Shears Green Junior School
Written Calculation at a Glance
July 2015
Written Calculation At A Glance
Year
Addition
Subtraction
3
Use of Manipulatives to bridge to compact method.
Making the link between the practical and columnar subtraction
To ensure the statutory final written method is grounded in
understanding, this stage connects the practical equipment to the formal
written method using a similar and transferrable layout.
To ensure the statutory final written method is grounded in understanding, this stage
connects the practical equipment to the formal written method using a similar and
transferrable layout.
The use of money also suits this method.
Compact column method
In this method, recording is reduced further. Carry digits are recorded
below the line, using the words ‘carry ten’ or ‘carry one hundred’, not
‘carry one’.
Compact Method
Ensure that children can explain the compact method, referring to the real value of the
digits. They need to understand that they are repartitioning the 60 + 3 as 50 + 13.Later,
extend to multiple steps of exchanging and decimals.
258
3 6. 6
8 7
or 4 5 .8
5 1
5 6 3
345
8 2. 4
-2 4 6
1 1
This should be to 3 digit plus 3 digit integers.
This document agrees with the Shears Green Calculation Policy Reviewed July 2015.
3 1 7
This should be to 3 digit minus 3 digit integers.
For extra detail please see full policy.
Now
sect
Written Calculation At A Glance
Year
Addition
Subtraction
4
Compact column method
Compact Method
In this method, recording is reduced further. Carry digits are recorded
below the line, using the words ‘carry ten’ or ‘carry one hundred’, not
‘carry one’.
Ensure that children can explain the compact method, referring to the real value of the
digits. They need to understand that they are repartitioning the 60 + 3 as 50 + 13.
258
3 6. 6
8 7
or 4 5 .8
345
8 2. 4
5 1
5 6 3
-2 4 6
3 1 7
1 1
This should be to 4 digit plus 4 digit integers.
5
Compact column method
Compact Method
In this method, recording is reduced further. Carry digits are recorded
below the line, using the words ‘carry ten’ or ‘carry one hundred’, not
‘carry one’.
Ensure that children can explain the compact method, referring to the real value of the
digits. They need to understand that they are repartitioning the 60 + 3 as 50 + 13.Later,
extend to multiple steps of exchanging and decimals.
258
3 6. 6
8 7
or 4 5 .8
345
8 2. 4
1 1
6
This should be to 4 digit minus 4 digit integers.
5 1
5 6 3
-2 4 6
3 1 7
This should be more that 4 digit plus more than 4 digit integers. Should
also include adding including decimals.
This should be more that 4 digit minus more than 4 digit integers. Should also include
subtracting including decimals.
As above extended to larger numbers and more decimal places.
As above extended to larger numbers and more decimal places.
This document agrees with the Shears Green Calculation Policy Reviewed July 2015.
For extra detail please see full policy.
Written Calculation At A Glance
Year
Multiplication
Division
3
Single digit times single digit 3x4 =12
Written in terms of chunking:
Double digit times single digits:
1)Record using arrays. (equipment can be used to support
understanding).
Remainders can be
Single digit and small numbers written as an array:
2) Develop Arrays to grid method:
Remainders can be given in terms of leftover.
This document agrees with the Shears Green Calculation Policy Reviewed July 2015.
For extra detail please see full policy.
Written Calculation At A Glance
Year
Multiplication
Division
4
Compact Short Method
Compact Short Method
Develop formal written short method for 2 and 3 digit integers by
one digit integers.
This should be introduced with manipulatives to end with formal method on the right.
It should be checked using arrays.
Remainder if given should e as remainders (can use term leftover).
This document agrees with the Shears Green Calculation Policy Reviewed July 2015.
For extra detail please see full policy.
Written Calculation At A Glance
Year
Multiplication
Division
5
Compact Short Method
Compact Short Method
Develop formal written short method for 4 digit integers by one
digit integers.
Again start to solve calculations with remainders.
Compact Method of Long Multiplication
Children can look at putting remainders into decimals using this method
1) Back to arrays
Children can look at putting remainders into fractions using this method
2) Develop to formal written
method:
This document agrees with the Shears Green Calculation Policy Reviewed July 2015.
For extra detail please see full policy.
Written Calculation At A Glance
Year
Multiplication
Division
6
Compact Short Method
Compact Short Method
As above extended to larger numbers and more decimal places.
Compact Method of Long Multiplication
Compact Method of Long Division
This should be through the use of efficient chunking (not repeated subtraction
of 10 lots of a number but using mental skills to support).
Getting pupils to write out their multiplication menu will help:
As above extended to larger numbers and decimal places.
This document agrees with the Shears Green Calculation Policy Reviewed July 2015.
Develop from empty array to formal method
For extra detail please see full policy.