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Fractions

Teacher

Ser

ies

D

Series D – Fractions

Copyright ©

Series Author:

Nicola Herringer

Contents

Student book answers _____________________ 1

Assessment ______________________________ 4

Student progress record ____________________ 10

Assessment answers _______________________ 11

Objectives _______________________________ 12

1Series D AnswersCopyright © 3P Learning


Page 1

a

b

c

d

e Students should cut strips and place them in paper bag.

Page 2

Observe students.

Pages 3–4

1a

b

c

2a

b

c

3a

b

c

d

4a

5, 10

b

4, 12

5a 12

b 1 out of 2; 12

c 2 out of 4; 24

d 5 out of 8; 58

e 2 out of 4; 24

f 7 out of 8; 78

6a

b 2

c 28

Pages 5–7

1a 2 out of 8; 28

b 3 out of 4; 34

c 6 out of 8; 68

d 5 out of 7; 57

2a

b

c

d

3b

c

4

6

5a

b

6a 6

b 10

c 6

7a 6

b 12

c 6

Pages 8–10

1a 38

b 24

c 58

d 48

e They are both the same as 12 .

2a

b

c

d



Pages 8–10

2e

f

3a 18 , 4

8 , 34 , 7

8

b 14 , 1

2 , 58 , 7

8

4a 14 , 3

4

b 18 , 3

8 , 58 , 7

8

c They are the same.

5

6

Pages 11–12

What to doObserve students.

Pages 13–14

1a 410

b 45

c 15

2a

b

c

d

2e

f

3a

b

4

5

6a

b

c

Pages 15–16

1 quarters; eighths; fifths; tenths

2

3a

b

3c

d

4 310, 2

5 , 710, 4

5 , 910

5a

b

c

d

6

Page 17

1a 23

b 25

c 58

d 910

e 45

f 66

2a 25

b 38

c 16

d 510

e 25

f 0



Page 18

1 34

2 38 ; 5

8

3 610

4 16

5 26

6 5

7 10

4Series D Topic 1 AssessmentCopyright © 3P Learning

a b c a b c

a b c

Fractions Name __________________

Shade these fractions:

Label these fractions:

Show the following fractions:

Skills Not yet Kind of Got it

• Represents common fractions on different models

• Interprets the numerator and denominator of a fraction

1

2

3

4

Colour half of each shape:

a 3 out of 8 b 1 out of 4 c 2 out of 4

a b c 3 2 7

5 5 10


5

6

7

8

Fractions Name __________________

Use the diagrams to find the fractions of different numbers:

a

14 of 24 =

b 13 of 18 =

c 18 of 16 =

What fraction of each group has a ring around it?


• Finds fractions of a collection of objects

• Finds a fraction of a whole number

a b

Put a ring around the following:

a 12 of the circles

b 14 of the flowers

Find these amounts in these problems:.

a 13 of all the kids in my class wear a watch. How many wear a watch if there are 24 kids in my class?

b Ben made 30 cookies and gave 12 away to his friends. How many

did he give away?


Fractions Name __________________

Match the equivalent fractions in the top row with the fractions underneath by drawing a line to connect them:


• Orders halves, quarters and eighths

• Finds equivalence between halves, quarters and eighths

9

10

11

Label this fraction wall:

1 whole

Put these fractions in order from smallest to largest:

a 58 3

4 38 1

2

b 48 8

8 68 1

4

68

14

12

24

34

28


Label these models as fractions and as decimals:

Complete this number line showing equivalent tenths and decimals:

Shade the fraction strips so that each one matches the fraction or decimal:

a 710

b 0.4

c 0.8

Types of fractions Name __________________

1

2

3

0 1

10 10 10 10

0.1

a Fraction Decimal

c Fraction Decimal

b Fraction Decimal

d Fraction Decimal


Types of fractions Name __________________

Write the number of hundredths shown on each grid as a fraction and a decimal:


• Uses decimal notation for tenths and hundredths

• Finds equivalence between tenths and decimals

• Finds equivalence between hundredths and decimals

4

5

Shade the number of hundredths on each grid:

a

Fraction Decimal

b

Fraction Decimal

c

Fraction Decimal

a

15100

b

42100

c

56100


Adding and subtracting Name __________________fractions

a 26 + 3

6 = b 710 + 2

10 = c 58 + 2

8 =

a 35 – 2

5 = b 34 – 2

4 = c 23 – 1

3 =

Add these fractions with the same denominators:1

Subtract these fractions with the same denominators:

Solve these fraction word problems:

a Three friends split a bag of sweets fairly. What fraction of the bag does each of them take?

b It’s a hot day. Frank drinks 18 of a jug of juice; Mary drinks 2

8 of it.

What fraction of the jug of juice is left?

c A Eurostar train carriage contains 40 English and French passengers. Three quarters of the passengers are English.

How many passengers are French?

2

3


• Adds fractions with the same denominator

• Subtracts fractions with the same denominator

• Solve fraction word problems

10Series D Student Progress RecordCopyright © 3P Learning

Series D – Fractions – Student Progress Record

Series D – Fractions – Student Progress Record

Name _______________________________________________ Class _____________ Date _____________

Name _______________________________________________ Class _____________ Date _____________

What went well: ________________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

What I need to improve: __________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

What went well: ________________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

What I need to improve: __________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

_______________________________________________________________________________________________

11Series D Assessment AnswersCopyright © 3P Learning


ASSESSMENT ANSWERSPages 4–6

1 Shading may vary. Sample answers:

a

b

c

2a

b

c

3a 25

b 35

c 610

4a

b

c

5 Answers may vary. Sample answers:

a

b

6a 49

b 712

7a 6

b 6

c 2

8a 8

b 15

9

10a

b

11

Pages 7–8

1a

b

c

2

3a 310 ; 0.3

b 210 ; 0.2

c 110 ; 0.1

d 510 ; 0.5

4a

b

c

5a 25100 ; 0.25

b 39100 ; 0.39

c 85100 ; 0.85

Page 9

1a 56

b 910

c 78

2a 15

b 14

c 13

3a 13

b 58

c 10

12Series D ObjectivesCopyright © 3P Learning


Topic Reference Strand Substrand Objective

Fractions 3F1b Number FractionsRecognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators.

Fractions 3F1c Number FractionsRecognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.

Fractions 3F3 Number FractionsCompare and order unit fractions, and fractions with the same denominators.

Types of Fractions

3F1a Number FractionsCount up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing 1-digit numbers or quantities by 10.

Types of Fractions

3F2 Number FractionsRecognise and show, using diagrams, equivalent fractions with small denominators.

Adding and Subtracting Fractions

3F4 Number FractionsAdd and subtract fractions with the same denominator

within one whole (e.g. 57 + 1

7 = 67 ).

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