1. FCAT Countdown DAY 3 – PART 1 RATES Benchmark: B.1.4.2 Use the left  and right  arrow keys to navigate through this presentation.

2. Agenda Review Rates Review Rates Example Problems Example Problems Practice Problems Practice Problems

3. Objectives Convert rates using dimensional analysis Convert rates using dimensional analysis Solve rate problems Solve rate problems

4. Review: Rates Rates compare two unlike quantities Rates compare two unlike quantities Often, one must convert from one unit to another Often, one must convert from one unit to another At times, a proportion is used to find the answer At times, a proportion is used to find the answer

5. Conversions To convert from larger to smaller, multiply To convert from larger to smaller, multiply To convert from smaller to larger, divide To convert from smaller to larger, divide

6. Example 1 - Conversions Twenty people are at a café drinking coffee. Each serving of coffee is 1.5 cups. How many ounces of coffee are used if there are 8 ounces in a cup? Twenty people are at a café drinking coffee. Each serving of coffee is 1.5 cups. How many ounces of coffee are used if there are 8 ounces in a cup? What do I know? What do I know? 1.5 cups of coffee for 20 people, 8 ounces in a cup 1.5 cups of coffee for 20 people, 8 ounces in a cup What do I need to find out? What do I need to find out? The number of coffee cups The number of coffee cups The number of ounces in all the coffee cups The number of ounces in all the coffee cups How are they related? How are they related? 20 * 1.5 = 30 cups of coffee 30 * 8 = 240 ounces

7. Example 2 - Conversions A car is traveling 55 miles per hour on the highway. How fast is the car going in feet per hour? A car is traveling 55 miles per hour on the highway. How fast is the car going in feet per hour? What do I know? What do I know? Rate is 55 miles per hour Rate is 55 miles per hour What do I need to find out? What do I need to find out? The rate in feet per hour The rate in feet per hour How are they related? How are they related? There are 5,280 feet in a mile (on reference page) 55 miles/hour * 5,280 feet/mile = 290,400 feet/hour (larger to smaller  multiply)

8. Example 3 - Conversions A bungee jumper flies out a plane at a rate of 20 meters in 30 seconds. How many minutes will it take to cover 1 kilometer? A bungee jumper flies out a plane at a rate of 20 meters in 30 seconds. How many minutes will it take to cover 1 kilometer? What do I know? What do I know? 20 meters in 30 seconds 20 meters in 30 seconds What do I need to find out? What do I need to find out? Minutes for 1 kilometer Minutes for 1 kilometer How are they related? How are they related? 60 seconds in a minute 1000 meters in a kilometer (both on reference page) 20 meters in 30 seconds = 40 meters in 1 min (60 seconds) 1000 meters (1 kilometer) / 40 meters per minute = 25 minutes

9. Practice Problems Click on the link below to go to the practice problems: http://stuff4mathclass.com/fcat/crunch time/rates.html http://stuff4mathclass.com/fcat/crunch time/rates.html