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Page 1: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent
Page 2: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Five-Minute Check (over Lesson 6–1)

Main Idea and Vocabulary

Example 1:Equivalent Ratios of Larger Quantities

Example 2: Equivalent Ratios of Smaller Quantities

Example 3: Use Scaling

Example 4: Use a Ratio Table

Page 3: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

• ratio table

• equivalent ratio

• scaling

• Use ratio tables to represent and solve problems involving equivalent ratios.

Page 4: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Equivalent Ratios of Larger Quantities

BEANS A recipe calls for 5 cups of water for each cup of pinto beans. Use the ratio table to find how many cups of water should be used for 4 cups of pinto beans.

Method 1 Find a pattern and extend it.

For 2 cups of beans, you would need a total of 5 + 5 or 10 cups of water.

Page 5: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Equivalent Ratios of Larger Quantities

Continue this pattern until you reach 4 cups.

Method 2 Multiply each quantity by the samenumber.

Since 1 × 4 = 4, multiply each quantity by 4.

Page 6: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Equivalent Ratios of Larger Quantities

Answer: So, you would need 20 cups of water for 4 cups of beans.

Page 7: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

A. 11 cups

B. 13 cups

C. 15 cups

D. 17 cups

PUNCH A recipe for punch calls for 3 cups of juice for every cup of soda. Use the ratio table to find how many cups of juice should be used for 5 cups of soda.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 8: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Equivalent Ratios of Smaller Quantities

SPIDERS Texas has over 900 species of spiders. Use the ratio table to find how many legs a spider has.

Divide each quantity by one or more common factors until you reach a quantity of 1 spider.

Answer: So, a spider has 8 legs.

Page 9: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

A. 3 windows

B. 4 windows

C. 5 windows

D. 6 windows

WINDOWS Each apartment in Jarome’s apartment building has the same number of windows. Use the ratio table to find how many windows each apartment in the building has.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 10: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Use Scaling

CLOTHING Coco used 12 yards of fabric to make 9 blouses. Use the ratio table to find the number of blouses she could make with 20 yards of fabric.

There is no whole number by which you can multiply 12 to get 20. So, scale back to 4 and then scale forward to 20.

Page 11: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Use Scaling

Divide each quantity by a common factor, 3. Then, since 4 × 5 = 20, multiply each quantity by 5.

Answer: So, Coco could make 15 blouses with 20 yards of fabric.

Page 12: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

A. 12 bottles

B. 14 bottles

C. 15 bottles

D. 18 bottles

PAINT Mrs. Wallace ordered 8 bottles of paint for 18 students. Use the ratio table to find the number of bottles of paint she would need to order for 27 students.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 13: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

PACKAGING It takes a worker 70 minutes to pack 120 cartons of books. The worker has 14 minutes of work left. Use a ratio table to find how many cartons of books the worker can pack in 14 minutes.

Set up a ratio table.

Use a Ratio Table

Label the rows with the two quantities being compared. Then fill in what is given.

Page 14: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Use a Ratio Table

Answer: The worker can pack 24 cartons of books in 14 minutes.

Divide each quantity by a common factor, 10. Then, since 7 × 2 = 14, multiply each quantity by 2.

Use scaling to find the desired quantity.

Page 15: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

A. 8 cards

B. 10 cards

C. 12 cards

D. 14 cards

CARDS Maya wrote 18 thank you cards in 15 minutes. She has 10 minutes to work on her thank you cards before tennis practice. Use a ratio table to find how many cards she can write in 10 minutes.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 16: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

End of the Lesson

Page 17: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

Five-Minute Check (over Lesson 6–1)

Image Bank

Math Tools

Ratios and Tangrams

Ratios

Page 18: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

Write the ratio as a fraction in simplest form. 12 apples to 8 oranges

(over Lesson 6-1)

A.

B.

C.

D.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 19: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

Write the ratio as a fraction in simplest form. 30 chocolate candies to 100 candies

(over Lesson 6-1)

A.

B.

C.

D.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 20: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

Write the rate as a unit rate. 8 rolls for $1.76

(over Lesson 6-1)

A.

B.

C.

D.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 21: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

Write the rate as a unit rate. 325 miles in 5 hours

(over Lesson 6-1)

A.

B.

C.

D.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 22: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

Write the rate as a unit rate. 200 words in 5 minutes

(over Lesson 6-1)

A.

B.

C.

D.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 23: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent

1. A

2. B

3. C

4. D

Adam has 52 pennies and Stephen has 130 pennies. Write the ratio of Adam’s pennies to Stephen’s pennies as a fraction in simplest form.

(over Lesson 6-1)

A.

B.

C.

D.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

Page 24: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent