Maths

The principal focus of mathematics teaching in upper key stage 2, especially Year 6 is to ensure that pupils extend their understanding of the number system and place value to include larger integers – numbers up to 10 million. This should develop the connections that pupils make between multiplication and division with fractions, decimals, percentages and ratio. 

At this stage, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. 

With this basis in arithmetic, pupils are introduced to the language of algebra as a means for solving a variety of problems. 

Teaching in geometry and measures should build on and extend knowledge developed in number. Teaching should also ensure that pupils classify shapes with increasingly complex geometric properties and that they learn the mathematical vocabulary they need to describe them. 

By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages. 

Pupils should read, spell and pronounce all their mathematical terms correctly.

Examples of year 6 learning:

Place Value:

  • Read, write, order and compare numbers up to 10 000 000
  • determine the value of each digit within a 8 digit number
  • Rounding whole numbers  
  • Using negative numbers

Addition and subtraction:

  • Solve addition and subtraction multi-step problems
  • Solve problems involving addition and subtraction. 
  • Using estimation to check answers
  • Perform mental calculations

Multiplication and division:

  • Multiply numbers (up to 4 digits by a two-digit)
  • Identify common factors, common multiples and prime numbers
  • Divide numbers (up to 4 digits by a two-digit whole number) 
  • Perform mental calculations
  • Use their knowledge of the order of operations to carry out calculations involving the four operations – BODMAS. 

Fractions:

  • Equivalent Fractions
  • Simplifying Fractions
  • Comparing and ordering
  • Adding
  • Subtracting
  • Multiplying
  • Dividing by a whole number

Decimals:

  • Writing and reading decimals
  • Dividing whole numbers
  • Writing Fractions as Decimals
  • Multiplying Decimals
  • Dividing Decimals
  • Adding and Subtracting with Decimals

Measurements:

  • Converting Units of Mass
  • Converting Units of Length
  • Converting Units of Volume
  • Converting Units of Time

 

Have a look at the objectives and teaching done within Oak National Academy and White Rose Maths (Links below) to support this.