Weston Village Primary SchoolMathematics
Mathematics at Weston
At Weston Village Primary School, we want every child to become a confident, capable and thoughtful mathematician.
Mathematics is about much more than getting an answer. Children learn to understand number and mathematical structures, calculate efficiently, reason about relationships, solve problems and explain their thinking clearly.
We place particular importance on secure foundations and mathematical fluency so that children can tackle increasingly complex ideas with confidence.
What Children Learn
Our mathematics curriculum develops the key areas of the National Curriculum, including:
number and place value
addition, subtraction, multiplication and division
fractions, decimals and percentages
ratio and proportion
algebra
measurement
geometry
statistics.
Learning is carefully sequenced so that new concepts build on what pupils already know.
Our current long-term plan shows this progression from early number, shape and measure in Reception through to increasingly sophisticated work with number, fractions, geometry, ratio and algebra in Key Stage 2.
Our Approach to Teaching Mathematics
We use Power Maths: White Rose Maths Edition as the main structure for our mathematics curriculum from Reception to Year 6.
The current edition is aligned with the White Rose Maths schemes of learning and is designed around a mastery approach, with pupils developing secure conceptual understanding before moving on to increasingly complex applications.
Lessons are designed to help children:
understand important mathematical structures and relationships
develop efficient calculation strategies
use mathematical vocabulary precisely
explain and justify their thinking
practise until important knowledge becomes fluent
apply mathematics to unfamiliar problems.
Concrete, Pictorial and Abstract Representation
An important part of our approach is the Concrete–Pictorial–Abstract (CPA) model.
Children may first encounter an idea using practical resources such as counters, cubes, tens frames or place-value equipment. They then use pictures, diagrams and models before moving towards increasingly abstract mathematical notation.
These stages are not simply for younger children. Representations are used whenever they help pupils understand the underlying mathematics.
The Power Maths calculation guidance explicitly uses this CPA progression to develop both conceptual understanding and efficient written and mental methods.
Fluency
Children need important number facts and procedures to become increasingly automatic so that their attention can be used for more complex thinking.
Fluency therefore includes:
counting and number sense
number bonds
mental calculation
multiplication and division facts
efficient written methods
regular retrieval of previously learned knowledge.
Children are encouraged to use known facts flexibly rather than relying on inefficient counting strategies. In Key Stage 1, for example, Power Maths develops calculation through part-whole understanding, place value and number bonds before formalising methods later.
Reasoning and Mathematical Talk
We want children to be able to explain why something works, not simply carry out a procedure.
Teachers encourage pupils to use mathematical vocabulary, compare methods, identify patterns, explain relationships and justify their conclusions.
Talk is an important part of this. Children are given opportunities to rehearse ideas, listen to different approaches and explain their own reasoning.
Problem-Solving
Children regularly apply their knowledge to problems where the route to an answer is not immediately obvious.
They learn to:
identify relevant information
choose an appropriate strategy
break more complex problems into manageable steps
use diagrams or representations where useful
check whether an answer is reasonable
explain and refine their approach.
The aim is to develop pupils who can make decisions about mathematics rather than simply follow a remembered procedure.
Calculation
We teach calculation as a progression from understanding to efficiency.
Children first develop a secure understanding of number, place value and the mathematical relationships involved. Written methods are introduced when pupils are ready and are connected explicitly to the representations and concepts that underpin them.
For example, in Years 3 and 4, column methods are built gradually alongside place-value understanding. Children are encouraged to compare mental and written strategies and choose methods appropriately.
Multiplication and division are also taught as connected operations, with pupils using known facts, unitising, commutativity and partitioning as calculations become more demanding.
Mathematics in Reception
In Reception, mathematics is practical, visual and rooted in meaningful experiences.
Children develop strong foundations in number, pattern, shape, space and measure through play, direct teaching, stories, games and practical exploration.
Within calculation, the emphasis is particularly on concrete and pictorial representations. Children explore parts and wholes, number bonds, addition, subtraction, doubling, halving and sharing before formal written recording becomes an expectation.
These foundations prepare children for the increasingly formal mathematics of Key Stage 1.
Multiplication Tables
Secure multiplication knowledge is an important foundation for later mathematics.
Children progressively develop recall of multiplication and related division facts and are expected to know all multiplication tables up to 12 × 12 by the end of Year 4.
Year 4 pupils also complete the statutory Multiplication Tables Check.
The purpose of multiplication practice is not simply speed for its own sake. Fluent recall helps children work efficiently with division, fractions, ratio and more complex calculations later in the curriculum.
How We Teach
Our whole-school teaching routines are used in mathematics alongside the Power Maths lesson structure.
I → We → You means teachers model new mathematical thinking, pupils work through it with support and then apply their learning independently.
Scaffold → Fade means resources, representations, prompts and worked examples are used when helpful and gradually removed as pupils become secure.
Retrieval, little and often strengthens important number facts and previously learned concepts.
Words & Visuals supports the precise mathematical vocabulary and representations children need in order to understand and explain ideas.
This fits particularly well with the current Power Maths White Rose Maths Edition, which itself uses guided practice with support gradually reduced and a CPA approach.
Inclusion in Mathematics
We want all pupils to access ambitious mathematics.
Teachers adapt teaching through:
carefully chosen manipulatives and representations
explicit modelling
smaller steps where required
additional guided practice
vocabulary and visual support
opportunities to rehearse before working independently
targeted intervention where a particular gap has been identified.
Support is used to help children access the same important mathematical ideas wherever possible and is reduced as pupils become more confident and independent.
Assessment
Assessment is part of everyday mathematics teaching.
Teachers use questioning, discussion, pupils' written work and their use of representations to check understanding and identify misconceptions.
Assessment helps teachers decide whether pupils need:
further explanation
additional practice
a different representation
support with prerequisite knowledge
greater depth or challenge.
More formal assessments are also used at appropriate points to identify strengths, gaps and next steps.
The current Power Maths White Rose Maths Edition also has diagnostic progress assessments designed to identify misconceptions and inform subsequent teaching.
Our Mathematics Curriculum
The document below shows what children learn in mathematics from Reception to Year 6: