Mathematics

Staff: Mr A McCarter (Head of Department), Mrs N Jackson (Coordinator for KS3 Mathematics and Numeracy), Mr S Corrigan, Mrs C Deeney,
Mr A Goddard, Mr S Marriott, Miss M Sands-Mooney, Mrs N Shannon-King

Aims

We believe that every pupil can develop a deep and lasting understanding of mathematics when they are given the time, support and challenge they need to succeed. Our Mathematics Department is committed to developing confident, resilient and independent mathematicians through a mastery approach to learning.

Our aim is to develop pupils who understand not only how to solve a problem, but why mathematical methods work. Through a mastery approach, we build strong foundations and ensure that pupils develop a secure understanding of key concepts before progressing to more complex ideas.

We place a strong emphasis on depth rather than speed, encouraging pupils to make connections between different areas of mathematics, explain their reasoning, explore different methods and apply their knowledge to unfamiliar problems. Mistakes are viewed as an important part of learning, helping pupils to develop perseverance and a positive attitude towards challenge.

We want our pupils to leave us with more than a collection of mathematical procedures. We aim to equip them with the knowledge, understanding, confidence and problem-solving skills needed to use mathematics successfully both within the classroom and beyond it.

Above all, we want our pupils to recognise that mathematics is a subject that is accessible, purposeful and enjoyable, and that with determination and a willingness to learn, everyone can make progress and achieve their potential.

Key Stage 3

Year 8

Year 8 marks the beginning of pupils' post-primary mathematics education. We build on the knowledge and skills developed during primary school, strengthening pupils' understanding of key mathematical concepts and establishing secure foundations for their future learning.

Our mastery approach gives pupils the opportunity to revisit and deepen their understanding, develop fluency and make connections between different areas of mathematics. 

Throughout the year, pupils study:

• Place Value and Number – developing understanding of place value, including decimals, and applying the four operations of addition, subtraction, multiplication and division.
• Metric Measures – working confidently with metric units and applying measurement skills in different contexts.
• Angles and 2D Shapes – exploring properties of angles and two-dimensional shapes, developing the ability to reason and solve geometric problems.
• Fractions – developing fluency with fractions and strengthening understanding of their relationship with other forms of number.
• Order of Operations – understanding and applying the correct order of operations when working with numerical expressions.
• Introduction to Algebra – beginning to use algebraic notation and expressions, and developing an understanding of how algebra can be used to represent mathematical relationships.
• Data Handling – collecting, representing and interpreting data, developing pupils' ability to draw conclusions from mathematical information.

Across all areas, pupils are encouraged to explain their reasoning, make connections, tackle unfamiliar problems and develop increasing confidence and independence in their mathematical thinking.

Year 9

In Year 9, pupils build on the secure foundations established in Year 8, extending their mathematical knowledge and developing greater fluency and confidence in applying it. Our mastery approach continues to emphasise depth of understanding, encouraging pupils to make connections between concepts and explain their mathematical thinking.

Throughout the year, pupils study:

• Factors, Multiples and Primes – developing a deeper understanding of number properties and using factors, multiples and prime numbers to solve problems.
• Positive and Negative Numbers – extending pupils' understanding of number to include positive and negative values and applying the four operations in different contexts.
• Fractions – developing fluency in working with fractions and applying the four operations to solve increasingly complex problems.
• Sequences – recognising, describing and continuing sequences, and developing an understanding of the patterns and rules that underpin them.
• Expressions and Equations – developing algebraic fluency through simplifying expressions, using algebraic notation and solving equations.
• Angles and Geometric Reasoning – applying knowledge of angles in triangles, quadrilaterals and parallel lines to solve problems and justify solutions.
• Length and Area – developing understanding of measurement and applying formulae and mathematical reasoning to calculate lengths and areas.
• Percentages and Rounding – developing fluency with percentages and using rounding appropriately to estimate and check calculations.
• 3D Shapes, Volume and Surface Area – exploring three-dimensional shapes and nets, and applying mathematical reasoning to calculate volume and surface area.
• Statistics – developing pupils' ability to collect, represent and interpret data through averages, stem-and-leaf diagrams and pie charts.

As pupils progress through Year 9, they are increasingly encouraged to connect different areas of mathematics, choose appropriate methods, justify their reasoning and apply their knowledge to unfamiliar problems. These skills provide an important foundation for the more challenging mathematics they will encounter in the senior years.

Year 10

In Year 10, pupils build on the strong foundations developed in Years 8 and 9 and begin to explore more sophisticated mathematical ideas. The emphasis on mastery continues, with pupils developing greater fluency while making connections between different areas of mathematics and applying their knowledge to increasingly challenging problems. This year provides an important bridge towards GCSE Mathematics, developing the knowledge, skills and confidence pupils will need as they progress into their GCSE studies.

Throughout the year, pupils study:

• Probability and Statistics – exploring probability and developing the skills needed to calculate and interpret averages from frequency and grouped frequency tables. Pupils also investigate relationships between data using scatter graphs.
• Algebra – extending their algebraic understanding through expanding and factorising expressions, solving equations and linear inequalities, and changing the subject of a formula.
• Coordinates and Linear Graphs – developing an understanding of coordinates and using them to represent and interpret linear relationships.
• Ratio and Proportion – applying ratio and proportional reasoning to solve problems in a range of mathematical and real-life contexts.
• Transformations and Geometric Reasoning – developing practical and theoretical understanding through constructions, transformations, similarity and congruency.
• Angles and Polygons – extending their knowledge of angle properties and applying this to problems involving polygons.
• Area and Circles – developing fluency in calculating the area of circles and applying this knowledge to problem-solving.
• Pythagoras' Theorem – using Pythagoras' Theorem to investigate relationships between the sides of right-angled triangles and solve geometric problems.

As pupils progress through Year 10, they are expected to work with increasing independence, precision and mathematical reasoning. They are encouraged to select appropriate methods, justify their solutions and recognise connections between different mathematical concepts. These skills, alongside a secure understanding of the core mathematical content, provide a strong foundation for the transition to GCSE Mathematics.

Key Stage 4

At Key Stage 4, pupils work towards their GCSE, following the CCEA GCSE Mathematics specification. Building on the knowledge and skills developed throughout Key Stage 3, pupils deepen their mathematical understanding and develop the fluency, reasoning and problem-solving skills required for success at GCSE.

Pupils have the opportunity to study GCSE Mathematics at either Foundation Tier or Higher Tier, with the most appropriate pathway determined by each pupil's attainment, progress and individual needs. Our mastery approach continues throughout Key Stage 4, with a focus on developing secure understanding and the ability to apply mathematical knowledge confidently in a variety of contexts.

For pupils who have a particular interest in mathematics and are considering studying the subject at A Level, we also offer GCSE Further Mathematics. This qualification provides an opportunity for pupils to extend their mathematical knowledge beyond the core GCSE curriculum and develop the deeper understanding and problem-solving skills that will support their progression to advanced study in mathematics.

Through our Key Stage 4 provision, we aim to ensure that pupils are well prepared not only for their GCSE examinations, but also for the next stage of their mathematical education.

Key Stage 5

At Key Stage 5, pupils who have a strong interest and aptitude in mathematics can choose to continue their studies by taking A Level Mathematics, following the CCEA specification.

A Level Mathematics builds on the knowledge developed at GCSE and introduces pupils to more advanced mathematical ideas and methods. The course develops pupils' mathematical fluency, reasoning and problem-solving skills, while encouraging them to apply their knowledge to increasingly complex and unfamiliar situations.

The course encompasses several interconnected areas of mathematics. Pupils study Pure Mathematics, developing their understanding of algebra, functions, calculus and other fundamental mathematical concepts. They also explore Applied Mathematics, including Mechanics and Statistics, allowing them to apply mathematical ideas to real-world situations, physical problems and the analysis and interpretation of data.

For pupils who are passionate about mathematics, A Level provides an exciting opportunity to explore the subject in greater depth and prepares them well for further study in mathematics, science, engineering, economics and other related disciplines.

You don't have to be good at maths to get better at maths.

We believe that every pupil can make progress in mathematics. Success is not about getting every question right the first time; it is about being willing to think, make mistakes, try again and keep learning. With perseverance, the right support and a belief in their own ability, every pupil can become a more confident mathematician.