Year 6 Addition, Subtraction, Multiplication and Division Programme of Study (statutory requirements)
Year 6 Addition, Subtraction, Multiplication and Division Programme of Study
Addition, Subtraction, Multiplication and Division
Pupils should be taught to:
• multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
• divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
• perform mental calculations, including with mixed operations and large numbers.
• identify common factors, common multiples and prime numbers
• use their knowledge of the order of operations to carry out calculations involving the four operations
• solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
• solve problems involving addition, subtraction, multiplication and division
• use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy.
Year 6 Addition, Subtraction, Multiplication and Division Programme of Study
Formal written methods of long multiplication and long division are at the forefront of Year 6 work. Whilst children will be expected to practise addition and subtraction there are no new targets apart from using skills learnt previously in Year 5 to solve problems.
The order of calculating is also emphasised, including using brackets. The acronym BODMAS probably conjures up memories of school maths for many people and it is still as important today. It stands for:
Brackets
Of
Division
Multiplication
Addition
Subtraction.
Let's look at: 2 + 4 x 3 =
It is a convention to ensure everyone carries out a question such as that above in the same order. Numbers in brackets are worked out first, followed by multiplication and division with addition and subtraction last.
One way to do the question is: 2 + 4 = 6. 6 x 3 = 18.
It can also be done like this: 4 x 3 = 12. 12 + 2 = 14.
If you use a calculator and key in 2 + 4 x 3 you might get 18 or 14, it depends on the type of calculator you use (simple of scientific). So which is ‘correct’?
Answer: 14
So with 2 + 4 x 3, the first thing to do is 4 x 3, then add the 2.
To make this easier we often put brackets round parts of the question, to make it clearer, like this:
2 + ( 4 x 3 )
Primary children in Year 6 are now introduced to the term BODMAS to help with working in the correct order.
Go to Year 6 Multiplication
Go to Year 6 Division