Edexcel A-level Maths (9MA0) — revision checklist
The registered topic-content points, in order. Red, Amber and Green record how sure you feel about each point. They are confidence ratings, not results from answering questions. It saves on this device — come back and pick up where you left off. These are the same ratings as “Your confidence” on the revision notes pages: Red is Unseen, Amber is Shaky and Green is Secure.
Scope: Tracks the registered 9MA0 topic-content leaves. Year 1 / Year 2 badges follow Pearson's own AS/A-level split.
Your confidence · Self-report
0% green0/89 rated green
1Proof
0/1- Understand and use the structure of mathematical proof, from assumptions through logical steps to a conclusion; use proof by deduction, exhaustion, disproof by counter example, and contradiction (irrationality of √2, infinity of primes).Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Proof by contradiction, including the irrationality of √2, the infinity of primes and unfamiliar proofs.Year 2 adds: Proof by contradiction, including the irrationality of √2, the infinity of primes and unfamiliar proofs.
2Algebra and functions
0/11- Work with quadratic functions and their graphs; the discriminant, including conditions for real and repeated roots; completing the square; solution of quadratic equations, including solving quadratic equations in a function of the unknown.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Solve linear and quadratic inequalities in one variable and interpret them graphically, including with brackets and fractions; express solutions using 'and'/'or' or set notation; represent linear and quadratic inequalities graphically.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Manipulate polynomials algebraically, including expanding brackets, collecting like terms, factorisation and simple algebraic division; use the factor theorem; simplify rational expressions by factorising, cancelling and algebraic division.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Simplifying rational expressions, including by factorising and cancelling and by algebraic division (dividing a polynomial by (ax + b) or (ax − b), with the factor theorem, is already Year 1).Year 2 adds: Simplifying rational expressions, including by factorising and cancelling and by algebraic division (dividing a polynomial by (ax + b) or (ax − b), with the factor theorem, is already Year 1).
- Understand and use graphs of functions; sketch curves including polynomials, the modulus of a linear function, y = a/x and y = a/x² with asymptotes; use graph intersections to solve equations; understand proportional relationships.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: The modulus of a linear function.Year 2 adds: The modulus of a linear function.
- Understand the effect of simple transformations on the graph of y = f(x), including sketching associated graphs: y = af(x), y = f(x) + a, y = f(x + a), y = f(ax) and combinations of these transformations.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Combinations of these transformations, applied to any of the functions in the A Level specification (including |x|).Year 2 adds: Combinations of these transformations, applied to any of the functions in the A Level specification (including |x|).
3Coordinate geometry in the (x, y) plane
0/4- Understand and use the equation of a straight line, including the forms y − y1 = m(x − x1) and ax + by + c = 0; gradient conditions for two straight lines to be parallel or perpendicular; use straight line models in a variety of contexts.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Understand and use the coordinate geometry of the circle, including the equation (x − a)² + (y − b)² = r²; complete the square for centre and radius; use circle properties (semicircle angle, chord bisector, tangent-radius).Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
4Sequences and series
0/6- Understand and use the binomial expansion of (a + bx)ⁿ for positive integer n; the notations n! and nCr; link to binomial probabilities; extend to any rational n, including for approximation, valid for |bx/a| < 1.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: The binomial expansion for any rational n, including its use for approximation, valid for |bx/a| < 1.Year 2 adds: The binomial expansion for any rational n, including its use for approximation, valid for |bx/a| < 1.
- Work with sequences including those given by a formula for the nth term and those generated by a simple relation of the form xₙ₊₁ = f(xₙ); increasing sequences; decreasing sequences; periodic sequences.Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
- Understand and work with geometric sequences and series, including the formulae for the nth term and the sum of a finite geometric series; the sum to infinity of a convergent geometric series, including the use of |r| < 1; modulus notation.Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
5Trigonometry
0/9- Understand and use the definitions of sine, cosine and tangent for all arguments; the sine and cosine rules; the area of a triangle in the form ½ab sin C; work with radian measure, including use for arc length and area of sector.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Radian measure, including arc length and the area of a sector.Year 2 adds: Radian measure, including arc length and the area of a sector.
- Understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity; know and use exact values of sin, cos and tan for standard angles and their multiples.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Exact values of sin and cos for 0, π/6, π/4, π/3, π/2 and π, and of tan for 0, π/6, π/4, π/3 and π, and multiples of these.Year 2 adds: Exact values of sin and cos for 0, π/6, π/4, π/3, π/2 and π, and of tan for 0, π/6, π/4, π/3 and π, and multiples of these.
- Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; their relationships to sine, cosine and tangent; understanding of their graphs; their ranges and domains.Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
- Understand and use tan θ = sin θ / cos θ; understand and use sin²θ + cos²θ = 1, sec²θ = 1 + tan²θ and cosec²θ = 1 + cot²θ.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: sec²θ = 1 + tan²θ and cosec²θ = 1 + cot²θ.Year 2 adds: sec²θ = 1 + tan²θ and cosec²θ = 1 + cot²θ.
- Understand and use double angle formulae; formulae for sin(A ± B), cos(A ± B), tan(A ± B) with geometrical proofs; express a cos θ + b sin θ in the form r cos(θ ± α) or r sin(θ ± α).Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
6Exponentials and logarithms
0/7- Know and use the definition of logₐx as the inverse of aˣ, where a is positive and x ≥ 0; know and use the function ln x and its graph; know and use ln x as the inverse function of eˣ.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Understand and use exponential growth and decay; use in modelling (e.g. compound interest, radioactive decay, drug concentration decay, population growth); consideration of limitations and refinements of exponential models.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
7Differentiation
0/6- Derivative of f(x) as tangent gradient and as a limit; rate of change; sketch the gradient function; first-principles differentiation for small integer powers of x, sin x, cos x; second derivatives; convexity, concavity, inflection.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Differentiation from first principles for sin x and cos x; the second derivative's link to convex and concave sections of curves and points of inflection.Year 2 adds: Differentiation from first principles for sin x and cos x; the second derivative's link to convex and concave sections of curves and points of inflection.
- Differentiate xⁿ for rational n, and related sums, differences and constant multiples; differentiate e^(kx), a^(kx), sin kx, cos kx, tan kx; understand and use the derivative of ln x.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Differentiating a^kx, sin kx, cos kx, tan kx and ln x, and sums, differences and constant multiples of these (the gradient of e^kx, ke^kx, is already Year 1: point 6.2).Year 2 adds: Differentiating a^kx, sin kx, cos kx, tan kx and ln x, and sums, differences and constant multiples of these (the gradient of e^kx, ke^kx, is already Year 1: point 6.2).
- Apply differentiation to find gradients, tangents and normals, maxima and minima and stationary points, points of inflection; identify where functions are increasing or decreasing.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Points of inflection.Year 2 adds: Points of inflection.
- Construct simple differential equations in pure mathematics and in context (contexts may include kinematics, population growth and modelling the relationship between price and demand).Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
8Integration
0/8- Integrate xⁿ (excluding n = −1) and related sums, differences and constant multiples; integrate e^(kx), 1/x, sin kx, cos kx and related sums, differences and constant multiples.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Integrating e^kx, 1/x, sin kx and cos kx.Year 2 adds: Integrating e^kx, 1/x, sin kx and cos kx.
- Evaluate definite integrals; use a definite integral to find the area under a curve and the area between two curves.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: The area between two curves.Year 2 adds: The area between two curves.
9Numerical methods
0/5- Understand and use numerical integration of functions, including the use of the trapezium rule and estimating the approximate area under a curve and limits that it must lie between.Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
10Vectors
0/5S1Statistical sampling
0/1- Understand and use the terms 'population' and 'sample'; use samples to make informal inferences about the population; use sampling techniques including simple random and opportunity sampling; select or critique techniques in context.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
S2Data presentation and interpretation
0/4- Interpret scatter diagrams and regression lines for bivariate data, including recognising distinct sections of the population (regression calculations excluded); interpret correlation informally; correlation does not imply causation.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Recognise and interpret possible outliers in data sets and statistical diagrams; select or critique data presentation techniques in context; clean data, including dealing with missing data, errors and outliers.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
S3Probability
0/3- Understand and use conditional probability, including the use of tree diagrams, Venn diagrams and two-way tables; understand and use the conditional probability formula P(A|B) = P(A∩B)/P(B).Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
S4Statistical distributions
0/3- Understand and use simple, discrete probability distributions (mean and variance of discrete random variables excluded), including the binomial distribution as a model; calculate probabilities using the binomial distribution.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Understand and use the Normal distribution as a model; find probabilities using the Normal distribution; link to histograms, mean, standard deviation, points of inflection and the binomial distribution.Year 2Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.
S5Statistical hypothesis testing
0/3- Apply the language of hypothesis testing via a binomial model: null/alternative hypothesis, significance level, test statistic, 1- and 2-tail tests, critical value/region, acceptance region, p-value; extend to correlation coefficients.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Extending hypothesis testing to correlation coefficients, interpreted using a given p-value or critical value.Year 2 adds: Extending hypothesis testing to correlation coefficients, interpreted using a given p-value or critical value.
- Conduct a hypothesis test for the proportion in the binomial distribution and interpret results in context; a sample makes an inference about the population; the significance level is the probability of incorrectly rejecting H0.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
M6Quantities and units in mechanics
0/1- Understand and use fundamental quantities and units in the S.I. system: length, time, mass; understand and use derived quantities and units: velocity, acceleration, force, weight, moment.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Moment, as a derived quantity with its units.Year 2 adds: Moment, as a derived quantity with its units.
M6.1Notes
M7Kinematics
0/5- Understand, use and interpret graphs in kinematics for motion in a straight line: displacement against time and interpretation of gradient; velocity against time and interpretation of gradient and area under the graph.Year 1Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.
- Understand, use and derive the formulae for constant acceleration for motion in a straight line; extend to 2 dimensions using vectors.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Extending the constant acceleration formulae to 2 dimensions using vectors.Year 2 adds: Extending the constant acceleration formulae to 2 dimensions using vectors.
- Use calculus in kinematics for motion in a straight line: v = dr/dt, a = dv/dt = d²r/dt², r = ∫v dt, v = ∫a dt; extend to 2 dimensions using vectors.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Extending calculus in kinematics to 2 dimensions using vectors.Year 2 adds: Extending calculus in kinematics to 2 dimensions using vectors.
M8Forces and Newton's laws
0/6- Understand and use Newton's second law for motion in a straight line (forces in two perpendicular directions or simple 2-D vectors); extend to situations where forces need to be resolved (restricted to 2 dimensions).Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Situations where forces need to be resolved (restricted to 2 dimensions).Year 2 adds: Situations where forces need to be resolved (restricted to 2 dimensions).
- Understand and use Newton's third law; equilibrium of forces on a particle and motion in a straight line; apply to smooth pulleys and connected particles; resolve forces in 2 dimensions; equilibrium of a particle under coplanar forces.Year 1Year 1: this point starts in the AS subject content, which is what most schools teach in Year 12. The full A-level adds in Year 2: Resolving forces in 2 dimensions; equilibrium of a particle under coplanar forces.Year 2 adds: Resolving forces in 2 dimensions; equilibrium of a particle under coplanar forces.
M9Moments
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