A-level Maths
Pearson Edexcel 9MA0. 93 topics, 94 lessons.
Pure, first pass
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Algebra entry check: indices, surds and exact values | P2.1, P2.2 | 2 | Try a lesson |
| Quadratics: square form, discriminants and roots | P2.3 | 1 | Try a lesson |
| Linear and quadratic simultaneous equations | P2.4 | 1 | |
| Inequalities and solution sets | P2.5, OT1.3 | 1 | |
| Polynomial algebra and the factor theorem | P2.6 | 1 | |
| Sketching polynomial and reciprocal graphs | P2.7, OT2.7 | 1 | |
| Lines, gradients and perpendicularity | P3.1 | 1 | |
| Circles, tangents and intersections | P3.2 | 1 | |
| Shifts, stretches and reflections | P2.9 | 1 | |
| Deduction, exhaustion and counterexamples | P1.1, OT1.1, OT1.2, OT1.5 | 1 | |
| Vectors: components, position and subtraction | P10.1, P10.3, P10.4 | 1 | |
| Magnitude, direction and vector geometry | P10.2, P10.5 | 1 | |
| Unit-circle trigonometry and periodic graphs | P5.1, P5.3 | 1 | |
| Trig identities and interval equations | P5.5, P5.7 | 1 | |
| Non-right triangles and the ambiguous case | P5.1 | 1 | |
| Radians, arc lengths and sector areas | P5.1 | 1 | |
| Exponential graphs and transformations | P6.1 | 1 | |
| Logarithms and exponential equations | P6.3, P6.4, P6.5 | 1 | |
| Exponential models and their parameters | P6.7, OT3.1, OT3.2, OT3.3, OT3.4 | 1 | |
| Derivatives from first principles | P7.1 | 1 | |
| Power, exponential and basic trig derivatives | P7.2, P6.2 | 1 | |
| Tangents, normals and increasing/decreasing intervals | P7.3 | 1 | |
| Stationary points, optimisation and curvature | P7.1, P7.3 | 1 | Try a lesson |
| Antiderivatives and the fundamental theorem | P8.1, P8.2 | 1 | |
| Definite integrals, areas and limiting strips | P8.3, P8.4 | 1 | |
| Integer binomial expansions and coefficients | P4.1 | 1 |
Statistics, first pass
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Sampling and the population question | S1.1 | 1 | Try a lesson |
| Meet the LDS: locations, units and cleaning | S2.4, OT3.5 | 1 | |
| Histograms, box plots and cumulative frequency | S2.1, S2.4 | 1 | |
| Averages, spread and grouped percentiles | S2.3 | 1 | |
| Variance, standard deviation and coding | S2.3 | 1 | |
| Scatter plots, regression and contextual interpretation | S2.2, OT2.3 | 1 | |
| Sample spaces, exclusivity and independence | S3.1 | 1 | |
| Conditional probability: trees, tables and sets | S3.2, OT1.3 | 1 | |
| Probability assumptions and model criticism | S3.3, OT3.1, OT3.5 | 1 | |
| Discrete random variables and binomial assumptions | S4.1, S4.3 | 1 | |
| Binomial point and cumulative probabilities | S4.1 | 1 | |
| Hypothesis tests for a binomial proportion | S5.1, S5.2 | 1 | |
| Year-one model and calculator clinic | S4.3, S3.3, P2.11, OT2.1, OT2.2, OT2.3 | 1 |
Mechanics, first pass
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Mechanics units and signed quantities | M6.1 | 1 | Try a lesson |
| Position, displacement, distance, speed and velocity | M7.1 | 1 | |
| Motion graphs and area/gradient reasoning | M7.2, OT2.7 | 1 | |
| Constant-acceleration equations and derivations | M7.3 | 1 | |
| Force diagrams, weight and Newton's first law | M8.1, M8.3 | 1 | |
| Newton's second law in one dimension | M8.2 | 1 | |
| Equilibrium and Newton's third-law pairs | M8.4 | 1 | |
| Connected particles and smooth pulleys | M8.4 | 1 | |
| Variable-acceleration motion in one dimension | M7.4 | 1 |
Pure, second pass
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Composite/inverse functions and domain/range | P2.8, OT1.4 | 1 | |
| Modulus graphs, equations and inequalities | P2.7, P2.9 | 1 | |
| Rational expressions and partial fractions | P2.6, P2.10 | 1 | |
| Recursive sequences, monotonicity, periodicity and sigma | P4.2, P4.3 | 1 | |
| Arithmetic progressions and proof of their sum | P4.4 | 1 | |
| Geometric progressions and convergence | P4.5 | 1 | |
| Sequences and series as financial/physical models | P4.6, OT3.4 | 1 | |
| Rational binomial expansions and approximation | P4.1 | 1 | |
| Reciprocal and inverse trig functions | P5.4, P5.5 | 1 | |
| Addition, double-angle and half-angle identities | P5.6, P5.8 | 1 | |
| R-sine/cosine forms and extrema | P5.6 | 1 | |
| Advanced trig equations and proofs | P5.7, P5.8 | 1 | |
| Small-angle approximations | P5.2 | 1 | |
| Periodic models and realistic domains | P5.9, P2.11, OT3.3, OT3.4 | 1 | |
| Linearising power/exponential models with logs | P6.6, S2.2 | 1 | |
| Product, quotient and chain rules | P7.2, P7.4 | 1 | |
| Implicit differentiation and parametric curves | P3.3, P7.5 | 1 | |
| Parametric models, tangents and parameter domains | P3.4, P7.5 | 1 | |
| Connected rates and setting up differential equations | P7.4, P7.6 | 1 | |
| Standard advanced integrals and trig rewrites | P8.2 | 1 | |
| Integration by substitution | P8.5 | 1 | |
| Integration by parts, including repeated use | P8.5 | 1 | |
| Rational integration and logarithmic forms | P8.6 | 1 | |
| Area between curves and parametric areas | P8.3, P3.3 | 1 | |
| Separable differential equations and interpretation | P8.7, P8.8 | 1 | |
| Bracketing roots and failure of sign-change arguments | P9.1, OT2.4, OT2.5 | 1 | |
| Fixed-point iteration and staircase/cobweb diagrams | P9.2 | 1 | |
| Newton-Raphson, failure cases and contextual roots | P9.3, P9.5 | 1 | |
| Trapezium estimates and bounds | P9.4 | 1 | |
| Contradiction and first-principles proof clinic | P1.1, P7.1, OT1.5 | 1 |
Statistics, second pass
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Normal distributions and calculator probabilities | S4.2 | 1 | |
| Inverse Normal, standardisation and unknown parameters | S4.2 | 1 | |
| Normal approximation to binomial and suitability | S4.2, S4.3 | 1 | |
| Tests for a Normal mean | S5.3 | 1 | |
| Correlation tests and population parameters | S5.1 | 1 | |
| LDS investigation: sampling to a defensible conclusion | S1.1, S2.1, S2.2, S2.3, S2.4, S5.1, OT2.6 | 1 |
Mechanics, second pass
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Two-dimensional motion with vectors and calculus | M7.3, M7.4, P10.1, P10.4 | 1 | |
| Projectiles: components, trajectories and height | M7.5, P5.9 | 1 | |
| Resolving forces, resultants and inclined planes | M8.2, M8.4, M8.5 | 1 | |
| Friction: equilibrium, limiting cases and sliding | M8.6 | 1 | |
| Moments and rigid-body equilibrium | M9.1 | 1 | |
| Ladders, rods and connected-system models | M9.1, M8.4, M8.6, OT3.5 | 1 |
Paper workshops
| Topic | Specification | Lessons | Try |
|---|---|---|---|
| Pure paper workshop: algebra to calculus | P2.3, P2.8, P4.1, P5.7, P7.4, P8.5, OT2.2 | 1 | |
| Pure paper workshop: modelling and numerical reasoning | P2.11, P3.4, P6.7, P8.8, P9.5, P10.5, OT2.3, OT3.4 | 1 | |
| Applied paper workshop and correction loop | S4.2, S5.2, S5.3, M7.5, M8.6, M9.1, OT2.2, OT2.5, OT2.6 | 1 |
Try it with one class, free.
Up to 35 pupils for 30 days, every A-level course. No card.
Also in the A-level licence: Further Maths, Physics, Chemistry, Biology, Psychology, Economics, Business, Politics, Sociology, Computer Science.