The principal focus of mathematics in Year 6 is to ensure pupils have a very deep understanding of number. They will be fluent in mental and written calculations using addition, subtraction, multiplication and division. They will be using numbers up to 10 million in these calculations. Pupils also consolidate their understanding of fractions, decimals and percentages. They will be able to apply this knowledge of number to the introduction of algebra as a means to solve complex problems. Their work in geometry will require the use of their number knowledge and applied to a variety of problems to solve. These problems will include real life contexts and applications including, work on finding the radius of a circle and missing angles on a triangle to name a few. Children will also learn about ratio and proportion along with contextual use of statistics, measure, position and direction.

We’ve broken the year’s key learning into 10 skills. If children can master these in year 6, they will make a flying start to year 7, the first year at high school. These skills won’t necessarily be mastered in order.

**Skill 1**

Solve number and practical problems that involve reading writing, ordering and comparing numbers up to ten million.

Skill 2

Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places.

**Skill 3**

Use symbols and letters to represent variables, including missing numbers, lengths, coordinates and angles.

Skill** 4**

Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons.

**Skill 5**

Use knowledge of the order of operations to carry out calculations involving the four operations.

**Skill 6**

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

**Skill 7**

Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places.

**Skill 8**

Use the four operations to solve a variety of fraction calculations.

**Skill 9**

Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

**Skill 10**

Select the most efficient method of calculation using the four operations.