year 2 and year 3 multiplication and division unit 1 (23270)

© Hamilton Trust

Year 2 and Year 3 Multiplication and Division Unit 1 (23270)

Additional teacher instructions for practice sheets These notes indicate which practice sheets are most appropriate for which groups.

Day 1 Y2 Dartboard doubles Sheet 1Working towards ARE

Day 1 Y2 2-digit doubles Sheet 2Working at ARE

Day 1 Y2 20-something doubles Sheet 3Greater Depth

Day 1 Y3 Doubling numbers Sheet 4Working towards ARE / Working at ARE / Greater DepthWorking towards ARE: Support children/model doubling through first few of Part A numbers as a group, using place value cards, then children work independently.Working at ARE complete as many as they can in Part A (1s digits of 5 or less) and Part B (1s digits of 5 or more).Greater Depth complete Part B and then choose five numbers between 50 and 100 to double.

Day 2 Y2 Doubles and halves Sheet 1Working towards ARE / Working at ARE

Day 2 Y2 Doubles and halves Sheet 2Working at ARE / Greater DepthWorking at ARE complete a – f.Greater Depth complete e – l.

Day 2 Y3 Halving Sheet 3Working towards AREChildren use counters to work out and record half of all even numbers from 10 to 30.

Day 2 Y3 Halving Sheet 4Working at ARE / Greater DepthWorking at ARE work out half of all even numbers from 30 to 50, make a note of any patterns.Greater Depth work out half of all even numbers from 30 to 50, make a note of the patterns that they spot. Can they continue this pattern to find half of all even numbers to 80?

Day 3 Y2 The cake sale Sheet 1Working towards ARE / Working at ARE / Greater DepthWorking towards ARE complete the top shelf, and the middle shelf as a challenge.Working at ARE complete the top and middle shelf.Greater Depth complete the middle and bottom shelf.

Day 3 Y3 Doubles and halves: bar models Sheet 2Working towards ARE

Day 3 Y3 Doubles and halves: bar models Sheet 3Working at ARE / Greater Depth

practice_mult-div_23270

© Hamilton Trust practice_mult-div_23270

Dartboard doublesSheet 1

Write the doubles for each number around the dartboard.

Challenge

_day1

Start on 1. Double and add 1. Double the answer and add 1. Keep going as long as you can!

3

27 1719

16


2-digit doublesSheet 2


Challenge

_day1

Start on 1. Double and add 1. Double the answer and add 1. Keep going as long as you can!


20-something doublesSheet 3


Challenge

_day1

Start with 2. Double and subtract 1. Double the answer and subtract 1. Keep going as long as you can! Can you write a ‘chain’ of numbers to show each of your answers?

© Hamilton Trust


© Hamilton Trust

© Hamilton Trust

Doubling numbersSheet 4

Challenge

practice_mult-div_23270_day1

On Monday the magic plant was 12 centimetres tall. Every day it doubled its height. How tall was it on Friday?

1.

2.

3.

4.

5.

15

22

34

43

12

6.

7.

8.

9.

10.

41

32

23

14

21

1.

2.

3.

4.

5.

18

26

35

48

47

6.

7.

8.

9.

10.

36

27

19

16

38

Part A Part B

Double the following numbers:

© Hamilton Trust


Doubles and halvesSheet 1

Draw the number of cubes in the box to create the double. Write the double. Then write the half.

Challenge

Double is 18 Half of is 12 Double is 20

A ladybird has 7 spots on one of its wings. How many spots are there in total on both wings?

Double 4 =

Half of 8 =

Double 6 =

Half of =

Double 8 =

Half of =

Double 5 =

Half of =

Double 7 =

Half of =

Double 11 =

Half of =

Double 13 =

Half of =

Double 15 =

Half of =

_day2

© Hamilton Trust


Doubles and halvesSheet 2

Challenge

_day2

Half of = 15 Double = 28 Half of = 16 Double = 38

h) Half of 30 =

Double = 30

f)

g)

Half of 20 = Double = 20

Double = 24Half of 24 =

d)

e)



b)

c)



a) Double = 12Half of 12 =

Complete each sentence.

i) Half of 22 =

Double = 22

j) Half of 28 =

Double = 28

k) Half of 26 =

Double = 26

l) Half of 0 =

Double = 0

© Hamilton Trust practice_mult-div_23270© Hamilton Trust

HalvingSheet 3

Use counters to calculate and record half of all even numbers from 10 to 30.Make a note of any patterns you find.


22e.g. Half of

10 1

10 + 1 = 11

10 16

18

12

26

14

20 22

28

24

30

© Hamilton Trust

Title

Body copy here

Challenge

Working at ARE Working at ARE

Challenge copy here...

© Hamilton Trust

HalvingSheet 4

Calculate half of all even numbers from 30 to 50. Make a note of any patterns you find.

Challenge


On Monday the enormous puddle was 128 centimetres wide. Every day it halved in width. On which day was it only 2 cm wide?

32e.g. Half of

15 1

15 + 1 = 16

30 36

38

32

46

34

40 42

48

44

50

© Hamilton Trust


The cake saleSheet 1

_day3

All cakes are half price. Write the new prices next to the cakes.

4p 10p2p6p8p

How many times can you halve 36 before you reach an odd number? Write all the numbers in this chain.Is there a number between 20 and 40 that can be halved like this to give a longer chain?Which number gives the longest chain?

Challenge

20p

10p 18p14p12p16p 20p

22p 30p28p32p26p 36p


Halves and doubles: bar modelsSheet 2

201.Half of 20 is . Double is .





9 9

6.Double 9 is . Half of is .

13 13

7.

15 15

8.


Double 13 is . Half of is .



Halves and doubles: bar modelsSheet 3






49 49

6.Double 49 is . Half of is .

53 53

7.

62 62

8.




Challenge

Would you rather have half of 148p or double 37p?Make up another problem like this.


Multiplication and divisionAnswers

Day 1 Y2 Dartboard doubles Sheet 1

_answers

1

4

6

10

3

27

8

9

520

18

13

15

1719

16

12

14

11

20

3018

13

15

1719

16

12

14

11

21

24

26

22

2327

28

29

25

56

5446

44

40

52

48

42

58

50

20

12

14

16

18

10

4

6

8

2

1

4

6

10

3

27

8

9

520

18

13

15

1719

16

12

14

11

30

26

32

22

28

24

3438

36

40

Day 1 Y2 2-digit doubles Sheet 2

Day 1 Y2 20-something doubles Sheet 3

The children should create a chain of numbers which starts: 1 x 2 = 2 + 1 = 3 x 2 = 6 + 1 = 7 x 2 = 14 + 1 = 15 x 2 = 30...

Challenge

The children should create a chain of numbers which starts: 1 x 2 = 2 + 1 = 3 x 2 = 6 + 1 = 7 x 2 = 14 + 1 = 15 x 2 = 30...

Challenge

The children should create a chain of numbers which starts: 2 x 2 = 4 - 1 = 3 x 2 = 6 - 1 = 5 x 2 = 10 - 1 = 9 x 2 = 18 -1 = 17...

Challenge


Multiplication and divisionAnswers

_answers

Double 7 =

Half of =

Day 2 Y2 Doubles and halves Sheet 1

Double 4 =

Half of =

Double 6 =

Half of =

Double 8 =

Half of =

Double 5 =

Half of =

Double 11 =

Half of =

Double 13 =

Half of =

Double 15 =

Half of =

8 12

6128 4

14

14 7

22

22 11

30

30 15

26

1326

816

16

10

10

5

Half of = 12

Total spots of ladybird wings = 14

Double 9 = 18 Double = 20 9 24 10

Challenge

Day 2 Y2 Doubles and halves Sheet 2

Double = 20

Double = 24

Double = 18

Double = 14

Double = 16

Double = 8

Double = 12

f)

g)

Half of 20 =

Half of 24 =

d)

e)

Half of 18 =

Half of 14 =

b)

c)

Half of 16 =

Half of 8 =

a) Half of 12 =

Double = 28 Double = 38

Double = 26

Double = 0

Double = 22

Double = 28

Double = 30

Half of = 15 Half of =16

k)

l)

Half of 26 =

Half of 0 =

i)

j)

Half of 22 =

Half of 28 =

h) Half of 30 = 6 6

9 9

8 8

4 4

7 7

10 10

1212

15 15

11 11

14 14

13 13

0 0

30 14 32 19

Challenge

Day 1 Y3 Doubling numbers Sheet 4

1.2.3.4.5.

3044688624

6.7.8.9.10.

8264462842

A1.2.3.4.5.

3652709694

6.7.8.9.10.

7254383276

B

Mon = 12cm, Tues = 24cm, Weds = 48cm, Thurs = 96cm, Fri = 192cm

Challenge


Multiplication and DivisionAnswers

_answers

10 12 14 16

3

2

5 + 0 = 5 5 + 1 = 65 0 5 1

5 + 2 = 7 5 + 3 = 8 5 2 5

18 20

5 + 4 = 9 10 + 0 = 10 5 4 10 0

22 24

10 + 1 = 11 10 + 2 = 1210 1 10

26 28

10 + 3 = 13 10 + 4 = 1410 3 10 4

30

15 + 0 = 1515 0

Day 2 Y3 Halving Sheet 3

30 32 34 36

3

2

15 + 0 = 15 15 + 1 = 1615 0 15 1

15 + 2 = 17 15 + 3 = 18 15 2 15

38 40

15 + 4 = 19 20 + 0 = 20 15 4 20 0

42 44

20 + 1 = 21 20 + 2 = 2220 1 20

46 48

20 + 3 = 23 20 + 4 = 2420 3 20 4

50

25 + 0 = 2525 0

Day 2 Y3 Halving Sheet 4

Challenge

On Sunday the puddle will be 2 cm.


Multiplication and DivisionAnswers

_answers

Day 3 Y2 The cake sale Sheet 1

4p 10p2p6p8p 20p

10p 18p14p12p16p 20p

22p 30p28p32p26p 36p

18p15p14p16p

7p 9p 6p 10p

5p1p3p 10p4p2p

5p 8p

11p 13p

Challenge36 halved twice before reaching an odd number: 18 then 9.

32 gives the longest chain: 32 16 8 4 2 1

Day 3 Y3 Doubles and halves: bar models Sheet 2

1. Half of 20 is 10. Double 10 is 20 2. Half of 12 is 6. Double 6 is 12 3. Half of 16 is 8. Double 8 is 16 4. Half of 24 is 12. Double 12 is 24 5. Half of 28 is 14. Double 14 is 28 6. Double 9 is 18. Half of 18 is 9 7. Double 13 is 26. Half of 26 is 13 8. Double 15 is 30. Half of 30 is 15

Day 3 Y3 Doubles and halves: bar models Sheet 3

1. Half of 64 is 32. Double 32 is 64 2. Half of 86 is 43. Double 43 is 86 3. Half of 58 is 29. Double 29 is 58 4. Half of 43 is 21 1/2. Double 21 1/2 is 43 5. Half of 37 is 18 1/2. Double 18 1/2 is 37 6. Double 49 is 98. Half of 98 is 49 7. Double 53 is 106. Half of 106 is 53 8. Double 62 is 124. Half of 124 is 62

Challenge

Both, half of 148p and double 37p are 74p

year 2 and year 3 multiplication and division unit 1 (23270)

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