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Maths at Millfield


Mathematics is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.


At Millfield, Maths is taught following the objectives form the National Curriculum of England through both classroom based and outdoor learning opportunities which include: investigations, practicals and reasoning problems. 


Aims of the Curriculum

The national curriculum for mathematics aims to ensure that all pupils:

  • Become fluent in the fundamentals of mathematics, including the varied and regular practice of increasingly complex problems over time.
  • Reason mathematically by following a line of enquiry, understanding relationships and generalisations, and developing an argument, justification or proof using mathematical language.
  • Can solve problems by applying their mathematics to a variety of problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. The programmes of study are, by necessity, organised into apparently distinct domains, but pupils should make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply their mathematical knowledge to science and other subjects.


The expectation is that the majority of pupils will move through the programmes of study at broadly the same pace. However, decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly should be challenged through being offered rich and sophisticated problems before any acceleration through new content.


Assessment in Maths

Children’s progress in Maths is assessed across the school in many different ways. The class teacher uses verbal assessments during daily Maths lessons; short Maths tests on Friday mornings, that may include times tables, arithmetic or reasoning questions; and either the NFER or PUMA maths tests at the end of each half term. The children are assessed as emerging, expected or exceeding in the subject; their progress is tracked and any children that are found not to be meeting their targets are monitored so that they are back on track quickly.


SATs, made up of a selection of reasoning and arithmetic questions, are carried out at the end of Years 2 and 6. If you would like to see an example of the most up-to-date test, follow the links below:


Year 2

2018 Paper 1 Arithmetic

2018 Paper 2 Reasoning


Year 6

2018 Paper 1 Arithmetic 

2018 Paper 2 Reasoning

2018 Paper 3 Reasoning 


From June 2020, all children in Year 4 will take the new Multiplication Tables Check (MTC). They will need to know all of their times tables up to 12 x 12. The website called website is an excellent site to help you learn your tables. Follow the link below to see if you can earn your Big Diploma: