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Maths

Subject Intent - Maths
It is our intent that children will learn through a mastery approach, which is deep, sustainable and achievable for all. They will have fluent knowledge and understanding of the number system with the ability to rapidly recall number facts, in addition to performing written and mental calculations efficiently. They will develop factual, conceptual and procedural fluency through a concrete, pictorial and abstract approach. Through a broad range of skills in applying mathematics, they will solve real life problems and reason about mathematical concepts and make connections. When faced with challenges in new and unusual contexts, children will think independently and persevere, showing confidence in success.

Essential characteristics of a mathematician at Lutley

  • An understanding of the important concepts and an ability to make connections within mathematics.
  • A broad range of skills in using and applying mathematics.
  • Fluent knowledge and recall of number facts and the number system.
  • The ability to show initiative in solving problems in a wide range of contexts, including the new or unusual.
  • The ability to think independently and to persevere when faced with challenges, showing a confidence of success.
  • The ability to embrace the value of learning from mistakes.
  • The ability to reason, generalise and make sense of solutions.
  • Fluency in performing written and mental calculations and mathematical techniques.
  • Able to use wide range of mathematical vocabulary, precisely and give answers in full sentences.
  • A commitment to and passion for the subject.

Threshold concepts – Key concepts our children will learn throughout their maths journey at Lutley.
Know and use numbers - This concept involves understanding the number system and how they are used in a wide variety of mathematical ways.
Add and subject - This concept involves understanding both the concepts and processes of addition and subtraction.
Multiply and divide - This concept involves understanding both the concepts and processes of multiplication and division.
Use fractions - This concept involves understanding the concept of part and whole and ways of calculating using it.
Understand the properties of shapes - This concept involves recognising the names and properties of geometric shapes and angles.
Describe position, direction and movement - This concept involves recognising various types of mathematical movements.
Use measures - This concept involves becoming familiar with a range of measures, devices used for measuring and calculations.
Use statistics - This concept involves interpreting, manipulating and presenting data in various ways.
Use algebra - This concept involves recognising mathematical properties and relationships using symbolic representations.

A mastery approach
Power Maths sessions are taught daily in each year group. Power Maths is a whole-class mastery programme designed to spark curiosity and excitement to help nurture confidence in maths. It is the only mastery programme perfectly aligned to the White Rose Maths progressions and schemes of learning, it’s written specifically for UK classrooms by leading mastery experts, and is recommended by the DfE. Children learn through using a high-quality textbook, online learning tools and a practice book for each term. There is a consistent use of the CPA (concrete, pictorial, abstract) approach across Power Maths, which helps children develop mastery across all the operations in an efficient and reliable way.

Maths image

Progress is tracked half termly using a range of evidence, including:

  • teacher observations
  • evidence in maths books
  • end of unit checks
  • half termly tests
  • termly tests
  • end of year tests
  • statutory tests (SATs) in Year 2 and Year 6

Children receive support and extra challenge through ‘same day intervention’. Children receive feedback on their work and respond to gap tasks to scaffold learning further or further deepen their understanding. The approach at Lutley is child-centred, which focuses on a growth mindset approach to maths. The approach helps children build a deep understanding of maths concepts and a confidence in maths.

Reviewing Learning
Children and teachers reflect on successes and next steps in maths through a half termly learning review meeting. This is recorded in the children’s planners and shared with parents.

Calculations Policy
A calculations policy underpins the teaching of the 4 operations (addition, subtraction, multiplication and division) and clearly shows the concrete, pictorial and abstract approaches and progression in each strand of mathematics.

See our calculations policy by clicking here for:

Knowledge Organisers
Knowledge organisers are sent out to parents via Parentmail at the beginning of each Power Maths unit. These highlight the key vocabulary, models and methods that the children will need in order to be successful. By keeping parents informed of their child’s maths learning, they will be more able to offer support and guidance at home. Click here to access the knowledge organisers for each unit for each year group:

Teaching Model
Power Maths is structured so that concepts are taught for longer and to go deeper. For each year group, the curriculum strands have been broken down into core concepts. These are taught in blocks of lessons so you can give sufficient time to developing a deep and sustainable understanding of core maths concepts. Each concept has also been broken down into small steps (lessons). Each lesson and concept builds on prior knowledge to help children build a robust and deep understanding of the concept before moving on.

Lesson Sequence
Supporting the NCETM’s definition of mastery, the lesson sequence at Lutley focuses on supporting children’s understanding of core concepts and building their mathematical confidence. Each lesson is divided into evidence-based sections that take children on a journey through discovery, sharing of ideas, scaffolded practice, independent practice and reflection.

Fluency
Becoming fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, ensures that that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. At Lutley. fluency is developed through the use of ‘Fluent in 5’, children complete 5 daily arithmetic questions in 5 minutes, with immediate feedback given from their teacher. Rapid recall of times tables, including multiplication and division facts, is developed through the use of TT38. Children spend 5 minutes completing a 10 week cycle of the 38 division facts up to 12 x 12. In KS1, Numbots us used to engage children in the early stages of addition and subtraction. In addition to this, all Lutley children in Key Stage 2 have access to Times Tables Rockstars, this online resource provides children with engaging activities to learn their tables whilst reducing the time is takes to answer multiplication and division questions.

Reasoning
At Lutley, children reason mathematically by accessing appropriately pitched maths content every lesson, so that they can think logically in order to arrive at solutions or sometimes find multiple solutions. Lutley children will be able to identify what is important and unimportant in solving a problem, follow a line of enquiry, conjecture relationships and generalisations, and develop an argument, giving justification or proof using mathematical language to explain a solution.

Application/Problem Solving
At Lutley, children solve mathematical 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. In order to solve a problem, children will draw on one or more problem-solving skills, such as:

  • Working systematically
  • Trial and improvement
  • Logical reasoning
  • Spotting patterns
  • Visualising
  • Working backwards
  • Conjecturing

Through this way of teaching we will have:

  • Ambitious expectations for all pupils
  • Gaps in learning immediately addressed through same day intervention
  • All pupils access rich mathematical content
  • Avoidance of grouping and labelling children
  • Conceptual and procedural maths taught together
  • Investment in professional development of teachers
  • Children who know more and remember more