At HLNA, our ambitious curriculum in mathematics is designed to ensure that students develop deep conceptual understanding, procedural fluency and the ability to reason mathematically over time. We understand learning as a change in long-term memory; therefore, our mathematics curriculum is carefully sequenced so that key ideas are introduced, practised and revisited in a coherent way. This ensures that students build secure mathematical knowledge which can be applied confidently in both familiar and unfamiliar contexts.
A central principle of our mathematics teaching is the careful management of cognitive load. New concepts are introduced through clear explanation, modelling and guided practice so that students can focus on understanding the underlying mathematical structures. Complex ideas are broken into smaller components, enabling students to develop confidence before moving on to more sophisticated applications. This approach supports all learners in building secure foundations in mathematics.
Our classroom practice in mathematics is underpinned by consistent routines that promote long-term retention and mathematical thinking. Knowledge booklets support equity and entitlement by ensuring that every student has access to key definitions, worked examples and essential mathematical vocabulary. These resources enable students to prepare for lessons, revisit important concepts and practise key skills, strengthening their understanding over time.
Each mathematics lesson begins with structured retrieval practice designed to revisit previously learned material and strengthen connections between ideas. This regular review helps students retain core mathematical knowledge and recognise how different areas of mathematics are interconnected. Learning materials are organised consistently so that students can focus their attention on the mathematics itself rather than on navigating new formats or structures.
Mathematical discussion is an important feature of our lessons. Students are encouraged to explain their reasoning, justify their methods and use precise mathematical language when communicating their ideas. By developing the ability to articulate their thinking, students deepen their understanding and learn to approach problems more thoughtfully and systematically.
Visual representations and carefully designed diagrams play a key role in supporting mathematical understanding. Through the use of models, graphs, number lines and geometric representations, students can make sense of abstract concepts and see relationships between mathematical ideas.
Assessment in mathematics is continuous and responsive. Teachers use questioning and structured checks for understanding during lessons to identify misconceptions and
adapt teaching accordingly. At the end of each unit, students complete low-stakes assessments which allow teachers to evaluate understanding and identify areas that require further consolidation. Whole-class feedback strategies support students in reflecting on their work and improving their mathematical reasoning.
Alongside regular summative assessments, synoptic assessments are built into each year group to evaluate students’ cumulative understanding of mathematics. This ensures that learning is not episodic but enduring, enabling students to retain knowledge and apply it confidently in new situations.
As a result, our mathematics curriculum is coherent, carefully structured and knowledge-rich. Students develop both confidence and competence in mathematics, preparing them effectively for the demands of further study and future careers.
At HLNA, everyone is included and everyone belongs. This commitment is reflected in our inclusive mathematics classrooms, where all students are supported to achieve success while also being challenged to think deeply. We strive to remove barriers to learning, ensuring that every student can participate fully and experience the satisfaction of solving challenging problems.
Our values are lived out daily through our students, who strive to be conscientious, compassionate and confident in all aspects of their learning in mathematics. These qualities underpin our culture of high expectations and mutual respect within our mathematics classrooms. We are proud of our environment in mathematics because we always do what is right — demonstrating integrity, responsibility and care for one another in both our learning and with each other.
What Students Learn in Key Stage Three Mathematics
Over time in mathematics, students develop an increasingly sophisticated understanding of number, algebra, geometry, probability and statistics. Each topic builds upon prior learning so that students gradually develop fluency, reasoning and problem-solving skills.
In Year 7, students consolidate core number skills before moving into introductory algebra, geometry, and FDP, alongside other key topics that provide a broad and balanced foundation in mathematics. Students begin to develop confidence in applying mathematical methods and explaining their reasoning clearly.
In Year 8, students build upon these foundations by extending their understanding of algebraic thinking and proportional reasoning. They explore topics such as linear graphs, constructions and probability, with meaningful opportunities for students to apply their learning. Students are increasingly encouraged to make connections
between different areas of mathematics and apply their knowledge to multi-step problems.
In Year 9, students deepen their mathematical understanding and begin to encounter concepts that prepare them for GCSE mathematics. Topics include quadratic expressions, graphical representations, Pythagoras’ theorem, trigonometry, and more advanced algebraic manipulation. Students are challenged to reason mathematically, justify their approaches and apply their knowledge in unfamiliar contexts.
Across Key Stage Three, students learn not only how to perform calculations but also how to think mathematically: recognising patterns, forming conjectures, testing ideas and constructing logical arguments.
Our ambitious mathematics curriculum also provides opportunities for enrichment. Students may take part in mathematics challenges, problem-solving competitions and collaborative investigations that encourage creativity and curiosity within the subject.
There are many careers that rely on strong mathematical skills, and we highlight these connections throughout Key Stage Three. These include careers in engineering, finance, data science, architecture, computing, economics and scientific research. By exploring real-world applications of mathematics, students gain a deeper appreciation of its importance and relevance beyond the classroom
Matthew Thomas
Curriculum Leader for Mathematics
Please find below the scheme of works for the following subject. Each scheme provides an overview of the key topics, skills, and learning objectives covered throughout the academic year, helping students and parents understand the progression of learning within each subject area.