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

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

4-1 Ratios

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

Page 2: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

Warm UpWrite each fraction in simplest terms.

1.

3640

3.

5. 1580

2. 2135

4. 4290

6. 5684

23

35

23

910

715

316

812

Page 3: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

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

4-1 Ratios

Prep for MA.7.A.1.1 Distinguish between situations that are proportional or not proportional and use proportions to solve problems.Review of MA.6.A.2.2

Sunshine State Standards

Page 5: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

Vocabulary

ratio

Page 6: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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.

1725

Kathlene can write her ratio of baskets madeto attempts in three different ways.

1725

17 to 25 17:25

Page 7: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

57

, 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 popThe ratio of hip hop to pop is 7 to 8, which can be written as follows:78

, 7 to 8, 7:8

Page 8: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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:

515

, 5 to 15, 5:15

Page 9: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

69

, 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 boardingThe ratio of kite surfing to snow boarding is 4 to 6, which can be written as follows:46

, 4 to 6, 4:6

Page 10: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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:

910

, 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.

Page 11: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

Sometimes a ratio can be simplified. To simplify a ratio, first write it in fraction form and then simplify the fraction.

Page 12: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

A fraction is in simplest form when the GCF of the numerator and denominator is 1.

Remember!

Page 13: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

wordsminute

Write the ratio as a fraction.

600 ÷ 33 ÷ 3

= 6003

Simplify.

For every minute, there are 200 words read.

wordsminute

=

wordsminute

= 2001

The ratio of words to minutes is 200 to 1.

Page 14: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

microscopesstudents

Write the ratio as a fraction.

456 ÷ 152152 ÷ 152

= 456152

Simplify.

For every microscope, there are 3 children.

microscopestudents

=

microscopestudents

= 31

The ratio of microscopes to students is 3 to 1.

Page 15: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

To compare ratios, write them as fractions with common denominators. Then compare the numerators.

Page 16: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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. Tell which package has the greater ratio of drops to ounces.

Additional Example 3: Comparing Ratios

610Ounces

2430Drops

CherryHoney lemon

Honey lemon: dropsounces

= 3010

= 31

Cherry: dropsounces

= 246

= 41

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.

Page 17: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

Jelly beans come in small packages of 25 per 5 ounce package and large packages of 56 per 8 ounce package. Tell which package has the greater ratio of jelly beans to ounces.

Check It Out: Example 3

58Ounces

2556Jelly beans

SmallLarge

Large:jelly beans ounces

= 568

= 71

Small: jelly beans ounces

= 255

= 51

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.

Page 18: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

Page 19: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

816

, 8 to 16, 8:16 or 12

, 1 to 2, 1:2

128

, 12 to 8, 12:8 or 32

, 3 to 2, 3:2

2016

, 20 to 16, 20:16 or 54

, 5 to 4, 5:4

Page 20: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

Page 21: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

1 3

6 15

2 5

6 18

2 5

Page 22: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-1 Ratios

2. A box contains 15 black pens, 12 blue pens, and 9 white pens. Identify the ratio of black pens to white pens 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

4 3

15 9

5 3

12 9

5 3

Page 23: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

4 5

16

20

4 5

Page 24: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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, 70:1 C. , 70 to 4, 70:4

B. , 4 to 70, 4:70 D. , 1 to 70, 1:70

Lesson Quiz for Student Response Systems

70 1

70 4

70 4

70 1

Page 25: 4-1 Ratios Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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