Use the partitioning method for
addition
Partition
the
numbers
into
hundreds,
tens and
units
Add the
most
significant
digits first.
H T U
H T U
2 4 1 + 3 5 6 =
H
T
U
500 + 90 + 7 = 597
Recombine the numbers
back together
Use the partitioning method for
addition
Partition
the
numbers
into
hundreds,
tens and
units
H T U
H T U
2 4 1 + 3 5 6 =
241 = 200 + 40 + 1
356 = 300 + 50 + 6
Add the
500 + 90 + 7 = 597
most
significant
digits first.
Recombine
the
numbers
back
together
Use ‘number line’ method for addition
156 + 72 =
+20
156
Remember
to start
at the
original
number.
228
+20
176
+20
196
Jump in multiples of
10’s or 20’s to make
it easier
+10
216
+1 +1
226 227 228
Make sure you have
‘jumped’ the full
amount you are
trying to add
Use ‘column partitioning (1)’ method
for addition
Add your
287+ 145 = 432
H
T
200
80
+
+
100
40
300 120
Hundreds, Tens
and Units
together
U
7
+
5
12 = 432
Remember to add the
HTU
Use ‘column partitioning (2)’ method
Add your Units,
for addition
Tens and
287
+ 145
12 (7+5)
120 (80+40)
300 (200 +100)
432
Hundreds
together
Use ‘partitioning’ method for
subtraction
181 – 25 = 156
181 – 25 =
=
=
=
Partition the
number you are
taking away.
181 – 20 – 5
181 – 20
161 – 5
156
Make sure
you take
away the
tens and
then the
units
Use ‘column partitioning’ method for
subtraction
567 – 276 = 291
H
T
500
60
200
70
200
90
U
7
6
1 = 291
Borrow from the Hundreds column
to give to the Tens column.
Use the ‘counting on’ method for
subtraction
136 – 53 =
+7
53
Remember
to start
at the
smallest
number.
+40
60
Jump to multiples of
10 to make it easier
+30
100
7 + 40 + 30 + 6 = 83
Add together the
jumps that you made
+6
130
136
Find the
difference
Use the grid method for
multiplication
136 x 7 =
Partition
Make sure
the
the numbers
X 100 30 6
numbers in
stay in the
hundreds,
right place
tens and
7 700 210 42 in the grid
units
700 + 210 + 42 = 952
Recombine the numbers
back together.
Use the grid method for
multiplication
Partition
the
33 x 4 =
numbers
Make sure
into tens
X 30 4
the numbers
and units
stay in the
4 120 16
right place
in the grid
Use your
knowledge of
multiplication
facts to solve
‘harder’ sums. Eg:
40 x 4
4 x 4 = 16
40 x 4 = 160
120 + 16 = 136
Recombine the numbers
back together.
Use ‘number line’ method for multiplication
27 x 6 =
6 x 10
+60
0
Remember
to start
at ‘0’.
6 x 10
6 x 5
+60
+30
60
Jump in multiples of
10’s or 20’s to make
it easier
120
6 x 2
+12
150
162
60 + 60 + 30 + 12 = 162
Use the ‘number line method’ for division
Don’t forget to
count any
135 ÷ 4 =
x 10
0
x 10
40
x 10
80
x 2
120
x 1
128
remainder
132
r 3
135
10 + 10 + 10 + 2 + 1 = 33 r3
x 4 facts
1x4=4
2x4=8
5 x 4 = 20
10 x 4 = 40
Use easy
times
table
facts to
help you.
Add up how many
‘lots of 4’ you
jumped.
Use the ‘chunking’ for division
337 ÷ 9 =
337
- 180 (9 X 20)
157
- 90 (9 X 10)
67
- 63 (9 X 7)
r4
Don’t forget to
count any
remainder
x 9 facts
1x9=9
2 x 9 = 18
5 x 9 = 45
10 x 9 = 90
20 x 9 = 180
Add up how
many ‘lots
of’ you
jumped.
20 + 10 + 7 = 37 r 4
Use easy
times
table
facts to
help you.