| Algebra and Functions | Red | Amber | Green |
| Index laws — positive, negative and fractional indices | |||
| Surds — simplifying, rationalising the denominator | |||
| Expanding brackets and collecting like terms | |||
| Factorising — common factors, difference of two squares, trinomials | |||
| Algebraic fractions — simplifying, adding, multiplying | |||
| Completing the square | |||
| Functions — domain, range, notation f(x) | |||
| Composite functions — fg(x) | |||
| Inverse functions — f⁻¹(x) | |||
| Quadratics | Red | Amber | Green |
| Solving quadratics — factorising, formula, completing the square | |||
| Discriminant — b²−4ac and number of roots | |||
| Sketching quadratic graphs — vertex, intercepts | |||
| Quadratic inequalities | |||
| Simultaneous equations — one linear, one quadratic | |||
| Coordinate Geometry | Red | Amber | Green |
| Straight lines — gradient, y = mx + c, ax + by + c = 0 | |||
| Parallel and perpendicular lines | |||
| Midpoint and distance between two points | |||
| Equation of a circle — (x−a)² + (y−b)² = r² | |||
| Tangents and normals to a circle | |||
| Intersection of a line and a circle | |||
| Graphs and Transformations | Red | Amber | Green |
| Sketching standard curves — y = xⁿ, y = 1/x, y = aˣ | |||
| Translations — y = f(x ± a), y = f(x) ± a | |||
| Reflections — y = −f(x), y = f(−x) | |||
| Stretches — y = af(x), y = f(ax) | |||
| Combining transformations | |||
| Binomial Expansion | Red | Amber | Green |
| Pascal's triangle and nCr notation | |||
| Expanding (a + b)ⁿ for positive integer n | |||
| Finding specific terms in an expansion | |||
| Trigonometry | Red | Amber | Green |
| SOHCAHTOA — in right-angled triangles | |||
| Sine rule and cosine rule | |||
| Area of a triangle — ½ab sin C | |||
| Exact trig values — 30°, 45°, 60° | |||
| Graphs of sin, cos, tan — shape, period, amplitude | |||
| Trig identities — sin²θ + cos²θ = 1, tan θ = sin θ/cos θ | |||
| Solving trig equations in a given interval | |||
| Transformations of trig graphs | |||
| Differentiation | Red | Amber | Green |
| Differentiation from first principles | |||
| Differentiating polynomials — d/dx(xⁿ) = nxⁿ⁻¹ | |||
| Second derivative — f''(x) and concavity | |||
| Stationary points — finding and classifying | |||
| Tangents and normals to a curve | |||
| Increasing and decreasing functions | |||
| Optimisation problems using differentiation | |||
| Integration | Red | Amber | Green |
| Integrating polynomials — reverse of differentiation | |||
| Definite integrals — computing numerical values | |||
| Area under a curve — interpreting definite integrals | |||
| Area between two curves | |||
| Exponentials and Logarithms | Red | Amber | Green |
| Exponential functions — y = aˣ and y = eˣ | |||
| The natural logarithm — ln x and its graph | |||
| Laws of logarithms — log(ab), log(a/b), log(aⁿ) | |||
| Solving equations with exponentials and logs | |||
| Linearising data — log graphs for y = axⁿ and y = abˣ | |||
| Vectors in 2D | Red | Amber | Green |
| Vector notation — column vectors, i and j unit vectors | |||
| Adding, subtracting and scaling vectors | |||
| Magnitude of a vector | |||
| Unit vectors and position vectors | |||
| Geometric problems using vectors |
| Statistical Sampling | Red | Amber | Green |
| Population vs sample — advantages of sampling | |||
| Sampling methods — simple random, stratified, systematic, opportunity, quota | |||
| Data Presentation and Interpretation | Red | Amber | Green |
| Histograms — frequency density, comparing distributions | |||
| Box plots — interpreting median, quartiles, outliers | |||
| Cumulative frequency diagrams | |||
| Scatter diagrams — correlation, outliers, interpolation vs extrapolation | |||
| Measures of Location and Spread | Red | Amber | Green |
| Mean, median, mode from raw data and frequency tables | |||
| Variance and standard deviation — from data and coded data | |||
| Outliers — 1.5 × IQR rule and standard deviation rule | |||
| Coding data — effect on mean and standard deviation | |||
| Probability | Red | Amber | Green |
| Probability basics — sample space, mutually exclusive, exhaustive | |||
| Addition rule — P(A ∪ B) = P(A) + P(B) − P(A ∩ B) | |||
| Conditional probability — P(A|B) = P(A ∩ B) / P(B) | |||
| Tree diagrams and Venn diagrams | |||
| Independent events — P(A ∩ B) = P(A) × P(B) | |||
| Statistical Distributions | Red | Amber | Green |
| Binomial distribution — conditions for use | |||
| Calculating binomial probabilities — tables and formula | |||
| Mean and variance of binomial — np and np(1−p) | |||
| Hypothesis Testing (Binomial) | Red | Amber | Green |
| Null and alternative hypotheses — H₀ and H₁ | |||
| One-tailed and two-tailed tests | |||
| Critical regions and significance levels | |||
| Interpreting results — concluding in context |
| Kinematics | Red | Amber | Green |
| Quantities — displacement, velocity, acceleration, time | |||
| SUVAT equations — selecting and applying correctly | |||
| Displacement-time and velocity-time graphs | |||
| Vertical motion under gravity — g = 9.8 m s⁻² | |||
| Forces and Newton's Laws | Red | Amber | Green |
| Newton's first law — equilibrium, resultant force | |||
| Newton's second law — F = ma in one direction | |||
| Newton's third law — pairs of forces | |||
| Weight, normal reaction, tension and friction | |||
| Connected particles — strings over pulleys | |||
| Variable Acceleration (Calculus) | Red | Amber | Green |
| Velocity as derivative of displacement — v = ds/dt | |||
| Acceleration as derivative of velocity — a = dv/dt | |||
| Finding displacement from velocity by integration |