answer key • lesson 7: workshop:...

TG • Grade 3 • Unit 9 • Lesson 7 • Answer Key 1

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Answer Key • Lesson 7: Workshop: Fractions

Showing FractionsUse fraction circle pieces and Writing Numbers in Words from theStudent Guide Reference section as you answer the questions.

Self-Check: Question 11. A. Two aquas is what fraction of a pink?

number words

B. Shade 2�3 of the fraction strip and label 2�3 on the number line.

Use the menu and the Self-Check questions to choose practice withshowing fraction with model, words, and symbols.

0 10 1

Show fractions usingobjects, area models,and drawings.

Locate fractions ona number line.

Use words and numbers to name fractions.

Can I Do This?

Working On It! Getting It! Got It!I could usesome extrahelp.

I just need some more practice.

I’m readyfor achallenge.

Q# 2–8, 10, 13–14, 17

Q# 4–12,15–17

Q# 7–9,12, 15–18

orking On It!W Getting It!orking On It! Got It!

Can I Do This?

Locate fractions on

and drawings.ea models,objects, ar

Show fractions using

orking On It!

.

Q# 2–8,

helpe emso

d uluoI cW

Can I Do This?

ea models,Show fractions using

Getting It!

a.

Q# 4–12,

ceitcaprrae re momsod eet nsI ju

xtre esed u

orking On It! Got It!

.

Q# 7–9,

egenllhac arfo

ydeam r’I

fractions.numbers to name

ds and Use wor

a number line.Locate fractions on

10, 13–14, 17 Q# 2–8,

numbers to name

Locate fractions on15–17

Q# 4–12,10, 13–14, 17

Q# 2–8, 12, 15–18

Q# 7–9,

Name Date

Workshop: Fractions SAB • Grade 3 • Unit 9 • Lesson 7 369

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Student Activity Book - Page 369

2. Look at the shapes and then fill in the blanks.

A. equal-size parts.

Each part is of the whole.

B. equal-size parts.


C. equal-size parts.


D.

equal-size parts.


E. equal-size parts.


Name Date

SAB • Grade 3 • Unit 9 • Lesson 7 Workshop: Fractions370

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Student Activity Book

Showing Fractions (SG pp. 369–376)Questions 1–18

1. A. 1–3 , one-thirdB.

2. A. 4; 1–4B. 3; 1–3C. 3; 1–3D. 8; 1–8E. 2; 1–2

0 1

2–3

2 TG • Grade 3 • Unit 9 • Lesson 7 • Answer Key

3. A. 5–8B. 2–8

4. A.

B.

5.

6.

7. Shapes A, B, E, F, H, and I should be circled.

0 1

5–6

0 1

5–8

3. Luis has a collection of marbles.

A. What fraction of the marbles are white?

B. What fraction are black?

4. A. Jackie made brownies for the B. Color 2�3 of Jackie’s pan ofbake sale. Color 5�6 of Jackie’s brownies.pan of brownies.

5. Shade 5�6 of the fraction strip and label5�6 on the number line.

6. Shade 5�8 of the fraction strip and label5�8 on the number line.

0 1

0 1

Name Date


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7. Draw a circle around the shapes that show two-fourths of theshape shaded in.

A. B.

C. D.

E. F.

G. H.

I.

J.



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8. The shape in Question 7C does not show 2–4because the parts are not equal. The area that isshaded is equal to 2–4 of the circle though.

9. The shape in Question 7F shows 4–8 and2–4 . It

depends on how the shape is partitioned. If theshape is partitioned into fourths rather thaneighths 2–4 is shaded.

10. 211. 4

12. 9



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8. Did you draw a circle around the shape in Question 7C? Why orwhy not?

9. Moe thinks the shape in Question 7F shows 4�8 but not2�4 . Do you

agree with Moe? Why or why not?

10. If 8 counters are a whole set, how many are in one-fourth of a set?

11. If 12 counters are a whole set, how many are in 1�3 of a set? Draw apicture to show how you decided.

12. If 12 counters are a whole set, how many are in 3�4 of a set? Draw apicture to show how you decided.

Student Activity Book - 73

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Name Date


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Show the fraction in each box below in four other ways. The red circleis the unit whole.

number

words

0 1

drawing

13.

number

words

0 1

drawing

one whole fraction strip

one whole fraction strip

14.

five-eighths

2—3

2—3

5—8

two-thirds

5—8



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number

words

0 1

drawingone whole fraction strip

number

words

0 1


15.

16.

7—8

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3—6

3—6

three-sixths

seven-eight

7—8




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2—3

2—3

two-thirds

1—4

one and one-fourth

number

words

0 1


number

words

10 2

drawingone whole fraction stripone whole fraction strip

17.

18.

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1

1—41




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Fraction ConceptsSelf-Check: Question 1

1. Sam ate 1�3 of the cake.

Ben ate 1�2 of the leftover cake.

Who ate the most cake? Show or tell how you decided.

Use the menu and the Self-Check question to choose practice withpartitioning fractions.

whole cake

l

whole cake

leftover cakeleftover cake

Partition shapes by agiven unit fraction.

Show the unit wholefrom a fractional part.

Can I Do This?

Working On It! Getting It! Got It!I could usesome extrahelp.

I just need some more practice.

I’m readyfor achallenge.

Q# 2, 4, 9, 10A, 11A, 12A

Q# 6, 8,10B–C, 11A–B,

12A–B

Q# 8, 10C–D,11B–C, 12B–C

Show that fractional parts of a unit maybe different shapesbut must be the same size.

Show that the samesize fractional partsof different size unitwholes are not equal.

Q# 2–5,9 Q# 7–8 Q# 7–8

Can I Do This?

Partition shapes by a

l

orking On It!

.helpe emsouoI c

W

Can I Do This?

Partition shapes by a

Getting It!

. .ceitcapre re momsod eet nsI ju

axtrrae esed ulu

orking On It! Got It!

.egenllhac arfo

ydeam r’I

ent shapesferbe difparts of a unit mayShow that fractional

om a fractional part.frShow the unit whole

given unit fraction.Partition shapes by a

ent shapesparts of a unit mayShow that fractional

10A, 11A, 12A Q# 2, 4, 9,

om a fractional part.Show the unit whole

given unit fraction.Partition shapes by a

12A–B10B–C, 11A–B,

Q# 6, 8,10A, 11A, 12A

Q# 2, 4, 9, 11B–C, 12B–C Q# 8, 10C–D,

10B–C, 11A–B,

e not equal.wholes arent size unitferof dif

size fractional partsShow that the same

same size.but must be the

Q# 2–5,9

e not equal.ent size unit

size fractional partsShow that the same

but must be the

Q# 7–8 Q# 2–5,9 Q# 7–8

Name Date


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2. What fraction circle pieces will you use to cover 1�2 of each piecebelow?A. B.

C. D.

3. When are halves different sizes?

4. What fraction circle pieces will cover 1�4 of each piece below?

5. When are fourths different sizes?

PkR

Or

P

Y

PkR

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Student Activity Book

Fraction Concepts (SAB pp. 377–384)Questions 1–121. Sam and Ben ate the same amount of cake.Possible responses: I used the fraction circlepieces. 1–3 of the pink piece is the aqua pieceleaving an orange piece. 1–2 of an orange pieceis an aqua piece.

2. A. pinkB. yellowC. blueD. aqua

3. Halves are different sizes when the wholes aredifferent sizes.

4. 1–4 of the red circle is a yellow piece and1–4 of

the pink piece is the blue piece.5. Fourths are different sizes when the wholes aredifferent sizes.



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6. A. Roberto shared a large taco equally with his three brothers.Divide the taco into fourths.

B. Here is a picture of a cake. Divide the cake into eighths.

C. Ana’s family ate 3�4 of a pie. Color 3�4 of the pie.

D. Luis’s family ate 3�4 of a leftover pie.Color 3�4 of the leftover pie below.

7. Look at Questions 6C and 6D. Which family ate more pie? Show ortell how you decided.

Name Date


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8. A. Mr. Martin asked Ming and Irmato show 3�4 on this rectangle.Show 3�4 on this rectangle.

Here is how Ming showed 3�4 .

Here is how Irma showed 3�4 .

B. Who showed 3�4 on the rectangle—Ming or Irma? How do youknow?

C. Why did Ming and Irma both say that 1�4 is 4 boxes?

D. Is Ming’s 3�4 the same size as Irma’s 3�4 ?

E. Is Ming’s 3�4 the same shape as Irma’s 3�4 ?

There are 16 boxes, which is 8 � 2. will be 4 boxes. I will shade 4 boxes 3 times.1–4

Ming

1–4 is

There are 16 boxes. 16 � 4 = 4. is 4 boxes. is 3 � 4 boxes = 12 boxes 1–43–4

Irma

1–4is

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6. A.

B. Drawing may vary. Two possible responsesare:

C.

D.

7. Ana’s family ate more pie.

Ana’s family pie Luis’s family pie8. A.

B. They both showed 3–4 of the rectangle.C. To partition 16 boxes into 4 equal parts, 1–4looks like 4 boxes.

D. YesE. No

or


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9. Professor Peabody drew fractions of shapes. For each shape drawwhat the whole shape could look like. Use the fraction circle pieces.A.

B.

C.

1—3

1—3

1—3

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10. Draw a picture to show each whole.A. Jason is building a patio. Here is a picture of 1�2 of the patio.

B. Professor Peabody drew 1�6 of a shape.

- C. Here is a picture of Ming’s birthday cake after a party. One-fourth was eaten.

D. Here is a picture of 2�3 of the students in the class. How manystudents are in the whole class?

1—2

1—6

Name Date


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9. A.

B.

C.

10. A.

B. Drawings may vary. One possible response:

C.

D. 18;

1–3

1–31–3

1–3

1–3

1–3

1–31–31–3

1–2

1–6


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11. Cover the unit whole with the circle pieces as shown in each drawing.For each number, write the color of the piece and fraction of the unitwhole.

A. The unit whole is the red circle.

B. The unit whole is the pink piece.

C. The unit whole is the shape below.

1

2

3

5

6

4

Color Fraction

1.

2.

3.

4.

5.

6.

1

2 3

Color Fraction

1.

2.

3.

3

21

Color Fraction

1.

2.

3.

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12. For each drawing, give the fraction for each piece.

A.

B.

C.

1 23

4

1.

2.

3.

4.

13

52

4

1.

2.

3.

4.

5.

black

white

circled

gray

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11. A.

B.

C.

12. A. 1. 1–32. 1–33. 1–64. 1–6

B. 1. 1–162. 1–163. 1–84. 1–45. 1–2

C. black 2–24 or1–12

white 14–24 or7–12

circled 4–24 or1–6

gray 8–24 or1–3

Color Fraction

1. blue

2. blue

3. yellow

4. aqua

5. aqua

6. aqua

Fraction

1

1—81—81—41—61—61—6

Fraction

1

Fraction

1

Color Fraction

1. blue

1

1—41—41—2

2. blue

3. yellow

C Fraction

1

Fraction

1

Fraction

1

Color Fraction

1. orange 1—21—41—4

2. aqua

3. aqua

answer key • lesson 7: workshop:...

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