A Level · Years 12 and 13
A Level tutoring for top grades
In-depth teaching in Maths, Chemistry, Physics and Biology.
- Max 10 students per group
- 2-hour lesson + 1-hour clinic
- Monthly assessments
- Online or in person
- 100%
- pass rate across every exam our students have sat
- 3×
- the progress of a typical school year, on average
- 20,630+
- hours of teaching experience across our tutors
- 1,370+
- students taught
A week at TriForth
Three hours every week, plus a monthly check-in.
BeforePreparation with our resources AfterHomework that locks it in
Our programme
Mapped to your child’s exam board and split across the school year. Open any topic to see exactly what is covered.
Exam board
Autumn
September to December
01Overarching themes: proof, problem solving and modelling (both years)
- Mathematical arguments, diagrams and deduction
- Precise mathematical language and symbols
- Mathematical language and syntax
- Set notation
- Apply to solutions of inequalities and probability.
- Functions, domain and range
- Critique proofs and arguments
- Find the structure in a problem
- Solve unstructured problems
- Interpret solutions in context
- Numerical methods when there's no exact solution
- Evaluate accuracy and limitations
- The problem-solving cycle
- Use and draw diagrams to solve problems
- Build mathematical models with assumptions
- Use models to explore situations
- Interpret model outputs in context
- Refine and evaluate models
- Understand and use modelling assumptions.
02Pure: Proof
- Proof by deduction and exhaustion; disproof by counter-example
- Disproof by counter example.
03Pure: Algebra and functions
- Laws of indices
- Surds and rationalising denominators
- Quadratics: discriminant, completing the square
- Simultaneous equations, one linear and one quadratic
- Linear and quadratic inequalities
- Express solutions with and, or and set notation
- Inequalities on graphs
- Polynomials, algebraic division and the factor theorem
- Curve sketching and asymptotes
- Proportional relationships and graphs
- Graph transformations
04Pure: Coordinate geometry in the (x, y) plane
- Equations of straight lines; parallel and perpendicular
- Straight line models
- Equation of a circle and circle properties
05Pure: Sequences and series
- Binomial expansion; n! and nCr
06Statistics: Statistical sampling
- Understand and use the terms ‘population’ and ‘sample’.
- Inferences from samples
- Sampling techniques
- Choose and critique sampling methods
07Statistics: Data presentation and interpretation
- Histograms: area represents frequency
- Connect to probability distributions.
- Scatter diagrams and regression lines
- Understand informal interpretation of correlation.
- Understand that correlation does not imply causation.
- Averages, spread and standard deviation
- Calculate standard deviation
- Outliers
- Choose data presentations
- Cleaning data
08Mechanics: Quantities and units in mechanics
- SI units: length, time, mass
- Derived units: velocity, acceleration, force, moment
Spring
January to March
01Pure: Trigonometry
- Trig for all angles; sine rule, cosine rule, area
- Trig graphs, symmetry and periodicity
- Understand and use tan θ ≡ sin θ / cos θ.
- Understand and use sin²θ + cos²θ ≡ 1.
- Solve trigonometric equations
02Pure: Exponentials and logarithms
- Exponential functions aˣ
- Know and use the function eˣ and its graph.
- Gradient of e^(kx)
- Logarithms as the inverse of aˣ
- Know and use the function ln x and its graph.
- Know and use ln x as the inverse function of eˣ.
- Laws of logarithms
- Solve equations of the form aˣ = b.
- Log graphs to find parameters
- Exponential growth and decay models
03Statistics: Probability
- Mutually exclusive and independent events
- Link to discrete and continuous distributions.
04Mechanics: Kinematics
- Language of kinematics
- Displacement-time and velocity-time graphs
- SUVAT equations
- Calculus in kinematics
Summer
April to July
01Pure: Differentiation
- Differentiation from first principles; gradient as rate of change
- Second derivatives
- Differentiate xⁿ
- Tangents, normals and stationary points
- Identify where functions are increasing or decreasing.
02Pure: Integration
- Know and use the Fundamental Theorem of Calculus.
- Integrate xⁿ
- Definite integrals and area under a curve
03Pure: Vectors
- Use vectors in two dimensions.
- Magnitude and direction of vectors
- Add and scale vectors
- Position vectors and distances
- Vectors in forces and kinematics
04Statistics: Statistical distributions
- Discrete distributions and the binomial distribution
05Statistics: Statistical hypothesis testing
- Language of hypothesis testing
- Binomial hypothesis tests
- Significance level and sampling inference
06Mechanics: Forces and Newton’s laws
- Forces and Newton's first law
- Newton's second law in a straight line
- Weight and motion under gravity
- Newton's third law, pulleys and connected particles
Autumn
September to December
01Pure: Proof
- Proof by contradiction
02Pure: Algebra and functions
- Simplify rational expressions
- Modulus graphs
- Composite and inverse functions
- Combinations of these transformations.
- Partial fractions
- Functions in modelling
03Pure: Coordinate geometry in the (x, y) plane
- Parametric equations
- Parametric models
04Pure: Sequences and series
- Binomial expansion for rational n
- Sequences: nth term and recurrence relations
- Understand and use sigma notation for sums of series.
- Arithmetic sequences and series
- Geometric series and sum to infinity
- Use sequences and series in modelling.
05Pure: Trigonometry
- Radians, arc length and sector area
- Small angle approximations
- Exact trig values in radians
- sec, cosec, cot and inverse trig functions
- sec²θ = 1 + tan²θ; cosec²θ = 1 + cot²θ
- Double angle and compound angle formulae
- R cos(θ ± α) and R sin(θ ± α)
- Trigonometric proofs
- Trigonometry in context
06Statistics: Probability
- Conditional probability with trees, Venn diagrams and tables
- P(A|B) = P(A ∩ B) / P(B)
- Modelling with probability
07Mechanics: Kinematics
- Extend to 2 dimensions using vectors.
- Calculus in 2D kinematics
- Projectiles
Spring
January to March
01Pure: Differentiation
- Differentiation from first principles for sin x and cos x.
- Concave, convex and points of inflection
- Differentiate exponentials and trig functions
- Understand and use the derivative of ln x.
- Points of inflection.
- Product, quotient and chain rules; connected rates
- Implicit and parametric differentiation
- Form differential equations
02Pure: Integration
- Integrate e^(kx), 1/x, sin and cos
- The area between two curves.
- Understand and use integration as the limit of a sum.
- Integration by substitution and by parts
- Integration with partial fractions
- Separable differential equations
- Interpret solutions to differential equations
03Pure: Numerical methods
- Locate roots by change of sign
- Understand how change of sign methods can fail.
- Iteration, cobweb and staircase diagrams
- Newton–Raphson method
- Understand how such methods can fail.
- Trapezium rule
- Use numerical methods to solve problems in context.
04Statistics: Statistical distributions
- The Normal distribution
- Normal distribution, histograms and the binomial
- Choose binomial or Normal models
05Mechanics: Forces and Newton’s laws
- Resolving forces
- Equilibrium under coplanar forces
- Resultant forces and motion in a plane
- Friction: F ≤ μR
Summer
April to July
01Pure: Vectors
- Use vectors in three dimensions.
02Statistics: Statistical hypothesis testing
- Correlation coefficients and hypothesis tests
- Hypothesis test for a Normal mean
03Mechanics: Moments
- Understand and use moments in simple static contexts.
04Revision and final exams
- Full mock exams for every paper under timed conditions
- Gap review: re-teaching topics flagged by monthly assessments
- Past papers marked against official mark schemes
- Exam technique: command words, timing and marks
Built from the full exam board specifications (AQA, Pearson Edexcel and OCR A). Boards update their specifications from time to time, so we always check the latest version.
Taught to your exam board
Every lesson is matched to your child’s specification, so they’re taught everything the exam can ask.
- Mapped to the full specification
- Every required topic covered
- Past papers from your board
Exam boardAQA
Exam boardEdexcel
Exam boardOCR
The TriForth Method
A proven cycle that turns every lesson into lasting progress.
- 01PrepareA head start on every topic, before the lesson.
- 02LearnClear teaching that checks understanding as it goes.
- 03PractiseGuided first, then on their own, until it sticks.
- 04ReviewMistakes found, fixed and followed up.
What your child walks away with
The depth and discipline top grades demand.
- 01
Real depth of understanding
Knowing why methods work, not just how to use them.
- 02
Independent study skills
The habits universities and employers look for.
- 03
Technique for long questions
Timed, multi-step practice that mirrors the real papers.
- 04
A strong next step
Grades that open doors to university and beyond.
You’ll always know how they’re doing
Live updates, monthly results and a parents’ evening every term.
Mock exam · ChemistryGrade AUp from a C
Homework this month8 of 8 completed
Parents’ evening bookedAutumn term review
Which A Level subjects do you teach?
Maths, Chemistry, Physics and Biology.
Can you help with the jump from GCSE?
Yes. The first weeks bridge the gap, covering the skills A Level assumes students already have.
Do you cover required practicals?
Yes. We teach the theory and exam questions behind every required practical.
Which exam board do you follow?
Your child’s. We teach AQA, Edexcel and OCR specifications.
Do you teach Year 12 and Year 13 together?
No. Groups are split by year so the pace matches where students are in the course.
Can you help with university applications?
Our focus is grades, but we’re happy to talk through predicted grades and subject choices.
Do you use past papers?
Yes. Timed, multi-step exam questions are part of every week.
Can my child join in Year 13?
Yes. The assessment shows what needs revisiting, and we plan around the time left before the exams.