Using the Language of Rate

By Donna Ventura

Students will use numbers, symbols, and language to describe a unit rate associated with a ratio and use rate language in the context of a ratio relationship.

Lesson Objective

The lesson is aligned to the Common Core State Standards for Mathematics – 6.RP.2 Ratios and Proportional Relationships – Understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0, and use rate language in the context of a ratio relationship.

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Lesson Procedure

Using numbers, symbols and language to describe the relationship of the ratio between two quantities.

Example

Oliver paid \$56 for 7 pizzas.

Unit rate: The cost of one pizza was \$8.

Ratio relationship: Oliver paid \$6 for 7 pizzas, which was a rate of \$8 per pizza.

1. Brandon paid \$24 for 8 drinks. What was the unit rate? Write a description of the ratio relationship.

2. Alison made lemonade. She used 2 cups of sugar and the juice from 6 lemons. Write a description of the ratio relationship.

3. Dylan wants to make cookies. The recipe says Dylan should use 3 cups of flour and 12 ounces of chocolate chips. Write a description of the ratio relationship.

4. Noah paid \$16 for 4 hamburgers. What was the unit rate? Write a description of the ratio relationship.

1. The unit rate was \$3 for one drink. Brandon paid \$24 for 8 drinks, which was a rate of \$3 per drink.

2. Alison used 2 cups of sugar and the juice from 6 lemons, so she used 1/3 cup of sugar for each lemon.

3. The recipe has a ratio of 3 cups of flour to 12 ounces of chocolate chips, so there is 1 cup of flour to 4 ounces of chocolate chips.

4. The unit rate was \$4 for one hamburger. Noah paid \$16 for 4 hamburgers, which was a rate of \$4 per hamburger.

Individual or Group Work

Find the unit rate.

1. A 16-ounce package of sausage costs \$5.60. What is the cost of one ounce?
2. A dozen (12) eggs cost \$2.64. What is the cost of one egg?
3. An 8-ounce package of cheese costs \$2.96. What is the cost of one ounce?
4. Four ears of corn costs \$1. What is the cost of one ear of corn?
5. A 6-ounce can of almonds costs \$3. What is the cost of one ounce of almonds?

Use rate language to describe the ratio relationship between the two quantities.

1. Josh paid \$28 for 4 tickets to the county fair.

2. Emily paid \$6 for 12 tickets for rides at the county fair.

3. Jack bought 4 medium lemonades for \$18.

4. Oliver paid \$6 for 4 bags of popcorn.