--- title: "Maths" url: "https://hfschool.org.uk/learning/subjects/maths" school: "Harefield School" --- # Maths ## Maths Curriculum Vision, Aims and Overview At Harefield School, we teach in a way to ensure that all students can master mathematics; that all students become knowledgeable and resilient problem solvers. The sequencing of the curriculum is designed with this mastery aim in mind. The KS3 and KS4 curriculum has been ordered in a way to help teachers interleave with topics learnt previously. Having students make links between topics is vital for deep understanding. Assessments will also have an emphasis on problem solving and reasoning. All content seen across the key stages will include the application of skills in a wide variety of problem solving with abstract and applied mathematics. - To develop mathematical fluency and problem-solving skills applicable in real-world contexts - To prepare students for a variety of career pathways by fostering critical thinking and analytical skills - To encourage students to make connections between mathematics and other subjects, as well as its applications in everyday life - To promote resilience and perseverance in tackling complex mathematical challenges **Key stage 3 – Curriculum intent** - Building on Prior Knowledge The curriculum is carefully sequenced to ensure that each topic builds on prior knowledge. For example, in Year 7, we start with foundational topics (in the first term) like number properties and equations to ensure students have a strong base for more complex concepts in subsequent years. This progression ensures that students can connect new ideas to what they already know, reinforcing understanding and retention. - Developing Mathematical Fluency: Early topics focus on fluency in core skills, such as arithmetic, algebraic manipulation, and understanding of proportionality. They are first introduced in HT1 in Year 8 and revisited and extended later to deepen understanding and ensure mastery in HT2 in Year 9. - Gradual Increase in Complexity Topics are introduced in a logical order, starting with simpler concepts and gradually moving to more complex ones. For instance, students build on their understanding of linear graphs in HT2 in Year 9 before exploring quadratic graphs in Year 10, as the former lays the groundwork for understanding the latter. - Interleaving Concepts The curriculum is designed to revisit key ideas in different contexts, helping students make connections between areas of maths. For example, ratio and proportion are introduced early and reappear in geometry and algebra contexts. The sequence is deliberate and logical, ensuring that students develop a deep and connected understanding of mathematics. It allows them to build confidence, master fundamental skills, and apply their learning in a variety of contexts, preparing them for success in Key Stage 4 and beyond. Curriculum Map 183 KB [Open for printing](https://files.schudio.com/harefield-school-2/files/documents/Maths-Curriculum-Map-Scheme-of-Learning-2024-25.pdf) Course outline for GCSE Maths 184 KB [Open for printing](https://files.schudio.com/harefield-school-2/files/documents/Year-9-Option-Booklet-Maths.pdf) ### Learning - [Our Curriculum](https://hfschool.org.uk/learning/our-curriculum) - [SEND](https://hfschool.org.uk/learning/send) - [Exams](https://hfschool.org.uk/learning/exams) - [Year 9 Options](https://hfschool.org.uk/learning/year-9-options) - [Homework](https://hfschool.org.uk/key-information/homework) - Subjects - [English Literature & English Language](https://hfschool.org.uk/learning/subjects/english-literature-and-english-language) - [Maths](https://hfschool.org.uk/learning/subjects/maths) - [Science](https://hfschool.org.uk/learning/subjects/science) - [Art](https://hfschool.org.uk/learning/subjects/art) - [Geography](https://hfschool.org.uk/learning/subjects/geography) - [History](https://hfschool.org.uk/learning/subjects/history) - [Spanish](https://hfschool.org.uk/learning/subjects/spanish) - [Physical Education (PE)](https://hfschool.org.uk/learning/subjects/physical-education-pe) - [Business](https://hfschool.org.uk/learning/subjects/business) - [Travel & Tourism](https://hfschool.org.uk/learning/subjects/travel-and-tourism) - [Sociology](https://hfschool.org.uk/learning/subjects/sociology) - [RE](https://hfschool.org.uk/learning/subjects/re) - [PSHE](https://hfschool.org.uk/learning/subjects/pshe) - [BTEC Sport](https://hfschool.org.uk/learning/subjects/btec-sport) - [Media](https://hfschool.org.uk/learning/subjects/media) - [Music](https://hfschool.org.uk/learning/subjects/music) - [Health & Social Care](https://hfschool.org.uk/learning/subjects/health-and-social-care) - [Drama](https://hfschool.org.uk/learning/subjects/drama) - [DT](https://hfschool.org.uk/learning/subjects/dt) - [Computer Science & E Safety](https://hfschool.org.uk/learning/subjects/computer-science-and-e-safety) ![Harefield School](https://files.schudio.com/harefield-school-2/images/logo/logo-white.png) ### Harefield School Northwood Way, Harefield Uxbridge Middlesex UB9 6ET 01895 822 108 01895 822 414 ### Quick Links - [Admissions](https://hfschool.org.uk/about-us/admissions) - [Pupil Premium](https://hfschool.org.uk/about-us/pupil-premium) - [Sixth Form](https://hfschool.org.uk/sixth-form/welcome-to-sixth-form) - [Extra Curricular Timetable](https://hfschool.org.uk/key-information/extra-curricular-timetable) - [Contact Us](https://hfschool.org.uk/contact) ### Useful Links - [Term Dates](https://hfschool.org.uk/key-information/term-dates) - [School Day](https://hfschool.org.uk/key-information/school-day) - [SEND](https://hfschool.org.uk/learning/send) - [Uniform](https://hfschool.org.uk/key-information/uniform) - [GDPR](https://hfschool.org.uk/key-information/gdpr) ### Social Media - [Instagram](https://www.instagram.com/tha_proud_official/) [![Partnership Learning](https://files.schudio.com/harefield-school-2/images/logo/AAAPartnership-Learning_white.png)](https://partnershiplearning.com) © Copyright 2026 Harefield School School & Trust Websites by [ ![Schudio logo](https://hfschool.org.uk/img/logo/light.png) ](https://www.schudio.com/)