# Calculation Booklet

## St. Dominic’s Catholic Primary School

## Calculation Policy

You can view the policy below, or it can be downloaded from here.

**Year 1**

**Addition and subtraction **

Pupils should be taught to:

- read, interpret and practise writing mathematical statements involving addition (+), subtraction (-) and equals (=) signs accurately.
- add and subtract 1-digit and 2-digit numbers to 20 (9 + 9, 18 – 9), including zero.
- add three 1-digit numbers.
- recall and use number bonds and related subtraction facts within 20.
- solve simple word problems that involve addition and subtraction.

**Multiplication and division **

Pupils should be taught to:

- recognise and write the multiplication symbol (x) and the division symbol (÷) in mathematical statements, calculating the answer with the teacher using concrete objects.
- solve word problems involving simple multiplication and division, with teacher support.

**Year 2**

**Addition and subtraction **

Pupils should be taught to:

- rapidly recall and use addition and subtraction facts to 20.
- add and subtract numbers with up to two 2-digits including using column addition without carrying and column subtraction without borrowing.
- add and subtract numbers mentally including:

– a 2-digit number and ones

– a 2-digit number and tens

– two 2-digit numbers

- use subtraction in ‘take away’ and ‘find the difference’ problems.
- recognise and show that addition can be done in any order (commutative) and subtraction cannot.
- recognise and use addition and subtraction as inverse operations including to check calculations.
- solve word problems with addition and subtraction of numbers with up to 2-digits.

**Multiplication and division **

Pupils should be taught to:

- recall multiplication and division facts for the 2, 3, 5 and 10 multiplication tables.
- use the multiplication (x), division (÷) and equals (=) signs to read and write mathematical statements.
- write and calculate mathematical statements for multiplication and division within the multiplication tables.
- recognise and use the inverse relationship between multiplication and division to check calculations.
- ensure pupils can recognise and show that multiplication can be done in any order (commutative) and division cannot.
- solve word problems involving multiplication and division.

**Year 3 **

**Addition and subtraction **

Pupils should be taught to:

- add and subtract numbers with up to 3 digits, including using columnar addition and subtraction.
- accurately add and subtract numbers mentally including: pairs of one- and 2-digit numbers; 3-digit numbers and ones; 3-digit numbers and tens; 3-digit numbers and hundreds.
- solve word problems including missing number problems, using number facts, place value, and more complex addition and subtraction.

**Multiplication and division **

Pupils should be taught to:

- recall and use multiplication and division facts for the 2, 3, 4, 5, 10 and 11 multiplication tables (and 8 through repeated doubling).
- write and calculate mathematical statements for multiplication and division within the multiplication tables; and for 2-digit numbers x 1-digit numbers, using mental and written methods.
- solve word problems involving the four operations, including missing number problems.

**Year 4**

**Addition and subtraction **

Pupils should be taught to:

- add and subtract numbers using formal written methods with up to 4 digits.
- accurately add and subtract numbers mentally including two 2-digit numbers.
- estimate, within a range, the answer to a calculation and use inverse operations to check answers.

**Multiplication and division **

Pupils should be taught to:

- recall multiplication and division facts for multiplication tables up to 12 x 12.
- mentally perform multiplication and division calculations quickly and accurately, including multiplying by 0 and dividing by 1.
- multiply or divide 2-digit and 3-digit numbers by a 1-digit number using formal written methods; interpret remainders appropriately as integers.
- recognise and use factor pairs within 144.
- solve word problems involving the four operations.
- find the effect of dividing a 2-digit number by 10 and 100, identifying the value of the digits in the answer as units, tenths and hundredths.

**Year 5**

**Addition and subtraction **

Pupils should be taught to:

- add and subtract whole numbers with up to 5 digits, including using formal written methods.
- add and subtract numbers mentally with increasingly large numbers.
- add and subtract numbers with up to three decimal places.

**Multiplication and division **

Pupils should be taught to:

- identify multiples including common multiples, and factors including common factors.
- know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers.
- establish whether a number up to 100 is prime and recall the prime numbers up to 19.
- multiply numbers up to 4-digits by a 1 or 2-digit number using a formal written method, including long multiplication.
- accurately multiply and divide numbers mentally drawing upon known facts.
- divide numbers up to 4 digits by a 1-digit number and 10 and interpret remainders appropriately.
- multiply and divide numbers by 10, 100 and 1000.
- recognise and use square numbers and square roots and the notation for square (2) and square root (√)
- solve word problems involving addition and subtraction, multiplication and division.

**Year 6**

**Addition, subtraction, multiplication and division **

Pupils should be taught to:

- add and subtract negative integers.
- multiply numbers with at least 4-digits by 2-digits of whole number using long multiplication.
- divide numbers up to 4-digits by a 2-digit whole number using long division, and interpret remainders as whole number remainders, fractions, decimals or by rounding.
- perform mental calculations, including with mixed operations and large numbers.
- use estimation to check answers to calculations and determine in the context of a problem whether an answer should be rounded, or written as a fraction or a decimal.
- carry out combined operations involving the four operations accurately and state the order of operations.
- solve word problems involving addition, subtraction, multiplication and division.
- identify the value of each digit to three decimal places and multiply and divide numbers up to three decimal place by 10, 100 and 1000.
- multiply and divide numbers with up to two decimal places by 1-digit and 2-digit whole numbers
- recognise and use division in the context of fractions, percentages and ratio.
- solve linear missing number problems, including those involving decimals and fractions, and find pairs of number that satisfy number sentences involving two unknowns.