1. Unit Rates
Lesson 6.2

2. CCS: 6.RP.2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. 6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations
Objectives:
Students will find rates and unit rates
Students will compare unit prices
Students will solve real world problems using unit rates

3. Check the Skills You’ll Need
A drama club has 14 females and 8 males. Write each ratio in three ways:
Males to females
Females to males
Total to females
Write each ratio in simplest form:
8 to 12
10:6
8 to 14, 8:14. 8/14
14 to 8, 14:8. 14/8
22 to 14, 22:14, 22/14
2 to 3
5:3

4. Vocabulary
A rate is a ratio that compares two quantities measured in different units.
The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.
A unit price is a unit rate that gives the cost per unit

5. Examples Rate: 150 heartbeats 2 minutes Unit Rate (Divide to get it):
150 ÷ 2 = 75 heartbeats per minute.

6. Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?)
88 pages
22 pages / hour
4 hours

7. Using Unit Rates You can find the missing terms of equal ratios.
Use the unit rate, and set it equal to another ratio.
Solve for what is missing by dividing or multiplying.

8. Example
Joe’s car goes 25 miles per gallon of gasoline. How far can it go on 8 gallons of gasoline?
x 8
25 miles =
Unit Rate
1 gallon
8 gallons
x 8
25 x 8 = Joe’s car can go 200 miles on 8 gallons of gas.

9. Comparing Unit Prices
Use division to find the unit prices of the two products in question.
The unit rate that is smaller (costs less) is the better value.

10. Example
Juice is sold in two different sizes. A 48-fluid ounce bottle costs $ A 32-fluid ounce bottle costs $ Which is the better buy?
$2.07
$0.04 per fl.oz.
48 fl.oz.
$1.64
$0.05 per fl.oz.
32 fl.oz.
The 48 fl.oz. bottle is the better value.

11. Classwork: Play this Jeopardy style game with a partner to practice rates and unit rates. Then…Check out this interactive for ratios and unit rates. You can click on lessons, interactives, or applications. Try it at BRAINCAMP Homework Time: pg. 275, 2-38 Even