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2. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Find Unit Rates Example 2:Find Unit Rates Example 3:Test Example: Compare Using Unit Rates Example 4:Real-World Example: Use a Unit Rate

3. Main Idea/Vocabulary Rate: A ratio that compares two quantities with different kinds of units. Unit Rate: When a rate is simplified so that it has a denominator of 1 unit, it is called a unit rate. Determine units rates.

4. Example 1 Find Unit Rates READING Julia read 52 pages in 2 hours. What is the average number of pages she read per hour? Write the rate as a fraction. Then find an equivalent rate with a denominator of 1. Write the rate as a fraction. Divide the numerator and denominator by 2. Simplify. Answer: The average number of pages Julia read, or unit rate, is 26 pages per hour.

5. 1.A 2.B 3.C 4.D Example 1 A.4 laps per minute B.12 laps per minute C.20 laps per minute D.64 laps per minute SWIMMING Natalie swam 16 laps in 4 minutes. What is the average number of laps she swam per minute?

6. Example 2 Find Unit Rates SODA Find the unit price per can if it costs $3 for 6 cans of soda. Round to the nearest hundredth if necessary. Answer: The unit price is $0.50 per can. Write the rate as a fraction. Divide the numerator and the denominator by 6. Simplify.

7. 1.A 2.B 3.C 4.D Example 2 COOKIES Find the unit price per cookie if it costs $3 for 12 cookies. A.$0.18 per cookie B.$0.21 per cookie C.$0.25 per cookie D.$3.60 per cookie

8. Example 3 The costs of 4 different sizes of orange juice are shown in the table. Which container costs the least per ounce? A 96-oz container B 64-oz container C 32-oz container D 16-oz container Read the Item Find the unit price, or the cost per ounce, of each size of orange juice. **Divide the price by the number of ounces. Compare Using Unit Rates

9. Example 3 Solve the Item The 96-ounce container of orange juice costs the least per ounce. 16-ounce container$1.28 ÷ 16 ounces=$0.08 per ounce 32-ounce container$1.92 ÷ 32 ounces=$0.06 per ounce 64-ounce container$2.56 ÷ 64 ounces=$0.04 per ounce 96-ounce container$3.36 ÷ 96 ounces=$0.035 per ounce Compare Using Unit Rates Answer: A

10. 1.A 2.B 3.C 4.D Example 3 The costs of different sizes of bottles of laundry detergent are shown below. Which bottle costs the least per ounce? A.96-oz container B.64-oz container C.32-oz container D.16-oz container

11. Example 4 POTATOES An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes? Find the unit rate. Answer: The assistant cook can peel 150 potatoes in 50 minutes. Use a Unit Rate Then multiply this unit rate by 50 to find the number of potatoes he can peel in 50 minutes.

12. 1.A 2.B 3.C 4.D Example 4 A.21 beads B.63 beads C.120 beads D.180 beads Sarah can paint 21 beads in 7 minutes. At this rate, how many beads can she paint in one hour?

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14. Resources Five-Minute Check (over Lesson 6–1) Image Bank Math Tools Scale Drawings Using Proportions

15. 1.A 2.B 3.C 4.D Five Minute Check 1 Write the ratio 36 to 21 as a fraction in simplest form. (over Lesson 6-1) Write the ratio 16 to 64 as a fraction in simplest form. Write the ratio 22 meters to 180 meters as a fraction in simplest form. Determine and explain whether the ratios 4:6 and 52:78 are equivalent. Determine and explain whether the ratios 8:17 and 32:64 are equivalent. Among the staff at Roosevelt Elementary, 68 teachers prefer coffee and 20 prefer tea. Write a ratio that shows the relationship of coffee drinkers to tea drinkers in simplest form.

16. 1.A 2.B 3.C 4.D Five Minute Check 1 Write the ratio 36 to 21 as a fraction in simplest form. A. B. C. D. (over Lesson 6-1)

17. 1.A 2.B 3.C 4.D Five Minute Check 2 Write the ratio 16 to 64 as a fraction in simplest form. A.4 B.2 C. D. (over Lesson 6-1)

18. 1.A 2.B 3.C 4.D Five Minute Check 3 Write the ratio 22 meters to 180 meters as a fraction in simplest form. A. B. C. D. (over Lesson 6-1)

19. 1.A 2.B 3.C 4.D Five Minute Check 4 Determine and explain whether the ratios 4:6 and 52:78 are equivalent. A.Yes; 4:6 = and 52:78 = B.Yes; 4:6 = and 52:78 = C.No; 4:6 = and 52:78 = D.No; 4:6 = and 52:78 = (over Lesson 6-1)

20. 1.A 2.B 3.C 4.D Five Minute Check 5 Determine and explain whether the ratios 8:17 and 32:64 are equivalent. A.Yes; 8:32 = and 17:64 = B.Yes; 8:32 = and 17:64 = C.No; 8:17 = and 32:64 = D.No; 8:17 = and 32:64 = (over Lesson 6-1)

21. 1.A 2.B 3.C 4.D Five Minute Check 6 A.10:34 B.17:5 C.5:17 D.34:10 Among the staff at Roosevelt Elementary, 68 teachers prefer coffee and 20 prefer tea. Which ratio shows the relationship of coffee drinkers to tea drinkers in simplest form? (over Lesson 6-1)

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