top of page
Math Formulas

MATHEMATICS

“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” 

 

William Paul Thurston

Curriculum Overview

The Mathematics curriculum develops pupils as fluent, confident and resilient mathematicians who can reason, solve problems and apply mathematics across a range of contexts. Through carefully sequenced learning, pupils build secure conceptual understanding, procedural fluency and the ability to think mathematically. The curriculum is ambitious, inclusive and designed to ensure strong progression from Key Stage 3 foundations through to success at GCSE.

Curriculum Intent

The intent of the Mathematics curriculum is to ensure that pupils:

· Develop fluency in number, algebra, geometry and statistics.

· Understand mathematical concepts deeply and apply them accurately.

· Reason mathematically, making connections and justifying solutions.

· Solve problems by selecting and applying appropriate strategies.

· Develop confidence, perseverance and independence when tackling unfamiliar problems.

· Are well prepared for GCSE Mathematics and further study or employment.

The curriculum aims to remove barriers to learning mathematics while providing appropriate challenge for all pupils.

Curriculum Design and Sequencing

The Mathematics curriculum is carefully sequenced to build knowledge cumulatively, with key concepts revisited and extended over time.

Key Stage 3 Progression

· In Year 7, pupils develop secure foundations in place value, proportional reasoning, fractions, decimals and percentages, alongside introductory algebraic thinking and geometric reasoning.

· In Year 8, pupils build on these foundations through representations, algebraic techniques, proportional reasoning, geometry and data handling, strengthening connections between number, algebra and real-world contexts.

· In Year 9, pupils deepen understanding through reasoning with algebra, geometry and proportion, including transformations, Pythagoras’ theorem, straight line graphs and representations. This year bridges foundational learning and GCSE readiness.

Key Stage 4 Progression

· In Year 10, pupils study core GCSE content, including algebraic manipulation, ratios and proportional change, geometry, trigonometry, statistics and probability. Emphasis is placed on application and problem-solving.

· In Year 11, pupils refine and extend their knowledge through graphs, functions, algebraic reasoning and geometric construction, alongside structured revision and exam preparation to secure success at GCSE.

This sequencing ensures pupils move from concrete understanding to abstract reasoning and confident application.

Curriculum Implementation

The Mathematics curriculum is implemented through:

· Explicit instruction and modelling, using clear mathematical representations.

· Regular opportunities for guided practice and independent application.

· Emphasis on mathematical reasoning, including explanation and justification.

· Frequent retrieval practice to secure long-term memory.

· Ongoing formative assessment to identify misconceptions and adapt teaching.

· Summative assessment aligned with Pearson Edexcel GCSE Mathematics requirements.

Teaching promotes high expectations, consistency and inclusivity, ensuring all pupils are supported and challenged appropriately.

Curriculum Impact

The impact of the Mathematics curriculum is demonstrated through:

· Pupils developing secure mathematical knowledge and confidence.

· Improved fluency, reasoning and problem-solving skills.

· Pupils’ ability to apply mathematics accurately in unfamiliar contexts.

· Strong outcomes in GCSE Mathematics.

· Pupils leaving school equipped with mathematical skills essential for further education, employment and everyday life.

Accessibility and Inclusion

The Mathematics curriculum is designed to be inclusive and accessible:

· Concepts are broken down into clear, manageable steps.

· Visual representations and concrete examples support understanding.

· Scaffolding and guided practice build confidence.

· Opportunities for challenge and extension support higher-attaining pupils.

Through this inclusive approach, all pupils are supported to achieve success and develop a positive relationship with mathematics.

Curriculum Map

New Rose-01.png

FOLLOW US

  • Instagram
  • Facebook
  • Twitter
  • YouTube

            © Copyright 2026 Smithills School. All rights reserved.

Developed and maintained by the Smithills Media and Digital Team.

Smithills Dean Road | Bolton | BL1 6JS | 01204 842382

bottom of page