For students and teachers of A level Maths & Further Maths

Resources for teaching the 2017 specifications

These teaching resources for the 2017 specifications are provided by MEI. They are linked with MEI's scheme of work which can be used with any of the 2017 A level specifications.

AS Problem solvingProblem solving posters
Six problems which can be accessed by students starting A level Mathematics, providing an opportunity to think about the three Overarching Themes.
AS Surds and indicesSurds arithmagons
Developing understanding of the inverse processes of multiplication and division of surds.
AS Quadratic functionsQuadratics two-way table
Making links between the algebraic and graphical representations of quadratics, particularly those which do not factorise over integers.
AS Equations and inequalitiesCategorising quadratic inequalities
Encouraging students to become fluent with quadratic inequalities, focusing on three properties simultaneously.
AS Coordinate geometryTilted square
A problem-solving activity to support students in building upon their GCSE knowledge and discovering the ideas involved at A level.
AS TrigonometrySolving trigonometric equations
Card sorts to support students in developing confidence in solving trigonometric equations which involve the use of trigonometric identities.
AS PolynomialsEquations of cubic curves
This activity is designed to help students make links between the factorised form of a cubic and its graph, particularly the axes intercepts.
AS Graphs and transformationsUnderstanding transformations
Reading values from graphs to deepen understanding of links between a transformed function and its graph.
AS The binomial expansionBinomial expansion section test
A short student test with answers. There are similar tests on Integral for all topics and students can enter their answers online for immediate feedback.
AS DifferentiationWith or without calculus?
Two problems which can both be solved with or without differentiation.
AS IntegrationCalculus card match
Using index and surd form in differentiation and integration.
AS VectorsProperties of vectors
Given a set of properties of vectors, arrange a set of vectors so that each property is satisfied by one or two of the vectors.
AS Exponentials and logarithmsBenford's Law
An article about an application of logarithms followed by questions.
AS Data collectionSampling techniques
Focusing on the appropriateness of different sampling techniques for different statistical investigations.
AS Data processing, presentation and interpretationHistogram reconstruction
A puzzle for students to use given information to recreate a number of histograms.
AS ProbabilityThinking about probability
Focusing on independent and mutually exclusive events.
AS The binomial distributionBinomial experiment
Introducing the binomial distribution through a dice experiment. This spreadsheet is used.
AS Statistical hypothesis testing using the binomial distributionMatching critical regions
Developing the idea of critical regions through a matching activity.
AS KinematicsConstant acceleration activity
A noughts and crosses game based on the constant acceleration formulae.
AS Forces and Newton's laws of motionFeeling forces
Three simple experiments which help students to focus on forces and describe these using force diagrams.
AS Variable accelerationMotion graphs
Given one motion graph, deduce related ones.
A level ProofThe irrationality of √2
Designed to help students focus on aspects of proof by contradiction. Students need to arrange 22 cards to make two coherent proofs. There are opportunities for critiquing and extending.
A level TrigonometryArcs and sectors
A problem-solving activity aimed at developing fluency where students have to complete the missing entries in a grid.
A level Sequences and seriesThinking about sequences
Converting between various algebraic and numeric representations of sequences and series.
A level FunctionsDomain-range grid
Encouraging students to think about the natural domains and ranges of all the functions they have met.
A level DifferentiationTangents and normals
Using the chain, product and quotient rules in finding equations of tangents and normals.
A level Trigonometric functionsSometimes, Always, Never True Trigonometric statements
A group activity where students decide for what range of x-values a statement is true and give a justification for their decision.
A level AlgebraCorrect me
This 'student work' contains many of the common errors that are made when using the binomial theorem.
A level Trigonometric identitiesThree challenge questions
A selection of three questions involving concepts from a number of the trigonometry units, aimed at challenging students to think.
A level Further differentiationProduct and quotient rule dominoes
A set of 20 dominoes which provides students with an opportunity to practise the product and quotient rules with trigonometric, exponential and logarithmic functions.
A level IntegrationMethods of integration
A group activity deciding on the method required to integrate each of a range of functions.
A level Parametric equationsParametric cards
Given seven functions x = f(t) and seven functions y = g(t), use information provided to pair them up to give seven parametric curves.
A level VectorsProperties of 3D vectors
Arrange a set of given vectors so that each of the properties in a grid is satisfied by one or more vectors.
A level Differential equationsThe world population
A comprehension paper which involves modelling using differential equations.
A level Numerical methodsInvestigating iterative formulae
A collaborative task which encourages students to explore various rearrangements of an equation in order to produce an iterative formula which homes in on a root of the equation.
A level ProbabilityHuge Venn diagram
Introducing the ideas of conditional probability through a Venn diagram.
A level Probability distributionsNormal curves
A task for students to make strong visual links between probabilities, areas under normal curves, and the cumulative normal probability function.
A level Hypothesis testingCorrelation game
A game which builds students' understanding of the connection between a scatter diagram and the correlation value.
A level KinematicsGeneral motion
Arranging a set of cards to form solutions to two kinematics questions.
A level Force and motionNewton's Laws experiments
Encouraging students to experience and visualise scenarios based around force and motion.
A level MomentsBalancing a ruler
A resource motivating the study of moments.
A level ProjectilesProjectile problems
Designing projectiles questions with a particular feature, such as specified time of flight.
A level FrictionLaw of friction
Establishing the inequality FμR as a model for friction.