For students and teachers of A level Maths & Further Maths
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 solving||Problem 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 indices||Surds arithmagons|
Developing understanding of the inverse processes of multiplication and division of surds.
|AS Quadratic functions||Quadratics two-way table|
Making links between the algebraic and graphical representations of quadratics, particularly those which do not factorise over integers.
|AS Equations and inequalities||Categorising quadratic inequalities|
Encouraging students to become fluent with quadratic inequalities, focusing on three properties simultaneously.
|AS Coordinate geometry||Tilted square|
A problem-solving activity to support students in building upon their GCSE knowledge and discovering the ideas involved at A level.
|AS Trigonometry||Solving trigonometric equations|
Card sorts to support students in developing confidence in solving trigonometric equations which involve the use of trigonometric identities.
|AS Polynomials||Equations 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 transformations||Understanding transformations|
Reading values from graphs to deepen understanding of links between a transformed function and its graph.
|AS The binomial expansion||Binomial 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 Differentiation||With or without calculus?|
Two problems which can both be solved with or without differentiation.
|AS Integration||Calculus card match|
Using index and surd form in differentiation and integration.
|AS Vectors||Properties 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 logarithms||Benford's Law|
An article about an application of logarithms followed by questions.
|AS Data collection||Sampling techniques|
Focusing on the appropriateness of different sampling techniques for different statistical investigations.
|AS Data processing, presentation and interpretation||Histogram reconstruction|
A puzzle for students to use given information to recreate a number of histograms.
|AS Probability||Thinking about probability|
Focusing on independent and mutually exclusive events.
|AS The binomial distribution||Binomial experiment|
Introducing the binomial distribution through a dice experiment. This spreadsheet is used.
|AS Statistical hypothesis testing using the binomial distribution||Matching critical regions|
Developing the idea of critical regions through a matching activity.
|AS Kinematics||Constant acceleration activity|
A noughts and crosses game based on the constant acceleration formulae.
|AS Forces and Newton's laws of motion||Feeling forces|
Three simple experiments which help students to focus on forces and describe these using force diagrams.
|AS Variable acceleration||Motion graphs|
Given one motion graph, deduce related ones.
|A level Proof||The 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 Trigonometry||Arcs 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 series||Thinking about sequences|
Converting between various algebraic and numeric representations of sequences and series.
|A level Functions||Domain-range grid|
Encouraging students to think about the natural domains and ranges of all the functions they have met.
|A level Differentiation||Tangents and normals|
Using the chain, product and quotient rules in finding equations of tangents and normals.
|A level Trigonometric functions||Sometimes, 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 Algebra||Correct me|
This 'student work' contains many of the common errors that are made when using the binomial theorem.
|A level Trigonometric identities||Three 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 differentiation||Product 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 Integration||Methods of integration|
A group activity deciding on the method required to integrate each of a range of functions.
|A level Parametric equations||Parametric 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 Vectors||Properties 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 equations||The world population|
A comprehension paper which involves modelling using differential equations.
|A level Numerical methods||Investigating 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 Probability||Huge Venn diagram|
Introducing the ideas of conditional probability through a Venn diagram.
|A level Probability distributions||Normal 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 testing||Correlation game|
A game which builds students' understanding of the connection between a scatter diagram and the correlation value.
|A level Kinematics||General motion|
Arranging a set of cards to form solutions to two kinematics questions.
|A level Force and motion||Newton's Laws experiments|
Encouraging students to experience and visualise scenarios based around force and motion.
|A level Moments||Balancing a ruler|
A resource motivating the study of moments.
|A level Projectiles||Projectile problems|
Designing projectiles questions with a particular feature, such as specified time of flight.
|A level Friction||Law of friction|
Establishing the inequality F≤μR as a model for friction.