Transcript Written Calculation Methods

Key Stage 2
Years 3 - 6
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Knowledge, understanding and practical application of:
 Compare and order numbers up to 100
 Place value of numbers up to 100
 Bonds (+ and -) to 20 and related facts to 100
 Relationship between + and -, X and ÷
 Number sentences with symbols including =
 multiplication and division facts for 2, 5 and 10
times tables
 Application to solve problems in different contexts
 Expanded method
 Up to 3 digits add 3 digits with answers up to 500
 Moving from the expanded to contracted method
 Three digits add three digits, answers in thousands
 Adding more than two numbers
 Adding decimals
 Range of numbers
 Carrying more than ‘one’
 When secure in understanding of subtraction move to
columnar method
 No exchange needed, expanded then contracted
 Simple exchange, expanded then contracted
 Exchanging through zero place holders
 Using a range of numbers and contexts
 Continue to consider most appropriate and efficient
method
 Times tables – 2,5, 10, 3, 4 and 8
 Partitioning, using a grid and expanded column
methods
 Up to 3 digits by 1 digit
 Times Tables – all up to 12x
 Grid and expanded methods
 Expanded column method by end of year
 Up to 3 digits X by 1 digit and 2 digits X 2 digits
 Totals less than 1000
 Moving to contracted method
 Up to 4 digits x by 2 digits
 Multiplying decimal numbers by whole numbers
 Times tables – 2,5, 10, 3, 4 and 8
 Subtracting on an empty number line with
increasingly large number using multiples in jumps
 When confident in repeated subtraction and have a
secure understanding of division move to long and
short division.
 Long division continues model of subtraction
 Exposure to long division aids understanding later
 Short division learnt alongside long division
 Times Tables (and divisions) – all up to 12x
 Long method modelled to reinforce division process.
 Either long or short method used
 With remainders
 Continue to use short division to divide up to 4 digits
by 1 digit
 Interpret remainders as fractions or decimals
 Dividing decimal numbers
 Short division when dividing by 1 digit
 Long division when dividing by 2 digits
 Using zero place holders to create a decimal remainder
 Number problems and problems
 Word problems
 Arithmetic tests