How we teach maths at
Wycliffe Primary
School
KS1 Monday 8th December 2015
2014 Curriculum
Our coverage of the new curriculum is based on the
Rising Stars planning framework. There is a
considerable emphasis on teaching mental calculation
strategies and opportunities to reason and explain
maths orally.
Rote learning of key facts is also a priority.
In each unit, calculation methods are applied in a real
practical context, for example money, length, mass or
capacity.
Actions in School
u  Implementation of planning scheme and calculation policies to
ensure consistent and progressive approach exists to secure
good/outstanding progress in mental and written calculation in
line with new curriculum requirements.
u  Re-introduction of Rainbow Passports, updated in line with the
new curriculum, to promote learning of rote facts
u  Ensuring that using and applying is an integral part of all maths
lessons at Wycliffe
u  Use of models and images, including practical resources, so
children have visual and kinaesthetic references to enhance
their mathematical understanding
u  Regular and constructive oral and written feedback given to
children in their maths books.
u  Share what we are doing with you!
Addition
Resources to help children with addition
Stages in addition:
1) Informal counting strategies e.g. counting songs, rhymes
and
games
2) Practical and pictorial addition – (a) count all
(b) count on
!
3) Use of number lines to count on from one number to
another
4) Blank number lines: 8 + 6 = 14 (counting on in ones)
5) Blank number lines: 8 + 6 = 14 (chunking)
Progressing:
6) Partitioning
7
6
+ 4 7
7) Horizontal expansion
=
70+40= 110
6 + 7= 13
110+13=123
8) Vertical layout
76
+ 13 = 123
+ 47
13
110
123
4 7 = 40 + 7
7 6 = 70 + 6
Base 10 (dienes)
equipment and
money are key
resources to
develop
understanding in
relation to this.
110
Mental Strategies required to add successfully
u Count forward in 1s, 2s, 5s and 10s etc…
u Recall all addition pairs to 9 + 9 and complements in 10,
(such as 7+ 3 =10) and apply them in calculations. Then
extend to 20, including 8+6=14 etc (number bonds to 20)
u Add mentally a series of one-digit numbers, (such as 5 +
8 + 4);
u Add multiples of 10 (such as 60 + 70) or of 100, (such as
600 + 700) using the related addition fact, 6 + 7, and
their knowledge of place value;
u Partition two-digit and three-digit numbers into
multiples of 100, 10 and 1 in different ways.
It is important that children’s mental methods of
calculation are practised and secured alongside their
learning and use of an efficient written method for
addition.
u To be able to estimate and reason before a calculation.
Vocabulary
Add, addition, plus, more, increase
Score, total, altogether, equals
Sum
Number sentence
Record, draw, show me, jottings
Place Value (Thousands, Hundreds, Tens and units)
Count on, jump on
Subtraction
Resources to help children with subtraction
1. 
Stages in subtraction (these are not necessarily
hierarchical)
•  Informal counting strategies e.g. counting songs,
rhymes and games
•  Practical and pictorial subtraction
!
!
!
•  Use of number lines to count back from one number to
another
•  Finding the difference between groups of objects or numbe
•  Using an empty number line to count up
1. 
Stages in Subtraction by Decomposition
6 7 –
3 2
=
6 2 –
2 7
=
16 2 –
2 7
=
Again, Base 10
(dienes)
Expanded layout – leading to decomposition
equipment and
563 – 241 =
money are key
50 13
resources to
500 + 60 + 3
500 + 60 + 3
develop
- 200 + 40 + 1
200 + 40 + 6
300 + 20 + 2 = 322
300 + 10 + 7 = 317 understanding
in relation to
this.
Compact Method
563 – 271 =
H
T
4
1
U
5 6 3
2 7 1
2 9 2
borrow
or
exchange ?
Vocabulary
Subtract, subtraction, minus, take away, less, leave, fewer,
decrease, left, difference
Equals
Number sentence
Record, draw, show me, jottings
Sum!
Count on/count back
Place Value -
Thousands, Hundreds, Tens and Units
Mental Strategies required to subtract successfully
u Count back in ones, and tens from any number
u Recall all addition and subtraction facts to 10 and 20;
u Subtract and add multiples of 10 (such as 160 – 70)
using the related subtraction fact, 16 – 7, and their
knowledge of place value;
u Count on in ones and multiples of 10.
u Partition two-digit and three-digit numbers into
multiples of one hundred, ten and one in different ways
(e.g. partition 74 into 70 + 4 or 60 + 14).
u Be able to say a corresponding subtract fact for an
addition. Understanding that these two operations are
the inverse of each other.
Multiplication
Resources to help children with multiplication
Counting groups of objects
60 5
2
4
6
55
15
50
20
45
25
40
10
20
30
10
35
40
30
50
Grouping objects
Repeated addition
3 x 2
2+2+2=6
Arrays in real life
5 x 3 or 3 x 5
6 x 4 or 4 x 6
4 x 6 or 6 x 4
4 x 3 or 3 x 4
7 x 6 or 6 x 7
Arrays as a tool for solving answers
6 x 3 = 18
Across the
corridor and
down the
stairs!
3 x 6 = 18
Solving multiplication problems
How many legs on 6 spiders?
Notation: 8 x 6 =
Repeated addition:
=
8+8+8+8+8+8=
6+6+6+6+6+6+6+6
Array:
Using known facts: I know that 5 x 8 = 40, so 6 x 8 = 48
Jottings:
8
16
24
32
Grid Method
13 x 7
7
10
3
70
21
70 + 21 = 91
Number line
+ 70
+21
10 x 7
0
13 x 7 = 91
3x7
70
91
Mental Strategies required to multiply
successfully
u Recall all multiplication facts to 10 × 10; (2, 5,
10 to start)
u Partition numbers into multiples of one
hundred, ten and one;
u Apply multiplication facts e.g. 2 × 50, 5 x 20, 2
x 500 or 5 × 200 using the related fact 2 × 5 and
their knowledge of place value;
u Double numbers to 10, 20
u Multiply by 10
u Add two or more single-digit numbers mentally;
Vocabulary
Lots of, groups of, ‘x’, times, multiply, multiplied by
Multiple of
Once, twice, three times… ten times…
Times as (big, long, wide… and so on)
Repeated addition
Array, row, column
Double
One each, two each, three each…
Group in pairs, threes… tens
Number sentence
Record, draw, show me, jottings
Division
Resources to help children with division
½
½
Sharing objects
Share these six biscuits between three teddies.
How many biscuits does each teddy get each?
Linking with halving and quartering shapes
Splitting into equal groups/parts
½
¼
¼
¼
¼
½
Using tens and units to solve division problems
48
48 ÷ 2 = 24
Division as grouping
Can you group these cookies into groups of 3?
How much does each one get?
Division as grouping – Repeated Addition
+3
0
+3
3
15 ÷ 3 = 5
+3
6
+3
9
+3
12
15
Arrays as a tool for solving answers
18 ÷ 6 = 3
18 ÷ 3 = 6
Link with
multiplication
Remainders
13 ÷ 4 = 3r1
+4
0
+4
4
13 ÷ 4 = 3r1
+4
8
+1
12
13
Remainders: Rounding up or rounding down
6 children fit around a picnic bench. How many benches
will I need for 26 children?
Cinema tickets cost £6 each. How many tickets can I buy
if I have got £26?
Solving division problems
How many boxes of 6 eggs do I have if I have 36 eggs
altogether?
Notation: 36 ÷ 6 =
Array:
Using known facts (grouping) : I know that 6 x 6 = 36, so 36
÷6=6
Jottings:
6
12
18
24
30
36
Counting on by chunking
10x7 = 70
10
0
4x7 = 28
4
70
r2
98
100
Vocabulary
Share, share equally
One each, two each, three each…
Group in pairs, threes… tens
Equal groups
÷, divide, division, divided by, divided into
Halve, quarter, ½, ¼,
One each, two each, three each…
Group in pairs, threes… tens
Left, left over, remainder
Grouping and chunking
Number sentence
Record, draw, show me, jottings
Mental Strategies required to divide successfully
u Understand and use the vocabulary of division
u Partition two-digit and three-digit numbers into
multiples of 100, 10 and 1 in different ways;
u Halves of numbers to 20
u Begin to recall multiplication and division facts to for 2,
5, and 10 times tables. E.g. I know 3 x 10 is 30 so 30 ÷ 3 =
10 and 30 ÷ 10 = 3
u Know how to find a remainder working mentally – for
example, find the remainder when 48 is divided by 5;
u Begin to know and use multiplication and division as
inverse operations.
u Understand division as grouping (using repeated
addition)
Any questions?
There will be a maths page
on the website soon.
It will contain:
• this presentation
• the booklet for parents,
• our calculation policy,
• details of Rainbow Passports
• links to websites with great maths games