answer key • lesson 7: workshop: fraction...

Answer Key • Lesson 7: Workshop: Fraction Concepts

1 TG • Grade 5 • Unit 2 • Lesson 7 • Answer Key

Cop

yright © K

endall H

unt Pub

lishing Com

pany

Student Guide

Workshop: Fraction Concepts (SG pp. 80–81) Questions 1–8

1. A. 3–3 or 1B. 7–12

C. 4–62. A.* Possible response: 5 aqua pieces;

5 � 1–6 � 5–6 or 1–6 � 1–6 � 1–6 � 1–6 � 1–6 � 5–6B.* Possible response: 3 aqua pieces and

4 black pieces; 3–6 � 4–12 � 5–63.* Carla is incorrect. Possible explanation: 4–5 is

not equivalent to 5–6 because 4 green circlepieces do not cover the same amount of the redcircle as 5 aqua pieces.

4. A. 11–8B. 13–8

5. Point B6. A. 1–4

B. 6–8C. 6–12

7. Possible responses: 2–6 � 2–2 � 4–12 and 2–6 � 2–2 � 1–38. A. 3–4 � 7–8

B. Possible response: I looked on the Fractionson Number Lines Chart. 3–4 is closer to 0than 7–8 is. Also, if I multiply 3–4 by 2–2 , I get an equivalent fraction of 6–8 . 3–4 � 6–8 and

6–8 < 7–8 , so 3–4 < 7–8 .

Workshop: Fraction ConceptsCarla and Michael are playing Fraction Fill.

1. What fractions are represented in each circle on the game board?

A. Circle A

B. Circle B

C. Circle C

2. A. Michael spins 5�6 . Write a number sentence to show how he can represent5�6 with fraction circle pieces.

B. Show a different way to represent 5�6 with circle pieces using two or moredifferent colors. Write a number sentence that matches this representation.

3. Carla says, “I think 4�5 �5�6 because 4 is one less than 5 and 5 is one less than

6.” Do you agree or disagree? Why?

4. The eighths circle looks like this and Michael spins 6�8 . “Now I haveeleven eighths.”

A. Write eleven-eighths as animproper fraction.

B. Write eleven-eighths as a mixednumber.

5. Which point shows eleven-eighths on the number line?

Circle A

Circle C

Circle B

Fraction Fill 2 Game Boardill 2 Game Boardraction FF

cle ACir

ill 2 Game Board

cle BCirc

cle CCir

0 1 2 3A B C

80 SG • Grade 5 • Unit 2 • Lesson 7 Workshop: Fraction ConceptsC

opyright ©

Kend

all Hunt P

ublishing C

omp

any

Student Guide - Page 80

Miguel and Julia are playing Fraction Trails.

6. Part of Miguel’s Fraction Trails 3 Game Board is shown below, but the labelson the number lines are missing. Name the fraction each game marker is on.

A. blue

B. red

C. yellow

7. Julia spins 4�6 . She breaks 4�6 into 2�6 �2�6 . She wants to find an equivalent

fraction to use instead of 2�6 . Name two fractions equivalent to 2�6 and show ortell how you found them.

8. Miguel spins 3�4 . Julia spins 7�8 .

A. Write a number sentence using �, �, or � to compare the fractions.

B. Show or tell how you know your number sentence is true.

Use the Self-Check Questions and Menus on the Show and Compare Fractionspages of the Student Activity Book to choose problems that practice representing,identifying, and comparing fractions.

0 1

0 1

0 1

Miguel

0 1

0

0

1

1

Mig el

06

16

26

36

46

56

66

0 1

Julia

I can move two times on the sixths trail and get a point, but what should I do with the I have left?2—6

2—62—6

4—6 +=

= +6—4

6—2

6—2

60

61

0

t shohat wu, btt, binoa pimo te twvan moI c

62

63

64

6 66

6th the I ha 62 — v 2ild I do wut sho

d g anailn the sixths trrs oeim

65

66

1

t?fee lted g

ailuJ

Workshop: Fraction Concepts SG • Grade 5 • Unit 2 • Lesson 7 81

Cop

yrig

ht ©

Ken

dal

l Hun

t Pub

lishi

ng C

omp

any

Student Guide - Page 81

*Answers and/or discussion are included in the lesson.

TG • Grade 5 • Unit 2 • Lesson 7 • Answer Key 2


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y

Student Activity Book

Show and Compare Fractions (SAB pp. 61–88) Questions 1–46

1. improper fraction: 7–4 ; mixed number; 13–4 ;

2. A. 1–2B. 3–4C. 8–8 or 1

3. A.

B. Possible response:

0 1 2 3

BkBk

Bk

Bk

Bk Bk

Show and Compare FractionsShow, Write, and Draw Parts and Wholes

Self-Check: Questions 1–3

1. Show the fraction in five other ways.

2. If the shape below is the unit whole, write a fraction for each of the following.

A. one orange piece

B. three aqua pieces

C. eight black pieces

0 1 2 3

improper fraction

mixed number

words

seven-fourths

OOR

OR

Name Date

Workshop: Fraction Concepts SAB • Grade 5 • Unit 2 • Lesson 7 61

Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y

Student Activity Book - Page 61

3. Show the unit whole.

A. Here is 1�3 of a set of tiles. Draw the whole set.

B. Here is 3�6 of a design. Draw what the whole design could look like.

Use the Self-Check questions to choose practice with showing proper andimproper fractions and unit wholes.

Bk Bk

Bk

Can I Do This?

Workshop Menu

Working On It! Getting It! Got It!

Show and name proper and improper fractions.

Recognize that equal fractional parts of a whole are the same size.Show the unit whole if the fractional part is given.

Q# 4–6, 11–13, 18 Q# 5–8, 11–14, 18–19

Q# 9–20

Q# 21–22 Q# 21–23 Q# 22–26

I could usesome extrahelp.I just needsome morepractice.

I’m readyfor a challenge.

orkshop MenuW

orkshop Menu

Can I Do This?

fractions.oper oper and imprpr

Show and name

orking On It!

oper

W

Can I Do This?

orkshop MenuW

Q# 4–6, 11–13, 18

.help xtre emso ld uuoI c

Getting It!orking On It!

orkshop Menu

Q# 5–8, 11–14, Q# 4–6, 11–13, 18

arrase .eictcapra ere momso deet nsI ju

Got It!

Q# 9–20

.egenllhac a roff ydeam r’I

given.the fractional part is Show the unit whole if size.

e the same whole arfractional parts of a

gnize that equal Reco

the fractional part is Show the unit whole if

e the same fractional parts of a

gnize that equal

Q# 21–22

Q# 4–6, 11–13, 18

Q# 21–23

18–19 Q# 5–8, 11–14, Q# 4–6, 11–13, 18

Q# 22–26

Q# 9–20

Name Date

62 SAB • Grade 5 • Unit 2 • Lesson 7

Workshop: Fraction Concepts

Cop

yright © K

endall H

unt Pub

lishing Com

pany



Cop

yright © K

endall H

unt Pub

lishing Com

pany


4. Use fraction circle pieces to fill in the blanks.

A. The red circle is the unit whole. Cover it with 5 greens.

equal size parts

Each part is of the red circle.

2 greens are what part of the red circle?

Write a number sentence for two greens.

B. The red circle is the unit whole. Cover it with 10 purples.

equal size parts

Each part is of the red circle.

2 purples are what part of the red circle ?

4 purples are what part of the red circle?

C. The pink piece is the unit whole. Cover it with 6 blacks.

equal size parts

Each part is of the pink piece.

4 blacks are what part of the pink piece?

Write a number sentence for four blacks.

D. The pink piece is the unit whole. Cover it with 3 aquas.

equal size parts

Each part is of the pink circle.

2 aquas are what part of the pink piece?



Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


5. Look at the shapes and then fill in the blanks. For Questions 5A–D, the unitwhole is the shape shown by each question.

A. equal size parts

Each part is of the whole.

Shade 2�6 .

B. equal size parts


What fraction is shaded?

C. The circle is the unit whole.

equal size parts


What fraction is shaded?

D. Look at the outlined parts.

equal size parts.


Shade 3�4 .

Name Date

SAB • Grade 5 • Unit 2 • Lesson 7 Workshop: Fraction Concepts64

Cop

yright © K

endall H

unt Pub

lishing Com

pany


4. A. 5; 1–5 ; 2–5 ; 1–5 + 1–5 = 2–5B. 10; 1–10 ; 2–10 ; 4–10

C. 6; 1–6 ; 4–6 ; 1–6 + 1–6 + 1–6 + 1–6 = 4–6D. 3; 1–3 ; 2–3 ; 3–3 or 1; 5–3 or 12–3

5. A. 6; 1–6 ;

B. 8; 1–8 ; 5–8C. 4; 1–4 ; 7–4 or 13–4D. 4; 1–4 ;


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


For Questions 6–8, show the fraction in the box in five other ways. The circleis the unit whole.

number

words

10 2

drawingone wholeone whole

eight-fifths

one and six-eighths

number

words

10 2


6.

7.

number sentence

number sentence

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


9. Sylvia’s aunt gave Sylvia, Tina, and Juan the same size sandwich, but eachsandwich was cut into a different number of pieces. Use the clues below todecide how each sandwich was cut.

• Each child ate half of their sandwich.

• Sylvia ate 4 pieces.

• Tina’s sandwich was cut into two pieces.

• Juan ate 2 pieces.

A. Draw each sandwich to show how it was cut. Shade in the pieces thatwere eaten.

Sylvia’s sandwich Tina’s sandwich Juan’s sandwich

B. Write a number sentence to show the children ate the same amount ofsandwich.

= =

number

words

0 1 2 3

drawing

one wholeone whole one whole

8.

number sentence

Name Date



Cop

yright © K

endall H

unt Pub

lishing Com

pany


6.

7.

8.

9. A.

B. 4–8 = 1–2 = 2–4

number

words

10 2


eight-fifths

number sentence

8–5

1–5

8–5=8 �

one and six-eighths

number

words

10 2


number sentence

6–81

6–8

6–8= 1 1 �

number

words

0 1 2 3

drawing

one wholeone whole one whole

number sentence

nine-fourths

1–4 �

1–4 �

1–4 �

1–4 �

1–4 �

1–4 �

1–4 �

1–4 �

1–4

9–4�

9–4

Sylvia’s sandwich Tina’s sandwich Juan’s sandwich


Cop

yright © K

endall H

unt Pub

lishing Com

pany


10. Members of the baking club made 2 pans of brownies. Each group bakedone pan of brownies. Each group ate half their pan, sharing the half-panfairly.

For each problem:• Shade the half the group ate.• Show how they divided the half into equal shares.• Write a fraction for the part each person ate.

A. Jerome’s group had 8 members.

Each member ate of the whole pan.

B. Shelly’s group had 5 members.

Each member ate of the whole pan.

11. Shade 4�8 of each cake. Show a different way on each cake.

12. A. Maya and Natasha made a pan of lasagna. Divide the pan into twelve equal shares.

B. Natasha took 2�3 of the lasagnahome with her. Shade in 2�3 of thepan.

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


For Questions 13–15, cover the unit whole with the circle pieces as shown ineach drawing. For each color, write the fraction of the unit whole. Then write anumber sentence to match the drawing.

Example: The pink piece is the unit whole.

13. The pink piece is the unit whole.

AOr aqua

orange

1323

1–32–3

=+Number Sentence:

Color Fraction

1

yellow

aqua

black

Number Sentence:

Bk

AY

Color Fraction

Name Date


Cop

yright © K

endall H

unt Pub

lishing Com

pany


10. A. Each memberate 1–16 of thewhole pan.

B. Each memberate 1–10 of thewhole pan.

11. Possible responses:

12. A–B.

13.

Number sentence: 1–2 + 1–3 + 1–6 = 1

yellow

aqua

black

Color Fraction

C

1—21—31—6


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


14. The red circle is the unit whole.

15. The unit whole is two orange pieces.

orange

green

purple

black

Color Fraction

Number Sentence:

G

GOr

Bk

P P

orange

aqua

black

Number Sentence:

Color Fraction

Bk

BkOr

A

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y

Student Activity Book - 9

16. For each drawing, give the fraction of the large rectangle for each numberedpiece.

1

A.

B.

2

3

57

6

4

1.

2.

3.

4.

5.

6.

7.

1.

2.

3.

4.

5.

6.

1

2

3 45

6

Name Date


Cop

yright © K

endall H

unt Pub

lishing Com

pany


14.

Number sentence: 1–3 + 2–5 + 2–10 + 1–12 = 1

15.

Number sentence: 1–2 + 1–4 + 2–8 = 1

16. A.

B.

orange

green

purple

black

Color Fraction

1—32—52—101—12

orange

aqua

black

Color Fraction

1—21—42—8

1

2

3

57

6

4

1.

2.

3.

4.

5.

6.

7.

1—21—81—81—81—161—321—32

1.

2.

3.

4.

5.

6.

1

2

3 45

6

1—41—41—61—61—121—12


Cop

yright © K

endall H

unt Pub

lishing Com

pany


17. Make this shape with all one color.

A. What color did you use?

B. How many pieces?

C. If the shape above is the unit whole, write a fraction for the items below.

one yellow piece

one blue piece

one black piece

D. Write a number sentence for 4 blue pieces together.

E. Write a number sentence for 1 yellow and 1 blue together.

F. Write a number sentence for 3 yellows, 4 blues, and 3 blacks together.

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y

Student Activity Book - 1

18. Sonya frosted 12 cookies for the neighborhood picnic.

A. One cookie is what fraction of the set?

B. What fraction of the cookies is striped?

C. What fraction of the cookies has stars?

19. Ming brought three blueberry pies to share at the picnic. Ming’s uncle ate 2�3 ofone pie. Ming and his six cousins shared the rest of the pie equally.

A. How much pie was left at the picnic after Ming’s uncle had a piece?

B. How much of one whole pie did each cousin eat?

C. Write a number sentence to show how much pie was eaten altogether.

Name Date


Cop

yright © K

endall H

unt Pub

lishing Com

pany


17. A. Possible responses: yellow, blue, or blackB. Possible responses: 6 yellow, 12 blue, or

18 blackC. 1–6

1–121–18

D. 1–12 + 1–12 + 1–12 + 1–12 = 4–12 or 1–3 or 4 � 1–12 = 4–12 or 1–3E. 1–6 + 1–12 = 3–12 or 1–4F. 3–6 + 4–12 + 3–18 = 1

18. A. 1–12

B. 5–12

C. 3–12

19. A. 7–3B. 1–3C. 1–3 + 1–3 + 1–3 + 1–3 + 1–3 + 1–3 + 1–3 + 2–3 = 3


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


20. Michael brought a 24-ounce cherry cola and drank 1�2 of it. He divided the restequally into two cups for his sisters. His sister Maya drank only 1�3 of her cup of cola.

A. How many ounces of cola did Michael drink?

B. What fraction of the 24-ounce cola did each sister get in her cup?

C. How many ounces of cola did each sister get in her cup?

D. How many ounces of cola did Maya drink?

E. What fraction of the 24-ounce cola did Maya drink?

21. Use fraction circle pieces to find the unit wholes.

A. One orange piece covers 1�3 of which other piece?

B. One aqua piece covers 1�3 of which other piece?

C. One yellow piece covers 1�4 of which other piece?

D. One blue piece covers 1�4 of which other piece?

E. One purple piece covers 1�5 of which other piece?

F. One green piece covers 1�5 of which other piece?

G. Two orange pieces cover 2�3 of which other piece?

H. One orange piece covers 2�3 of which other piece?

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


22. Jason used tiles to build a shape. One-fourth of the shape is shown below.Draw what the whole shape could have been.

23. This is 3�4 of Mario’s cherries. Draw all of Mario’s cherries.

24. This is 2�5 of Meg’s design. Draw what the whole design could look like.

25. Molly and Frank each had a box of chocolates. They each ate 1�7 of theirboxes. Molly ate 2 pieces and Frank ate 4 pieces of chocolate. Draw eachchild’s whole box of chocolates. Cross out the pieces they ate.

Name Date


Cop

yright © K

endall H

unt Pub

lishing Com

pany


20. A. 12 ouncesB. 6–24 or 1–4C. 6 ouncesD. 2 ouncesE. 2–24 or 1–12

21. A. redB. pinkC. redD. pinkE. pinkF. redG. redH. pink

22. Possible response:

23.

24.

25.

Molly Frank


Cop

yright © K

endall H

unt Pub

lishing Com

pany


26. Fill in the blanks.

1 hour = minutes

1�2 hour = minutes 1�3 hour = minutes

1�4 hour = minutes 3�4 hour = minutes

1 foot = inches

1�2 foot = inches 1�3 foot = inches

1�4 foot = inches 3�4 foot = inches

1 yard = inches

1�2 yard = inches 1�3 yard = inches

1�4 yard = inches 3�4 yard = inches

1 dozen eggs = eggs

1�3 dozen eggs = eggs 1�4 dozen eggs = eggs

1�6 dozen eggs = eggs 3�4 dozen eggs = eggs

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


Greater Than, Less Than, or Equal To


27. Find equivalent fractions to make each number sentence true.

A. B.

C. D.

E. Show or tell how you solved Question 27D. Describe any tools you used.

28. Write �, �, or � to make each number sentence true.

A.7�2

7�12 B. 4�56�10

C. 5�56�5 D. 5�12

1�8E. Show or tell how you solved Question 28D. Describe any tools you used.

Use the Self-Check questions and the menu to choose practice with findingequivalent fractions and comparing fractions.

3–5

=6 12——

16= ———

4

1–3

= ———12

1–2

———40

=

Can I Do This?

Workshop Menu

Working On It! Getting It! Got It!

Find equivalent fractions.

Compare fractions.

Q# 29–33 Q# 31–33 Q# 31, 33–34

Q# 35–36, 42 Q# 35–36, 38–39, 42

Q# 37–42

I could usesome extrahelp.I just needsome morepractice.

I’m readyfor a challenge.Can I Do This?

orking On It!W

Can I Do This?

orkshop MenuW

ld uuoI cGetting It!orking On It!

orkshop Menu

seld u deet nsI juGot It!

ydeam r’ICan I Do This?

e fractions.Compar

fractions.Find equivalent

Can I Do This?

e fractions. Q# 35–36, 42

Q# 29–33

.help xtre emso ld uuoI c

38–39, 42 Q# 35–36, Q# 35–36, 42

Q# 31–33

axtrseld u.eictcapr ere momso deet nsI ju

Q# 37–42

Q# 31, 33–34

.egenllhac a roff ydeam rI

Name Date



Cop

yright © K

endall H

unt Pub

lishing Com

pany


26. 1 hour = 60 minutes1–2 hour = 30 minutes 1–3 hour = 20 minutes1–4 hour = 15 minutes 3–4 hour = 45 minutes

1 foot = 12 inches1–2 foot = 6 inches 1–3 foot = 4 inches1–4 foot = 3 inches 3–4 foot = 9 inches

1 yard = 36 inches1–2 yard = 18 inches 1–3 yard = 12 inches1–4 yard = 9 inches 3–4 yard = 27 inches

1 dozen eggs = 12 eggs1–3 dozen = 4 eggs 1–4 dozen = 3 eggs1–6 dozen = 2 eggs 3–4 dozen = 9 eggs

27. A. 3–5 = 6–10 B. 12–16 = 3–4C. 20–40 = 1–2 D. 1–3 = 4–12

E. Responses will vary. Possible response: Ifound 1–3 on the thirds number line andfollowed a straight line down to 4–12 on thetwelfths number line.

28. A. 7–2 7–12 B. 4–5 6–10

C. 5–5 6–5 D. 5–121–8

E. Responses will vary. Possible response: Iknow 5–12 is almost 6–12 or 1–2 and 1–8 is much lessthan 4–8 , so 5–12 is greater than 1–8 .

>>

><


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


Use circles pieces, the Fractions on Number Lines Chart in the Student GuideReference section, or drawings to complete Questions 29–30.

29. For each problem, shade the fractions shown to find equivalent fractions.

A.

B.

C.

D.

E.

3–4

3 � ———————4 �

=

=

———12

———12

— =

— =

— =

— =

—

=

2 � ———————5 �

= ———10

— =

— =

— =

2–5

= ———10

—

=

— =

— =

— =

8 � ————————12 �

= ———6

8——12

= ———6

—

=

— =

6 � ———————4 �

= ———12

— =

— =

6——4

= ———12

———4

= ———12

1 1

1

improper

mixednumber

i

—

=

— =

— =

10 � ————————6 �

= ———3

— =

10——6

= ———3

———6

= ———3

1 1

improper

mixednumber

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


29. A.

B.

C.

D.

E.

— =

6 � ———————4 �

= ———12

—

— =

6——4

= ———12

———4

= ———12

1 1

1

18

62

183

3

— =

— =

10 � ————————6 �

= ———3

— =

10——6

= ———3

———6

= ———3

1 1

i

5

24

52

2

=

— =

— =

—

8 � ————————12 �

= ———6

8——12

= ———6

442

2

=

2 � ———————5 �

= ———10

— =

—

— =

2–5

= ———10

442

2

3–4

3 � ———————4 �

=

=

———12

———12

— =

— =

—

— =

993

3


Cop

yright © K

endall H

unt Pub

lishing Com

pany


30. Label the number lines. Then use them to find equivalent fractions.

A.

B.

C.

D.

4 � ———————5 �

= ———10

0

0

1

1

4 � ————————12 �

= ———6

0

0

1

1

1 � ———————3 �

= ———12

0

0

1

1

12 � ————————8 �

= ———2

0

0

1

1

2

2

Name Date



Cop

yright © K

endall H

unt Pub

lishing Com

pany


31. Use circle pieces, number lines, or multiplication and division strategies tofind two equivalent fractions for each fraction given.

A. 3�4 � � B. 1�3 � �

C. 2�3 � � D. 8�12 � �

E. Show or tell how you solved Question 31D.

32. Multiply or divide to find equivalent fractions.

A. B.

C. D.

E. F.

G. H.

3 � 3————6 � 3

= ———1 � 2————5 � 2

= ———

1 � ———————4 �

= 4——16

7 � ———————8 �

= 14——16

— =

=3 � 3—————12 � 3

——— � 2 ———————

� 2 = 8——

10

— =

— =

20 � ————————10 �

= 10———5

=8 � 4—————12 � 4

———

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


30. A.

B.

C.

D.

31. Equivalent fractions may vary. Possibleresponses given for 31A–E.

A. 3–4 = 6–8 = 9–12B. 1–3 = 2–6 = 3–9

C. 2–3 = 4–6 = 6–9 D. 8–12 = 4–6 = 2–3E. Possible response: I started with 8–12 and

divided the numerator and the denominatorby 2 to get 4–6 . Then I did that again to find 2–3 .

32. A. 2–10 B. 9–18

C. 2–2 D. 4–4E. 4–5 F. 1–4G. 2–3 H. 2–2

0 1

0 1

0

— =

4 � ————————12 �

= ———6

— =

— =

2

2

2

0—121—12

2—123—12

4—125—12

6—127—12

8—129—12

10—1211—12

12—12

0—61—6

2—63—6

4—65—6

6—6

0 1

0 1

0

— =

— =

1 � ———————3 �

= ———12

— =

4

4 4

0—121—12

2—123—12

4—125—12

6—127—12

8—129—12

10—1211—12

12—12

0—31—3

2—33—3

0 2

0 2

4— =

— =

— =

12 � ————————8 �

= ———2

4 3

4

0—8

0—2

2—84—8

6—88—8

2—21—2

3—24—2

10—812—8

14—816—8

1—83—8

5—87—8

9—811—8

13—815—8

1

1

4 � ———————5 �

= ———10

— =

— =

— =

2

0 1

10

2

8

0—5

0—101—10

2—103—10

4—105—10

6—107—10

8—109—10

10—10

1—52—5

3—54—5

5—5


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


33. Use circle pieces, number lines, or a different strategy to determine if thefractions are equivalent. Circle the pairs that are equivalent.

A. 3�5 � 6�10 B. 2�4 �

7�12 C. 5�6 � 11�12

D. 3�2 � 6�4 E. 1

1�5 �6�5 F. 3�12 �

2�3

G. Show or tell how you solved Question 33F.

34. Find the fractions that make each sentence true.

A. B.

C. D.

E. F.

G. H.

I. Choose one problem from Questions 34E–H. Show or tell how youknow that the number sentence is true.

4——11

= ———55

3——21

= ———14

8——24

3—9

= =18——9

=6

16——8

= 32——16

=9——12

———4

= =6—8

= 69——45

3——15

=12——14

= 6—7

=

Name Date



Cop

yright © K

endall H

unt Pub

lishing Com

pany


Use circles pieces, the Fractions on Number Lines Chart in the Student GuideReference section, drawings, or your own strategies to complete the followingquestions.

35. Sort the fractions below into the table.6�6 , 3 �

1�8 , 10 �1�3 ,

8�5 ,5�8 ,

5�6 ,1�3 ,

5�5 ,4�8 , 1 �

1�4 ,12�6 ,

5�10

Less Than 1 Equal to 1 Greater Than 1

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


33. A. B. 2–4 � 7–12 C. 5–6 � 11–12

D. E. F. 3–12 � 2–3G. Possible response: On a red circle, 3 black

pieces do not cover the same part of thecircle as 2 orange pieces.

34. A. 3–21 � –14

B. 4–11 � –55

C. 6– � 18–9D. Possible response:— � 3–9 � 8–24

E. 9–12 � 6–8 � –4F. Possible response: 16–8 � — � 32–16

G. Possible response:— � 12–14 � 6–7H. 3–15 � 9–45 � 6–I. Answers will vary.

35.

2

3

31

3

21

2118

30

20

Less Than 1 Equal to 1 Greater Than 1

3 � 1–8

1 � 1–4

10 � 1–35–8

5–612—6

4–85–10

1–3

, , , 5–56–6

, 8–5,,

, , ,

3–5 � 6–10

3–2 � 6–4 11–5 � 6–5


Cop

yright © K

endall H

unt Pub

lishing Com

pany


36. Use �, �, or � to make each sentence true.

A. 2�41�2 and

7�81�2 so

2�47�8

B. 5�81�2 and

2�61�2 so

5�82�6

C. 3�101�2 and

2�31�2 so

3�102�3

D. 5�81�3

E. 3�66�12

F. 2�52�3

G. 7�510�5

H. 3�22�3

37. Compare each pair of fractions. Circle the larger fraction.

A. 4�810�12 B. 3�12

6�18 C. 2�74�6

D. 2�35 �9 E. 44�45

12�25 F. 4�95�8

G. Show or tell how you decided which fraction is larger in Question 37F.

Name Date



Cop

yright © K

endall H

unt Pub

lishing Com

pany


38. Choose from the fractions in the box to answer the questions. Use eachfraction only once.

Which fraction is:

equal to 0?

near to 1�2 ?

equal to 1�2 ?

greater than 1?

near to 1, but less than 1?

greater than 1�2 , but less than5�6 ?

39. The Lee family went on a car trip. They stopped at Burger Boss forhamburgers. There were three sizes of burgers: 1�3 pound, 1�4 pound, and3�4 pound.

A. Mrs. Lee was very hungry and ordered the largest burger. What sizedid she order?

B. Jason ordered the smallest burger. What size burger did he order?

40. The family stopped at Pizza Palace for dinner. Each child ordered a 9-inchpizza. Michelle ate 1�2 of her pizza, Jason ate 3�4 of his pizza, and Kate ate 5�8 of her pizza.

A. Who ate the most pizza?

B. Who ate the least pizza?

C. One of the pizzas was cut into four pieces. Who ate two of the four pieces of that pizza?

8�1611�6

0�34�6

7�128�9

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


36. A. 2–4 1–2 and 7–8 1–2 so 2–4 7–8B. 5–8 1–2 and 2–6 1–2 so 5–8 2–6C. 3–10

1–2 and 2–3 1–2 so 3–102–3

D. 5–8 1–3E. 3–6 6–12

F. 2–5 2–3G. 7–5 10–5H. 3–2 2–3

37. These fractions are circled:A. 10–12

B. 6–18

C. 4–6D. 2–3E. 44–45

F. 5–8G. Possible response: 4–9 is less than 1–2 and 5–8 is

greater than 1–2 , so 5–8 is greater than 4–9 .

38. equal to 0: 0–3near to 1–2 : 7–12

equal to 1–2 : 8–16

greater than 1: 11–6near to 1, but less than 1: 8–9greater than 1–2 , but less than 5–6 : 4–6

39. A. 3–4 poundB. 1–4 pound

40. A. JasonB. MichelleC. Michelle

>

<

<><

>

�

<

><>

<>�


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


41. Michelle and Kate took turn reading a 24-page book aloud. Kate read 1�3of

the book. Michelle read 6 of the 24 pages.

A. Who read the most pages aloud?

B. How many pages of the book did Kate read?

C. Altogether, did the girls read greater than or less than 1�2the book

aloud? Show or tell how you know.

42. Mrs. Lee made some snack mix for the trip. Here is her recipe:

A. Does the snack mix contain less marshmallows or peanuts? How doyou know?

B. Which ingredient is closest to 1 cup?

C. Does the snack mix contain more cereal or pretzels? How do youknow?

D. Mrs. Lee used a 1�4 -cup scoop to measure the peanuts. She filled thescoop two times. Is that greater than or less than 2�3

cup? Write anumber sentence.

E. Does the snack mix recipe make closer to 7 cups or 8 cups of snackmix? Show or tell how you know.

1– 1–4

5–8 –4

2–

Sweet and Salty Snack Mix

Name Date


Cop

yright © K

endall H

unt Pub

lishing Com

pany


Write Number Sentences


43. Carla was playing Fraction Fill and she spun 3�4 . Write number sentences todescribe the circle pieces Carla could use to show 3�4

in at least 3 differentways. Use more than one color in at least one of your solutions.

44. Read the students’ thoughts about the fraction games below. Which studentare you most like? Why?

Josh Natasha

Chris

It helps to use circlepieces when I breakfractions like apartinto + . I will playFraction Fill 3.

1–21—12

7—12

I can find fractions on number lines, but breaking fractions apartlike = + is trickier. I will play Fraction Trails 3 and I will use the Fractions on Number Lines Chart to find equivalent fractions.

6–81–2

2–8

I am ready to findequivalent fractions andto break fractions likeinto + using numberlines. I will play FractionTrails 3.

2–61—3

4—6

hsJo2–1

iotcarF+toniiotcafrs wecpie

It helps t

12—7

12—1

. 3ln Filioyal plil I w.+rtaapeikns liokeahen I brs welce cirso uIt helps t

3o + u + u3

1 + u—6 + u1 + u62 + u–

.s 3ailrTiotcary Fal plil I w.seinlrmbeug nsin + u2tineikns liotcak freao brt

ns aniotcat frenlavequidino fy tdeaI am r

shaataN

6—4

nio

d

isChr

8e = + is tr = + is tr86 = + is tr–

carthe F = + is tr6ikl

inan fI c

8 = + is tr = + is tr82 = + is tr–2 = + is tr2 = + is tr2

1 = + is tr–s Chae Linrmben Nuns oiotc pllil I w.rr.kieci = + is tr1 lrmbeun nns oiotcad frin

t frenlavd equiino ft trs Chad I ws 3 anailrTn iotcary Faiotcag frkineat bru, bsein l

.nsiotcat frse ulild I wtrpans aio

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


41. A. KateB. 8 pagesC. greater than 1–2 ; Possible response:

6 � 8 � 14 and 14–24 is greater than 12–24 or 1–2 .42. A. peanuts; Possible response: I compared

2 orange pieces to 3 yellow pieces.2–3 � 3–4 , so there are more peanuts.

B. marshmallowC. cereal; both have 1 full cup, but 1–3 cup

cereal is more than 1–4 cup pretzels, so 11–3 ismore than 11–4 .

D. less than 2–3 ; 1–4 � 1–4 � 2–3E. closer to 8 cups; Responses will vary.

Possible response: 3 1–3 cups + 2–3 cup makes4 whole cups. 3 1–4 cups + 3–4 cup makesanother 4 whole cups, so that is 8 cups.Then there is 5–8 cups more.

43. Responses will vary.Possible responses: 1–2 + 1–4 � 3–4 ; 1–4 + 1–4 + 1–4 � 3–4 ;1–8 + 1–8 + 1–2 � 3–4 .

44. Answers will vary.


Cop

yright © K

endall H

unt Pub

lishing Com

pany


Check–In: Questions 45–46

45. Julia played Fraction Fill 3. Find an equivalent fraction for each of her spins.Draw a picture to represent that equivalent fraction. The red circle is the unitwhole.

E. Show or tell how you found an equivalent fraction in Question 45D.

Spin Equivalent Fraction Representation

A.1—3

B.4—6

C.6——

10

D.9——

12

———3

———8

3

Name Date


Cop

yrig

ht ©

Ken

dal

l Hun

t P

ublis

hing

Com

pan

y


Cop

yright © K

endall H

unt Pub

lishing Com

pany

46. Name the fraction.A. The pink circle is the unit whole.

mixed number improper fractionB.

mixed number improper fraction

B B

BPKPK

0 21 3

E1Represent and identify proper fractions using drawings and symbols. [Q# 45]

Expec-tation

Check In Comments

E1

Represent and identify improper and mixed number fractions using area models, number lines, and symbols. [Q# 46]

E2Recognize that equal fractional parts of a unit whole are the same size. [Q# 45A–D]

E4Find equivalent fractions. [Q# 45]

Workshop: Fraction ConceptsCheck-In: Q# 45–46

Feedback Box




45. Possible responses for A–E:A. 2–6

B. 2–3 ;

C. 3–5 ;

D. 6–8 ;

E. I looked at the Fractions on Number LinesChart and found 9–12. I followed a straightline up to 6–8 .

46. A. mixed number: 2 3–4 improper fraction: 11–4B. mixed number: 13–5 improper fraction: 8–5

answer key • lesson 7: workshop: fraction...

Documents