Prior skills
Method for Multiplication
Practise
Be able to count forwards and
backwards in steps of different
sizes.
Step1
Count back and forth in 1s.
Count forward and backwards in 2s, 5s, 10s.
Start on a number other than 0.
Use counting stick, washing lines etc.
Understand × sign.
Understand and use the language
of groups of, lots of etc.
Understand that 2 lots of 4 is
4+4.
Step 2
Counting in different sequences.
Teacher to model counting on in steps as repeated
addition.
Understand multiplication as an array and
understand from this that multiplication can be
done in any order.
2 X 4,
2 times by 4
2+2+2+2
Use wrapping paper arrays.
Use cubes in arrays.
Use counters in arrays.
Use number lines, counting sticks, washing
lines etc.
Learn times tables.
4X2
4 times by 2
4+4
Be able to draw repeated steps
on a numbered line and then a
blank numberline.
Step 3
Know multiplication as repeated addition
becomes
1
2
3 4
5 6
x1
0
7 8 becomes
x1
4
8
Learn times tables.
Use wrapping paper cut into groups to
create number line showing repeated
addition.
ITP : Multiplication facts
Be able to partition numbers into
tens and units.
Step 4
The grid method. Teens x single digit.
Know some times tables up to
10×10
2
10
Have a reliable method for
addition.
Wrapping paper array cut at x10 to model
the principle of distributive law eg. 18×5=
(10×5)+(8×5)
3         
 
         
 
         
 
3
X
10
30 6
Extend to:
 2 digit x1 digit
 3 digit x 1 digit
 teens x teens
2
ITP’s : Multiplication Array and
Multiplication grid
Understand the principle of
multiplying by 10 and 100 and
what happens to the digits.
Be able to recognise that 20 = 10
x2
So 20 x 4 = 2 x 4 x 10.
Have secured column addition.
Progression
Step 5
The grid method.
X
20
30
600
7
140
Practise the principle of the associative law:
6
180
42
Extend to other numbers, including up to 1
decimal place. Ensure place value columns are
aligned.
X
3
0.7
60
180
42
4
12
2.8
30 x 20 = ( 3 x 10) x ( 2 x 10 )
= (3 x 2 ) x ( 10 x 10 )
= 6 x 100
0.7 x 60 = (7 ÷ 10) x (6 x 10)
=7x6
0.7 x 4 = (7 ÷ 10) x 4
=7x4
a
Up to 10 x 10
4x6=
7x9=
b
Teens x 1 digit
14 x 3 =
17 x 8 =
c
Any 2 digit x 1 digit
53 x 4 =
93 x 9 =
d
Any 3 digit x 1 digit
534 x 4 =
937 x 9 =
e
Teens x teens
14 x 13 =
17 x 19 =
f
Teens x 2 digits
14 x 42 =
17 x 87 =
g
2 digits x 2 digits, 3 digits x 2 digits etc,
etc.
One number with one decimal place
24 x 35 =
678 x 92 =
24 x 3.2
24 x 63.2
h