year 2 and year 3 multiplication and division unit 1 (23270)
TRANSCRIPT
© 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
© Hamilton Trust practice_mult-div_23270
2-digit doublesSheet 2
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!
© Hamilton Trust practice_mult-div_23270
20-something doublesSheet 3
Write the doubles for each number around the dartboard.
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 practice_mult-div_23270
© 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
© Hamilton Trust practice_mult-div_23270
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
© Hamilton Trust practice_mult-div_23270
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)
Half of 18 = Double = 18
Double = 14Half of 14 =
b)
c)
Half of 16 = Double = 16
Double = 8Half of 8 =
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.
practice_mult-div_23270_day2
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
practice_mult-div_23270_day2
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
© Hamilton Trust practice_mult-div_23270
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
© Hamilton Trust practice_mult-div_23270© Hamilton Trust
Halves and doubles: bar modelsSheet 2
201.Half of 20 is . Double is .
122.Half of 12 is . Double is .
163.Half of 16 is . Double is .
244.Half of 24 is . Double is .
285.Half of 28 is . Double is .
9 9
6.Double 9 is . Half of is .
13 13
7.
15 15
8.
practice_mult-div_23270_day3
Double 13 is . Half of is .
Double 15 is . Half of is .
© Hamilton Trust practice_mult-div_23270© Hamilton Trust
Halves and doubles: bar modelsSheet 3
641.Half of 64 is . Double is .
862.Half of 86 is . Double is .
583.Half of 58 is . Double is .
434.Half of 43 is . Double is .
375.Half of 37 is . Double is .
49 49
6.Double 49 is . Half of is .
53 53
7.
62 62
8.
practice_mult-div_23270_day3
Double 53 is . Half of is .
Double 62 is . Half of is .
Challenge
Would you rather have half of 148p or double 37p?Make up another problem like this.
© Hamilton Trust practice_mult-div_23270
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
© Hamilton Trust practice_mult-div_23270
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
© Hamilton Trust practice_mult-div_23270
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.
© Hamilton Trust practice_mult-div_23270
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