1. 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 4-1 Ratios Warm Up Write each fraction in simplest terms. 1. 36 40 3. 5. 15 80 2. 21 35 4. 42 90 6. 56 84 2323 3535 2323 9 10 7 15 3 16 8 12

3. 4-1 Ratios Problem of the Day If June 1 falls on a Tuesday, on which day of the week does September 1 fall? Wednesday

4. 4-1 Ratios Learn to identify, write, and compare ratios.

5. 4-1 Ratios Vocabulary ratio

6. 4-1 Ratios Twenty students are asked to choose their favorite music category. Eight chose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms. Additional Example 1: Writing Ratios A. rock to hip hop 5757, 5 to 7, 5:7 The ratio of rock to hip hop is 5 to 7, which can be written as follows: B. hip hop to pop The ratio of hip hop to pop is 7 to 8, which can be written as follows: 7878, 7 to 8, 7:8

7. 4-1 Ratios In basketball practice. Kathlene made 17 baskets in 25 attempts. She compared the number of baskets she made to the total number of attempts she made by using the ratio. A ratio is a comparison of two quantities by division. 17 25 Kathlene can write her ratio of baskets made to attempts in three different ways. 17 25 17 to 2517:25

8. 4-1 Ratios Twenty students are asked to choose their favorite music category. Eight chose pop, seven chose hip hop, and five chose rock. Write each ratio in all three forms. Additional Example 1: Writing Ratios C. rock to pop and hip hop The ratio of rock to pop is 5 to 8 and rock to hip hop is 5 to 7, which can be written as follows: 5 15, 5 to 15, 5:15

9. 4-1 Ratios Nineteen students are asked to choose their favorite sport. Nine chose rock climbing, four chose kite surfing, and six chose snow boarding. Write each ratio in all three forms. Check It Out: Example 1 A. snow boarding to rock climbing 6969, 6 to 9, 6:9 The ratio of snow boarding to rock climbing is 6 to 9, which can be written as follows: B. kite surfing to snow boarding The ratio of kite surfing to snow boarding is 4 to 6, which can be written as follows: 4646, 4 to 6, 4:6

10. 4-1 Ratios Check It Out: Example 1 C. rock climbing to kite surfing and snowboarding The ratio of rock climbing to kite surfing is 9 to 4 and rock climbing to snow boarding is 9 to 6, which can be written as follows: 9 10, 9 to 10, 9:10 Nineteen students are asked to choose their favorite sport. Nine chose rock climbing, four chose kite surfing, and six chose snow boarding. Write each ratio in all three forms.

11. 4-1 Ratios Sometimes a ratio can be simplified. To simplify a ratio, first write it in fraction form and then simplify the fraction.

12. 4-1 Ratios A fraction is in simplest form when the GCF of the numerator and denominator is 1. Remember!

13. 4-1 Ratios On average, most people can read about 600 words in 3 minutes. Write the ratio of words to minutes in all three forms. Write your answer in simplest form. Additional Example 2: Writing Ratios in Simplest Form words minute Write the ratio as a fraction. 600 ÷ 3 3 ÷ 3 = 600 3 Simplify. For every minute, there are 200 words read. words minute = words minute = 200 1 The ratio of words to minutes is 200 to 1.

14. 4-1 Ratios At Casitas Middle School there are 456 microscopes for 152 students. Write the ratio of microscopes to students in all three forms. Write your answer in simplest form. Check It Out: Example 2 microscopes students Write the ratio as a fraction. 456 ÷ 152 152 ÷ 152 = 456 152 Simplify. For every microscope, there are 3 children. microscope students = microscope students = 3131 The ratio of microscopes to students is 3 to 1.

15. 4-1 Ratios To compare ratios, write them as fractions with common denominators. Then compare the numerators.

16. 4-1 Ratios Honey-lemon cough drops come in packages of 30 drops per 10-ounce bag. Cherry cough drops come in packages of 24 drops per 6-ounce bag. Compare the ratio of drops per ounces for each bag of cough drops. Additional Example 3: Comparing Ratios 610Ounces 2430Drops CherryHoney-lemon Honey-lemon: drops ounces = 30 10 = 3131 Cherry: drops ounces = 24 6 = 4141 Because 4 > 3 and the denominators are the same, the drops to ounces is greater in the bag of cherry cough drops. Write the ratios as fractions with common denominators.

17. 4-1 Ratios Jelly beans come in small packages of 25 per 5 ounce package and large packages of 56 per 8 ounce package. Compare the ratio of jelly beans per ounce for each of the packages. Check It Out: Example 3 58Ounces 2556Jelly beans SmallLarge Large: jelly beans ounces = 56 8 = 7171 Small: jelly beans ounces = 25 5 = 5151 Because 7 > 5 and the denominators are the same, jelly beans to ounces is greater in the small package. Write the ratios as fractions with common denominators.

18. 4-1 Ratios Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

19. 4-1 Ratios 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, 5:4

20. 4-1 Ratios Lesson Quiz: Part II 4. There are 220 calories in 5 crackers. Write the ratio of calories to crackers in all three forms. Write your answers 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

21. 4-1 Ratios 1. A box contains 18 violet tops, 15 red tops, and 6 white tops. Identify the ratio of white tops to violet tops in all three forms. A., 6 to 18, 6:18 or, 1 to 3, 1:3 B., 6 to 15, 6:15 or, 2 to 5, 2:5 C., 6 to 18, 6:18 or, 2 to 5, 2:5 Lesson Quiz for Student Response Systems 6 18 1313 6 15 2525 6 18 2525

22. 4-1 Ratios 2. A box contains 15 black balls, 12 blue balls, and 9 white balls. Identify the ratio of black balls to white balls in all three forms. A., 12 to 9, 12:9 or, 4 to 3, 4:3 B., 15 to 9, 15:9 or, 5 to 3, 5:3 C., 12 to 9, 12:9 or, 5 to 3, 5:3 Lesson Quiz for Student Response Systems 12 9 4343 15 9 5353 12 9 5353

23. 4-1 Ratios 3. In a book shelf, there are 20 math books, 14 science books, and 2 history books. Identify the ratio of history books and science books to math books in all three forms. A., 16 to 20, 16:20 or, 7 to 10, 7:10 B., 14 to 20, 14:20 or, 4 to 5, 4:5 C., 16 to 20, 16:20 or, 4 to 5, 4:5 Lesson Quiz for Student Response Systems 16 20 7 10 14 20 4545 16 20 4545

24. 4-1 Ratios 4. In a school, there are 350 students in 5 classes. Identify the ratio of students to classes in all three forms. Write your answers in simplest form. A., 70 to 1, 70:1C., 70 to 4, 70:4 B., 4 to 70, 4:70D., 1 to 70, 1:70 Lesson Quiz for Student Response Systems 70 1 70 4 70 1

25. 4-1 Ratios 5. In Family 1, there are 6 adults and 14 children. Which of the following families will have a greater ratio of adults to children than Family 1? A. Family 2: 9 adults and 19 children B. Family 3: 3 adults and 10 children C. Family 4: 4 adults and 12 children D. Family 5: 7 adults and 18 children Lesson Quiz for Student Response Systems