Written Calculation Strategies Key Stage 1 & 2 · 2014. 11. 30. · Related Counting/Mental Maths Objectives (This list is not indicative of all mental maths objectives) Y5 A add

Written Calculation Strategies

Key Stage 1 & 2

Crosland Moor Junior School Dryclough Road, Crosland Moor

Huddersfield HD4 5HX

Addition Related Counting/Mental Maths Objectives

(This list is not indicative of all mental maths objectives) F

S

Read and write numbers from 1-20 in numerals

1 more (numbers up to 20)

Number bonds to 10

Y1

add and subtract one-

digit and two-digit

numbers to 20,

including zero

Count to and across 100 (forwards and backwards from 0

or 1)

Given a number identify 1 more or 1 less

Count read and write numbers to 100 in numerals

Count in multiples of 2, 5 and 10

Represent and use number bonds and related subtraction

facts up to 20

Recall addition facts up to 20

Y2

add and subtract

numbers using

concrete objects,

pictorial

representations, and

mentally, including:

a two-digit number

and ones

a two-digit number

and tens

two two-digit

numbers

adding three one-

digit numbers

Recognise the place value of each digit in a two-digit

number (tens, ones)

Count in steps of 2, 3, and 5 from 0, and in tens from any

number, forward and backward

Fluently recall number bonds to 20

Fluent recall addition and subtraction facts to 20

Derive and use related facts up to 100 e.g. pairs (multiples

of ten) that add to make 100.


(This list is not indicative of all mental maths objectives) Y

3

add and subtract

numbers with up to

three digits, using

formal written

methods of columnar

addition and

subtraction

Recognise the place value of each digit in a three-digit

number (hundreds, tens, ones)

Read and write numbers up to 1000 in numerals

Pairs of 2 digit multiples of 5 that add to make 100

Pairs of multiples of 50 that total 1000

Find 1, 10 or 100 more or less than a given number

Add and subtract numbers mentally, including:

a three-digit number and ones

a three-digit number and tens

a three-digit number and hundreds

Y4

add and subtract

numbers with up to 4

digits using the formal

written methods of

columnar addition and

subtraction where

appropriate

solve simple measure

and money problems

involving fractions and

decimals to two

decimal places.

Recognise the place value of each digit in a four-digit

number (thousands, hundreds, tens, and ones)

Find 1000 more or less than a given number

Recognise the value of each digit in decimal numbers with

the same amount of decimal places (up to two decimal

places)


(This list is not indicative of all mental maths objectives) Y

5

add and subtract whole

numbers with more

than 4 digits, including

using formal written

methods (columnar

addition and

subtraction)

solve problems

involving number up to

three decimal places

Read, write, order and compare numbers to at least

1 000 000 and determine the value of each digit

Count forwards or backwards in steps of powers of 10 for

any given number up to 1 000 000

Add and subtract numbers mentally with increasingly large

numbers

Derive number bonds up to 1 (2dp)


Mentally add two decimal numbers e.g. 19.7 + 3.4

Y6

Read and write numbers up to 10 000 000 and determine

the value of each digit

Perform mental calculations, including with mixed

operations and large numbers

Subtraction

Related Counting/Mental Maths Objectives (This list is not indicative of all mental maths objectives)

FS

Read and write numbers from 1-20 in numerals

Counting forwards and backwards to 20

1 less (numbers up to 20)

Number bonds to 10

Y1

add and subtract one-

digit and two-digit

numbers to 20,

including zero

Count to and across 100 (forwards and backwards from 0

or 1)

Count read and write numbers to 100 in numerals

Given a number identify 1 more or 1 less, 10 more /10 less.

Represent and use number bonds and related subtraction

facts up to 20

Recall subtraction facts up to 20.

Y2

add and subtract

numbers using

concrete objects,

pictorial

representations, and

mentally, including:

a two-digit number

and ones

a two-digit number

and tens

two two-digit

numbers

adding three one-

digit numbers

Recognise the place value of each digit in a two-digit

number (tens, ones)

Count in steps of 1, 2, 3, and 5 from 0, and in tens from any

number, forwards and backwards

Fluently recall number bonds to 20

Fluently recall subtraction facts to 20

Derive and use related facts up to 100 e.g. pairs (multiples

of ten) that add to make 100.

Show that addition of two numbers can be done in any

order (commutative) and subtraction of one number from

another cannot

Subtraction


Y3

add and subtract

numbers with up to

three digits, using

formal written

methods of columnar

addition and

subtraction

Recognise the place value of each digit in a three-digit

number (hundreds, tens, ones)

Read and write numbers up to 1000 in numerals

Find 1, 10 or 100 more or less than a given number up to

1000

Recall pairs of 2 digit multiples of 5 that add to make 100

Recall pairs of multiples of 50 that total 1000

Mentally subtract 2 digit numbers e.g. TU-TU

Count from 0 in multiples of 4, 8, 50 and 100;

Y4

add and subtract

numbers with up to 4

digits using the formal

written methods of

columnar addition and

subtraction where

appropriate

solve simple measure

and money problems

involving fractions and

decimals to two

decimal places.

Recognise the place value of each digit in a four-digit

number (thousands, hundreds, tens, and ones)

Find 1000 more or less than a given number

Count in multiples of 6, 7, 9, 25 and 1000

Subtraction


Y5

add and subtract whole

numbers with more

than 4 digits, including


methods (columnar

addition and

subtraction)

solve problems

involving number up to

three decimal places

Read, write, order and compare numbers to at least

1 000 000 and determine the value of each digit

Count forwards or backwards in steps of powers of 10 for

any given number up to 1 000 000

Add and subtract numbers mentally with increasingly large

numbers



Mentally subtract using two decimal numbers e.g. 19.5 - 3.6

Y6

Extend to a wider range of problem solving tasks.

Read, write, order and compare numbers up to 10 000 000

and determine the value of each digit

round any whole number to a required degree of accuracy



Multiplication Related Counting/Mental Maths Objectives

(This list is not indicative of all mental maths objectives) F

S

Through grouping and

sharing small

quantities, pupils begin

to understand:

multiplication and

division;

Count on an back in 1s and 2s to 20

Y1

doubling numbers and

quantities; and finding

simple fractions of

objects, numbers and

quantities.

solve one-step

problems involving

multiplication and

division, by calculating

the answer using

concrete objects,

pictorial

representations and

arrays with the

support of the

teacher.

Count on and back in steps of 1, 2, 5 and 10, moving onto

multiplication facts for the 2 and 10 times table.

Recall doubles of numbers to 10 e.g. 9+9

Y2

solve problems

involving multiplication

and division, using

materials, arrays,

repeated addition,

mental methods, and

multiplication and

division facts, including

problems in contexts.

Fluently recall and use multiplication facts for the 2, 5 and

10 multiplication tables

Recall doubles of numbers to 15 e.g. 14 + 14

Count on and back in steps of 3, leading to multiplication

facts for the 3 times table.

Y3

write and calculate

mathematical

statements for

multiplication and

division using the

multiplication tables

that they know,

including for two-digit

numbers times one-

digit numbers, using

mental and progressing

to formal written

methods

Fluently recall and use multiplication facts for the 3, 4 and

8 multiplication tables

Mentally double multiples of 10 and 100

Mentally double 2 digit numbers up to 30 e.g. Double 26

Multiply whole numbers by 10 and 100

Y4

multiply two-digit and

three-digit numbers by

a one-digit number


layout

Fluently recall facts for multiplication tables up to 12 × 12

Use facts to mentally multiply higher multiples e.g. 6x7 =

42 so 60 x 7 = 420

Mentally multiply by using knowledge of factors e.g 4 x 8 =

4 (x2 x2 x2)

Understand multiplying by 0 and 1; dividing by 1

Mentally multiply together three numbers

Recognise and use factor pairs and commutativity in mental

calculations

Multiply whole numbers by 10, 100 and 1000

Y5

multiply numbers up to

4 digits by a one- or

two-digit number using

a formal written

method, including long

multiplication for two-

digit numbers

U x U.t

Fluently multiply mentally drawing upon known facts:

3 x 4 = 12 so 300 x 40 = 12 000

8 x 7 = 56 so 0.8 x 7 = 5.6

Recall doubles of decimals (1dp) to 10 e.g. Double 8.7

Identify multiples and factors, including finding all factor

pairs of a number, and common factors of two numbers

Multiply and divide whole numbers and those involving

decimals by 10, 100 and 1000

Y6

multiply multi-digit

numbers up to 4 digits

by a two-digit whole

number using the

formal written method

of long multiplication

multiply one-digit

numbers with up to two

decimal places by

whole numbers



Mentally multiply whole numbers and decimals by

10/100/1000

Division Related Counting/Mental Maths Objectives (This list is not indicative of all mental maths objectives)

FS

Through grouping and

sharing small

quantities, pupils begin

to understand:

multiplication and

division;

Count on and back in 1 and 2 to 20

Y1

solve one-step

problems involving

division, by calculating

the answer using

concrete objects,

pictorial

representations and

arrays with the

support of the

teacher.

Count on and back in steps of 1, 2, 5 and 10, moving onto

division facts for the 2 and 10 times table.

Recall halves of numbers to 20 e.g. Half of 18 = 9

Y2

As above with strong

focus on:

using multiplication and

division facts for the

2, 5 and 10


Fluently recall and use division facts for the 2, 5 and 10


Recall halves of even numbers to 30 e.g. Half of 28 =14

Count on and back in steps of 3, moving onto division facts

for the 3 times table.

Show that multiplication of two numbers can be done in any

order (commutative) and division of one number by another

cannot

Y3

use multiplication and

division facts for the

3, 4 and 8


Fluently recall and use division facts for the 3, 4 and 8


Mentally calculate halves of multiples of 10 and 100 moving

onto halves of 2 and 3 digit even numbers.

Divide whole numbers by 10 and 100

Y4

Divide numbers up to 3

digits by 1 digit using

the formal written

method of long division

Fluently recall and use division facts for multiplication

tables up to 12 × 12

Use facts to mentally divide higher multiples e.g. 42 ÷ 7 =6

so 420 ÷ 7 = 60

Mentally divide by using knowledge of factors e.g 32 ÷ 4 =

32 ÷ 2 ÷ 2

Understand multiplying by 0 and 1; dividing by 1

Divide whole numbers by 10, 100 and 1000

Y5

divide numbers up to 4

digits by a one-digit

number using the


of short division and

interpret remainders

appropriately for the

context

Recall halves of decimals (1dp) to 10 e.g. Half of 7.4



Divide whole numbers and those involving decimals by 10,

100 and 1000

Divide numbers mentally drawing upon known facts e.g. 42

÷ 7 =6 so 420 ÷ 70 = 6



Y6

divide numbers up to 4

digits by a two-digit

whole number using the


of long division

Divide decimals by a 1

digit number



Identify the value of each digit in numbers given to three

decimal places and multiply and divide numbers by 10, 100

and 1000 giving answers up to three decimal places

Documents

Written Calculation Strategies Key Stage 1 & 2 · 2014. 11. 30. · Related Counting/Mental Maths Objectives (This list is not indicative of all mental maths objectives) Y5 A add