fraction in the numerator, the denominator, or in both .

​

​Refresh . . .

​Introductory Question

​The family is on their way to the zoo, but first, they have to stop and fill the tank with gas. The gas pump dispensed ½ a gallon of gas in 10 seconds. What is the unit rate in gallons per minute?

​​Try this Question . . . .

​​On their trip to the zoo, the Gonzalez family stopped at the grocery store to pick up some picnic items. To choose the best deal, they will compute the unit rates for each item, and then choose the item with the lowest cost per ounce.

​