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The  National Curriculum for mathematics aims to ensure that all pupils:  

  • Become fluent in the fundamentals of mathematics, including through varied and frequent  practise 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.   

We aim to place investigations, problem solving and reasoning skills at the heart of our mathematics teaching. The expectation is that all children welcome challenge, can link mathematical topics to each other and build a strong understanding of the relationships between them.  

Through careful assessment, planning and preparation we aim to ensure that all children progress once the basic concept is understood. All children are given the opportunity to use concrete manipulatives to enhance their understanding of each mathematical concept, they will then be asked to create or show examples of how this could look pictorially. This ensures that all children can make clear links between concepts and can see what is happening, the changes that have taken place and the outcomes of that method. Those who grasp new material quickly will be able to access a range of fluency challenges leading onto rich problem solving and reasoning tasks.

Show: Children will use manipulatives to show understanding of a question or concept. They will then move along the working wall at their own pace as follows.

Do: Children will demonstrate their understanding of a concept using manipulatives and pictorial representations, moving to abstract representations.

Think: Convince me that… Children will prove their answers by explaining their reasoning.

Explain: What is the Same? What is different? Children will be able to find different ways to get to the answer and be able to explore the problem deeper if a variable changes.

Solve: Pupils deepen their understanding by investigating, sorting, comparing or by looking for patterns and rules in the representations they are exploring the problem with. Children will be expected to use a range of mathematical concepts to reason and problem solve. 

Click to see:

Maths Intent and Implementation


Maths Coordinators Annual Review 

Maths Presentation Policy


National Curriculum Maths Leaflets

Year 1  Year 2  Year 3  Year 4  Year 5  Year 6

Long Term Plans - click on the Year Group title for a detailed plan (White Rose Maths)

Year 1








Year 2








Year 3








Year 4








Year 5








Year 6



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