1. Warm Up Warm Up Warm Up Warm Up Video Lesson Presentation Lesson Presentation Lesson Presentation Lesson Presentation

2. Warm Up Log on to Math Forward LESSON - Ratio Begin Warm Up You have ten minutes to complete Warm Up. Course 2 5-2 Rates

3. Do we really need math? Course 2 5-2 Rates http://www.youtube.com/watch?v=oruy1AucQsA

4. Learn to find units and compare unit rates, such as average speed and unit price. Course 2 5-2 Rates

5. Vocabulary rate unit rate Insert Lesson Title Here Course 2 5-2 Rates

6. Course 2 5-2 Rates A rate is a ratio that compares two quantities measured in different units. A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator.

7. Find the rate. Additional Example 1A: Finding Unit Rates A Ferris wheel revolves 35 times in 105 minutes. How many minutes does 1 revolution take? 105 minutes 35 revolutions Write a rate that compares minutes and revolutions. Simplify. Divide the numerator and denominator by 35. Course 2 5-2 Rates 105 minutes ÷ 35 35 revolutions ÷ 35 3 minutes 1 revolution The Ferris wheel revolves 1 time in 3 minutes.

8. Find the rate. Additional Example 1B: Finding Unit Rates Teancum walks 6 yards and passes 24 security lights set along the sidewalk. How many security lights does she pass in 1 yard? 24 lights 6 yards Write a rate that compares security lights and yards. Simplify. Divide the numerator and denominator by 6. Course 2 5-2 Rates 24 lights ÷ 6 6 yards ÷ 6 4 lights 1 yard Teancum passes 4 security lights in 1 yard.

9. Quick Poll – Find the Rate Check It Out: Example 1A Mrs. Lizama walks 696 steps in 12 minutes. How many steps Mrs. Lizama take in 1 minute? 696 steps 12 minutes Write a rate that compares steps and minutes. Simplify. Divide the numerator and denominator by 12. Course 2 5-2 Rates 696 steps ÷ 12 12 minutes ÷ 12 58 steps 1 minute Mrs. Lizama walks 58 steps per minute.

10. Quick Poll Check It Out: Example 1B To make 12 smoothies, Tyrone needs 30 cups of ice. How many cups of ice does he need for one smoothie? 30 cups of ice 12 smoothies Write a rate that compares cups of ice and smoothies. Simplify. Divide the numerator and denominator by 12. Course 2 5-2 Rates 30 cups of ice ÷ 12 12 smoothies ÷ 12 2.5 cups of ice 1 smoothie Tyrone needs 2.5 cups of ice per smoothie.

11. Course 2 5-2 Rates An average rate of speed is the ratio of distance traveled to time. The ratio is a rate because the units in the numerator and denominator are different.

12. Danielle is cycling 68 miles as a fundraising commitment. She wants to complete her ride in 4 hours. What should be her average speed in miles per hour? Additional Example 2: Finding Average Speed 68 miles 4 hours Write the rate as a fraction. 68 miles ÷ 4 4 hours ÷ 4 = 17 miles 1 hour Divide the numerator and denominator by the denominator Danielle’s average speed should be 17 miles per hour. Course 2 5-2 Rates

13. Mr. Cooper is a pilot and needs to fly 1191 miles to the next city. He wants to complete his flight in 3 hours. What should be his average speed in miles per hour? Check It Out: Example 2 1191 miles 3 hours Write the rate as a fraction. 1191 miles ÷ 3 3 hours ÷ 3 = 397 miles 1 hour Divide the numerator and denominator by the denominator Mr. Cooper’s average speed should be 397 miles per hour. Course 2 5-2 Rates

14. A unit price is the price of one unit of an item. The unit used depends on how the item is sold. The table shows some examples. Course 2 5-2 Rates Type of ItemExample of Units LiquidOunces, quarts, gallons, liters SolidOunces, pounds, grams, kilograms Any itemBottle, container, carton

15. A 12-ounce sports drink costs $0.99, and a 16- ounce sports drink costs $1.19. Which size is the best buy? Quick Poll : Consumer Math Application SizePrice 12 ounces$0.99 16 ounces$1.19 Divide the price by the number of ounces (oz) to find the unit price of each size. $0.99 12 oz ≈ $0.08 oz Since $0.07 < $0.08, the 16 oz sports drink is the best buy. Course 2 5-2 Rates $1.19 16 oz ≈ $0.07 oz

16. A 1.5 gallon container of milk costs $4.02, and a 3.5 gallon container of milk costs $8.75. Which size is the best buy? Check It Out: Example 3 SizePrice 1.5 gal$4.02 3.5 gal$8.75 Divide the price by the number of grams (g) to find the unit price of each size. $4.02 1.5 gal = $2.68 gal Since $2.50 < $2.68, the 3.5 gallon container is the best buy. Course 2 5-2 Rates $8.75 3.5 gal = $2.50 g

17. Math Forward Activity Statistics show that the average teenager sends or receives approximately 1,500 texts per month. An average of 4.1 billion daily text messages were sent or received in the US in 2009. Pedro Matias, the 2010 Guinness World Record holder for text strokes per minute, can text 264 characters in 1 minute 59 seconds. How many characters can he type per second?

18. Lesson Quiz: Part I 1. Ian earned $96 babysitting for 12 hours. How much did he earn each hour? 2. It takes Mia 49 minutes to complete 14 homework problems. On average, how long did it take to solve each problem? 3. Seth’s family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. What should their average speed be in miles per hour? Insert Lesson Title Here Course 2 5-2 Rates $8 3.5 minutes 55

19. Course 2 5-2 Rates QUICK POLL (yes or no) Do you own a cell phone? Does your phone plan allow texting? Would you consider yourself good at using SMS Language (texting)? QUICK POLL (open response) What is your favorite school appropriate one word text? What is your favorite school appropriate phrase to text?

20. Course 2 5-2 Rates A rate is a ratio that compares two quantities measured in different units. A unit rate is a rate whose denominator is 1. I Love Math Mrs. Muhammad gives too much homework.

21. Lesson Quiz: Part II Insert Lesson Title Here 4. Abby can buy a 7-pound bag of dry cat food for $7.40, or she can purchase a 3-pound bag for $5.38. Which size is the best buy? 7 lb bag Course 2 5-2 Rates