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Welcome to the parent’s

workshop about written

methods in maths

Mrs Membrino

Mrs Martin

Aims

To work through each of the expanded and

formal (traditional) methods we teach at St.

Cecilia’s for addition, subtraction,

multiplication and division.

÷÷÷

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Why?

• We want all children to develop

efficient methods of calculation with

all four operations.

• We want children to be able to choose an

appropriate method for the calculation

e.g. mental, mental with jottings,

expanded written, formal written,

calculator

• We know that children all develop at

different rates.

• We want children to develop a

mathematical understanding, a feel for the

value of number, NOT just learning a

mechanical method that is prone to error.

• We want to develop “learners for

life.”

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Y6 SATs question

1003 – 97 =

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The Basics

Recognise, read

and write numbers

Know what

numbers mean

Understand place

value

Count on and

back in steps

of the same

size

Put numbers in order

Partition a

number and

recombine it

40404040

8888

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The basics

Partition – splitting a number up

e.g.

123 =

Recombine – putting a number back

together

e.g.

100 + 20 + 3 =

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Addition

• Words linked to +

Add, addition, and,

count on, plus, sum,

more, altogether,

increase

• Know your number bonds – pairs of

numbers that make 10 or 20

• Addition is counting on and can be done

in any order

• BIGGEST number first

• Add single digit numbers below 10 e.g. 3 +

5

….then crossing over 10 (bridging)

e.g. 8 + 7

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Addition – Number line method

34 + 47 =

Have a go!

56 + 37 =

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Addition – Expanded method

34 + 47 =

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Addition – Expanded method

123 + 241 =

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Addition – Expanded method

Have a go!

243 + 252 =

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Addition – Formal method

265 + 349 =

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Subtraction

• Words linked to –

Take away, subtract,

subtraction, count back, minus, less,

decrease, difference between

• Know subtraction facts for numbers up

to 10 and 20.

• Find the difference between numbers by

counting up from the smaller number.

• Subtract single digit numbers below 10

and then crossing through (bridging) 10.

• Biggest number FIRST.

• Exchanging – swapping a 10

for 10 ones.

Subtraction – number line method

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84 – 56 =

Have a go!

72 – 38 =

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Subtraction – expanded method

81 – 57 =

Have a go!

93 – 56 =

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Subtraction – formal method

754 – 286 =

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Multiplication

• Words linked to x

Multiply, multiplication, multiple, double,

array, times, lots of

• Times tables

Year 1 – recalling doubles to 10,

counting on and back in 2’s, 5’s and 10’s

Year 2 – 2x, 5x and 10x tables and

division facts

Year 3 – 2x, 3x, 4x, 5x, 6x and 10x tables

and division facts

Year 4 – All multiplication facts to 10

x 10 and division facts

Year 5 + 6 – Using multiplication facts to

10 x 10 e.g. 50 x 6 or 0.7 x 3

• Know that x is repeated addition.

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Multiplication – number line method

8 x 3 =

16 x 4 =

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Multiplication – grid method

126 x 3 =

Have a go!

232 x 4 =

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Multiplication – grid method

24 x 16 =

Have a go!

35 x 23 =

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Multiplication – expanded method

126 x 3 =

Have a go!

143 x 5 =

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Multiplication – formal method

3272 x 4 =

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Division

• Words linked to ÷ Group, divide, division, divided by,

divisible, factor, share, half, halve,

remainder,

• Know division facts as well as times

tables e.g. 3 x 5 = 15 and 15 ÷ 5 = 3.

• Share things out equally and then begin

to understand remainders

• Groups objects to divide them leading on

to number line method.

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Division – number line method

40 ÷ 8 =

37 ÷ 6 =

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Division – repeated subtraction

method

73 ÷ 4 =

Have a go!

98 ÷ 5 =

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Division – formal method (short

division)

196 ÷ 6 =

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Division – repeated subtraction

(larger numbers)

972 ÷ 36 =

Have a go!

864 ÷ 24 =

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Thank you very much for

coming.

Please fill in an evaluation

form.