# AS Maths e-library

In this section, you will find resources that will support your teaching of our AS Maths specification.

All the resources in the e-library can be accessed free of charge, although some may require a login.

Please note: by using a link to a third party’s website you leave the website of AQA All About Maths. AQA has not verified the websites of third parties linked to below and does not assume any responsibility for their content – particularly not for any offers, information and opinions contained therein.

Ab-surd!
An activity on rationalising denominators.18/07/2017
Rich task looking at combinations of definite integrals.19/07/2017
Antiderivative worksheet
Simple worksheet for thinking about antiderivatives.19/07/2017
Antiderivatives and indefinite integrals
Examples and exercises.19/07/2017
Areas of triangles
Fluency practice for finding the area of triangles using sine.18/07/2017
Average speed
Problems involving average speed.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 Expansion Lock Game
Binomial expansion worksheet where answers to questions are used to obtain a 3-digit code. 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
Calculus in kinematics exercise
Calculus in kinematics worksheet with answers.20/07/2017
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
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
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
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
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
Curve Match
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
Differentiating logarithmic and exponential functions
Notes on differentiating e and ln from first principles.18/07/2017
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 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
Equations
Examples and exercises on quadratic simultaneous equations.18/07/2017
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
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
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
First steps into differentiation
Floppy Hair
Graph matching task looking at maximum points.19/07/2017
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
Frightening function
Functions stack
Rich task looking at symmetry and asymptotes in graphs.18/07/2017
Task looking at graphs of second derivatives.19/07/2017
Graph transforms
Activities for developing fluency in graph transformations.18/07/2017
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
Guessing correlations game
Online game looking at correlation coefficients.19/07/2017
Haircut Costs
A box plot comparison activity.19/07/2017
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
Identifying outliers
Task involving constructing a box plot and considering outliers.19/07/2017
Increasing and decreasing functions
Worksheets looking at increasing and decreasing functions.19/07/2017
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
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
Integration
Slides and worksheet for area under curve.19/07/2017
Integration
Slides introducing integration.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 vectors
Notes, examples and worksheets on component vectors.19/07/2017
Is the gradient function increasing or decreasing on this curve?
Task looking at where functions are increasing and decreasing .19/07/2017
Iteration
Video on how to solve an equation using iteration.19/07/2017
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
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 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
Manipulating Surds
Card sort, dominoes and exercises for simplifying surds.18/07/2017
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
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
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
Optimisation
Activity on finding the optimal size of a baked bean can.19/07/2017
Optimisation worksheet
Contextual optimisation questions.19/07/2017
Over the Moon
An exponential growth problem that can be solved using natural logs.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
Physical quantities and S1 units
A level physics presentation introducing quantities and units.20/07/2017
Position vectors
PowerPoints on moments
Key points summarised in two PowerPoints.20/07/2017
Proving the laws of logarithms
Sorting activity for proving log laws.19/07/2017
Full lessons and exercises on quadratics.18/07/2017
Exercise to practise solving quadratic simultaneous equations.18/07/2017
Activity for identifying intercepts and turning points.18/07/2017
Quartiles and percentiles
Activity using baby weight charts.19/07/2017
Random independence
Reach for the stars
Rich task looking at exponential graphs.18/07/2017
Resolving forces
Examples and exercises for resolving forces.20/07/2017
Resolving Forces
Resolving forces notes and exercises.18/07/2017
Resolving forces worksheet
Practice worksheet for resolving forces.20/07/2017
Review question
Given the position of a mass, can we find its velocity and acceleration? 20/07/2017
Review question
Can we calculate the total time taken for this car journey?20/07/2017
Review question
'If C is on this line, can we find the ratio AC:CB?'19/07/2017
Review question
'If PRBQ is a parallelogram, what is the position vector of Q?'19/07/2017
Review question
'In a 60km/h wind, what bearing should this plane take?'19/07/2017
Review question
Task for solving simultaneous equations with definite integration.19/07/2017
Review question
Question on evaluating a difference of eighth powers.18/07/2017
Review question
Question involving evaluating a power using a binomial expansion.18/07/2017
Review question: final digit
Rich task on number properties and sequences.18/07/2017
Root 2 is irrational
A card sort of proof steps.18/07/2017
Roots and indices maze
Maze activity for practising index laws.17/07/2017
S2 PowerPoints
Statistics PowerPoints and workbook including binomial distribution.20/07/2017
Sampling
Notes, examples, exercises and activity on sampling techniques.19/07/2017
Sampling methods
Slides explaining terminology and sampling techniques.19/07/2017
Sampling techniques
A matching activity for sampling techniques.19/07/2017
Scatter graphs: True or false?
Activity interpreting scatter graphs.19/07/2017
See the power
Rich task looking at solving equations by inspection.18/07/2017
SI brouchure
Chapter 2 defines the base units including mass length and time and the derived units including velocity and acceleration.20/07/2017
Simplifying logarithmic expressions
Lesson ideas and matching activity to practise log laws.19/07/2017
Simultaneous Equations
Scaffolded worksheet on both linear and quadratic simultaneous equations.18/07/2017
Simultaneous Equations Exam Questions
Legacy A level exam questions on simultaneous equations, with answers.18/07/2017
Sleeper moments
Activity in which students annotate a diagram with forces based on a photograph of a real situation, and, using resolving of forces and taking moments, to calculate unknown forces as well as finding the coefficient of friction. 20/07/2017
Slippery Slope
Contextual activity for resolving forces.18/07/2017
Slippery slopes
Sofa moments
Activity looking at the 'heavy end' of a sofa.20/07/2017
Solving problems using Newton's second law
Structured problem sheets.20/07/2017
Solving problems using Newton’s second law
Scaffolded problems involving Newton's second law.18/07/2017
Sorting Equations of Circles 1
Activities and discussion points for circle geometry.18/07/2017
Sorting Equations of Circles 2
Activities and discussion points for circle geometry.18/07/2017
Speed Trap
A box plot comparison activity.19/07/2017
Speed vs velocity
Activity involving sketching graphs for journeys.20/07/2017
Spot the mistake
A spot the mistake activity for quadratic inequalities.18/07/2017
Standard Deviation
Worksheet for developing fluency in calculating and interpreting standard deviation.19/07/2017
Standard Deviation
Worksheet for developing fluency in calculating and interpreting standard deviation.19/07/2017
Statistics 1 PowerPoints
A set of PowerPoints and exercises.19/07/2017
Statistics and probability
Notes and exercises for teaching binomial distribution.20/07/2017
Statistics Review
Worksheet for developing fluency in summarising data.19/07/2017
Statistics revision worksheets
Exam style questions and solutions on binomial distribution.20/07/2017
Straight line worksheets
Notes and worksheets for coordinate geometry, including a topic summary activity.18/07/2017
Stretch the function
Task comparing the area under two graphs.19/07/2017
Surds exam questions
Legacy A level exam questions involving surds, with answers.18/07/2017
SUVAT calculator
The kinematic equations of motion for constant acceleration. Enter the known quantities for initial and final speed, distance, time and acceleration.20/07/2017
SUVAT loop
A simple loop activity to test knowledge of the suvat formulae and units. 20/07/2017
SUVAT Simulations - Projectiles
A flash based simulation20/07/2017
Tangent or normal
Matching task looking at perpendicular lines.19/07/2017
Tangents and normals worksheet
Worksheets for practising finding the tangent and normal to a function.19/07/2017
Teaching and Learning Plan: Geometric Sequences
Lesson ideas, discussion prompts and resources for teaching geometric sequences.18/07/2017
Teddy Bear
Rich task for working with equations of circles.18/07/2017
Activity for exploring Venn diagrams and deriving the addition rule.20/07/2017
The fundamental theorem of calculus
Notes and questions on the fundamental theorem of calculus.19/07/2017
The independent school
An exploration of the ideas behind independence.20/07/2017
The meaning of force
Website explaining how the Newton as a unit of force is derived from acceleration in SI units.20/07/2017
A worksheet for taking a first look at gradients of curves.19/07/2017
Thinking constantly
Problem and solution including Geogebra tool.20/07/2017
To log or not to log?
Sorting activity looking at how to solve various equations.19/07/2017
Tranformations of y = ln x
Applying combined transformations to the graph of y = ln x.18/07/2017
Tranformations of y = lnx
Worksheet on transforming the graph of y = lnx.18/07/2017
Transfomers
Rich task looking at types of graph transformation.18/07/2017
Transformations of curves
Worksheets and notes for graph transformations.18/07/2017
Transforming sin x
Card match activity for transformations of y = sin x.18/07/2017
Translating or not?
Triangle number differences
A RISP (rich starting point) on proof and reasoning18/07/2017
Trig equations worksheet
Simple worksheet of trigonometric equations involving identities.18/07/2017
Trig equations worksheet
Simple worksheet of trigonometric equations involving identities.18/07/2017
Trig equations worksheets
A set of worksheets and notes for solving trigonometric equations. Includes radians.18/07/2017
Trigonometric equations
Notes and practice questions for solving trigonometric equations.18/07/2017
Trigonometric Game: Guess Who Curves
A game for students to develop fluency in trigonometric graph transformations. Instructions are included.18/07/2017
Trigonometric identities worksheets
Proof and practice for trigonometric identities.18/07/2017
Turning Points Worksheets
Worksheets on locating and identifying turning points.19/07/2017
Units and prefixes
Rules for units and prefixes, including a short exercise.20/07/2017
Using Indices
Teaching notes and card match activity for fractional and negative indices.17/07/2017
Vectors
Mixed M1 vector resources including components and resultant vectors.20/07/2017
Vectors
Slides and activities for teaching vectors (designed for GCSE).19/07/2017
Vectors
Worksheet from Adam Ball on magnitude and direction.19/07/2017
Vectors
Question looking at parallel vectors.19/07/2017
Velocity-time worksheet
Worksheet on kinematic graphs.20/07/2017
Walk sorting
Card matching for pairing displacement–time graphs with velocity–time graphs.20/07/2017
What else do you know?
Rich task looking at areas under transformed curves.19/07/2017
What is Newton's first law?
Notes, examples and videos20/07/2017
What's left
Polynomial division problems.18/07/2017
When do these simultaneous equations have a positive solution?
Review question for deeper thinking.18/07/2017
When is 6×7=426×7=42 a counter-example?
Short task exploring proof by counter-example.18/07/2017
Zooming in
Task exploring differentiation from first principles.19/07/2017

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