What are the expectations for pupils in Year 5 and Year 6?

The principal focus of mathematics teaching in upper Key Stage 2 is to ensure that pupils extend their understanding of the number system and place value to include larger integers.

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 foundation 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 consolidate and extend knowledge developed in number. Teaching should also ensure that pupils classify shapes with increasingly complex geometric properties and that they learn the 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 mathematical vocabulary correctly.

The programme of study for Year 5 is divided into the following areas:

• Number and place value
• Addition and Subtraction
• Multiplication and Division
• Fractions including decimals and percentages
• Measurement
• Geometry - properties of shape, position and direction
• Statistics.

The programme of study for Year 6 is divided into the following areas:

• Number and place value
• Addition and Subtraction
• Multiplication and Division
• Fractions including decimals and percentages
• Ratio and proportion
• Algebra
• Measurement
• Geometry - properties of shape, position and direction
• Statistics.