Multiplication
and the new Curriculum 2014
By the end of Year 6, pupils should be fluent in written
methods for all four operations, including long
multiplication and division, and in working with
fractions, decimals and percentages.”
National Curriculum 2014
End of year 4 expectation:
27 x 6 =
20
End of year 5 expectation:
457 x 5 =
7
6 120 42
162
End of year 6 expectation:
354 x 67 =
457
x 5
2285
2 3
3 5 4
x67
2 4 78
3 2
21 24 0
3 2
2 3 71 8
1
x7
x 60
New style of questions for the 2016 SATS
Have a go…
Short multiplication
Long multiplication
127 x 6 = 762
139 x 35 =
4865
267 X 7 = 1869
428 X 43 = 18404
Multiplication word problems
Ben is throwing a birthday party for his friends. He wants to
provide a cupcake, a pack of sweets and a pack of crisps to
each one of his 48 friends. How many items of food does he
need to buy?
A football stadium holds 19,682 people. If there are 38
games a year and they all sell out, how many tickets will they
have sold?
Ben is having a birthday party for his friends. He wants to provide a cupcake, a
pack of sweets and a pack of crisps to each one of his 48 friends.
How many items of food does he need to buy?
A football stadium holds 9,682 people. If there are 38 games a year and they
all sell out, how many tickets will they have sold?
Division
New style of questions for the 2016 SATS
Division requires a secure knowledge of times tables and place value –
these calculations do not require a written method
48 ÷ 8 =
450 ÷ 10 =
630 ÷ 9 =
1440 ÷ 12 =
Children are expected to know tables facts up to 12 x 12
Short division - formal written method
1
5
0
1
________
2
5 )7 5 0 5
-5 -25
0
3
2
6
________
2
2
4
8 )2 6 0 8
-24 -16
Long division
0
2
2
9
________
3
2
11
2
9
7
7
13 )
-2 6
3 7
-2 6
1 1 7
13
26
39
52
65
78
91
104
117
130
The division problems children are given to solve do not just require
them to apply a written method without any thought.
The Mastery expectation requires them to look at the problem and
decide upon the most appropriate and efficient strategy to use.
divide numbers up to 4 digits by a two-digit whole number using the
formal written method of long division where appropriate
solve problems involving multiplication and division where larger numbers
are used by decomposing them into their factors
Decompose them into their factors
2 is a factor of both
these values so divide
both sides by 2
You could go
further as both
these values are
divisible by 3
2466 ÷ 18 =
1233 ÷ 9 =
1233 ÷ 3 = 411
then
411 ÷ 3 = 127
Decompose them into their factors
You can keep
dividing by 2
3264 ÷ 24 =
2 is a factor of both
these values so divide
both sides by 2
1632 ÷ 12 =
816 ÷ 6 =
Then find
408 ÷ 3 = 136
And again!
This is easy isn’t it?
1682 ÷ 29 =
This is your only
method
29
________
)1682
This is a prime
number so it has
no factors other
than 1 and 29
• End of year 4 expectation:
• End of year 5 expectation:
• End of year 6 expectation:
• recall multiplication and
division facts up to 12x12.
• solve problems involving
multiplication and division
where larger numbers are used
by decomposing them into their
factors
• divide numbers up to 4 digits by
a two-digit whole number using
the formal written method of
long division where
appropriate, interpreting
remainders according to the
context
• use place value, known and
derived facts to multiply and
divide mentally
• multiply and divide numbers
mentally drawing upon known
facts
• divide numbers up to 4 digits by
a one-digit number using the
formal written method of short
division and interpret
remainders appropriately for
the context
Division word problems
A box holds 6 eggs.
How many boxes are needed to hold 52 eggs?
A small plane holds 38 passengers.
How many small planes are needed for 500 passengers?
Would there be any empty seats and if so how many?
A box holds 6 eggs.
How many boxes are needed to hold 52 eggs?
A small plane holds 38 passengers. How many small planes are needed for 500 passengers?
Would there be any empty seats and if so how many?
Plenary
1 7 4
3
0 5 8
8 7 0
0 2 3
4 2
Plenary- answers
1
0 5 8
1 7 4
3
5 2 2
8
7
1 5
8 7 0
0 2 3
4 2
9 6 6
Underneath their work, children will…
RAG their work, showing how well they have
understood the task?
Possibly write a comment on how they feel
about the task, explaining what went
well and what they have learnt.