Component 1 and 2: Pure Mathematics
Proof, Algebra and functions, Coordinate geometry in the (x,y) plane, Sequences and series, Trigonometry, Exponentials and logarithms, Differentiation, Integration, Numerical methods, Vectors.
Component 3
Section A: Statistics
Statistical sampling, Data presentation and interpretation, Probability, Statistical distributions, Statistical hypothesis testing.
Section B: Mechanics
Quantities and units in mechanics, Kinematics, Forces and Newton’s laws and Moments.
| Component | Assessment | Duration | Weighting |
|---|---|---|---|
| 1: Pure Mathematics 1 | Written exam | 2h | 33.3% |
| 2: Pure Mathematics 2 | Written exam | 2h | 33.3% |
| 3: Statistics and Mechanics | Written exam | 2h | 33.3% |
Year 12
Half Term 1 (Sept-Nov)
Half Term 2 (Nov – Dec)
Half Term 3 (Jan – Feb)
Half Term 4 (Feb – March)
Half Term 5 (April – May)
Half Term 6 (May – July)
Half Term 1 (Sept-Nov)
Focus and Topic
- Algebra and Functions
Core Knowledge
- Algebraic Expressions
- Quadratics
- Equations and Inequalities
Core Skills
- Manipulate algebraic expressions: expand, factorise, simplify
- Apply laws of indices and work with surds, including rationalising denominators
- Solve quadratic equations by:
factorising, completing the square, quadratic formula - Understand and use the discriminant
- Sketch and interpret quadratic graphs
- Solve linear and quadratic inequalities, representing solutions graphically
- Solve simultaneous equations (linear-linear and linear-quadratic)
- Apply graph transformations and interpret intersections
- Model and solve real-world problems using algebra and quadratics
- Develop core algebraic reasoning and problem-solving skills
Assessment
- Students will be assessed on their ability to manipulate algebraic expressions accurately, including using indices and surds. They must solve quadratic equations using various methods and interpret the discriminant.
- Sketching and interpreting quadratic graphs, solving inequalities (both linear and quadratic), and representing solutions graphically will also be assessed.
- Students should demonstrate competence in solving simultaneous equations, particularly linear-quadratic combinations.
- Understanding and applying basic graph transformations, as well as interpreting points of intersection, will form part of the assessment.
- Overall, the focus will be on algebraic fluency, graphical understanding, and problem-solving using these core techniques.
- Edexcel Unit Test
Half Term 2 (Nov – Dec)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 3 (Jan – Feb)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 4 (Feb – March)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 5 (April – May)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 6 (May – July)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Year 13
Half Term 1 (Sept-Nov)
Half Term 2 (Nov – Dec)
Half Term 3 (Jan – Feb)
Half Term 4 (Feb – March)
Half Term 5 (April – May)
Half Term 6 (May – July)
Half Term 1 (Sept-Nov)
Focus and Topic
- Algebraic methods
- Functions and Graphs
- Sequences and Series
- Binomial expansion
- Radians
Core Knowledge
- Proof
- Algebraic Fractions
- Partial Fractions
- Algebraic division
- Modulus function
- Functions and mappings
- Transformations
- Arithmetic and Geometric sequences and series
- Recurrence relationships
- Expanding (1+x) ^n and (a + bx)^n
Core Skills
- Construct rigorous proof.
- Prove algebraic identities.
- Fully factorise the polynomial denominator into distinct linear factors, repeated linear factors, or irreducible quadratics. Identify improper fractions. Partial fraction decomposition,
- Solve for unknown constants
- They learn to work with mappings, composite and inverse functions, domain, range, and graph transformations. Understanding one-to-one functions and modulus graphs is essential.
- In sequences, students handle arithmetic and geometric progressions, using formulae for nth terms and sums, including sums to infinity for convergent series. Sigma notation, recurrence relations, and proof by induction are introduced, reinforcing logical reasoning and algebraic manipulation skills.
- They expand expressions using the binomial theorem for fractional and negative indices, applying series expansions to approximate functions. Skills include identifying valid ranges for expansions and manipulating algebraic series.
- In radians, students convert between degrees and radians, understand arc length and sector area formulas, and apply them in problem-solving. They also explore trigonometric functions in radians, including small angle approximations. These chapters develop precision in algebraic techniques and deepen understanding of trigonometric applications in calculus and geometry.
Assessment
- students are assessed on algebraic manipulation, use of the factor and remainder theorems, simplifying algebraic fractions, and decomposing partial fractions. Proof by deduction and contradiction is key, with emphasis on logical structure, clear reasoning, and correct notation.
- Edexcel Unit test
- Students must interpret mappings, find composite and inverse functions, solve modulus problems, and apply transformations.
- Edexcel Unit test
- In sequences, assessment includes using formulas for arithmetic and geometric series, sigma notation, and proof by induction.
- Edexcel Unit test
- For binomial expansion, students are evaluated on expanding expressions with rational indices and determining validity ranges.
- Edexcel Unit test
- In radians, they must convert units, calculate arc lengths, sector areas, and apply trigonometric functions in radians, including small-angle approximations.
- Edexcel Unit test
Half Term 2 (Nov – Dec)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 3 (Jan – Feb)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 4 (Feb – March)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 5 (April – May)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Half Term 6 (May – July)
Focus and Topic
TBC
Core Knowledge
TBC
Core Skills
TBC
Assessment
TBC
Key Info
- Start Date: September 2026
- Awarding Body: Edexcel
- Study Mode: Full Time
- Course Length: 2 Years
Entry Requirements
TBC
Complementary Subjects
Career Opportunities
Employers look for hard-working, self-motivated, and intelligent people to join their staff. Obtaining a Maths A Level shows that you have what it takes. You may not use algebra or probability in your job every day, but the transferable skills of analysis, logic, and problem solving will always come in handy.
Some degree subjects like Physics and Engineering ask for a Maths A Level as part of the entry requirements. Others such as Medicine and Architecture don’t make it a necessity, but they still have a decent amount of mathematical content. If you go in with a Maths A Level, you’ll have a much easier time than those who don’t.