MATHEMATICS in the
New Curriculum
Key changes
• There is a significant focus on the number strands of the
curriculum at both Key Stages.
• A new written arithmetic paper is presented at both Key Stages.
At Key Stage 2 this replaces the mental arithmetic paper.
• There are no extension (L3 or L6) papers at either Key Stage.
• Structured apparatus (diennes blocks, numicon, number lines,
tracing paper, mirrors) are not permitted in any of the tests.
• At Key Stage 2, in the arithmetic test, method marks are
available only for use of (short) standard long multiplication and
division methods on relevant questions.
• Both series of tests are more demanding than previous tests, to
match the new higher expectations of the National Curriculum.
What are we up against?
KS1
•Know division facts for x2 x5 x10
•Find ¼ ½ ¾ ⅓ of a shape and amount.
•Solve two step problems using addition and subtraction.
•Recognise, write and tell the time to the quarter hour, and begin
to tell the time to nearest 5 minutes.
KS2
•Place value, comparing, ordering, rounding up to 1,000,000.
•Add, subtract, multiply and divide fractions, including those with
denominators that share a common factor e.g 4/5 + 3/10.
•Find the perimeter of compound shapes.
•Algebraic equations.
Wicklewood
Primary School
Calculation
Steps & Strategies
2015
•This updated calculation policy is structured in four Stages for staff, children and
parents to use as a guide to the ways to calculate using the four operations + - x ÷
from Reception to Yr. 6.
•The methods within each Stage are carefully linked to our CLIC calculation
challenges which provides a clear progression in number and calculation skills.
•The main reason for this update is due to the new calculation expectations for the
New National Curriculum 2014. Children are now expected to use column methods.
This policy is structured using a progression of three types of column method to
support younger children’s knowledge and understanding of the value of number.
•1st column method = Wide Column
•2nd column method = Long Column
•3rd column method = Short Column
/ Bus Stop
•The range of methods within each Stage illustrate an element of choice for the child
and recognises that children may have different methods that work best for them.
However, by Yr. 6, children are now expected to use the Short Column method to
calculate when + - x ÷
•Throughout all the stages of calculation, there should be a focus on ECC Estimate –
Calculate - Check
•If together we are consistent in the teaching of how to calculate, we will see a clear
progression in the methods used throughout the school. This policy will greatly benefit
the children as they make their transition between year groups.
STAGE 1 CLIC 1 – 6: Reception & Yr. 1
STAGE 2 CLIC 7 – 12: Yr. 2 & Yr. 3
STAGE 3 CLIC 13 – 18: Yr. 4 & Yr. 5
STAGE 4 CLIC 19 – 20: Yr. 6
Stage 1 Addition
CLIC 1 - 6
Step
Step
Step
Step
Step
Step
Step
Step
Step
Step
Step
Step
1: I know when to add some more
2: I know to find the total
3: I add the right amount
4: I add the right amount and can count how many altogether
5: I can add numbers of objects to 10
6: I can read number sentences: U + U =
7: I can arrange a number sentence: 5 blocks and 3 blocks is
the same as 5 + 3 =
8: I can solve a number sentence U + U =
9: I can solve addition on a number line
3+4=
10: I can add 1 to a number up to 20
16 + 1 =
11: I can add 2 or 3 to a number up to 20
16 + 3 =
12: I can add a U number to a number to 20
11 + 7 =
Stage 1 Addition Strategies
= 18 = 11 What is 3 more than 4?
+ 1
0
Step 8
I can solve a number
sentence U + U =
1
2
4
+ 1
5
+ 1
6
7
8
9
10
Stage 1 Subtraction Strategies
9
8
10 – 2 = 8
Stage 1 Multiplication Strategies
12
5
5
5
5
5
25
2 lots of 4 = 8
Stage 1 Division Strategies
“I can share
12 objects
into 4 groups.”
“I can share 12
objects into 3
groups.”
“I can share 6 cubes
into 2 groups with 3
cubes in each group.”
“I have
grouped 6 into
3 groups of 2.”
“I have
grouped 20 into 4
groups of 5.”
Stage 2 Addition Strategies
63 + 52 = 115
328 + 75 = 403
60 + 3
300 + 20 + 8
+ 50 + 2
110 + 5
+
= 115
Wide Column!
70 + 5
300 + 90 + 13
Wide
Column!
300 + 103 = 403
438 + 151 = 589
400 + 30 + 8
+ 100 + 50 + 1
500 + 80 + 9
Wide
Column!
63 + 52 = 115
63
+
52
5
Long
Column!
Stage 2 Addition
Strategies
328 + 75 = 403
110
328
115
+ 75
438 + 151 = 589
438
+ 151
9
80
500
589
Long
Column!
13
90
300
3
100
300
403
Long
Column!
Stage 3 Addition Strategies
0.5 + 0.8 = 1.3
328 + 175 = 503
400 + 90 + 13
1.3
Bow Tie!
400 + 100 + 3
£4.38 + £1.51 = £5.89
£5.00 + 80p + 9p
Bow Tie!
Bow
Tie!
Stage 4 Addition Strategies
4.38 + 5.8 = 10.18
4.38
+
5.80
Short
Column!
10.18
1202 + 45 + 367 = 1614
1 2 0 2
3 6 7
+
4 5
Short
Column!
1 6 1 4
1
1 1
16.78kg + 5.08kg = 21.86kg
+
16.78
5.08
21.86
1
1
Short
Column!
42,328 + 12,175 = 54,503 42,328
+ 12,175
54,503
11
Short
Column!
Stage 2 Subtraction Strategies
73 – 4 = 69 80 – 50 = 30
73
69
-­ 1
-­ 1
-­ 1
-­ 1
343 – 6 = 337 337
-­ 1
-­ 3
-­ 3
-­ 1
-­ 1
-­ 1
340
-­ 1
343
-­ 1
64 – 40 = 24
Stage 2 Subtraction Strategies
80 – 73 = 6
Step 22: I know the gap to the next multiple of 10
94 – 36 = 58 + 50
+ 4
to the 36 Go next 10 40
+ 4
Go to the nearest multiple of 10 90
94
Fill the Gap!
Fill the Gap
794 – 36 = 758 36
+ 4
+ 60
Go to the next 10 Go to the next 100
40
+ 90
+ 600
100
Go to the nearest 100
700
+ 4
790
794
Stage 2 Subtraction Strategies
96 -­ 42 = 54 -­
73 -­ 38 = 35
90 + 6
60
40 + 2
50 + 4
-­
= 54
13
70 + 3
30 + 8
Wide
Column!
30 + 5
Wide Column!
438 -­ 51 = 387
300
-­
130
400 + 30 + 8
50 + 1
300 + 80 + 7
Wide
Column!
Stage 2 Subtraction Strategies
96 -­ 42 = 54 96
-­
Long
Column!
Long
Column!
5 1
7
80
300
387
73
-­
38
50
5
54 30
438 -­ 51 =
387
300 130
-­
60 13
42
4
4 3 8
73 -­ 38 = 35
35
Long
Column!
Stage 4
Subtraction
Strategies
52,438 – 18,651 = 33,787
4
11 13
1 1 1
5 2, 4 3 8
Short
Column! -­ 1 8, 6 5 1
3 3, 7 8 7
£18.02 -­ £4.28 = £13.74 Short
Column!
7
15
1 1
5 . 6 0
-­
3 . 7 5
1 . 8 5
8.173 – 0.038 = 8.135
6 1
4 . 2 8
Short 8 . 1 7 3
Column! -­ 0 . 0 3 8
£1 3 . 7 4
8 . 1 3 5
-­
1
1 8 . 0 2
5.6 – 3.75 = 1.85 4
9
1
Short
Column!
Stage 2 Multiplication Strategies
If I know 5 x 3 = 15
I therefore know…
50 x 3 = 150
50 x 3 = 150
15
60 x 4 = 240
24 x 3 = 72 20 + 4
x
24
3
12
Smile
Multiplication
+
60
72
Smile
Multiplication
Wide/Long
Column!
Stage 3 Multiplication Strategies
60 x 40 = 2,400
4 x 0.09 = 0.36
54 x 3 = 162 54
6 x 4 = 24
60 x 4 = 240
60 x 40 = 2,400
600 x 40 = 24,000
600 x 400 = 240,000
x
4 x 0.09 = 0.36
4 x 0.9 = 3.6
4 x 9 = 36
4 x 90 = 360
4 x 900 = 3,600
3
162
1
Short
Column!
544 x 3 = 1,632 54 x 43 = 2,322 154 x 43 = 6,622
544
54
154
3
x 43
x 43
1632
162
x
1 1
Short
Column!
1
Short
462
Column!
1 1
+ 2160
+ 6160
2322
6622
1
1
2 1
1
Stage 4 Multiplication Strategies
5.2 x 6 = 31.2 5.2
5.24
Short
x 6__
Column!
x 6__
31.2
5.2
187.2
36 x 5.24 = 188.64
5.24
x 36__
x 36__
+ 156.0
2
1
36 x 5.2 = 187.2 1
Short
Column!
31.44
1
31.2
5.24 x 6 = 31.44 Short
Column!
31.44
1 2
+ 157.20
1
188.64
Short
Column!
Stage 2 Division Strategies
7 ÷ 3 = 2 r1 10 ÷ 2 = 5
12 ÷ 3 = 4
20 ÷ 4 = 5
5 x 4 = 20
5 x 3 = 15
15 ÷ 5 = 3
48 ÷ 5 = 9r3
9 x 5 = 45
45 + r3 = 48
⅓ of 12 = 4
69 ÷ 3 = 23
10 x 3 = 30
10 x 3 = 30
3 x 3 = 9
69
Stage 2 Division Strategies
15 ÷ 3 = 5
T U
0 5
3 1 5
THE BUS
STOP!
48 ÷ 5 = 9r3 T U
0 9r3
5 4 8 THE BUS
STOP!
THE BUS
STOP!
84 ÷ 4 = 21
T U
2 1
4 8 4 Stage 3 Division Strategies
94 ÷ 4 = 23r2
10 x 4 = 40
10 x 4 = 40
3 x 4 = 12
r2
92
276 ÷ 5 = 55r1
50 x 5 = 250
5 x 5 = 25
r1
276
94 ÷ 4 = 23r2
T U
2 3r2
1
4 9 4
276 ÷ 5 = 55r1
H T U
0 5 5r1
2
5 2 7 6 THE BUS
STOP!
3654 ÷ 9 = 406 3954 ÷ 7 = 564r6
TH H T U
0 4 0 6
9 3 6 5 4
THE BUS
STOP!
TH H T U
0 5 6 4r6
4 3
7 3 9 5 4
Stage 3 Division Strategies
Coin
X 14 Multiplication
1p
2p
3
4
5p
6
7
8
9
10p
20p
50p
60
£1.00
£2.00
14
28
42
56
70
84
98
112
126
140
280
700
840
1400
2800
“If I know 1p,
I therefore know
2p (double it).
If I know 10p,
I therefore know
5p (halve it).
If I know 2p & 1p,
I therefore know
3p (14 + 28 = 42).
Coin
Multiplication
for x table facts
beyond x12 table
273 ÷ 14 = 19r7
6492 ÷ 14 = TH H T U
H T U
0 4 6 3 r10 0 1 9 r7
14 -­
-­
2 7 3
1 4 0
2 1
1 3 3
1 2 6
0 0r7
5
14 -­
-­
-­
THE BUS
STOP!
1
6 4 9 2
5 6 0 0
0 8 9 2
8 4 0
0 0 5 2
4 2
r1 0
Stage 3
CLIC 18
___ 1. 14) 326 ___ 5. 27) 1592 ___ 2. 26) 572 ___ 6. 39) 767 ___ 3. 38) 497
___ 7. 23) 5752
___
4. 13) 1845 ___ 8. 37) 5939 • Now make up some questions of your own, perhaps using bigger numbers! • If you finish, go back to your last CLIC and work on all of your other PINK!
• If you’ve worked on all your PINK, take the next CLIC challenge and make your brain grow! Rising stars parents guide