Home   Calculation Booklet

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.