Name 11-111... · 2010-09-13 · answer in simplest form. Y ou may use fraction strips to help. 1. _1 8 ... Enrichment 11-1 Enrichment 11-1 7 8 2 8 1 4 6 8 4 8 1 2 5 8 3 8 1 9 0 1

$Page 1: Name 11-111... · 2010-09-13 · answer in simplest form. Y ou may use fraction strips to help. 1. _1 8 ... Enrichment 11-1 Enrichment 11-1 7 8 2 8 1 4 6 8 4 8 1 2 5 8 3 8 1 9 0 1$
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Topic 11 13

Center A

ctivity 8-4

Daily Spiral Review

11-1

1. Which is an equivalent fraction to 3 _ 7 ?A 8

__ 14 B 6

__ 14 C 5

__ 14 D 2

_ 7

2. Derek has 164 marbles. He gave 65 to his sister. How many marbles does he have left? A 89B 90C 99D 109

3. What is the mixed number for 8 _ 3 ?A 1 2 _ 3 B 2 2 _ 3 C 3 2 _ 3 D 4 2 _ 3

4. Place these fractions in order from least to greatest. Explain how you decided.1 _ 4 ,

1 __ 12 ,

1 _ 2 ,

1 __ 10 ,

1 _ 6 ,

1 _ 3

5. Write 5 __ 25 in simplest form.

6. There are 4 computer labs at a school. Each computer lab holds 15 computers. How many computers are in all the computer labs at the school altogether?

Daily Spiral Review 11-1

Nat_AncTopic_11.indb 13 1/31/08 1:31:36 PM

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Topic 11 13

Center A

ctivity 8-4

Daily Spiral Review

11-1

1. Which is an equivalent fraction to 3 _ 7 ?A 8

__ 14 B 6

__ 14 C 5

__ 14 D 2

_ 7

2. Derek has 164 marbles. He gave 65 to his sister. How many marbles does he have left? A 89B 90C 99D 109

3. What is the mixed number for 8 _ 3 ?A 1 2 _ 3 B 2 2 _ 3 C 3 2 _ 3 D 4 2 _ 3

4. Place these fractions in order from least to greatest. Explain how you decided.1 _ 4 ,

1 __ 12 ,

1 _ 2 ,

1 __ 10 ,

1 _ 6 ,

1 _ 3

5. Write 5 __ 25 in simplest form.

6. There are 4 computer labs at a school. Each computer lab holds 15 computers. How many computers are in all the computer labs at the school altogether?


There are 60 computers in all.

1 __ 12 ,

1 __ 10 ,

1 _ 6 ,

1 _ 4 ,

1 _ 3 ,

1 _ 2 ; When

the numerators are the same, the fraction with the lowest denominator is greater.

1 _ 5


© Pearson Education, Inc. 4

14

Topic 11

Problem of the Day 11-1

11-1Problem of the DayTell which operation is needed to solve the problem.

Judy spent $19 on books. Eric spent $22 on a book and a calendar. Dara spent $12 on a CD. How much money did they spend altogether?

Problem of the Day

11-1


Nat_AncTopic_11.indb 14

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Topic 11 15

Answer the questions below.

1. What is 1 _ 4 ! 3 _ 4 ?

A 1 _ 4

B 1 _ 2

C 3 _ 4

D 1

2. What is 5 _ 8 " 3 _ 8 in simplest form?

A 1 _ 4

B 1 _ 6

C 2 _ 4

D 1 _ 8

3. Writing to Explain Ethan used 3 _ 7 cup of white rice and 4 _ 7 cup of brown rice. How much rice did Ethan use in all?Draw fraction strips to show your answer.

Quick Check

11-1

Quick C

heck 11-1


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Topic 11 15

Answer the questions below.

1. What is 1 _ 4 ! 3 _ 4 ?

A 1 _ 4

B 1 _ 2

C 3 _ 4

D 1

2. What is 5 _ 8 " 3 _ 8 in simplest form?

A 1 _ 4

B 1 _ 6

C 2 _ 4

D 1 _ 8

3. Writing to Explain Ethan used 3 _ 7 cup of white rice and 4 _ 7 cup of brown rice. How much rice did Ethan use in all?Draw fraction strips to show your answer.

Quick Check

11-1

Quick C

heck 11-1

See student samples to the right.


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16 Topic 11

Qui

ck C

heck

11-1

Reteaching

11-1Adding and Subtracting Fractions with Like Denominators

Example 1 Example 2

1 _ 9 9 __

18 ! 2 _

9 " 6 __

18

3 _ 9 # 1 _ 3 Rewrite 3 _ 9 as 1 _ 3 3 _ 18 # 1 _ 6

Write 3 _ 18 in simplest form.

Add or subtract fractions and write answers in simplest form.

1. 1 _ 4 ! 1 _ 4 2. 2

_ 3 " 1 _ 3 3. 2 __ 14 ! 5 __ 14 4. 3 __ 11 " 1 __ 11 5. 4 __ 22 ! 5 __ 22

6. 5 _ 6 7. 3 __ 10 8. 9 __ 16 9. 3 __ 12 10. 11 __ 25

" 2 _ 6 ! 3 __ 10 " 3 __ 16 ! 6 __ 12 " 6 __ 25

11. At lunch, Alice ate 3 _ 8 of her sandwich. Later, for a snack, she ate another 3 _ 8 of the sandwich. How much of the sandwich did Alice eat?

The denominators arethe same, so you canadd the numerators.

Rete

achi

ng 11-1

3318

16

3


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16 Topic 11

Qui

ck C

heck

11-1

Reteaching

11-1Adding and Subtracting Fractions with Like Denominators

Example 1 Example 2

1 _ 9 9 __

18 ! 2 _

9 " 6 __

18

3 _ 9 # 1 _ 3 Rewrite 3 _ 9 as 1 _ 3 3 _ 18 # 1 _ 6

Write 3 _ 18 in simplest form.

Add or subtract fractions and write answers in simplest form.

1. 1 _ 4 ! 1 _ 4 2. 2

_ 3 " 1 _ 3 3. 2 __ 14 ! 5 __ 14 4. 3 __ 11 " 1 __ 11 5. 4 __ 22 ! 5 __ 22

6. 5 _ 6 7. 3 __ 10 8. 9 __ 16 9. 3 __ 12 10. 11 __ 25

" 2 _ 6 ! 3 __ 10 " 3 __ 16 ! 6 __ 12 " 6 __ 25

11. At lunch, Alice ate 3 _ 8 of her sandwich. Later, for a snack, she ate another 3 _ 8 of the sandwich. How much of the sandwich did Alice eat?

The denominators arethe same, so you canadd the numerators.

Rete

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ng 11-1

3318

16

3

1 _ 2 1 _ 3 1 _ 2 2 __ 11

1 _ 2 3 _ 5 3 _ 4 1 _ 5

3 _ 4 of the sandwich

3 _ 8

9 __ 22


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Topic 11 17

Reteaching 11-1

Practice

11-1Adding and Subtracting Fractions with Like DenominatorsFor 1 through 15, add or subtract the fractions and write the answer in simplest form. You may use fraction strips to help.

1. 1 _ 8 ! 3 _ 8 " 2. 8 __ 10 ! 1 __ 10 " 3. 1 _ 3 ! 1 _ 3 "

4. 3 _ 8 5. 1 _ 9 6. 3 _ 6 ! 3 _ 8 ! 4 _ 9 ! 2 _ 6

7. 9 __ 12 # 2 __ 12 " 8. 4 _ 8 # 2 _ 8 " 9. 6 __ 10 # 1 __ 10 "

10. 5 _ 8 11. 7 __ 10 12. 8 __ 10 # 2 _ 8 # 1 __ 10 # 4 __ 10

13. 1 _ 6 14. 1 _ 7 15. 1 _ 4 ! 2 _ 6 ! 1 _ 7 ! 1 _ 4

16. Jacob is making a stew. The stew calls for 3 _ 8 cup of rice. If he doubles the recipe, how much rice will he need? Write your answer in simplest form.

17. Which of the following fractions is not an equivalent fraction to 1 _ 3 ?

A 3 _ 9 B 2 _ 6 C 3 _ 6 D 4 __ 12

18. Writing to Explain Gerry folded 3 _ 8 of the pile of shirts. Molly folded 1 _ 8 of the pile of shirts. Together, did they fold more than half the shirts? Explain your answer.

Practice 11-1


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Topic 11 17

Reteaching 11-1

Practice

11-1Adding and Subtracting Fractions with Like DenominatorsFor 1 through 15, add or subtract the fractions and write the answer in simplest form. You may use fraction strips to help.

1. 1 _ 8 ! 3 _ 8 " 2. 8 __ 10 ! 1 __ 10 " 3. 1 _ 3 ! 1 _ 3 "

4. 3 _ 8 5. 1 _ 9 6. 3 _ 6 ! 3 _ 8 ! 4 _ 9 ! 2 _ 6

7. 9 __ 12 # 2 __ 12 " 8. 4 _ 8 # 2 _ 8 " 9. 6 __ 10 # 1 __ 10 "

10. 5 _ 8 11. 7 __ 10 12. 8 __ 10 # 2 _ 8 # 1 __ 10 # 4 __ 10

13. 1 _ 6 14. 1 _ 7 15. 1 _ 4 ! 2 _ 6 ! 1 _ 7 ! 1 _ 4

16. Jacob is making a stew. The stew calls for 3 _ 8 cup of rice. If he doubles the recipe, how much rice will he need? Write your answer in simplest form.

17. Which of the following fractions is not an equivalent fraction to 1 _ 3 ?

A 3 _ 9 B 2 _ 6 C 3 _ 6 D 4 __ 12

18. Writing to Explain Gerry folded 3 _ 8 of the pile of shirts. Molly folded 1 _ 8 of the pile of shirts. Together, did they fold more than half the shirts? Explain your answer.

Practice 11-1

3 _ 4 cup

No. They folded exactly one half of the shirts. 3 _ 8 ! 1 _ 8 " 4 _ 8 , which simplified is 1 _ 2 .

1 _ 2 9 __ 10 2 _ 3

7 __ 12 1 _ 4 1 _ 2

3 _ 8 3 _ 5 2 _ 5

1 _ 2 2 _ 7 1 _ 2

3 _ 4 5 _ 9 5 _ 6


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18 Topic 11

Prac

tice 11-1

Boxes of FractionsComplete each fraction box. Start with the fraction in the circle and add or subtract the fraction in the inner box to get the fraction in each outer corner.

Write your answers in simplest form.

One subtraction in Exercise 1 has been completed for you.

1. 2.

3. 4.

Enrichment

11-1En

richm

ent 1

1-1

78

28

14

68

48

12

58

38

190

130

150

1110 11

101

70

1112

152

122

142

1112

56

36

16

16

36

12

Reasoning


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18 Topic 11

Prac

tice 11-1

Boxes of FractionsComplete each fraction box. Start with the fraction in the circle and add or subtract the fraction in the inner box to get the fraction in each outer corner.

Write your answers in simplest form.

One subtraction in Exercise 1 has been completed for you.

1. 2.

3. 4.

Enrichment

11-1En

richm

ent 1

1-1

78

28

14

68

48

12

58

38

190

130

150

1110 11

101

70

1112

152

122

142

1112

56

36

16

16

36

12

Reasoning

13 ___ 8 ! 1 5 __ 8 4 ___ 10 ! 2 __ 5

" 3 __ 8 10 ___ 8 !

1 2 __ 8 ! 1 1 __ 4

" 6 ___ 10

! 2 ___ 10 " 2 ___ 10

9 ___ 12 ! 3 __ 4

" 6 ___ 12

"0

7 ___ 12

8 __ 6 ! 4 __ 3 !

1 1 __ 3 " 4 __ 6

" 2 __ 6

6 __ 6 ! 1


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Topic 11 19

Daily Spiral Review

11-2

1. Add 4 __ 12 ! 7 __ 12 .A 8

__ 12 B 9

__ 12 C 10

__ 12 D 11

__ 12

2. Which unit of capacity is greater than quarts?A pintsB cupsC gallonsD feet

3. Round 831,653 to the nearest hundred thousand.A 700,000B 800,000C 850,000D 900,000

4. Compare. Use ", #, or $.2 _ 8 ! 1 _ 8 3 __ 16

5. Name the fraction of the circle that is shaded.

6. Find an equivalent fraction for 4 _ 7 .



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Topic 11 19

Daily Spiral Review

11-2

1. Add 4 __ 12 ! 7 __ 12 .A 8

__ 12 B 9

__ 12 C 10

__ 12 D 11

__ 12

2. Which unit of capacity is greater than quarts?A pintsB cupsC gallonsD feet

3. Round 831,653 to the nearest hundred thousand.A 700,000B 800,000C 850,000D 900,000

4. Compare. Use ", #, or $.2 _ 8 ! 1 _ 8 3 __ 16

5. Name the fraction of the circle that is shaded.

6. Find an equivalent fraction for 4 _ 7 .


>

2 _ 5

Sample answer: 8 __ 14



20

Topic 11

11-2Problem of the DayProblem

of the Day

11-2

Thomas, Jenny, and Graham are sharing a pizza cut into 8 equal slices. Thomas ate 2 __ 8 of the pizza, Jenny ate 1 __ 8 of the pizza, and Graham ate 3 __ 8 of the pizza. In simplest form, what fraction of the pizza is left?



1/31/08 1:31:45 PM

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Topic 11 21

Quick Check

11-2

1. Which is the answer to 1 _ 6 ! 2 _ 3 in simplest form?

A 1 _ 3

B 2 _ 3

C 1 _ 6

D 5 _ 6

2. Gerardo ate 1 _ 3 of a rice cake and 1 _ 4 of a granola bar. Which diagram shows how much he ate altogether?A

B

C

D

3. Writing to Explain Write a number sentence to show what the shaded parts of the circle graphs equal. Use fraction strips to help explain your answer.

+

Quick C

heck 11-2

13

14

13

14

14

14

14

14

112

112

112

112

112

112

112

13

14

1313

13

13

14

112

112

112

112

112

112

112

112

Rice cake

Total

Granola bar

Rice cake Granola bar



Total

Total

Total


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Topic 11 21

Quick Check

11-2

1. Which is the answer to 1 _ 6 ! 2 _ 3 in simplest form?

A 1 _ 3

B 2 _ 3

C 1 _ 6

D 5 _ 6

2. Gerardo ate 1 _ 3 of a rice cake and 1 _ 4 of a granola bar. Which diagram shows how much he ate altogether?A

B

C

D

3. Writing to Explain Write a number sentence to show what the shaded parts of the circle graphs equal. Use fraction strips to help explain your answer.

+

Quick C

heck 11-2

13

14

13

14

14

14

14

14

112

112

112

112

112

112

112

13

14

1313

13

13

14

112

112

112

112

112

112

112

112

Rice cake

Total

Granola bar




Total

Total

Total



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22 Topic 11

Reteaching

11-2Adding Fractions with Unlike DenominatorsWhen you add fractions with unlike denominators, you need to change the fractions to equivalent fractions so they have a common denominator.

Example 1 Hassan used 1 _ 4 of a bag of black potting soil and 2 _ 3 of a bag of soil with clay in his container garden. How much soil did he use altogether? Find 1 _ 4 ! 2 _ 3 .

Step 1 Rewrite the fractions using a Step 2 Add the new fractions.common denominator. Think: What Write the sum in simplest form.number has 4 and 3 as factors? 12

Hassan used 11 __ 12 of a bag of soil altogether.

Example 2 When one denominator is a factor of the other denominator, you have to rewrite only one of the fractions. Find 2 _ 3 ! 2 _ 9 .

Step 1 3 is a factor of 9, so rewrite Step 2 Add the new fractions. 2 _ 3 with a denominator of 9.

Write the answers in simplest form.

1. 3 _ 5 ! 1 __ 10 2. 1 _ 2 ! 1 _ 8 3. 1 _ 6 ! 2 _ 3 4. 7 __ 12 ! 1 _ 3 5. 1 _ 3 ! 2 _ 9

__________ __________ __________ __________ __________

6. 3 _ 8 ! 1 _ 4 7. 1 _ 4 ! 1 _ 6 8. 2 _ 5 ! 1 _ 2 9. 1 _ 3 ! 2 _ 5 10. 1 _ 2 ! 3 __ 10

__________ ___________ ___________ ___________ ___________

1 _ 4 " 3 __ 12

+ 2 _ 3 " 8 __ 12

11 __ 12

11 __ 12 is already in

simplest form.

2 _ 3 " 6 _ 9

+ 2 _ 9 " 2 _ 9

8 _ 9

8 _ 9 is already in

simplest form.

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ng 11-2

3 414 1

32

23 1

82

3 4

323

69

3


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22 Topic 11

Reteaching

11-2Adding Fractions with Unlike DenominatorsWhen you add fractions with unlike denominators, you need to change the fractions to equivalent fractions so they have a common denominator.

Example 1 Hassan used 1 _ 4 of a bag of black potting soil and 2 _ 3 of a bag of soil with clay in his container garden. How much soil did he use altogether? Find 1 _ 4 ! 2 _ 3 .

Step 1 Rewrite the fractions using a Step 2 Add the new fractions.common denominator. Think: What Write the sum in simplest form.number has 4 and 3 as factors? 12

Hassan used 11 __ 12 of a bag of soil altogether.

Example 2 When one denominator is a factor of the other denominator, you have to rewrite only one of the fractions. Find 2 _ 3 ! 2 _ 9 .

Step 1 3 is a factor of 9, so rewrite Step 2 Add the new fractions. 2 _ 3 with a denominator of 9.


1. 3 _ 5 ! 1 __ 10 2. 1 _ 2 ! 1 _ 8 3. 1 _ 6 ! 2 _ 3 4. 7 __ 12 ! 1 _ 3 5. 1 _ 3 ! 2 _ 9

__________ __________ __________ __________ __________

6. 3 _ 8 ! 1 _ 4 7. 1 _ 4 ! 1 _ 6 8. 2 _ 5 ! 1 _ 2 9. 1 _ 3 ! 2 _ 5 10. 1 _ 2 ! 3 __ 10

__________ ___________ ___________ ___________ ___________

1 _ 4 " 3 __ 12

+ 2 _ 3 " 8 __ 12

11 __ 12

11 __ 12 is already in

simplest form.

2 _ 3 " 6 _ 9

+ 2 _ 9 " 2 _ 9

8 _ 9

8 _ 9 is already in

simplest form.

Rete

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ng 11-2

3 414 1

32

23 1

82

3 4

323

69

3

7 __ 10 5 _ 8 5 _ 6 11 __ 12 5 _ 9

5 _ 8 5 __ 12 9 __ 10 11 __ 15 4 _ 5


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Topic 11 23

Practice

11-2Adding Fractions with Unlike DenominatorsWrite the answers in simplest form.

1. 1 _ 6 ! 1 _ 3 " 2. 1

_ 5 ! 1 __ 10 "

3. 1 _ 4 ! 1 _ 2 " 4. 2

_ 3 ! 1 _ 6 "

5. 1 _ 4 ! 2 _ 5 " 6. 1

_ 4 ! 1 _ 6 "

7. 2 _ 5 ! 1 _ 6 " 8. 1

_ 4 ! 5 _ 8 "

9. 5 __ 12 ! 1 _ 4 10. 1

_ 5 ! 3 __ 10 11. 2 _ 5 ! 1 _ 2 12. 1

__ 12 ! 2 _ 3

13. A recipe calls for 1 _ 4 cup of whole wheat flour and 1 _ 2 cup of white flour. How many cups of flour are needed in all?

14. Reasoning To trim a costume, you need 1 _ 2 yard of lace at the neck and 1 _ 6 yard for both wrists. How much lace is needed?

15. Algebra If n " 9 __ 14 , then n ! 2 _ 7 "

16. For the addition 1 _ 6 ! 2 _ 3 , which sum is NOT correct?

A 9 __ 12 B 5 _ 6 C 15 __ 18 D 20

__ 24

17. Writing to Explain What common denominator would you use to add 1 _ 3 ,

1 _ 4 , and 1 __ 12 ? Explain.

Practice 11-2


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Topic 11 23

Practice

11-2Adding Fractions with Unlike DenominatorsWrite the answers in simplest form.

1. 1 _ 6 ! 1 _ 3 " 2. 1

_ 5 ! 1 __ 10 "

3. 1 _ 4 ! 1 _ 2 " 4. 2

_ 3 ! 1 _ 6 "

5. 1 _ 4 ! 2 _ 5 " 6. 1

_ 4 ! 1 _ 6 "

7. 2 _ 5 ! 1 _ 6 " 8. 1

_ 4 ! 5 _ 8 "

9. 5 __ 12 ! 1 _ 4 10. 1

_ 5 ! 3 __ 10 11. 2 _ 5 ! 1 _ 2 12. 1

__ 12 ! 2 _ 3

13. A recipe calls for 1 _ 4 cup of whole wheat flour and 1 _ 2 cup of white flour. How many cups of flour are needed in all?

14. Reasoning To trim a costume, you need 1 _ 2 yard of lace at the neck and 1 _ 6 yard for both wrists. How much lace is needed?

15. Algebra If n " 9 __ 14 , then n ! 2 _ 7 "

16. For the addition 1 _ 6 ! 2 _ 3 , which sum is NOT correct?

A 9 __ 12 B 5 _ 6 C 15 __ 18 D 20

__ 24

17. Writing to Explain What common denominator would you use to add 1 _ 3 ,

1 _ 4 , and 1 __ 12 ? Explain.

Practice 11-2

12; it is the common denominator for all 3.

1 _ 2 3 __ 10

3 _ 4 5 _ 6

13 __ 20 5 __ 12

17 __ 30 7 _ 8

2 _ 3 1 _ 2 9 __ 10 3 _ 4

3 _ 4 of a cup

4 _ 6 or 2 _ 3 yard

13 __ 14


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24 Topic 11

Enrichment

11-2Animal RunnersCan you run as fast as a rabbit? The table shows the top speeds of some animals. The speeds are given in mph, or miles per hour.

1. Use the data in the table to make a bar graph.

Animal cheetah chicken elephant human lion rabbitSpeed (in mph) 70 9 25 28 50 35

2. Label the vertical line at the far left Animals. Write the names of the different animals on the lines to the left of the grid.

3. Label the horizontal line below the grid Speed (in Miles per Hour). Let each box on the grid stand for 10 mph. Starting at the left with 0, number the short horizontal lines.

4. Draw a bar to show the speed of each animal. Give the graph a title.

5. Can a human run as fast as any of these animals? Which one(s)?

____

____

____

____

____

______________

______________

______________

______________

______________

______________

Enric

hmen

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Data


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24 Topic 11

Enrichment

11-2Animal RunnersCan you run as fast as a rabbit? The table shows the top speeds of some animals. The speeds are given in mph, or miles per hour.

1. Use the data in the table to make a bar graph.

Animal cheetah chicken elephant human lion rabbitSpeed (in mph) 70 9 25 28 50 35

2. Label the vertical line at the far left Animals. Write the names of the different animals on the lines to the left of the grid.

3. Label the horizontal line below the grid Speed (in Miles per Hour). Let each box on the grid stand for 10 mph. Starting at the left with 0, number the short horizontal lines.

4. Draw a bar to show the speed of each animal. Give the graph a title.

5. Can a human run as fast as any of these animals? Which one(s)?

____

____

____

____

____

______________

______________

______________

______________

______________

______________

Enric

hmen

t 11-2

Data

CheetahChickenElephantHuman

Lion

Rabbit

Ani

mal

s

0 10 20 30 40 50 60 70 Speed (in Miles per Hour)

Chicken and elephant

Graph titles will vary.


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Topic 11 25

Daily Spiral Review

11-3

1. Which best describes the probability of water freezing when the temperature is below 32°F?A certainB likely C unlikelyD impossible

2. Why is 4,532 less than 4,541?A it has fewer onesB it has fewer tensC it has fewer hundredsD it has fewer thousands

3. Last year, 288 people saw the school play. This year, 91 more people saw the play. What is the best estimate of how many people saw the play this year?A 300 people B 400 people C 500 peopleD 600 people

4. The table below shows how many magazines four schools sold in a fundraiser. Which school sold the least number of magazines?

School Magazines

SoldLane School 1,569Jefferson School 1,539Washington School

1,505

Lincoln School 1,560

5. Kurt has 316 books. Jenna has 321 books. Dale has 99 books. How many books do they have altogether?

6. Mr. Silva has 8 boxes of drills at his store. Each box has 22 drills. How many drills does Mr. Silva have?



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Topic 11 25

Daily Spiral Review

11-3

1. Which best describes the probability of water freezing when the temperature is below 32°F?A certainB likely C unlikelyD impossible

2. Why is 4,532 less than 4,541?A it has fewer onesB it has fewer tensC it has fewer hundredsD it has fewer thousands

3. Last year, 288 people saw the school play. This year, 91 more people saw the play. What is the best estimate of how many people saw the play this year?A 300 people B 400 people C 500 peopleD 600 people

4. The table below shows how many magazines four schools sold in a fundraiser. Which school sold the least number of magazines?

School Magazines

SoldLane School 1,569Jefferson School 1,539Washington School

1,505

Lincoln School 1,560

5. Kurt has 316 books. Jenna has 321 books. Dale has 99 books. How many books do they have altogether?

6. Mr. Silva has 8 boxes of drills at his store. Each box has 22 drills. How many drills does Mr. Silva have?


Washington School

736

176



26

Topic 11

Problem of the DayProblem

of the Day

11-3

11-3

Ken found 12 periwinkle snails at the beach. Ken’s sister found twice as many periwinkle snails as Ken did. How many snails did Ken and his sister find altogether?



1/31/08 1:31:54 PM

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Topic 11 27

1. What is 2 _ 5 ! 1 __ 10 in simplest form?

A 1 ___ 10

B 2 ___ 10

C 3 ___ 10

D 3 ___ 15

Name

2. What is 5 __ 12 ! 1 _ 6 in simplest form?

A 4 ___ 12

B 1 __ 4

C 1 __ 2

D 2 __ 3

3. Writing to Explain Doug and Rob are sharing a pizza. Doug ate 1 _ 2 of the pizza. Rob ate 1 _ 4 of the pizza. How much more pizza did Doug eat than Rob? Draw fraction strips to show your answer.

Quick Check

11-3Q

uick Check 1

1-3


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Topic 11 27

1. What is 2 _ 5 ! 1 __ 10 in simplest form?

A 1 ___ 10

B 2 ___ 10

C 3 ___ 10

D 3 ___ 15

Name

2. What is 5 __ 12 ! 1 _ 6 in simplest form?

A 4 ___ 12

B 1 __ 4

C 1 __ 2

D 2 __ 3

3. Writing to Explain Doug and Rob are sharing a pizza. Doug ate 1 _ 2 of the pizza. Rob ate 1 _ 4 of the pizza. How much more pizza did Doug eat than Rob? Draw fraction strips to show your answer.

Quick Check

11-3Q

uick Check 1

1-3



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28 Topic 11

Reteaching

11-3Re

teac

hing

11-3

Subtracting Fractions with Unlike Denominators


1. 1 _ 3 ! 2 _ 9 2. 3 _ 5 ! 1 __ 10 3. 1 _ 2 ! 1 _ 8 4. 2 _ 3 ! 1 _ 6 5. 7 __ 12 ! 1 _ 3

6. 4 _ 5 7. 7 __ 15 8. 3 _ 4 9. 5 _ 8 10. 1 _ 2

! 2 __ 10 ! 2 _ 5 ! 3 __ 16 ! 1 _ 2 ! 1 _ 5

11. At the dance, Lyndi and Josh danced 3 _ 4 hour without stopping. This is 3 _ 8 hour more than Kecia and Les danced. How long did Kecia and Les dance?

When you subtract fractions with unlike denominators, you need to change them to equivalent fractions that have a common denominator.

Sylvie wanted to pick 3 _ 4 of the flowers in her garden. Because it started to rain, she was able to pick only 1 _ 3 of the flowers. What fraction of the flowers are left for Sylvie to pick?

Find 3 _ 4 ! 1 _ 3 .

Step 1 Rewrite the fractions using Step 2 Subtract the new fractions.a common denominator. Think: Write the difference in simplest form.What number has 4 and 3 asfactors? 12

Sylvie has 5 __ 12 of the flowers left to pick.

3 _ 4 " 9 __ 12

! 1 _ 3 " 4 __ 12

5 __ 12

5 __ 12 is already in simplest form.

3 _ 4

# 3

# 3" 9 __ 12 1 _ 3

# 4

# 4" 4 __ 12


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Reteaching

11-3Re

teac

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11-3

Subtracting Fractions with Unlike Denominators


1. 1 _ 3 ! 2 _ 9 2. 3 _ 5 ! 1 __ 10 3. 1 _ 2 ! 1 _ 8 4. 2 _ 3 ! 1 _ 6 5. 7 __ 12 ! 1 _ 3

6. 4 _ 5 7. 7 __ 15 8. 3 _ 4 9. 5 _ 8 10. 1 _ 2

! 2 __ 10 ! 2 _ 5 ! 3 __ 16 ! 1 _ 2 ! 1 _ 5

11. At the dance, Lyndi and Josh danced 3 _ 4 hour without stopping. This is 3 _ 8 hour more than Kecia and Les danced. How long did Kecia and Les dance?

When you subtract fractions with unlike denominators, you need to change them to equivalent fractions that have a common denominator.

Sylvie wanted to pick 3 _ 4 of the flowers in her garden. Because it started to rain, she was able to pick only 1 _ 3 of the flowers. What fraction of the flowers are left for Sylvie to pick?

Find 3 _ 4 ! 1 _ 3 .

Step 1 Rewrite the fractions using Step 2 Subtract the new fractions.a common denominator. Think: Write the difference in simplest form.What number has 4 and 3 asfactors? 12

Sylvie has 5 __ 12 of the flowers left to pick.

3 _ 4 " 9 __ 12

! 1 _ 3 " 4 __ 12

5 __ 12

5 __ 12 is already in simplest form.

3 _ 4

# 3

# 3" 9 __ 12 1 _ 3

# 4

# 4" 4 __ 12

1 _ 9 1 _ 2 3 _ 8 1 _ 2 1 _ 4

3 _ 5 1 __ 15 9 __ 16 1 _ 8 3 __ 10

3 _ 8 of an hour


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Topic 11 29

Practice

11-3

Practice 11-3

Subtracting Fractions with Unlike DenominatorsWrite the answers in simplest form.

1. 1 _ 2 ! 1 _ 8 2. 7 _ 8 ! 1 _ 2 3. 11 __ 15 ! 2 _ 5 4. 8 _ 9 ! 1 _ 3

5. 5 _ 6 ! 1 _ 4 6. 3 _ 4 ! 2 _ 5 7. 9 __ 16 ! 1 _ 8 8. 9 __ 10 ! 3 _ 4

9. 5 _ 8 10. 5 __ 12 11. 3 _ 4 12. 7 _ 8

! 3 __ 16 ! 1 _ 6 ! 1 _ 6 ! 1 _ 6

13. There was 7 _ 8 of a pizza left at 1:00. Then Lou ate 1 _ 4 of the original pizza. How much was left then?

A 5 __ 8 B 6 __ 8 C 7 __ 8 D 3 __ 4

14. Writing to Explain In what way is subtracting fractions with unlike denominators like adding fractions with unlike denominators?


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Topic 11 29

Practice

11-3Practice 1

1-3

Subtracting Fractions with Unlike DenominatorsWrite the answers in simplest form.

1. 1 _ 2 ! 1 _ 8 2. 7 _ 8 ! 1 _ 2 3. 11 __ 15 ! 2 _ 5 4. 8 _ 9 ! 1 _ 3

5. 5 _ 6 ! 1 _ 4 6. 3 _ 4 ! 2 _ 5 7. 9 __ 16 ! 1 _ 8 8. 9 __ 10 ! 3 _ 4

9. 5 _ 8 10. 5 __ 12 11. 3 _ 4 12. 7 _ 8

! 3 __ 16 ! 1 _ 6 ! 1 _ 6 ! 1 _ 6

13. There was 7 _ 8 of a pizza left at 1:00. Then Lou ate 1 _ 4 of the original pizza. How much was left then?

A 5 __ 8 B 6 __ 8 C 7 __ 8 D 3 __ 4

14. Writing to Explain In what way is subtracting fractions with unlike denominators like adding fractions with unlike denominators?

3 _ 8

3 _ 8 1 _ 3

5 _ 9

7 __ 12

7 __ 20

7 __ 16

3 __ 20

7 __ 16

1 _ 4

7 __ 12

17 __ 24

You have to rewrite the fractions using a common denominator.


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Enrichment

11-3En

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1-3

Fraction ActionWork from left to right. In each exercise, you can write a subtraction sentence, using ! and " . The first one has been done for you. Circle each completed equation.

1.

2.

3.

4.

5.

6.

7.

8.

Complete the subtraction square. Subtract across and down.

9. What number belongs in the circle?

8 __ 10 1 _ 2 ! 2 __ 10 " 3 __ 10 1 __ 20 9 __ 20

3 _ 4 ! 1 __ 12 " 8 __ 12 1 _ 4 2 _ 4 1 __ 12

1 _ 5 8 __ 25 14 __ 25 ! 1 _ 5 " " 9 __ 25 11

__ 25

3 _ 6 5 _ 6 ! 1 _ 3 " 3 _ 6 2 __ 12 5 _ 6

8 _ 9 ! 2 _ 3 " 2 _ 9 9 __ 12 3 _ 4 1 _ 9

3 _ 4 4 _ 8 7 __ 12 ! 1 _ 2 " 1 __ 12 2 _ 3

3 _ 5 7 __ 15 1 __ 15 11 __ 15 ! 1 _ 5 " 8 __ 15

9 __ 16 3 _ 8 3 _ 4 ! 2 _ 8 " 4 _ 8 8 __ 12

11 __ 12 1 _ 4

1 _ 3 1 __ 12

7 __ 12 2 __ 12 or 1 _ 6

Reasoning


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Enrichment

11-3En

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1-3

Fraction ActionWork from left to right. In each exercise, you can write a subtraction sentence, using ! and " . The first one has been done for you. Circle each completed equation.

1.

2.

3.

4.

5.

6.

7.

8.

Complete the subtraction square. Subtract across and down.

9. What number belongs in the circle?

8 __ 10 1 _ 2 ! 2 __ 10 " 3 __ 10 1 __ 20 9 __ 20

3 _ 4 ! 1 __ 12 " 8 __ 12 1 _ 4 2 _ 4 1 __ 12

1 _ 5 8 __ 25 14 __ 25 ! 1 _ 5 " " 9 __ 25 11

__ 25

3 _ 6 5 _ 6 ! 1 _ 3 " 3 _ 6 2 __ 12 5 _ 6

8 _ 9 ! 2 _ 3 " 2 _ 9 9 __ 12 3 _ 4 1 _ 9

3 _ 4 4 _ 8 7 __ 12 ! 1 _ 2 " 1 __ 12 2 _ 3

3 _ 5 7 __ 15 1 __ 15 11 __ 15 ! 1 _ 5 " 8 __ 15

9 __ 16 3 _ 8 3 _ 4 ! 2 _ 8 " 4 _ 8 8 __ 12

11 __ 12 1 _ 4

1 _ 3 1 __ 12

7 __ 12 2 __ 12 or 1 _ 6

Reasoning

8 __ 12 or 2 _ 3

3 __ 12 or 1 _ 4

5 __ 12 5 __ 12

! "

! "

! "

! "

! "

! "

! "


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Topic 11 31

Daily Spiral Review

11-4

1. How would you write the number modeled below in standard form?

A 348B 384 C 438D 834

2. Which number completes the number sentence below?

21 ! " (6 " 8)

A 6B 7C 14D 35

3. Choose a fraction to make the sentence true.

3 _ 5 #

A 4 __ 5

B 3 __ 6

C 4 __ 6

D 5 __ 6

4. The table below shows the population of 4 cities.

City PopulationHappy Valley 49,604Lakeside 50,104Stoneyville 49,984Rutherton 50,673

Write the numbers in order from greatest to least.

5. Hilda has 9 trading cards. Kevin has 14 more cards than Hilda. Tom has 3 fewer cards than Kevin. Write a number sentence to show how many cards Tom has.

6. Which is longer, 5 feet or 2 feet?



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Topic 11 31

Daily Spiral Review

11-4

1. How would you write the number modeled below in standard form?

A 348B 384 C 438D 834

2. Which number completes the number sentence below?

21 ! " (6 " 8)

A 6B 7C 14D 35

3. Choose a fraction to make the sentence true.

3 _ 5 #

A 4 __ 5

B 3 __ 6

C 4 __ 6

D 5 __ 6

4. The table below shows the population of 4 cities.

City PopulationHappy Valley 49,604Lakeside 50,104Stoneyville 49,984Rutherton 50,673

Write the numbers in order from greatest to least.

5. Hilda has 9 trading cards. Kevin has 14 more cards than Hilda. Tom has 3 fewer cards than Kevin. Write a number sentence to show how many cards Tom has.

6. Which is longer, 5 feet or 2 feet?


50,673; 50,104; 49,984; 49,604

9 ! 14 " 3 # 20

5 feet



32

Topic 11

Problem of the DayProblem

of the Day

11-4

11-4

Terry has a bag of flour that is 2 __ 3 full. If she uses 3 __ 5 of it to bake bread, how much of the bag of flour is left?



1/31/08 1:32:01 PM

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Name Quick Check

11-4Q

uick Check 1

1-4

1. Betty mixed 1 _ 6 pound of peanuts with 1 _ 3 pound of raisins. How much did Betty have in all?

A 1 __ 4 pound

B 1 __ 3 pound

C 1 __ 2 pound

D 1 pound

2. Jill did aerobics for 3 _ 5 hour and then lifted weights for 1 _ 3 hour. How much exercise did Jill get?

A 14 ___ 15 hour

B 4 __ 5 hour

C 2 __ 5 hour

D 1 __ 5 hour

3. Writing to Explain Matt jogged 1 _ 2 of a mile. Thomas jogged 5 _ 8 of a mile. How much farther did Thomas jog? Draw a picture and write an equation to solve.


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Topic 11 33

Name Quick Check

11-4Q

uick Check 1

1-4

1. Betty mixed 1 _ 6 pound of peanuts with 1 _ 3 pound of raisins. How much did Betty have in all?

A 1 __ 4 pound

B 1 __ 3 pound

C 1 __ 2 pound

D 1 pound

2. Jill did aerobics for 3 _ 5 hour and then lifted weights for 1 _ 3 hour. How much exercise did Jill get?

A 14 ___ 15 hour

B 4 __ 5 hour

C 2 __ 5 hour

D 1 __ 5 hour

3. Writing to Explain Matt jogged 1 _ 2 of a mile. Thomas jogged 5 _ 8 of a mile. How much farther did Thomas jog? Draw a picture and write an equation to solve.



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34 Topic 11

Reteaching

11-4Problem Solving:Draw a Picture and Write an Equation

Solve. Remember to simplify your answer.

1. Joel walked 2 _ 5 of a mile to the store, 3 __ 10 of a mile to the library, and 1 __ 20 of a mile to the post office. How far did he walk?

2. Number Sense Glenda wrote 1 _ 7 of her paper on Monday, 1 __ 14 of her paper on Tuesday, and 2 __ 28 of her paper on Wednesday. She said she wrote more than half of her paper. Is she correct? Why or why not?

Rete

achi

ng 11-4

Understand Pippa ! lled 1 _ 8 of a jar with blue stones, 1 _ 4 of the jar with yellow stones, and 1 _ 2 of the jar with purple stones. How much of the jar is ! lled altogether?

What do I know? Pippa ! lled 1 _ 8 , 1 _ 4 , and 1 _ 2 of the jar.

What am I asked to ! nd? How much of the jar is ! lled with stones altogether.

Plan Find the common denominator between 1 _ 8 , 1 _ 4 , and 1 _ 2 so you can

add the fractions. 1 _ 8 ! 1 _ 8

8 is divisible by 2, 4, and 8, so 1 _ 4 ! 2 _ 8 8 is the common denominator. 1 _ 2 ! 4 _ 8

Solve Now add the fractions and simplify if you need to.

1 _ 8

2 _ 8 Pippa ! lled the jar 7 _ 8 full of stones.

" 4 _ 8

7 _ 8

Look Back I found the common denominator, changed the fractions to equivalent fractions, and added the numerators to ! nd the answer.


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34 Topic 11

Reteaching

11-4Problem Solving:Draw a Picture and Write an Equation

Solve. Remember to simplify your answer.

1. Joel walked 2 _ 5 of a mile to the store, 3 __ 10 of a mile to the library, and 1 __ 20 of a mile to the post office. How far did he walk?

2. Number Sense Glenda wrote 1 _ 7 of her paper on Monday, 1 __ 14 of her paper on Tuesday, and 2 __ 28 of her paper on Wednesday. She said she wrote more than half of her paper. Is she correct? Why or why not?

Rete

achi

ng 11-4

Understand Pippa ! lled 1 _ 8 of a jar with blue stones, 1 _ 4 of the jar with yellow stones, and 1 _ 2 of the jar with purple stones. How much of the jar is ! lled altogether?

What do I know? Pippa ! lled 1 _ 8 , 1 _ 4 , and 1 _ 2 of the jar.

What am I asked to ! nd? How much of the jar is ! lled with stones altogether.

Plan Find the common denominator between 1 _ 8 , 1 _ 4 , and 1 _ 2 so you can

add the fractions. 1 _ 8 ! 1 _ 8

8 is divisible by 2, 4, and 8, so 1 _ 4 ! 2 _ 8 8 is the common denominator. 1 _ 2 ! 4 _ 8

Solve Now add the fractions and simplify if you need to.

1 _ 8

2 _ 8 Pippa ! lled the jar 7 _ 8 full of stones.

" 4 _ 8

7 _ 8

Look Back I found the common denominator, changed the fractions to equivalent fractions, and added the numerators to ! nd the answer.

No. She has only written 2 _ 7 of her paper, which is less than half.

3 _ 4 mile


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Topic 11 35

Practice

11-4

Practice 11-4

Problem Solving:Draw a Picture and Write an Equation 1. Jamie bought 5 _ 8 pound of wheat flour. He also bought 1 _ 4 pound of white flour.

How much flour did he buy?

2. Katie is 3 _ 5 of the way to Brianna’s house. Larry is 7 __ 10 of the way to Brianna’s house. How much closer to Brianna’s house is Larry?

3. Nina practiced the trumpet for 5 _ 9 hour. Santiago practiced the trumpet for 2 _ 3 hour. How much longer did Santiago practice than Nina?

4. Ned caught 1 _ 3 pound of fish. Sarah caught 5 __ 12 pound of fish. Jessa caught 1 _ 6 pound of fish. Which bar diagram shows how to find how many pounds of fish they caught altogether?

A

B

5. Writing to Explain John added the numerators of several fractions with unlike denominators. What should John have done first?

? pounds in all

? pounds in all13

512

16

26

26

16

? pounds in all3

125

126

12

? pounds in all1

121

125

12

C

D


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Topic 11 35

Practice

11-4Practice 1

1-4

Problem Solving:Draw a Picture and Write an Equation 1. Jamie bought 5 _ 8 pound of wheat flour. He also bought 1 _ 4 pound of white flour.

How much flour did he buy?

2. Katie is 3 _ 5 of the way to Brianna’s house. Larry is 7 __ 10 of the way to Brianna’s house. How much closer to Brianna’s house is Larry?

3. Nina practiced the trumpet for 5 _ 9 hour. Santiago practiced the trumpet for 2 _ 3 hour. How much longer did Santiago practice than Nina?

4. Ned caught 1 _ 3 pound of fish. Sarah caught 5 __ 12 pound of fish. Jessa caught 1 _ 6 pound of fish. Which bar diagram shows how to find how many pounds of fish they caught altogether?

A

B

5. Writing to Explain John added the numerators of several fractions with unlike denominators. What should John have done first?

? pounds in all

? pounds in all13

512

16

26

26

16

? pounds in all3

125

126

12

? pounds in all1

121

125

12

C

D

7 _ 8 pound

1 _ 9 hour more

1 __ 10 of the way

Find equivalent fractions with like denominators.


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Enrichment

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1-4

Crazy QuiltThe plan at the right is for a quilt that the fourth grade is making.Use the clues below to color or label the different squares.

Clue A 1 __ 16 of the quilt is colored

yellow. It is in the center.

Clue B 28 __ 64 of the quilt is purple.

It does not touch the blue part.

Clue C 12 __ 64 of the quilt is blue.

It goes around the yellow section.

Clue D The green section ofthe quilt takes up all the remainingsquares. Write a fraction that tellsabout the green section.

Create Your Own Plan a quilt using the grid on the right. Keep it a secret! Write some clues using fractions and give it to a classmate to solve.

Clue 1.

Clue 2.

Clue 3.

Clue 4.

Reasoning


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Enrichment

11-4En

richm

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1-4

Crazy QuiltThe plan at the right is for a quilt that the fourth grade is making.Use the clues below to color or label the different squares.

Clue A 1 __ 16 of the quilt is colored

yellow. It is in the center.

Clue B 28 __ 64 of the quilt is purple.

It does not touch the blue part.

Clue C 12 __ 64 of the quilt is blue.

It goes around the yellow section.

Clue D The green section ofthe quilt takes up all the remainingsquares. Write a fraction that tellsabout the green section.

Create Your Own Plan a quilt using the grid on the right. Keep it a secret! Write some clues using fractions and give it to a classmate to solve.

Clue 1.

Clue 2.

Clue 3.

Clue 4.

Reasoning

Answers will vary. Make sure all clues contain fractions. Check students’ methods.

PGBY

20 __ 64 or 5 __ 16


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Topic 11 37

1. The new fitness center is 2 __ 8 of a mile wide. The parking lot is 3 __ 8 of a mile wide. What is the combined width of the fitness center and the parking lot? (11-1)

1 1 __ 8 1 __ 8 1 __ 8 1 __ 8 1 __ 8

A 4 __ 8 mile

B 5 __ 8 mile

C 4 ___ 10 mile

D 2 __ 8 mile

2. Christopher has 7 __ 9 yard of track for his model train. His sister Gabi borrows 4 __ 9 yard of track. How much train track does Christopher have remaining? (11-1)

A 11 ___ 9 yard

B 1 __ 3 yard

C 3 __ 4 yard

D 4 __ 3 yard

3. What is 5 __ 8 ! 1 __ 4 ? (11-2)

A 1 __ 4

B 3 __ 8

C 5 __ 8

D 7 __ 8

4. Ms. Levitt put a 1 __ 3 pound box on a scale and a 5 __ 6 pound rock on the same scale. Which picture model shows how to find how much Ms. Levitt’s scale will read? (11-4)

A 1 __ 3

5 __ 6 ?

B 1 __ 3

5 __ 6 5 __ 6 ?

C 5 __ 6

1 __ 3 ?

D ?

1 __ 3 5 __ 6

Topic 11 Multiple-Choice

Test

Topic 11

Multiple-C

hoice Test

Mark the best answer.

1 __ 9 1 __ 9 1 __ 9 1 __ 9 1

1 __ 9 1 __ 9 1 __ 9


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Topic 11 37

1. The new fitness center is 2 __ 8 of a mile wide. The parking lot is 3 __ 8 of a mile wide. What is the combined width of the fitness center and the parking lot? (11-1)

1 1 __ 8 1 __ 8 1 __ 8 1 __ 8 1 __ 8

A 4 __ 8 mile

B 5 __ 8 mile

C 4 ___ 10 mile

D 2 __ 8 mile

2. Christopher has 7 __ 9 yard of track for his model train. His sister Gabi borrows 4 __ 9 yard of track. How much train track does Christopher have remaining? (11-1)

A 11 ___ 9 yard

B 1 __ 3 yard

C 3 __ 4 yard

D 4 __ 3 yard

3. What is 5 __ 8 ! 1 __ 4 ? (11-2)

A 1 __ 4

B 3 __ 8

C 5 __ 8

D 7 __ 8

4. Ms. Levitt put a 1 __ 3 pound box on a scale and a 5 __ 6 pound rock on the same scale. Which picture model shows how to find how much Ms. Levitt’s scale will read? (11-4)

A 1 __ 3

5 __ 6 ?

B 1 __ 3

5 __ 6 5 __ 6 ?

C 5 __ 6

1 __ 3 ?

D ?

1 __ 3 5 __ 6

Topic 11 Multiple-Choice

Test

Topic 11

Multiple-C

hoice Test

Mark the best answer.

1 __ 9 1 __ 9 1 __ 9 1 __ 9 1

1 __ 9 1 __ 9 1 __ 9


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Topic 11Free-Response Test

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Free

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Write answers in simplest form.

1. 5 __ 6 ! 1 __ 6

2. 7 __ 9 " 5 __ 9

3. 2 __ 8 ! 5 __ 8

4. 3 __ 4 " 2 __ 4

5. 1 __ 5 ! 3 __ 5

6. 5 ___ 12 ! 3 ___ 12

7. 3 __ 4 " 1 __ 4

8. 11 ___ 14 " 3 ___ 14

Solve.

9. Leo has seeded 9 __ 10 of his yard. His neighbor Joy has a yard that is the same size. She has seeded 7 __ 10 of her yard. How much more has Leo seeded? What operation should you use to solve this problem?

10. 1 __ 5 ! 2 __ 3

11. 5 ___ 12 ! 1 __ 4

12. 3 __ 4 ! 1 __ 6

13. 2 __ 5 ! 1 __ 4

14. 3 __ 8 ! 1 __ 2

Give each answer.


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Topic 11Free-Response Test

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Free

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Write answers in simplest form.

1. 5 __ 6 ! 1 __ 6

2. 7 __ 9 " 5 __ 9

3. 2 __ 8 ! 5 __ 8

4. 3 __ 4 " 2 __ 4

5. 1 __ 5 ! 3 __ 5

6. 5 ___ 12 ! 3 ___ 12

7. 3 __ 4 " 1 __ 4

8. 11 ___ 14 " 3 ___ 14

Solve.

9. Leo has seeded 9 __ 10 of his yard. His neighbor Joy has a yard that is the same size. She has seeded 7 __ 10 of her yard. How much more has Leo seeded? What operation should you use to solve this problem?

10. 1 __ 5 ! 2 __ 3

11. 5 ___ 12 ! 1 __ 4

12. 3 __ 4 ! 1 __ 6

13. 2 __ 5 ! 1 __ 4

14. 3 __ 8 ! 1 __ 2

Give each answer.

1

2 __ 9

7 __ 8

1 __ 4

4 __ 5

2 __ 3

1 __ 2

4 __ 7

Subtraction; Leo has seeded 1 __ 5 more.

13 ___ 15

2 __ 3

11 ___ 12

13 ___ 20

7 __ 8


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Topic 11Performance Assessment

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Gabe needs to bake 2 different loaves of bread for tomorrow’s school bake sale. He has 4 1 _ 2 cups of milk and 5 1 _ 4 cups of flour. He can bake several different types of bread.

Bread Cups of Milk Cups of FlourBanana 3 1 _ 4 3 1 _ 2

Walnut 1 3 _ 4 3 1 _ 4

Pumpkin 1 1 _ 2 4 1 _ 2

Cranberry 2 3 _ 4 2 3 _ 4

Apple 1 1 _ 4 6 1 _ 4

Blueberry 1 3 _ 4 4 1 _ 4

1. Pick two breads. Find how much flour and milk Gabe needs to bake those two breads.

2. Does Gabe have enough flour? If so, how much will be left? If not, how much does he need?

3. Does Gabe have enough milk? If so, how much will be left? If not, how much does he need?

4. Explain how the steps you use to find the amount of flour left are different from the steps you use to find the amount of flour Gabe needs to buy.


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Topic 11Performance Assessment

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Gabe needs to bake 2 different loaves of bread for tomorrow’s school bake sale. He has 4 1 _ 2 cups of milk and 5 1 _ 4 cups of flour. He can bake several different types of bread.

Bread Cups of Milk Cups of FlourBanana 3 1 _ 4 3 1 _ 2

Walnut 1 3 _ 4 3 1 _ 4

Pumpkin 1 1 _ 2 4 1 _ 2

Cranberry 2 3 _ 4 2 3 _ 4

Apple 1 1 _ 4 6 1 _ 4

Blueberry 1 3 _ 4 4 1 _ 4

1. Pick two breads. Find how much flour and milk Gabe needs to bake those two breads.

2. Does Gabe have enough flour? If so, how much will be left? If not, how much does he need?

3. Does Gabe have enough milk? If so, how much will be left? If not, how much does he need?

4. Explain how the steps you use to find the amount of flour left are different from the steps you use to find the amount of flour Gabe needs to buy.

Gabe will bake a loaf of cranberry bread and a loaf of apple bread. He needs 9 cups of flour and 4 cups of milk to bake these loaves.

Gabe does not have enough flour. He needs 3 3 _ 4 cups more.

Gabe has enough milk. He will have 1 _ 2 cup left over.

Subtract the cups of flour Gabe needs from the cups of flour he has to find out how much flour will be left over. Subtract the cups of flour Gabe has from the cups of flour he needs to find out how much flour Gabe must buy.


Documents

Name 11-111... · 2010-09-13 · answer in simplest form. Y ou may use fraction strips to help. 1. _1 8 ... Enrichment 11-1 Enrichment 11-1 7 8 2 8 1 4 6 8 4 8 1 2 5 8 3 8 1 9 0 1