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Edexcel A-level Maths (9MA0) — revision checklist

Edexcel · A-level 9MA0
89 spec points
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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.

Board and spec code confirmed against Edexcel 9MA0 · registry checked 2026-07-11How this checking works

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 1
    Year 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.

    1.1NotesQuestions

2Algebra and functions

0/11
  • Understand and use the laws of indices for all rational exponents.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    2.1NotesQuestions

  • Use and manipulate surds, including rationalising the denominator.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    2.2NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    2.3NotesQuestions

  • Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    2.4NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    2.5NotesQuestions

  • 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 1
    Year 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).

    2.6NotesQuestions

  • 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 1
    Year 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.

    2.7NotesQuestions

  • Understand and use composite functions; inverse functions and their graphs.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    2.8NotesQuestions

  • 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 1
    Year 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|).

    2.9NotesQuestions

  • Decompose rational functions into partial fractions (denominators not more complicated than squared linear terms and with no more than 3 terms, numerators constant or linear).
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    2.10NotesQuestions

  • Use of functions in modelling, including consideration of limitations and refinements of the models.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    2.11NotesQuestions

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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    3.1NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    3.2NotesQuestions

  • Understand and use the parametric equations of curves and conversion between Cartesian and parametric forms.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    3.3NotesQuestions

  • Use parametric equations in modelling in a variety of contexts.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    3.4NotesQuestions

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 1
    Year 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.

    4.1NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    4.2NotesQuestions

  • Understand and use sigma notation for sums of series.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    4.3NotesQuestions

  • Understand and work with arithmetic sequences and series, including the formulae for nth term and the sum to n terms.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    4.4NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    4.5NotesQuestions

  • Use sequences and series in modelling.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    4.6NotesQuestions

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 1
    Year 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.

    5.1NotesQuestions

  • Understand and use the standard small angle approximations of sine, cosine and tangent: sin θ ≈ θ, cos θ ≈ 1 − θ²/2, tan θ ≈ θ.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    5.2NotesQuestions

  • 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 1
    Year 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.

    5.3NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    5.4NotesQuestions

  • Understand and use tan θ = sin θ / cos θ; understand and use sin²θ + cos²θ = 1, sec²θ = 1 + tan²θ and cosec²θ = 1 + cot²θ.
    Year 1
    Year 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.

    5.5NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    5.6NotesQuestions

  • Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    5.7NotesQuestions

  • Construct proofs involving trigonometric functions and identities.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    5.8NotesQuestions

  • Use trigonometric functions to solve problems in context, including problems involving vectors, kinematics and forces.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    5.9NotesQuestions

6Exponentials and logarithms

0/7
  • Know and use the function aˣ and its graph, where a is positive; know and use the function eˣ and its graph.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.1NotesQuestions

  • Know that the gradient of e^(kx) is equal to k·e^(kx) and hence understand why the exponential model is suitable in many applications.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.2NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.3NotesQuestions

  • Understand and use the laws of logarithms: logₐx + logₐy = logₐ(xy); logₐx − logₐy = logₐ(x/y); k logₐx = logₐxᵏ (including, for example, k = −1 and k = −½).
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.4NotesQuestions

  • Solve equations of the form aˣ = b.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.5NotesQuestions

  • Use logarithmic graphs to estimate parameters in relationships of the form y = axⁿ and y = kbˣ, given data for x and y.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.6NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    6.7NotesQuestions

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 1
    Year 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.

    7.1NotesQuestions

  • 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 1
    Year 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).

    7.2NotesQuestions

  • 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 1
    Year 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.

    7.3NotesQuestions

  • Differentiate using the product rule, the quotient rule and the chain rule, including problems involving connected rates of change and inverse functions.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    7.4NotesQuestions

  • Differentiate simple functions and relations defined implicitly or parametrically, for first derivative only.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    7.5NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    7.6NotesQuestions

8Integration

0/8
  • Know and use the Fundamental Theorem of Calculus.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    8.1NotesQuestions

  • 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 1
    Year 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.

    8.2NotesQuestions

  • Evaluate definite integrals; use a definite integral to find the area under a curve and the area between two curves.
    Year 1
    Year 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.

    8.3NotesQuestions

  • Understand and use integration as the limit of a sum.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    8.4NotesQuestions

  • Carry out simple cases of integration by substitution and integration by parts; understand these methods as the inverse processes of the chain and product rules respectively.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    8.5NotesQuestions

  • Integrate using partial fractions that are linear in the denominator.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    8.6NotesQuestions

  • Evaluate the analytical solution of simple first order differential equations with separable variables, including finding particular solutions.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    8.7NotesQuestions

  • Interpret the solution of a differential equation in the context of solving a problem, including identifying limitations of the solution; includes links to kinematics.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    8.8NotesQuestions

9Numerical methods

0/5
  • Locate roots of f(x) = 0 by considering changes of sign of f(x) in an interval on which f(x) is sufficiently well behaved; understand how change of sign methods can fail.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    9.1NotesQuestions

  • Solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    9.2NotesQuestions

  • Solve equations using the Newton-Raphson method and other recurrence relations of the form xₙ₊₁ = g(xₙ); understand how such methods can fail.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    9.3NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    9.4NotesQuestions

  • Use numerical methods to solve problems in context.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    9.5NotesQuestions

10Vectors

0/5
  • Use vectors in two dimensions and in three dimensions.
    Year 1
    Year 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: Vectors in three dimensions.Year 2 adds: Vectors in three dimensions.

    10.1NotesQuestions

  • Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    10.2NotesQuestions

  • Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    10.3NotesQuestions

  • Understand and use position vectors; calculate the distance between two points represented by position vectors.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    10.4NotesQuestions

  • Use vectors to solve problems in pure mathematics and in context (including forces).
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    10.5NotesQuestions

S1Statistical 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S1.1NotesQuestions

S2Data presentation and interpretation

0/4
  • Interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency; connect to probability distributions.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S2.1NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S2.2NotesQuestions

  • Interpret measures of central tendency and variation, extending to standard deviation; be able to calculate standard deviation, including from summary statistics.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S2.3NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S2.4NotesQuestions

S3Probability

0/3
  • Understand and use mutually exclusive and independent events when calculating probabilities; link to discrete and continuous distributions.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S3.1NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    S3.2NotesQuestions

  • Modelling with probability, including critiquing assumptions made and the likely effect of more realistic assumptions.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    S3.3NotesQuestions

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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S4.1NotesQuestions

  • 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 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    S4.2NotesQuestions

  • Select an appropriate probability distribution for a context, with appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    S4.3NotesQuestions

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 1
    Year 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.

    S5.1NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    S5.2NotesQuestions

  • Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    S5.3NotesQuestions

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 1
    Year 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 and use the language of kinematics: position; displacement; distance travelled; velocity; speed; acceleration.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    M7.1NotesQuestions

  • 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 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    M7.2NotesQuestions

  • Understand, use and derive the formulae for constant acceleration for motion in a straight line; extend to 2 dimensions using vectors.
    Year 1
    Year 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.

    M7.3NotesQuestions

  • 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 1
    Year 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.

    M7.4NotesQuestions

  • Model motion under gravity in a vertical plane using vectors; projectiles.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    M7.5NotesQuestions

M8Forces and Newton's laws

0/6
  • Understand the concept of a force; understand and use Newton's first law.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    M8.1NotesQuestions

  • 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 1
    Year 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).

    M8.2NotesQuestions

  • Understand and use weight and motion in a straight line under gravity; gravitational acceleration, g, and its value in S.I. units to varying degrees of accuracy.
    Year 1
    Year 1: this is the AS subject content the exam board publishes, which is what most schools teach in Year 12.

    M8.3NotesQuestions

  • 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 1
    Year 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.

    M8.4NotesQuestions

  • Understand and use addition of forces; resultant forces; dynamics for motion in a plane.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    M8.5NotesQuestions

  • Understand and use the F ≤ μR model for friction; coefficient of friction; motion of a body on a rough surface; limiting friction and statics.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    M8.6NotesQuestions

M9Moments

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  • Understand and use moments in simple static contexts.
    Year 2
    Year 2: this is content the exam board adds beyond the AS subject content, for the full A-level.

    M9.1NotesQuestions

Turn the reds green faster

Tell me which topics you rated red and we'll spend the lesson exactly there. Free intro call, then a free first lesson.

Book a free intro call

Want a hand with this?

Everything here stays free. If the marks keep going in the same place, I teach the topic behind it one to one from the mark schemes. Free intro call, then a free first lesson.