1. 5-1 RatiosRatios 5-2 RatesRates 5-3 Identifying and Writing ProportionsIdentifying and Writing Proportions 5-4 Solving ProportionsSolving Proportions 5-5 Customary MeasurementsCustomary Measurements 5-6 Similar Figures and ProportionsSimilar Figures and Proportions 5-7 Using Similar FiguresUsing Similar Figures 5-8 Scale Drawings and Scale ModelsScale Drawings and Scale ModelsPreview Lesson Quizzes

2. Lesson Quiz: Part I A coin bank contains 16 quarters, 12 dimes, and 8 nickels. Write the given ratio in all three forms. 1. nickels to quarters 2. dimes to nickels 3. nickels and dimes to quarters 8 16, 8 to 16, 8:16 or 1212, 1 to 2, 1:2 12 8, 12 to 8, 12:8 or 3232, 3 to 2, 3:220 16, 20 to 16, 20:16 or 5454, 5 to 4, 5:45-1 Ratios

3. Lesson Quiz: Part II 4. There are 220 calories in 5 crackers. Write the ratio of calories to crackers in simplest form. 5. On a school trip, Bus 1 has 3 teachers and 14 students. Bus 2 has 4 teachers and 28 students. Which bus has the greater ratio of teachers to students? Bus 1 44 calories 1 cracker, 44 to 1, 44:1 5-1 Ratios

4. Lesson Quiz 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? $8 3.5 minutes 55 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 5-2 Rates

5. Lesson Quiz: Part I Determine whether the ratios are proportional. 1. 9 30, 12 40 2. 12 21, 10 15 Find a ratio equivalent to each ratio. Then use the ratios to write a proportion. 3. 3838 4. 3737, ; not proportional 4747 2323 15 40 ; = 3 8 15 40, ; proportional 3 10 3 10 9 21 ; = 3737 9 21 5-3 Identifying and Writing Proportions

6. Lesson Quiz: Part II 5. In one pre-school, there are 5 children for every teacher. In another pre-school, there are 20 children for every 4 teachers. Determine whether the ratios of children to teachers are proportional in both pre-schools. 20 4 5151 = 5-3 Identifying and Writing Proportions

7. Lesson Quiz Use cross products to solve each proportion. 1. 25 20 = 45 t 2. x9x9 = 19 57 3. 2323 = r 36 4. n 10 = 28 8 t = 36x = 3 r = 24 n = 35 5. Carmen bought 3 pounds of bananas for $1.08. June paid $ 1.80 for her purchase of bananas. If they paid the same price per pound, how many pounds did June buy? 5 pounds 5-4 Solving Proportions

8. Lesson Quiz: Part I Choose the most appropriate customary unit for each measurement. Justify your answer. 1. the capacity of a bathtub 2. the weight of a calculator 3. the length of an indoor sports arena gallons; similar to the capacity of several large milk jugs too small to measure in miles, so it should be measured in feet ounces; similar to the weight of several slices of bread 5-5 Customary Measurements

9. Lesson Quiz: Part II 4. Convert 13 gallons to quarts. 5. One ounce is about 28.3 grams. A box of cereal has a mass of 400 grams. What is the weight of the box in ounces? Round to the nearest tenth of an ounce. 52 14.1 oz 5-5 Customary Measurements

10. Lesson Quiz Tell whether the triangles are similar. 1. similar 59° 35° 86° 2. 119° 55° 107° 79° 107° 80° 135° 38° not similar 5-6 Similar Figures and Proportions

11. Lesson Quiz Find the unknown length in each pair of similar figures. 1.2. x = 120 cmt = 150 cm 3. The rectangles below are similar. The width of the smaller rectangle is 5.75 in. The width of a larger rectangle is 9.25 in. Estimate the length of the larger rectangle. about 15 inches 5-7 Using Similar Figures

12. Lesson Quiz Identify the scale factor. Statue of LibertyModel Height (in.)1,8248 1. 2. 144 inches, or 12 feet 1 228 On a scale drawing, a kitchen wall is 6 inches long. The scale factor is. What is the length of the actual wall? 1 24 3.On a road map, the distance from Green Bay to Chicago is 11 cm. What is the actual distance between the cities if the map scale is 3 cm = 90 km? 330 km 5-8 Scale Drawings and Scale Models