Multiplication—Stage Six
New National Curriculum Objectives and Number Range.
Multiply multi-digit numbers up to 4 digit by a two-digit whole number using the formal
written method of long multiplication.
Children multiply one– digit numbers with up to two decimal places by whole numbers.
Vocabulary
groups (of) lots ( of) times, multiply, multiplied (by), multiple of, twice, double, repeated,
partition, decimals, doorstep
Mental Maths
Use factors to multiply:
Recall multiplication for all x tables
36 x 25 becomes
Partition numbers using jottings
4 x 9 x 25 becomes
X whole numbers and decimals by 10, x100,
x1000,
25 x 4 x 9 becomes
Step 1: Short multiplication of decimals with different number of places by a single digit.
2.13 x 3 =
2. 1 3
X
3
6. 3 9
Remember the decimal point in the answer is fixed so put it in the answer first.
Step 2: Long Multiplication of whole number and decimals.
Multiplication—Stage Five
New National Curriculum Objectives and Number Range.
Multiply numbers up to 4 digit by one number ( HTU X U , THHTU x U)
Multiplying numbers up to 4 digit by two digit using long multiplication.
Vocabulary
groups (of) lots ( of) times, multiply, multiplied (by), multiple of, twice, double, repeated,
partition, doorstep
Mental Maths
Examples of types of questions
Recall multiplication for all x tables
6 X 1234
Partition numbers using jottings
24 X 16
Multiply numbers mentally drawing upon
known facts
124 X 26
1231 X 18
Step 1: Short multiplication
SCRIPT 127 x 6 = 762
using p
Check
n-
artitio
ing
7 x 6 = 42
Put the 2 units down in the units column and carry the 4
into the next column and place on the doorstep
127 x 6 =
762
127
X 6
1_4_
6 x 2 = 12 + 4 from the doorstep = 16
Write 6 down in the tens and carry the one and place on
the doorstep into the hundreds column
6 x 1 = 6 add the one from the doorstep
Write 7 in the hundreds column in the answer
The answer is 762
Step 2: Long multiplication
Start with the units first 8 x 4 = 32
Put the 2 units down in the units column and carry the 3 tens and place on the doorstep
8 x 2 = 16 , now add 3 ( cross off when added ) = 19
Write 19 down as we cannot carry into the next column.
Now we are going to multiply by tens so always remember to have 0 as a place holder
3 x 4 = 12 Put the 2 down in the tens column and place the 1 ten on the doorstep
3 x 2 = 6 add one = 7 Use column addition to find the total, use the lower doorstep for
any carrying.
The answer is 912
Multiplication—Stage Four
New National Curriculum Objectives and Number Range.
Multiply two digit and three digit numbers by a one-digit number using formal written
layout.
TU x U HTU X U with carrying.
Children recall multiplication and division facts for multiplication up to 12 X 12
Vocabulary
groups (of) lots ( of) times, multiply, multiplied (by), multiple of, twice, double, repeated,
partition, product, doorstep
Mental Maths
Recall multiplication for all the times
tables up to 12x
Understand and use the associative law:
 2 x 3 x 4 becomes
 (2
2
Partition numbers using jottings:
x 3) x 4 = 6 x 4 or
x (3 x 4) = 2 x 12
124 x 9 =
4x9 = 36
20 x 9 = 180 ( 2 x 9 = 18 so 20 x 9 =180)
100 x 9 = 900
Step 1: TU X U , HTU X U without carrying. Model practically and explain if you need to but children should already
know the procedure from Year 3.
Step 2: TU X U , HTU X U with carrying. (Model practically and explain if necessary)
SCRIPT 127 x 6 = 762
127 x 6 = 762
127
X 6
1_4__
762
7 x 6 = 42
Put the 2 units down in the units column and carry the 4 into the next column and
place on the doorstep
6 x 2 = 12 + 4 from the doorstep = 16
Write 6 down in the tens and carry the one iand place on the doorstep into the hundreds column
6 x 1 = 6 add the one from the doorstep
Write 7 in the hundreds column in the answer
Multiplication—Stage Three
New National Curriculum Objectives and Number Range.
Write and calculate mathematical statements for multiplication 3,4,8 using the multiplication
tables that they know.
Partition TU x U
Use multiplication partitioning method for TU x U and trial short multiplication with and without carrying
Vocabulary
groups (of) lots ( of) times, multiply, multiplied (by), multiple of, twice, double, repeated,
partition, product, doorstep
Mental Maths
Recall multiplication for the 3, 4, and 8 times
tables .
Count in 4s, 8s, 50s, 100s from any number
Step 1 : Multiplication through partitioning TU X U
23 x 3
3x3=9
20 x 3 = 60
( N.B remind children that we know 2 x 3 = 6 so 20 x 3 = 60)
60 + 9 = 69.
Step 2: Expanded short multiplication. To
show children partitioning.
Step 3: Short multiplication no carrying
23
X 3
____
Leave a line
for the doorstep
Step 4: Including carrying
for when needed
37 x 4 = 148
3 7
69
Start off with the right hand column
3x3=9
3 x 2 tens = 6 tens.
x
4
2
14 8
Record your answer
Carry 2(20) and
Place on the
doorstep
Multiplication—Stage Two
New National Curriculum Objectives and Number Range.
Recall and use multiplication facts for 2, 5 and 10 times tables.
Calculate mathematical statements for multiplication within the 2,5,10 times
tables and write them using the X and = signs.
Vocabulary:
groups (of) lots of, times, multiply, multiplied (by), multiple of, twice, double, repeated, ar-
Mental Maths
Missing number Problem
Recall multiplication for 2, 5 and 10 tables
Know doubles of numbers up to 20.
Count in 3s.
Recognise odd and even numbers.
Under
Written Methods– Steps to success
Step 1: Arrays and Commutative Laws
N.B: When using an array read it from left to right, so this image is ‘Two,
three times’ or ‘2+2+2 ’ or ‘Two times by three’ or ‘Two multiplied by
three’:
Multiplication—Stage One
New National Curriculum Objectives and Number Range.
Solve one-step problems involving multiplication, by calculating the answer
using concrete objects, pictorial representations and arrays.
Counting in 2’s, 5’s and 10’s and grouping into 2’s, 5’s and 10’s.
Vocabulary:
groups (of) lots (of)
Mental Maths
Resources
Count in multiples of 2, 5 and 10
Know doubles of numbers up to 20.
Grouping objects into pairs and then
counting them in twos, for example
socks, bundles of 10 straws, fingers/ toes.
Written Methods– Steps to success
Step 1: Grouping objects in 2s, 5s and 10s, within context of one step practical word problems
using unifix and bead strings.
There are 5 sweets in one bag.
How many sweets are there in 3 bags?
Step 2 : Repeated addition.
Multiplication—Early Years
Early Learning Goal.
Solve problems using doubling within 20 practically using lady bird spots, socks, pairs of
objects.
Solve problems using doubling within 20.
Vocabulary
lots ( of) groups (of)
Mental Maths
Double numbers up to 10 and within
20.
Count in multiples of 1 and 2
.
Resources
Egg boxes
Bead strings
Objects in pairs
Step 1: Use practical equipment to group objects into pairs.
Multiplication
Calculation Policy