Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. At St John’s we aim to provide a high-quality mathematics education, 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.
Using the national curriculum for mathematics, we aim to ensure that all pupils:
· become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems, 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.
Mathematics is an interconnected subject in which pupils need to be able to move fluently between different mathematical ideas. Pupils are encouraged to make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving problems. They also have the opportunity to apply their mathematical knowledge to science and other subjects.
The expectation at St John’s is that the majority of pupils in a class will move through the programmes of study at broadly the same pace. Decisions about when to progress are always based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly are challenged to develop mastery and apply their understanding at greater depth. Those who are not sufficiently fluent with earlier material have the time to consolidate their understanding through additional practice, before moving on.
By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages.
Mathematics lessons include a concrete, pictorial and abstract approach where pupils use concrete manipulatives to demonstrate mathematical concepts before drawing and working with pictorial representations. Both these aspects then lead into working with the abstract nature of mathematics written calculations with a good understanding of the constructs behind them.
At St John’s we plan our mathematics lessons using a structure from the White Rose Maths Hub in Halifax. This blocked approach gives pupils extended periods of time to work on mathematical concepts and embed their learning. This is with a view to developing deeper understanding in all pupils and encouraging them to achieve mastery.
Please find below the long term plans for each year group outlining the blocks covered throughout the year.
Please click the link below to see our calculation progression policy. Take a look at this helpful diagram to see how we teach mathematical calculations through the school.