CAMBRIDGE PRIMARY

MATHEMATICS 0845

FRACTIONS

STAGE 3 (GRADE 2)

3Nn15 Understand and use fraction notation recognising that fractions are several parts of one whole, e.g.

3/4 is three quarters and 2/3 is two thirds

3Nn16 Recognise equivalence between 1/2, 2/4, 4/8 and 5/10 using diagrams

3Nn17 Recognise simple mixed fractions, e.g. 1 1/2 and 2 1/4

3Nn18 Order simple or mixed fractions on a number line ,e.g. using the knowledge that 1/2 comes half

way between 1/4 and 3/4 and that 1 1/2 comes half way between 1 and 2

3Nn19 Begin to relate finding fractions to division

3Nn20 Find halves, thirds, quarters and tenths of shapes and numbers (whole number answers)

My sincere thanks to :

Ms Preeti Kaushik,our art teacher for designing and editing this unit

Ms Shruti Verma for maintaining the blog

Mr Madan Saini for reviewing this unit

Suresh Goel

(Director)

Alliance World School

Noida , Delhi-NCR, India

Fractions P- 1 (Fractions are several parts of whole)

1

4 One quarter and

3

4 Three quarters. One whole

1

4 One quarter and

3

4 Three quarters. One whole

1

4 One quarter and

3

4 Three quarters. One whole

1

4 One quarter and

3

4 Three quarters. One whole

1

4 One quarter and

3

4 Three quarters.

Number line

0 1 0 1

1

4

3

4

3Nn15

Fractions P- 2

(Fractions are several parts of whole)

𝟏

𝟑 One third

𝟐

𝟑 two third one whole kit-kat

`

𝟏

𝟑 One third

𝟐

𝟑 two third one whole

𝟏

𝟑 One third

𝟐

𝟑 two third one whole

𝟏

𝟑 One third

𝟐

𝟑 two third one whole

𝟏

𝟑 One third

𝟐

𝟑 two third one whole

𝟏

𝟑 One third

𝟐

𝟑 two third Clock

3Nn15

Fractions P- 3

(Fractions are several parts of whole)

𝟏

𝟐 one half is same as

𝟐

𝟒 two quarters one whole

𝟏

𝟐 one half is same as

𝟑

𝟔 three sixths one whole

𝟏

𝟐 one half is same as

𝟒

𝟖 four eighths one whole

𝟏

𝟐 one half is same as

𝟓

𝟏𝟎 five tenths one whole

Note : 𝟏

𝟐,

𝟐

𝟒,

𝟑

𝟔,

𝟒

𝟖,

𝟓

𝟏𝟎, 𝐚𝐫𝐞 𝐞𝐪𝐮𝐢𝐯𝐚𝐥𝐞𝐧𝐭 : i.e

𝟏

𝟐=

𝟐

𝟒=

𝟑

𝟔=

𝟒

𝟖=

𝟓

𝟏𝟎

3Nn16

Fractions P- 4

𝟏

𝟐 One half

𝟐

𝟒 Two quarters

𝟑

𝟔 Three sixths

𝟒

𝟖 Four eights

𝟓

𝟏𝟎 Five tenths

Note : 𝟏

𝟐,

𝟐

𝟒,

𝟑

𝟔,

𝟒

𝟖,

𝟓

𝟏𝟎, 𝐚𝐫𝐞 𝐞𝐪𝐮𝐢𝐯𝐚𝐥𝐞𝐧𝐭 : i.e

𝟏

𝟐=

𝟐

𝟒=

𝟑

𝟔=

𝟒

𝟖=

𝟓

𝟏𝟎

3Nn16

1 Whole

Fractions P- 5

( Mixed Fractions)

3 halves 𝟑

𝟐 is same as 𝟏

𝟏

𝟐 one whole and one half

2

2

1

2

3 halves 𝟑

𝟐 is same as 𝟏

𝟏

𝟐 one whole and one half

2

2

1

2

7 quarters 𝟕

𝟒 is same as 𝟏

𝟑

𝟒 onewhole and three quarters

4

4

3

4

7 quarters 𝟕

𝟒 is same as 𝟏

𝟑

𝟒 one whole and three quarters

4

4

3

4

3Nn17

Mixed fraction has a whole number and a fraction.

Example : 𝟏 𝟏

𝟐 , 𝟐

𝟑

𝟒

Fractions P- 6

( Mixed Fractions)

Two and one quarter 21

4

0 1 2 3

9 quarters 9

4

9 quarters is same as 21

4 two whole and

1

4 one quarter

1

4 one quarter

one whole

one whole

9 quarters is same as 21

4 two whole and one quarter

one whole one whole

1

4 one quarter

3Nn17

Fractions P- 7

Order mixed fractions on a number line

look at the number line below:

𝟏𝟏

𝟐 (

3

2 ) 𝒍𝒊𝒆𝒔 𝒃𝒆𝒕𝒘𝒆𝒆𝒏 𝟏 𝒂𝒏𝒅 𝟐

𝟏𝟏

𝟐

0 1 𝟑

𝟐 2 3

Now try this: Find a fraction between 2 and 3 and represent it on the number line.

look at the number line below:

11

4 (

5

4 ) 𝑙𝑖𝑒𝑠 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 1 𝑎𝑛𝑑 2

11

4

0 1 2 Now try this: Find another fraction between 1 and 2 and represent it on the number line.

look at the number line below:

12

3 (

5

3 ) 𝑙𝑖𝑒𝑠 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 1 𝑎𝑛𝑑 2

12

3

0 1 2 3

Now try this: Find a fraction between 2 and 3 and represent it on the number line.

3Nn18

Fractions P- 8

Complete the number line:

0 1 2 3 4

0 1 2 3 4

0 1 2 3 4

0 1 2 3 4

3Nn18

2

3

1

1

5

1

4

1

1

2

Fractions P- 9

Look at the number line below:

0 1 2 3 4

(a) How many halves are there in the 21

2 .

(b) Write a fraction which lies between 2 and 4 and represent it on the number line.

𝟏𝟑

𝟒

0 1 2 3 4

(a) How many quarters are there in the fraction 𝟏𝟑

𝟒

(b) Write a fraction which lies between 2 and 3 and represent it on the number line.

𝟏𝟏

𝟑

0 1 2 3 4

(a) How many one thirds are there in the fraction 𝟏𝟏

𝟑 .

(b) Write a fraction which lies between 3 and 4 and represent it on the number line. .

3Nn18

Fractions P- 10

Fraction Wall

Observe the friction wall and answer the following :

(a) Which is grater 𝟑

𝟒 or

𝟒

𝟓 ..........................

(b) Which is smaller 𝟓

𝟏𝟐 or

𝟒

𝟏𝟎 ...........................

(c) Which of these are equal fractions 𝟑

𝟔 ,

𝟓

𝟖 ,

𝟔

𝟏𝟐 .................... and .........................

Between the two given fraction insert the correct option :

( is grater than or is less than or is equal to )

(d) 𝟓

𝟔… … … … … … . … …

𝟕

𝟖

(e ) 𝟑

𝟒… … … … … … . . …

𝟗

𝟏𝟐

(f ) 𝟑

𝟖… … … … … . . … . …

𝟓

𝟏𝟎

1 whole

3Nn18

Fractions P- 11

Fraction to division: (a) Half of 6

𝟏

𝟐 of 6 = 3 as 6 ÷ 2 = 3 as (2×3=6)

(b) Half of 8

𝟏

𝟐 of 8 = 4 as 8 ÷ 2 = 4 as (2×4=8)

(c) Half of 10

𝟏

𝟐 of 10 = 5 as 10 ÷ 2 = 5 as (2×5=10)

(d) One third of 6

𝟏

𝟑 of 6 = 2 as 6 ÷ 3 = 2 as (3×2=6)

(e) One third of 15

𝟏

𝟑 of 15 = 5 as 15 ÷ 3 = 5 as (3×5=15)

(f) Two third of 6

𝟐

𝟑 of 6 = Two times (

𝟏

𝟑𝒐𝒇 𝟔) = 2 × 2 = 4 as from part (d)

𝟏

𝟑 of 6 = 2

(g) Two third of 15

𝟐

𝟑 of 15 = Two times (

𝟏

𝟑𝒐𝒇 𝟏𝟓) = 2 × 5 = 10 as from part (e)

𝟏

𝟑 of 15 = 5

(h) One quarter of 8

𝟏

𝟒 of 8 = 2 as 8 ÷ 4 = 2 as 4 × 2 = 8

(i) Three quarter of 8

𝟑

𝟒 of 8 = 3 times (

𝟏

𝟒𝒐𝒇 𝟖) = 3 × 2 = 6 as from part (h)

𝟏

𝟒 of 8 = 2

(j) One tenth of 30

𝟏

𝟏𝟎 of 30 = 3 as 30 ÷ 10 = 3 as 10 × 3 = 30

(k) Seven tenth of 30

𝟕

𝟏𝟎 of 30 = 7 times (

𝟏

𝟏𝟎𝒐𝒇 𝟑𝟎) = 7 × 3 = 21 as from part (j)

𝟏

𝟏𝟎 of 30 = 3

3Nn19

Fractions P- 12

(a) Shade one half (1

2) of the following shapes :

(b) Shade one quarter (1

4) in each of the following shapes :

(c) Shade one third (1

3) in each of the following shapes :

(d) Shade one tenth (1

10) in each of the following shapes :

3Nn20

Fractions P- 13

Exercise

(a) Find one half (1

2) of the following numbers :

(i) 6 ...........................

(i) 8 ...........................

(i) 12 ...........................

(b) Find one third (1

3) of the following numbers :

(i) 6 ...........................

(i) 12 ...........................

(i) 15 ...........................

(c) Find one quarter (1

4) of the following numbers :

(i) 8 ...........................

(i) 12 ...........................

(i) 16 ...........................

(d) Find one tenth (1

10) of the following numbers :

(i) 10 ...........................

(i) 100 ...........................

(i) 120 ...........................

3Nn20