KS5 Maths
"For Maths, we will achieve our curriculum vision by ensuring: That all UTC Leeds students are confident problem solvers that can apply mathematical concepts to real-life situations, and demonstrate resilience in their approach."
Maths is one of the most sought-after subjects by employers and universities, thanks to its emphasis on logical reasoning, numerical analysis, and problem-solving.
Our curriculum is structured around key strands—algebra, calculus, statistics, and mechanics. Learning is sequenced to develop fluency, accuracy, and mathematical resilience.
These skills are essential in fields like finance, engineering, data science, and computing, where precision and critical thinking are vital.
There are two courses on offer at UTC Leeds:
- A-Level Maths
- A-level Further Maths
Find out more below!
Mathematics builds advanced numerical, analytical, and logical reasoning skills. It’s highly respected by employers and universities across nearly every industry due to its rigour and wide applicability.
A-Level Mathematics
Mathematics builds advanced numerical, analytical, and logical reasoning skills. It’s highly respected by employers and universities across nearly every industry due to its rigour and wide applicability.
Exam board: Edexcel
Course Title: A-Level Mathematics
The course is taught over two years, with an option available to take an AS exam in May of Year 12.
Topics covered within the Pure element of the course include:
- Algebraic Expressions & Methods
- Co-ordinate Geometry
- Functions, Graphs & Transformations
- Sequences & Series
- Binomial Expansion
- Radians
- Trigonometric Ratios, Identities, Functions & Modelling
- Exponentials & Logarithms
- Parametric Equations
- Differentiation & Integration
- Numerical Methods
- Vectors
The third exam is Statistics and Mechanics based and includes questions from:
Section A: Statistics
- Topic 1 – Statistical sampling
- Topic 2 – Data presentation and interpretation
- Topic 3 – Probability
- Topic 4 – Statistical distributions
- Topic 5 – Statistical hypothesis testing
Section B: Mechanics
- Topic 6 – Quantities and units in mechanics
- Topic 7 – Kinematics
- Topic 8 – Forces and Newton’s laws
- Topic 9 – Moments
Useful Links
- https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html
- https://www.drfrostmaths.com/
- https://www.physicsandmathstutor.com/
A-Level Further Maths
Further Mathematics is for students who want to deepen their understanding and explore advanced concepts. It develops strong problem-solving and logical thinking skills for technical and analytical careers.
Exam Board: Edexcel
Course Title: A Level Further Mathematics
Course aims:
Students will:
- develop confidence and enjoyment in mathematics
- extend advanced skills and techniques
- understand connections across mathematical topics
- apply mathematics in other subjects and real-world contexts
- solve problems using clear, logical reasoning and communicate effectively
Students study AS Further Mathematics alongside A Level Mathematics in Year 12.
Assessment:
- Core Pure 1 and Core Pure 2 (compulsory)
- Two optional papers, chosen to suit the cohort
Core Pure topics include:
Proof, complex numbers, matrices, further algebra and functions, further calculus, vectors, polar coordinates, hyperbolic functions, and differential equations.
Useful Links
- https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html#tab-AlevelFurtherMathematics
- https://www.drfrostmaths.com/
- https://www.physicsandmathstutor.com/
Key Skills Developed:
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Advanced numeracy and data handling
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Problem-solving and abstract reasoning
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Modelling and logical analysis
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Structured, accurate communication of ideas
Career Opportunities:
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Finance, Banking, and Accountancy
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Data Analysis and Statistics
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Engineering and Physical Sciences
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Computer Science and AI
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Economics and Business Strategy
