The National Curriculum for mathematics aims to ensure that all pupils:
- Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
- Can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
Pupils throughout school are provided with a range of activities and opportunities to develop these mathematical skills through individual, paired and group work.
They will be able to move fluently between representations of mathematical ideas in different contexts.
During the Early Years Foundation Stage, children will be learning basic number skills involving counting on and back, recognising and writing numbers. They will also identify and name basic shapes, recognise, describe and repeat patterns and use vocabulary associated with measures.
Through Years 1 and 2, these skills will be developed further as children become more confident with mental fluency of whole numbers, counting and place value. This will involve working with numerals, words and the four operations, including with practical resources. Children will begin to solve simple problems and explain their answers using mathematical vocabulary. They will also recognise, describe, draw, compare and sort different shapes and use a range of measure to compare and describe different quantities.
Through Years 3 and 4, children will work with increasingly large whole numbers, as well as negative numbers and decimals. They will be taught efficient mental and written methods using the four operations. They will also develop mathematical reasoning so they can analyse shapes and their properties and use measuring instruments with increasing accuracy. By the end of Year 4, children should also have memorised their multiplication tables up to 12 x 12, showing precision and fluency in their work.
Through Years 5 and 6, children will extend their knowledge and understanding of the number system, developing connections between the four operations and using efficient written methods for these. They will be solving a wider range of problems that use all these skills and reason about them mathematically. Algebra is introduced as a means for solving a variety of problems. Geometry and measures work will also consolidate and extend knowledge already developed. By the end of Year 6, children should be fluent in written methods for all four operations including long multiplication and division, and in working with fractions, decimals and percentages. This will help to prepare them for their end of Key Stage tests where they will have to apply their mental arithmetic, reasoning and problem solving skills.
To support the learning of times tables up to 12 x 12, we have introduced the Superheroes Times Tables Challenge throughout school. Help your child to learn their times tables at home so they can defeat the challenges and earn their awards!
We have also signed up to 'Times Tables Rock Stars'! Children can log in to their accounts at home and compete against others to practise quick recall of multiplication facts.