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Transcript
Addition
In this part of the mathematics programme, your child will be:
 doing adding calculations in their head without writing down any working.
The calculations will be:
 addition involving 4 digit numbers
e.g. 7650+3670
 Using numbers in the 10 times table (10, 20, 30…these are
called multiples of ten) and adding them to larger multiples
of ten
e.g. 7800+1400

doing adding calculations in their jotter or on paper. These calculations will
include numbers with 4 or more digits.
e.g.
5352
+3414
8766
It is important that your child writes down all the
working. This working may be different from the
way you were taught at school. If you are
concerned ask the teacher and they will explain
the methods your child is using.
Here are some activities to try
1. Using number cards 0-9, turn over 4 cards and write down a whole
number. Repeat and add the 2 whole numbers together mentally.
2. The activity above can also be carried out using playing cards.
Second Level Stage 1 Addition
Subtraction
In this part of the mathematics programme, your child will be:
 doing subtraction calculations in their head, without writing down any
working. The calculations will be:
 subtraction involving 4 digit numbers
e.g.
9780-8790
 Using numbers in the 10 times table (10, 20, 30…these are
called multiples of ten) and subtracting them from larger
multiples of ten
e.g.

6600-3700
Doing subtraction calculations in their jotter or on paper. These calculations will
involve numbers with 4 or more digits.
e.g.
6452
- 3431
3021
It is important that your child writes down all the
working. This working may be different from the
way you were taught at school. If you are
concerned ask the teacher and they will explain
the methods your child is using.
Here are some activities to try
1
2
Using number cards 0-9, turn over 4 cards and write down a whole
number. Repeat and subtract the smaller number from the larger one.
The activity above can also be carried out using playing cards.
Second Level Stage 1 Subtraction
Multiplication
In this part of the mathematics programme, your child will be:

Completing multiplication calculations in their head, without writing down
any numbers – the calculations will be:
o Using the 2 to 9 times tables
e.g. 4 x 8 = 32
o Using numbers up to 999 and multiplying them by 10.
e.g. 58 x 10 = 580
H
5
T
U
5
8
8
0
o
X 10
When multiplying by 10 all the figures move one
place to the left. This is because they become 10
times bigger.
Using numbers up to 999 and multiplying them by 100.
e.g. 58 x 100 = 5800
TH
5
H
8
T
U
5
8
0
0
X 100
When multiplying by 100 all the figures
move two places to the left. This is
because they become 100 times
bigger.
 Multiplying whole numbers by multiples of 10 and 100.
e.g.
30 x 6 = 180
First multiply the number in the tens column and then
multiply this answer by ten as shown above.
First multiply the number in the hundreds column and

300 6 = 1800
then multiply this answer by a hundred as shown above.
301
Completing multiplication calculations in their jotter. The calculations will
use the numbers 0 to 99, and they will be multiplying them by the
numbers 2 to 9.
e.g.
64
X3
192
It is important that you child writes down all the working. This
working may be different from the way you were taught at
school. If you are concerned ask the teacher and they will
explain the methods your child is using.
264
X3
792
It is important that you child writes down all the working. This
working may be different from the way you were taught at
school. If you are concerned ask the teacher and they will
explain the methods your child is using.
1
e.g.
11

Developing strategies for multiplication such as partitioning.
e.g.
34x6
30x6=
4x6=
180
+ 24
204
Splitting up (partitioning) 2 digit numbers
into tens and units, multiplying each and
then adding the answers together.
1
Here are some activities to try
Multiplication
1. Play ‘BINGO’ but instead of just calling the numbers, call them in the form of
a mental times table calculations.
2. Ask your child to work out the cost of more than one of a given item at a
shop
e.g. 3 packets of crisps, 4 cans of juice.
3. Use square pieces of paper and create a matching game with the times table
questions and answers. Play snap, pairs or dominoes with them.
Second Level Stage 1 Multiplication
Division
In this part of the mathematics programme, your child will be:

Completing division calculations in their head, without writing down any
numbers – the calculations will be:
o Using the 2 to 9 times tables
e.g. 32 ÷ 8 = 4
o Using numbers up to 999 and dividing them by 10.
e.g.
H
T
U
5
8
0
5
8

÷ 10
When dividing by 10, all the figures move one
place to the right. This is because they become 10
times smaller.
Completing division calculations in their jotter. The calculations will use
the numbers 0 to 999, and they will be dividing them by the numbers 2 to
9.
e.g.
2
2
2
3
4
6
4
9
5
1
It is important that you child writes down all the
working. This working may be different from the
way you were taught at school. If you are
concerned ask the teacher and they will explain the
methods your child is using.
r1
9
Here are some activities to try
Division
1. To show the relationship between multiplication and division, call out a variety
of multiplication calculations and ask your child to respond with the
corresponding division calculation. (Play bingo, snap, pairs etc. Using this
method)
Second Level Stage 1 Division
Addition
In this part of the mathematics programme, your child will be:

doing adding calculations in their head without writing down any working.
The sums will be:
 addition involving decimal numbers with more than
one digit after the decimal point
e.g.
3.92 + 8.43
 addition involving monetary amounts
e.g.
£7.30 + £5.50
 addition involving measurements
e.g.

0.6kg + 3.7kg
doing adding calculations in their jotter or on paper. These calculations will
include decimal numbers with more than one digit after the decimal point.
e.g.
13.21
+15.78
28.99
Here is an activity to try:
It is important that your child writes down all the
working. The decimal points must line up. This
working may be different from the way you were
taught at school. If you are concerned ask the
teacher and they will explain the methods your
child is using.
3. Look at a receipt from a recent shopping trip. Try adding some of the
items together.
Second Level Stage 2 Addition
Subtraction
In this part of the mathematics programme, your child will be:
 doing subtraction calculations in their head, without writing down any
working. The calculations will be:
 subtraction involving decimal numbers with more than
one digit after the decimal point
e.g.
11 - 0.86
 subtraction involving monetary amounts
e.g.
£8.40 - £1.80
 subtraction involving measurements
e.g.

7.7kg - 4.9kg
Doing subtraction calculations in their jotter or on paper. These calculations will
include decimal numbers with more than one digit after the decimal point.
e.g.
7.48
- 6.35
1.13
It is important that your child writes down all the
working. The decimal points must line up. This
working may be different from the way you were
taught at school. If you are concerned ask the
teacher and they will explain the methods your
child is using.
Here are some activities to try:
1. Look at a receipt from a recent shopping trip. Try subtracting the price of
some items from the total.
2. Give yourself a budget e.g. £20.00. Look up an item in a catalogue/leaflet and
subtract it from your budget.
Second Level Stage 2 Subtraction
Multiplication
In this part of the mathematics programme, your child will be:

Completing multiplication calculations in their head, without writing down any
numbers – the calculations will be:
o Using the 2 to 9 times tables
e.g. 4 x 8 = 32
Using numbers up to 999 and multiplying them by 100.
o
e.g. 58 x 100 = 5800
TH
H
5
8
T
U
5
8
0
0
X 100
When multiplying by 100 all the figures
move two places to the left. This is
because they become 100 times
bigger.
Using numbers up to 999 and multiplying them by 1000.
o
e.g. 58 x 1000 = 58000
TTH
TH
5
H
8
0
T
U
5
8
0
0
X 1000
When multiplying by 1000 all the
figures move three places to the left.
This is because they become 1000
times bigger.
 Multiplying whole numbers by multiples of 100 and 1000.
e.g.
300 x 6 = 1800
First multiply the number in the hundreds column and
then multiply this answer by a hundred as shown above.
3000 x 6 = 18000

Completing multiplication calculations in their jotter. The calculations will use
the numbers 0 to 9999, and they will be multiplying them by the numbers 2 to
9.
e.g.
264
X3
792
It is important that you child writes down all the working. This
working may be different from the way you were taught at
school. If you are concerned ask the teacher and they will
explain the methods your child is using.
3264
X3
9792
It is important that you child writes down all the working. This
working may be different from the way you were taught at
school. If you are concerned ask the teacher and they will
explain the methods your child is using.
1
e.g.
11

Multiplying decimals by a single digit whole number
£ 4
2
·
4
5
·
9
2
0
x
£
First multiply the number in the thousands column and
then multiply this answer by a thousand as shown above.
8
4
1
4
2
8
x
4
·
·
4
2
8
It is important that you child writes down all
the working. This working may be different
from the way you were taught at school.
It is vital that your child keeps each digit and
the decimal point is in the correct columns.
If you are concerned ask the teacher and they
will explain the methods your child is using.
Here are some activities to try
Multiplication
4. Play ‘BINGO’ but instead of just calling the numbers, call out a multiple of
10, 100 and 1000 (e.g. 82 x 100 = 8200)
5. Ask your child to work out the cost of more than one of a given item at a
shop
e.g. 3 packets of crisps, 4 cans of juice.
Second Level Stage 2 Multiplication
Division
In this part of the mathematics programme, your child will be:

Completing division calculations in their head, without writing down any
numbers – the calculations will be:
o Using the 2 to 9 times tables
e.g. 32 ÷ 8 = 4
o Using numbers up to 9999 and dividing them by 10.
e.g. 570 ÷ 10
H
T
U
5
7
0
5
7
÷ 10
When dividing by 10, all the figures move one
place to the right. This is because they become
10 times smaller.
o Using numbers up to 9999 and dividing them by 100.
e.g. 3600 ÷ 100
TH
H
T
U
3
6
0
0
3
6
÷ 100
When dividing by 100, all the figures move
two places to the right. This is because
they become 100 times smaller.
o Using numbers up to 9999 and dividing them by 1000.
e.g. 9000 ÷ 1000
TH
H
T
U
9
0
0
0
÷ 1000
9

Completing division calculations in their jotter. The calculations will use the
numbers 0 to 9999, and they will be dividing them by the numbers 2 to 9.
e.g.
2
3
4
4
6
8
2
4
9
8
5
1
1
2

3
When dividing by 1000, all the figures
move three places to the right. This is
because they become 1000 times smaller.
9
It is important that you child writes down all
the working. This working may be different
from the way you were taught at school.
r1
If you are concerned ask the teacher and they
will explain the methods your child is using.
7
Dividing decimals by a single digit whole number
1
5
9
4
1
2
7
9
·
9
·
2
7
It is important that you child writes down all
the working. This working may be different
from the way you were taught at school.
It is vital that your child keeps each digit and
the decimal point is in the correct columns.
If you are concerned ask the teacher and they
will explain the methods your child is using.
Here are some activities to try
Division
2. To show the relationship between multiplication and division, call out a variety
of multiplication calculations and ask your child to respond with the
corresponding division calculation. (Play bingo, snap, pairs etc. Using this
method)
3. Play ‘BINGO’ but instead of just calling the numbers, call out a division by 10,
100 and 1000 (e.g. 9400 ÷ 10 = 940)
Second Level Stage 2 Division
Addition
In this part of the mathematics programme, your child will
be:
 doing adding calculations in their head without writing
down any working. The sums will be:
 addition involving numbers with 4 or more
digits
e.g. 36000 + 15000
 addition involving decimal numbers with more
than one digit after the decimal point
e.g. 3.92 + 8.43
 addition involving monetary amounts
e.g.
£7.30 + £5.50
 addition involving measurements
e.g.

0.6kg + 3.7kg
doing adding calculations in their jotter or on paper. These calculations will
include decimals of varying decimal places.
e.g.
6.02
+ 1.8
4.06
11.88
It is important that your child writes down all the
working. The decimal points must line up. This
working may be different from the way you were
taught at school. If you are concerned ask the
teacher and they will explain the methods your
child is using.
Here is an activity to try:
4.
Look at a receipt from a recent shopping trip. Try
adding some of the items together.
Second Level Stage 3 Addition
Subtraction
In this part of the mathematics programme, your child will be:
 doing adding calculations in their head without writing down
any working. The sums will be:
 Subtraction involving numbers with 4 or more digits
e.g. 17000 - 9400
 Subtraction involving decimal numbers with more
than one digit after the decimal point
e.g. 4.85 – 2.50
 Subtraction involving monetary amounts
e.g. A gym membership usually costs
£118. Tom gets a discount of £55.
How much does he pay?
 Subtraction involving measurements
e.g.
73.5kg – 12.2kg

doing subtraction calculations in their jotter or on paper. These calculations will
include decimals of varying decimal places.
It is important that your child writes down all the
e.g.
20.00
working. The decimal points must line up. This
- 1.84
working may be different from the way you were
18.16
taught at school. If you are concerned ask the
teacher and they will explain the methods your
child is using.
Here are some activities to try:
1. Look at a receipt from a recent shopping trip. Try subtracting
the price of some items from the total.
2. Give yourself a budget e.g. £20.00. Look up an item in a
catalogue/leaflet and subtract it from your budget.
Second Level Stage 3 Subtraction
Multiplication
In this part of the mathematics programme, your child will be:

Completing multiplication calculations in their head, without writing down any
numbers – the calculations will be:
o Using the 2 to 9 times tables
e.g. 4 x 8 = 32
 Multiplying whole numbers by multiples of 100 and 1000.
e.g.
300 x 6 = 1800
First multiply the number in the hundreds column and
then multiply this answer by a hundred as shown above.
3000 x 6 = 18000
First multiply the number in the thousands column and
then multiply this answer by a thousand as shown above.
 Completing multiplication calculations in their jotter. The calculations will
use the numbers 0 to 9999, and they will be multiplying them by the
numbers 2 to 9.
e.g.
It is important that you child writes down all the working. This
working may be different from the way you were taught at
school. If you are concerned ask the teacher and they will
explain the methods your child is using.
3264
X3
9792
11

Multiplying decimals by a single digit whole number
e.g.
£ 4
2
·
4
5
·
9
2
0
x
£
8

4
4
2
·
x
8
4
·
1
It is important that you child writes down all
the working. This working may be different
from the way you were taught at school.
4
2
8
It is vital that your child keeps each digit and
the decimal point is in the correct columns.
If you are concerned ask the teacher and they
will explain the methods your child is using.
Multiplying decimals by 10, 100 and 1000
e.g. 5·8 x 10 = 58·0
T
5
U
·
t
5
·
8
8
·
0
When multiplying by 10 all the figures move one
place to the left. This is because they become 10
times bigger. The figure in the tenths column
jumps over the decimal point to become a unit.
X 10
e.g. 5·8 x 100 = 580·0
H
T
5
8
U
·
t
5
·
8
0
·
0
X 100
When multiplying by 100 all the figures move
two places to the left. This is because they
become 100 times bigger.
e.g. 5·8 x 1000 = 5800·0
TH
5
H
8
T
0
U
·
t
5
·
8
0
·
0
Second Level Stage 3 Multiplication
X 1000
When multiplying by 1000 all the
figures move three places to the
left. This is because they become
1000 times bigger.
Division
In this part of the mathematics programme, your child will be:

Completing division calculations in their head, without writing down any
numbers – the calculations will be:
o Using whole numbers and decimals and dividing them by 10.
e.g. 58·6 ÷ 10
T
U
·
t
5
8
·
6
5
·
8
h
When dividing by 10, all the figures move
one place to the right. This is because they
become 10 times smaller.
÷ 10
6
o Using whole numbers and decimals and dividing them by 100.
e.g. 678 ÷ 100
6
T
U
·
t
7
8
·
0
6
·
7
h
÷ 100
8
When dividing by 100, all the figures
move two places to the right. This is
because they become 100 times
smaller.
o Using whole numbers and decimals and dividing them by 1000.
e.g. 9140 ÷ 1000
TH
H
T
U
·
9
1
4
0
·
9
·

t
h
÷ 1000
1
4
When dividing by 1000, all the
figures move three places to the
right. This is because they become
1000 times smaller.
Completing division calculations in their jotter. The calculations will use any
number (with or without a decimal,) and they will be dividing them by the
numbers 2 to 9.
These answers will not have a remainder; instead, children will become
familiar with using a decimal fraction as the remainder
e.g.
1
1
6
·
2
5
4
6
25
·
1
2
4

3
0
0
It is important that you child writes down all
the working. This working may be different
from the way you were taught at school.
If you are concerned ask the teacher and they
Dividing decimals by a single digit whole number will explain the methods your child is using.
1
5
9
4
1
2
7
9
·
9
·
2
7
Refer to the school’s website for a variety of interactive maths games to help in
these areas.
Second Level Stage 3 Division