A-level Maths e-library

In this section, you will find resources that will support your teaching of our A-level Maths specification, including resources for AS.

Use the menu links on the left-hand side to find resources for a particular topic.

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Topic

Type

A frictional story

Task set on a rough inclined plane.20/07/2017

Ab-surd!

An activity on rationalising denominators.18/07/2017

Acceleration due to gravity

Strobe image showing a ball falling allowing students to see acceleration due to gravity.20/07/2017

Addition formulae

Worksheets for practising the addition formulae.18/07/2017

Additional integrals

Rich task looking at combinations of definite integrals.19/07/2017

Alternative form

Worksheets for expressions in the form R sin(x+a) and R cos(x+a).18/07/2017

Antiderivative worksheet

Simple worksheet for thinking about antiderivatives.19/07/2017

Antiderivatives and indefinite integrals

Examples and exercises.19/07/2017

AP proof sorter

This is a self-checking tool to learn and understand the proof of the formula for the sum of an arithmetic series. Flash required.18/07/2017

Applying small angle approximations

Video explaining how to use small angle approximations.18/07/2017

Areas of triangles

Fluency practice for finding the area of triangles using sine.18/07/2017

Arithmetic series

Scaffolded worksheet and extension questions for arithmetic series.18/07/2017

Arithmetic series exam questions

A useful bank of exam questions from the legacy specification.18/07/2017

Average speed

Problems involving average speed.20/07/2017

Binomial and hypothesis testing

Worksheet with binomial questions including hypothesis testing.20/07/2017

Binomial distribution

Notes and worksheets for working with binomial graphs.20/07/2017

Binomial distribution

Notes and exercises for binomial distribution20/07/2017

Binomial distribution

Slides about when and how to use the binomial distribution.20/07/2017

Binomial Expansion Lock Game

Binomial expansion worksheet where answers to questions are used to obtain a 3-digit code. 18/07/2017

Binomial expansion worksheets

Notes, examples and a summary activity for binomial expansions where n is negative or a non-integer.18/07/2017

Binomial expansion worksheets

A set of worksheets to introduce binomial expansion and develop fluency.18/07/2017

Binomial puzzle

A card-based puzzle for binomial distribution.20/07/2017

Breaking Strain

Contextual activity for resolving forces.18/07/2017

Calculating arcs and areas of sectors of circles

Lesson plan and resources for working with sectors in radians.18/07/2017

Calculus in kinematics exercise

Calculus in kinematics worksheet with answers.20/07/2017

Calculus kinematics

A selection of exam style questions and solutions.20/07/2017

Can we approximate the area under this sine curve?

Review question using numerical methods to estimate the area under a sine graph.19/07/2017

Can you find... (cubic edition)

Rich task for exploring cubic graphs.18/07/2017

Can you find... (trigonometry edition)

Rich task looking at transformations of trigonometric curves.18/07/2017

Can you find… chain rule edition

A rich task finding functions to meet certain criteria.19/07/2017

Can you find... trigonometry edition

Activity for combined transformations of sine graphs18/07/2017

Cartesian components of vectors

Notes and exercises on writing vectors in Cartesian component form19/07/2017

Cartesian components of vectors 2

Notes and exercises on writing vectors in Cartesian component form.19/07/2017

Cartesian components of vectors powerpoint

Slides giving an introduction of i and j components in vectors. 19/07/2017

Census or sample?

An activity looking at types of sampling and sample size.19/07/2017

Chain rule resources

Notes, examples and exercises for the chain rule.19/07/2017

Change of sign video

Video showing what a root is and how to show that a root lies in a given interval by using the change of sign method.19/07/2017

Change one thing

Rich task exploring arithmetic sequences.18/07/2017

Circle Geometry

Rich tasks for teaching the equation of a circle.18/07/2017

Circle worksheets

Circle geometry notes and worksheets including a summary exercise.18/07/2017

Circles exam questions

A collection of legacy specification exam questions on circle geometry, with answers.18/07/2017

Classifying equations of parallel and perpendicular lines

Activities and discussion prompts for parallel and perpendicular lines.18/07/2017

Coastal erosion: estimating area

Students approximate the area of a piece of land with an irregular coastline, and the area lost to coastal erosion over time.19/07/2017

Comparing averages and spread

Worksheet in which students alter the original data set and analyse what happens to the averages and spreads. 19/07/2017

Compose!

Rich task looking at composite functions.18/07/2017

Composite and inverse functions

Worksheets on composite and inverse functions.18/07/2017

Conditional probability puzzler

Scaffolded tree diagram activity.20/07/2017

Constant acceleration equations

Notes, examples and exercises.20/07/2017

Coordinate Geometry Group Cards

Tasks for solving linear graph problems.18/07/2017

Correlation and regression

Notes and activities for correlation and regression.19/07/2017

Correlation coefficient

Lesson plans and activities for correlation coefficient.19/07/2017

Cricketing MMM

This is a Powerpoint that covers all the different situations in which calculating measures of location might be required.19/07/2017

Currency

A geometric progression activity involving logs.18/07/2017

Curve Match

Rich task for thinking about curve sketches.18/07/2017

Data types and sampling methods

A gap fill on data collection and sampling19/07/2017

Defining vectors

Activity for developing fluency in vector addition.19/07/2017

Definite integration worksheets

Examples, worksheets and activities on definite integration.19/07/2017

Definite integration worksheets

Examples, worksheets and activities on definite integration.19/07/2017

Differential equations

Worksheet on solving first order differential equations.19/07/2017

Differential equations

Examples of forming and solving differential equations.19/07/2017

Differential Equations

Worksheets for differential equations involving exponential growth.18/07/2017

Differential equations legacy exam questions

Legacy exam questions on forming and solving differential equations.19/07/2017

Differentiating logarithmic and exponential functions

Notes on differentiating e and ln from first principles.18/07/2017

Differentiating trig functions

Worksheets for trig differentiation (includes chain, product and quotient rule).19/07/2017

Differentiation dominoes - simple polynomials

Matching activity for differentiating simple polynomials.19/07/2017

Differentiation from first principles

A group activity investigating gradients of curves.19/07/2017

Differentiation of e and ln

Worksheets for e and ln differentiation (includes chain rule).19/07/2017

Differentiation revision

Mixed worksheet on differentiation.19/07/2017

Differentiation worksheets

Worksheets to practice basic differentiation.19/07/2017

Disciminating

Rich task for exploring the discriminant.18/07/2017

Discussing distance

Rich task looking at two different motion graphs.20/07/2017

Domain and range dominoes

Rich task featuring a card match for domain and range.18/07/2017

Equation or identity?

Trigonometric proof activity in which students classify identities and equations.18/07/2017

Equations

Examples and exercises on quadratic simultaneous equations.18/07/2017

Estimating gradients

Task involving the gradient of y = sinx.19/07/2017

Estimating the coefficient of friction

Practical activity looking at friction.20/07/2017

Evaluating Statements about Radicals

Always, sometimes, never activity.18/07/2017

Ever wondered why?

Codebreaker activity for numerical negative and fractional indices from JustMaths. In this codebreaker resource, each row is arranged in a group of three: an answer, a letter and a question. First do the question under 'Start' and write down the corresponding letter. Find the answer and do the same again - continue until you reach 'finish'17/07/2017

Exact Value Trigonometry

A worksheet requiring students to use their understanding of exact values.18/07/2017

Exercise on differential equations in mechanics

Worksheet with solutions.19/07/2017

Exploring equations in parametric form

Rich tasks looking at the gradient and intercepts of curves given in parametric form.18/07/2017

Exponential and logarithmic regression

Worksheet and video on regression using logs.19/07/2017

Exponential and natural logarithmic functions

Worksheets for plotting and transforming e and ln graphs.18/07/2017

Exponential and natural logarithmic functions

Worksheets for plotting and transforming e and ln graphs.18/07/2017

Exponential functions and their graphs

Practice questions for graphing and applying y = a^x and y = e^x.18/07/2017

Exponential growth and decay

An introduction to exponential growth and decay from the perspective of calculus applications to the physical world. Includes links to video examples and an exploration of population growth.19/07/2017

Exponential growth and decay

Examples and questions for applied exponential functions.19/07/2017

Exponential growth and decay: differential equations

Textbook chapter with explanations, examples and questions.18/07/2017

Exponentially increasing like rabbits

An exponential growth problem that can be solved using natural logs.19/07/2017

Factor theorem and algebraic division worksheets

Fluency exercise for algebraic division.18/07/2017

Factor Theorem Teaching Resources

Rich tasks for the factor theorem.18/07/2017

Factorising quadratics

Fluency exercise for factorising quadratics.18/07/2017

False positive

Probability tree activity.20/07/2017

First order differential equations

Worked examples for differential equations.19/07/2017

First steps into differentiation

An IT task investigating gradient.19/07/2017

Floppy Hair

Graph matching task looking at maximum points.19/07/2017

Force as a vector

Notes and exercises.20/07/2017

Force as a vector

Notes and examples.19/07/2017

Forces acting at an angle: Resolving Forces

Worked examples and exercises for resolving forces.18/07/2017

Forces at a point

Worksheets for drawing diagrams and forces in equilibrium.20/07/2017

Forming differential equations

Short worksheet on forming differential equations.19/07/2017

Four Functions

Rich task considering domain, range and inverse. For each of these functions, can you draw their graph? Can you find the inverse function? Their domain and range?18/07/2017

Friction

Examples and worksheet for the coefficient of friction.20/07/2017

Friction exam revision

PowerPoint with examples.20/07/2017

Frightening function

Rich task to start thinking about partial fractions.18/07/2017

Functions stack

Rich task looking at symmetry and asymptotes in graphs.18/07/2017

Further calculus in kinematics exercise

Exercise and examples for calculus in kinematics, displacement/velocity/acceleration varying with time, in 2D and 3D.20/07/2017

Further projectiles materials

Worksheet and notes.20/07/2017

Geometric sequences and exponetial growth and decay

Lesson ideas and activities for modelling with sequences18/07/2017

Geometric series

Scaffolded worksheet, activities and extension questions for geometric series.18/07/2017

Geometric series exam questions

A useful bank of exam questions from the legacy specification.18/07/2017

Going round in circles

Rich task for discovering the reciprocal Pythagorean identities.18/07/2017

Gradient match

A rich task matching graphs of functions to their gradients.19/07/2017

Gradients of gradients

Task looking at graphs of second derivatives.19/07/2017

Graph transforms

Activities for developing fluency in graph transformations.18/07/2017

Graphical iteration (staircase and cobweb)

8 Questions with graphs to iterate and find estimates for solutions.19/07/2017

Graphing exponential functions

Straightforward fluency practice for graphing y = a^x18/07/2017

Graphing exponential functions

Notes and practice problems for drawing exponential graphs.18/07/2017

Graphs of exponential functions

Lesson and worksheets for graphing y = a^x.18/07/2017

Graphs of inverse trigonometric functions

Activity in which students plot the inverse trigonometric graphs and consider their features.18/07/2017

Guessing correlations game

Online game looking at correlation coefficients.19/07/2017

Haircut Costs

A box plot comparison activity.19/07/2017

Have a sine

Rich extension activity exploring trigonometric ratios and identities.18/07/2017

Heave Ho!

Activity looking at the motion of a heaving line.18/07/2017

Hexagon puzzle

Activity to introduce vectors19/07/2017

Histograms

Slides and questions for histograms.19/07/2017

Hit the spot

Rich task involving magnitude, direction and Cartesian component form.19/07/2017

How Far Did the Earth Move?

Task using logs to model magnitude and energy.19/07/2017

Hypothesis testing

Notes and example including testing for the sample mean.20/07/2017

Hypothesis testing

Notes and examples on how to conduct hypothesis tests.20/07/2017

Hypothesis testing for the binomial distribution

Video explaining how to conduct binomial hypothesis tests.20/07/2017

Hypothesis testing topic mat

Template to complete the stages of hypothesis testing.20/07/2017

Hypothesis testing using the binomial distribution

Geogebra tool for binomial hypothesis tests.20/07/2017

Hypothesis testing worksheets

Worksheets including binomial testing.20/07/2017

I can see u!

Task to develop fluency in writing expressions in terms of u in order to use the chain rule.19/07/2017

Identifying distributions

Classification activity to identify the appropriate statistical model (also includes Binomial, Poisson, Normal, Continuous Uniform Distribution so will need to be adapted).20/07/2017

Identifying distributions

Classification activity to identify the appropriate statistical model (also includes Binomial, Poisson, Normal, Continuous Uniform Distribution so will need to be adapted).20/07/2017

Identifying outliers

Task involving constructing a box plot and considering outliers.19/07/2017

Implicit circles

Task looking at various approaches for finding the gradient of a circle.19/07/2017

Implicit differentiation

Structured worksheets on implicit differentiation.19/07/2017

Inclined plane model

Interactive geogebra file of an object on an inclined plane.20/07/2017

Increasing and decreasing functions

Worksheets looking at increasing and decreasing functions.19/07/2017

Increasing, decreasing and not monotonic sequences

Video explaining the different types of sequence.18/07/2017

Indefinite integration

Examples, worksheets and activities on indefinite integration.19/07/2017

Indefinite integration

Examples, worksheets and activities on indefinite integration.19/07/2017

Independence, dependence, mutually exclusive or not?

Worksheet using set notation to look at independence and related concepts.20/07/2017

Independent, dependent and mutually exclusive events

Video summarising what we mean by dependent, independent and mutually exclusive events and related probability formulae.20/07/2017

Indices activities

Five rich tasks for exploring indices both numerically and algebraically.17/07/2017

Indices matching

Worksheet for practising index laws and algebraic fractional and negative indices17/07/2017

Inequalities

Examples and exercises for linear, quadratic and graphical inequalities.18/07/2017

Inequalities for some occasions

Rich task on quadratic inequalities.18/07/2017

Inequalities worksheets

A set of exercises on linear and quadratic inequalities.18/07/2017

Inequality Exam Questions

Legacy A level exam questions on linear and quadratic inequalities, with answers.18/07/2017

Inequations: Regions

Fluency practice for graphical inequalities.18/07/2017

Integral chasing

Rich task for developing fluency in definite integration.19/07/2017

Integral sorting

Card match activity for integration by substitution.19/07/2017

Integrating algebraic fractions

Notes and exercises for integrating with partial fractions19/07/2017

Integration

Slides and worksheet for area under curve.19/07/2017

Integration

Slides introducing integration.19/07/2017

Integration by parts

Integration by parts questions.19/07/2017

Integration by substitution

Integration questions that require substitution.19/07/2017

International System of Units (SI)

Website defining the SI base units and providing information about their historical context.20/07/2017

Interpreting frequency graph, cumulative frequency graphs and box and whisker plots

Lesson plan and card sort.19/07/2017

Interpreting frequency graph, cumulative frequency graphs and box and whisker plots

Lesson plan and card sort.19/07/2017

Interpreting the regression line constants, explanatory and response variables

Video on interpreting regression lines.19/07/2017

Introducing e

Lesson plans and activities for introducing the concept of e.18/07/2017

Introduction to algebra

Fluency exercise for simplifying algebra.18/07/2017

Introduction to series

Straightforward worksheet on sigma notation, to develop fluency.18/07/2017

Introduction to vectors

Notes, examples and worksheets on component vectors.19/07/2017

Inverse, composite, domain and range of functions

Gap fill activity designed for pairs or groups 18/07/2017

Is the gradient function increasing or decreasing on this curve?

Task looking at where functions are increasing and decreasing .19/07/2017

Is the Serpentine Lake really 40m acres?

Approximation task linked to introducing calculus.18/07/2017

Is the Serpentine Lake really 40m?

Rich task looking at approximating areas.19/07/2017

Iteration

Video on how to solve an equation using iteration.19/07/2017

Kangaroo lovers

A activity to explore the sum to infinity of convergent geometric progressions.18/07/2017

Kinematics workbook

Comprehensive workbook containing a wide range of questions on topics in kinematics.20/07/2017

Linear equations and Mr Venn

Rich task for classifying equations of straight lines.18/07/2017

Linear Functions

Rich tasks for linear graphs.18/07/2017

Linking the properties and forms of quadratic functions

Card sort for quadratic functions.18/07/2017

Logarithm dominoes - simplifying logs

Matching activity involving log laws.19/07/2017

Logarithm lattice

Rich task sorting log expressions by size18/07/2017

Logarithm worksheets

Log law worksheets to develop fluency.19/07/2017

Logarithmic equations maze activity

Fun worksheets for solving equations using logs and ln.19/07/2017

Magnitude and angle of the resultant force

Overview video.20/07/2017

Make it equal

In each situation, students are given two of the forces and the fact the particle is in equilibrium, and have to find the third force.20/07/2017

Make it stop!

Rich task involving applying forces to particles.20/07/2017

Make it stop!

Rich task involving applying forces to particles.20/07/2017

Making predictions and reliability of predicted values

Video on using regression lines.19/07/2017

Making statistics vital

When is a reading from a Binomial distribution significant? It all depends on the level of the test. Here is a chance to test student understanding of the issue, with the help of Excel.20/07/2017

Manipulating Surds

Card sort, dominoes and exercises for simplifying surds.18/07/2017

Matching differential equations to descriptions

Card match activity in which students match descriptions to equations.19/07/2017

Mathematical Modelling

Teacher package of articles and lesson ideas.18/07/2017

Maxmimums and minimums in alternative form

Worksheet looking at graphs of R sin(x+a) and R cos(x+a) to determine maximums and minimums18/07/2017

Mechanics 1 PowerPoints

A set of PowerPoints including one on vectors for mechanics which includes magnitude/direction form.19/07/2017

Mechanics 1 Videos

A set of videos including vectors.19/07/2017

Mechanics PowerPoint

PowerPoint and workbook for mechanics topics.20/07/2017

Modulus always, sometimes, never

Activity in which students classify statements about modulus graphs and transformations.18/07/2017

Modulus function worksheets

Worksheets for Modulus equations, inequalities, graphs and transformations.18/07/2017

Moments

Moments puzzle challenge.20/07/2017

Moments revision sheet and problems

A set of problems on moments.20/07/2017

Moments worksheets

Worksheets and examples for moments.20/07/2017

Money matters

Contextual worksheet to practise calculating terms and sums from an arithmetic series.18/07/2017

Muddled trig

A matching activity involve trigonometric graphs.18/07/2017

Nested Surds

A rich task to explore surds.18/07/2017

Newton, Leibniz, and Usain Bolt

An introductory video about some of the concepts underlying calculus.19/07/2017

Newton's first law conceptual worksheet

Questions on Newton's first law.20/07/2017

Newton's first law conceptual worksheet

Questions on Newton's first law.20/07/2017

Newton's first law of motion

Video explaining Newton's first law of motion.20/07/2017

Newton's laws of motion

A sheet for summarising and testing knowledge of Newton's laws of motion.20/07/2017

Newton's second law

Video explaining Newton's second law.20/07/2017

Newton's third law activities

Discussion points for making sense of Newton's third law.20/07/2017

Newton's third law of motion

Lesson ideas and practical activities for exploring Newton's third law.20/07/2017

Newton's third law of motion

Examples and exercises20/07/2017

Newton's third law of motion

Overview video.20/07/2017

Normal distribution matching activity

A card sort activity where students match questions to graphs and solutions.20/07/2017

Normal distribution question sheets

A set of contextual normal distribution questions with answers.20/07/2017

Numerical Methods

Numerical methods exam questions and slides.19/07/2017

Numerical Methods

Brief notes and examples for location of roots, iterative procedures, cobweb diagrams and staircase diagrams.19/07/2017

Numerical Methods

Fluency practice for the change of sign rule.19/07/2017

Numerical methods notes

Notes on numerical methods.19/07/2017

Numerical methods: finding roots

Interactive slides for finding roots.19/07/2017

One windy day

Problem involving the trajectory of a ball.20/07/2017

One windy day

Rich task about the trajectory of the ball.19/07/2017

One windy day

Mechanics problem involving vector geometry and parametric equations.18/07/2017

Optimisation

Activity on finding the optimal size of a baked bean can.19/07/2017

Optimisation worksheet

Contextual optimisation questions.19/07/2017

Order! Order!

Investigation into combined transformations.18/07/2017

Ordinary differential equations

Notes including Newton’s law of cooling.19/07/2017

Over the Moon

An exponential growth problem that can be solved using natural logs.19/07/2017

Parametric and cartesian equations target board

Activity with levels of increasing difficulty.18/07/2017

Parametric and implicit differentiation

Notes, examples and exercises for parametric and implicit differentiation.19/07/2017

Parametric Equations

Slides and exercises for teaching parametric equations.18/07/2017

Parametric functions lock game

Activity involving all aspects of working with parametric equations.18/07/2017

Parametric paths

Rich task exploring parametric functions.18/07/2017

Parametric points

A matching activity looking at stationary and critical points on parametric curves.19/07/2017

Partial fraction codebreakers

Activities to practise partial fraction decomposition.19/07/2017

Partial fractions

Slides and questions.18/07/2017

Partial fractions

Notes and exercises on partial fractions.18/07/2017

Partial Fractions Card Sort

Card sort to determine which method to use.18/07/2017

Parts, substitution, recognition

A set of integration worksheets.19/07/2017

Physical quantities and S1 units

A level physics presentation introducing quantities and units.20/07/2017

Picture the process I

Sketch graphs for real life situations18/07/2017

Picture the process II

Sketch graphs for real life situations.18/07/2017

Position vectors

Video about position vectors.19/07/2017

PowerPoints on moments

Key points summarised in two PowerPoints.20/07/2017

Probability

Worksheet and matching activity.20/07/2017

Product and quotient rule resources

Notes, examples and exercises for the chain rule.19/07/2017

Projectile simulator activity sheet

Activity, with simulation, to explore a variety of questions regarding projectiles.20/07/2017

Proof and reasoning

Proof notes and examples.18/07/2017

Proof of the addition formula

Scaffolded worksheet allowing an accessible proof of the addition and double angle formulae.18/07/2017

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A-level Maths e-library

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