Our Maths Calculation Policy explains the overall approach to Maths and how we expect children to progress. The document also illustrates the methods children will use in order to achieve the expectations of the curriculum and gives examples of these.

Maths mastery objectives for children in each year group are explained below. Your child should have mastered each by the end of the year group.

## Year 3

- Recognises the place value of each digit in a three-digit number (hundreds, tens and ones)
- Find 10 or 100 more or less than a given number
- Fluently can add all single digit combinations and their inverses
- Fluent recall of number bonds to 20 and the inverse
- Efficiently calculate number bonds to 100 mentally
- Round numbers to the nearest 10 and 100
- Adds and subtracts numbers mentally including: a three-digit number and ones; a three-digit number and tens; and a three-digit number and hundreds
- Record addition and subtraction calculations in a logical, structured format to demonstrate their reasoning with up to three-digit by three-digit numbers
- Adds and subtracts amounts of money to give change, using both £ and p in practical contexts
- Presents data using bar charts and tables
- Solve one step and two step questions (for example ‘How many more?’ and ‘How many fewer’) using information presented in scaled bar charts, pictograms and tables

## Year 4

- Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
- Orders and compares numbers beyond 1,000
- Counts backwards through zero to include negative numbers
- Rounds any number to the nearest 10, 100 or 1,000
- Derive number bond facts to 1000
- Adds and subtracts numbers with up to 4 digits using formal written methods of columnar addition and subtraction where appropriate
- Use and apply commutative and associative laws for addition
- Solves addition and subtraction two-step mixed word problems in context, deciding which operations and methods to use and why
- Interpret and present discrete and continuous data using appropriate graphical methods including bar charts and time graphs
- Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
- Reads and writes the time from an analogue clock and 12-hour and 24-hour to the nearest minute (including using Roman numerals from 1 to XII)
- Convert between analogue and digital 12 and 24-hour clock
- Know the number of seconds in a minute and the number of days in each month, year and leap year
- Use vocabulary such as O’clock, AM/PM, morning, afternoon, noon and midnight
- Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days
- Calculate and compare durations of events (e.g. calculating time taken by particular events or tasks)

## Year 5

- Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
- Orders and compares numbers beyond 1,000
- Counts backwards through zero to include negative numbers
- Rounds any number to the nearest 10, 100 or 1,000
- Derive number bond facts to 1000
- Adds and subtracts numbers with up to 4 digits using formal written methods of columnar addition and subtraction where appropriate
- Use and apply commutative and associative laws for addition
- Solves addition and subtraction two-step mixed word problems in context, deciding which operations and methods to use and why
- Interpret and present discrete and continuous data using appropriate graphical methods including bar charts and time graphs
- Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
- Reads and writes the time from an analogue clock and 12-hour and 24-hour to the nearest minute (including using Roman numerals from 1 to XII)
- Convert between analogue and digital 12 and 24-hour clock
- Know the number of seconds in a minute and the number of days in each month, year and leap year
- Use vocabulary such as O’clock, AM/PM, morning, afternoon, noon and midnight
- Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days
- Calculate and compare durations of events (e.g. calculating time taken by particular events or tasks)

## Year 6

- Read, write, order and compare numbers to 10,000,000 and determine the value of each digit
- Read, write, order and compare numbers with up to three decimal places, relating this to knowledge and understanding of “tenths”, “hundredths” and “thousandths”
- Multiply and divide whole numbers and those involving decimals by powers of ten
- Use, read, write and convert between different units of metric measure, using decimal notation up to 3dp
- Interpret negative numbers in context and calculates intervals across zero
- Round any whole number to the nearest, 10, 100, 1000, 10,000, 100,000, 1,000,000
- Round decimals with 3 decimal places to the nearest whole number, 1dp and 2dp
- Perform mental calculations, including with mixed operations and large numbers
- Identify common factors, prime factors, common multiples, prime numbers and composite numbers
- Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
- Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days including time intervals
- Read and interpret timetables
- Interpret and present discrete and continuous data using appropriate graphical methods including bar charts and time graphs
- Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and line graphs