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All About Maths

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.

A frictional story
Task set on a rough inclined plane.20/07/2017
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Ab-surd!
An activity on rationalising denominators.18/07/2017
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Acceleration due to gravity
Strobe image showing a ball falling allowing students to see acceleration due to gravity.20/07/2017
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Addition formulae
Worksheets for practising the addition formulae.18/07/2017
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Additional integrals
Rich task looking at combinations of definite integrals.19/07/2017
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Alternative form
Worksheets for expressions in the form R sin(x+a) and R cos(x+a).18/07/2017
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Antiderivative worksheet
Simple worksheet for thinking about antiderivatives.19/07/2017
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Antiderivatives and indefinite integrals
Examples and exercises.19/07/2017
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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
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Applying small angle approximations
Video explaining how to use small angle approximations.18/07/2017
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Areas of triangles
Fluency practice for finding the area of triangles using sine.18/07/2017
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Arithmetic series
Scaffolded worksheet and extension questions for arithmetic series.18/07/2017
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Arithmetic series exam questions
A useful bank of exam questions from the legacy specification.18/07/2017
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Average speed
Problems involving average speed.20/07/2017
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Binomial and hypothesis testing
Worksheet with binomial questions including hypothesis testing.20/07/2017
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Binomial distribution
Notes and worksheets for working with binomial graphs.20/07/2017
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Binomial distribution
Notes and exercises for binomial distribution20/07/2017
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Binomial distribution
Slides about when and how to use the binomial distribution.20/07/2017
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Binomial Expansion Lock Game
Binomial expansion worksheet where answers to questions are used to obtain a 3-digit code. 18/07/2017
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Binomial expansion worksheets
Notes, examples and a summary activity for binomial expansions where n is negative or a non-integer.18/07/2017
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Binomial expansion worksheets
A set of worksheets to introduce binomial expansion and develop fluency.18/07/2017
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Binomial puzzle
A card-based puzzle for binomial distribution.20/07/2017
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Breaking Strain
Contextual activity for resolving forces.18/07/2017
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Calculating arcs and areas of sectors of circles
Lesson plan and resources for working with sectors in radians.18/07/2017
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Calculus in kinematics exercise
Calculus in kinematics worksheet with answers.20/07/2017
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Calculus kinematics
A selection of exam style questions and solutions.20/07/2017
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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
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Can you find... (cubic edition)
Rich task for exploring cubic graphs.18/07/2017
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Can you find... (trigonometry edition)
Rich task looking at transformations of trigonometric curves.18/07/2017
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Can you find… chain rule edition
A rich task finding functions to meet certain criteria.19/07/2017
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Can you find... trigonometry edition
Activity for combined transformations of sine graphs18/07/2017
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Cartesian components of vectors
Notes and exercises on writing vectors in Cartesian component form19/07/2017
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Cartesian components of vectors 2
Notes and exercises on writing vectors in Cartesian component form.19/07/2017
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Cartesian components of vectors powerpoint
Slides giving an introduction of i and j components in vectors. 19/07/2017
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Census or sample?
An activity looking at types of sampling and sample size.19/07/2017
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Chain rule resources
Notes, examples and exercises for the chain rule.19/07/2017
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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
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Change one thing
Rich task exploring arithmetic sequences.18/07/2017
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Circle Geometry
Rich tasks for teaching the equation of a circle.18/07/2017
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Circle worksheets
Circle geometry notes and worksheets including a summary exercise.18/07/2017
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Circles exam questions
A collection of legacy specification exam questions on circle geometry, with answers.18/07/2017
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Classifying equations of parallel and perpendicular lines
Activities and discussion prompts for parallel and perpendicular lines.18/07/2017
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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
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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
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Compose!
Rich task looking at composite functions.18/07/2017
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Composite and inverse functions
Worksheets on composite and inverse functions.18/07/2017
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Conditional probability puzzler
Scaffolded tree diagram activity.20/07/2017
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Constant acceleration equations
Notes, examples and exercises.20/07/2017
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Coordinate Geometry Group Cards
Tasks for solving linear graph problems.18/07/2017
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Correlation and regression
Notes and activities for correlation and regression.19/07/2017
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Correlation coefficient
Lesson plans and activities for correlation coefficient.19/07/2017
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Cricketing MMM
This is a Powerpoint that covers all the different situations in which calculating measures of location might be required.19/07/2017
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Currency
A geometric progression activity involving logs.18/07/2017
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Curve Match
Rich task for thinking about curve sketches.18/07/2017
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Data types and sampling methods
A gap fill on data collection and sampling19/07/2017
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Defining vectors
Activity for developing fluency in vector addition.19/07/2017
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Definite integration worksheets
Examples, worksheets and activities on definite integration.19/07/2017
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Definite integration worksheets
Examples, worksheets and activities on definite integration.19/07/2017
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Differential equations
Worksheet on solving first order differential equations.19/07/2017
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Differential equations
Examples of forming and solving differential equations.19/07/2017
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Differential Equations
Worksheets for differential equations involving exponential growth.18/07/2017
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Differential equations legacy exam questions
Legacy exam questions on forming and solving differential equations.19/07/2017
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Differentiating logarithmic and exponential functions
Notes on differentiating e and ln from first principles.18/07/2017
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Differentiating trig functions
Worksheets for trig differentiation (includes chain, product and quotient rule).19/07/2017
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Differentiation dominoes - simple polynomials
Matching activity for differentiating simple polynomials.19/07/2017
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Differentiation from first principles
A group activity investigating gradients of curves.19/07/2017
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Differentiation of e and ln
Worksheets for e and ln differentiation (includes chain rule).19/07/2017
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Differentiation revision
Mixed worksheet on differentiation.19/07/2017
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Differentiation worksheets
Worksheets to practice basic differentiation.19/07/2017
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Disciminating
Rich task for exploring the discriminant.18/07/2017
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Discussing distance
Rich task looking at two different motion graphs.20/07/2017
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Domain and range dominoes
Rich task featuring a card match for domain and range.18/07/2017
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Equation or identity?
Trigonometric proof activity in which students classify identities and equations.18/07/2017
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Equations
Examples and exercises on quadratic simultaneous equations.18/07/2017
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Estimating gradients
Task involving the gradient of y = sinx.19/07/2017
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Estimating the coefficient of friction
Practical activity looking at friction.20/07/2017
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Evaluating Statements about Radicals
Always, sometimes, never activity.18/07/2017
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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
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Exact Value Trigonometry
A worksheet requiring students to use their understanding of exact values.18/07/2017
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Exercise on differential equations in mechanics
Worksheet with solutions.19/07/2017
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Exploring equations in parametric form
Rich tasks looking at the gradient and intercepts of curves given in parametric form.18/07/2017
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Exponential and logarithmic regression
Worksheet and video on regression using logs.19/07/2017
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Exponential and natural logarithmic functions
Worksheets for plotting and transforming e and ln graphs.18/07/2017
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Exponential and natural logarithmic functions
Worksheets for plotting and transforming e and ln graphs.18/07/2017
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Exponential functions and their graphs
Practice questions for graphing and applying y = a^x and y = e^x.18/07/2017
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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
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Exponential growth and decay
Examples and questions for applied exponential functions.19/07/2017
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Exponential growth and decay: differential equations
Textbook chapter with explanations, examples and questions.18/07/2017
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Exponentially increasing like rabbits
An exponential growth problem that can be solved using natural logs.19/07/2017
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Factor theorem and algebraic division worksheets
Fluency exercise for algebraic division.18/07/2017
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Factor Theorem Teaching Resources
Rich tasks for the factor theorem.18/07/2017
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Factorising quadratics
Fluency exercise for factorising quadratics.18/07/2017
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False positive
Probability tree activity.20/07/2017
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First order differential equations
Worked examples for differential equations.19/07/2017
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First steps into differentiation
An IT task investigating gradient.19/07/2017
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Floppy Hair
Graph matching task looking at maximum points.19/07/2017
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Force as a vector
Notes and exercises.20/07/2017
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Force as a vector
Notes and examples.19/07/2017
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Forces acting at an angle: Resolving Forces
Worked examples and exercises for resolving forces.18/07/2017
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Forces at a point
Worksheets for drawing diagrams and forces in equilibrium.20/07/2017
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Forming differential equations
Short worksheet on forming differential equations.19/07/2017
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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
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Friction
Examples and worksheet for the coefficient of friction.20/07/2017
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Friction exam revision
PowerPoint with examples.20/07/2017
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Frightening function
Rich task to start thinking about partial fractions.18/07/2017
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Functions stack
Rich task looking at symmetry and asymptotes in graphs.18/07/2017
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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
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Further projectiles materials
Worksheet and notes.20/07/2017
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Geometric sequences and exponetial growth and decay
Lesson ideas and activities for modelling with sequences18/07/2017
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Geometric series
Scaffolded worksheet, activities and extension questions for geometric series.18/07/2017
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Geometric series exam questions
A useful bank of exam questions from the legacy specification.18/07/2017
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Going round in circles
Rich task for discovering the reciprocal Pythagorean identities.18/07/2017
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Gradient match
A rich task matching graphs of functions to their gradients.19/07/2017
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Gradients of gradients
Task looking at graphs of second derivatives.19/07/2017
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Graph transforms
Activities for developing fluency in graph transformations.18/07/2017
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Graphical iteration (staircase and cobweb)
8 Questions with graphs to iterate and find estimates for solutions.19/07/2017
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Graphing exponential functions
Straightforward fluency practice for graphing y = a^x18/07/2017
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Graphing exponential functions
Notes and practice problems for drawing exponential graphs.18/07/2017
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Graphs of exponential functions
Lesson and worksheets for graphing y = a^x.18/07/2017
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Graphs of inverse trigonometric functions
Activity in which students plot the inverse trigonometric graphs and consider their features.18/07/2017
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Guessing correlations game
Online game looking at correlation coefficients.19/07/2017
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Haircut Costs
A box plot comparison activity.19/07/2017
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Have a sine
Rich extension activity exploring trigonometric ratios and identities.18/07/2017
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Heave Ho!
Activity looking at the motion of a heaving line.18/07/2017
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Hexagon puzzle
Activity to introduce vectors19/07/2017
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Histograms
Slides and questions for histograms.19/07/2017
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Hit the spot
Rich task involving magnitude, direction and Cartesian component form.19/07/2017
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How Far Did the Earth Move?
Task using logs to model magnitude and energy.19/07/2017
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Hypothesis testing
Notes and example including testing for the sample mean.20/07/2017
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Hypothesis testing
Notes and examples on how to conduct hypothesis tests.20/07/2017
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Hypothesis testing for the binomial distribution
Video explaining how to conduct binomial hypothesis tests.20/07/2017
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Hypothesis testing topic mat
Template to complete the stages of hypothesis testing.20/07/2017
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Hypothesis testing using the binomial distribution
Geogebra tool for binomial hypothesis tests.20/07/2017
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Hypothesis testing worksheets
Worksheets including binomial testing.20/07/2017
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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
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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
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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
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Identifying outliers
Task involving constructing a box plot and considering outliers.19/07/2017
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Implicit circles
Task looking at various approaches for finding the gradient of a circle.19/07/2017
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Implicit differentiation
Structured worksheets on implicit differentiation.19/07/2017
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Inclined plane model
Interactive geogebra file of an object on an inclined plane.20/07/2017
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Increasing and decreasing functions
Worksheets looking at increasing and decreasing functions.19/07/2017
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Increasing, decreasing and not monotonic sequences
Video explaining the different types of sequence.18/07/2017
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Indefinite integration
Examples, worksheets and activities on indefinite integration.19/07/2017
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Indefinite integration
Examples, worksheets and activities on indefinite integration.19/07/2017
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Independence, dependence, mutually exclusive or not?
Worksheet using set notation to look at independence and related concepts.20/07/2017
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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
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Indices activities
Five rich tasks for exploring indices both numerically and algebraically.17/07/2017
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Indices matching
Worksheet for practising index laws and algebraic fractional and negative indices17/07/2017
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Inequalities
Examples and exercises for linear, quadratic and graphical inequalities.18/07/2017
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Inequalities for some occasions
Rich task on quadratic inequalities.18/07/2017
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Inequalities worksheets
A set of exercises on linear and quadratic inequalities.18/07/2017
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Inequality Exam Questions
Legacy A level exam questions on linear and quadratic inequalities, with answers.18/07/2017
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Inequations: Regions
Fluency practice for graphical inequalities.18/07/2017
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Integral chasing
Rich task for developing fluency in definite integration.19/07/2017
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Integral sorting
Card match activity for integration by substitution.19/07/2017
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Integrating algebraic fractions
Notes and exercises for integrating with partial fractions19/07/2017
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Integration
Slides and worksheet for area under curve.19/07/2017
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Integration
Slides introducing integration.19/07/2017
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Integration by parts
Integration by parts questions.19/07/2017
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Integration by substitution
Integration questions that require substitution.19/07/2017
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International System of Units (SI)
Website defining the SI base units and providing information about their historical context.20/07/2017
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Interpreting frequency graph, cumulative frequency graphs and box and whisker plots
Lesson plan and card sort.19/07/2017
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Interpreting frequency graph, cumulative frequency graphs and box and whisker plots
Lesson plan and card sort.19/07/2017
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Interpreting the regression line constants, explanatory and response variables
Video on interpreting regression lines.19/07/2017
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Introducing e
Lesson plans and activities for introducing the concept of e.18/07/2017
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Introduction to algebra
Fluency exercise for simplifying algebra.18/07/2017
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Introduction to series
Straightforward worksheet on sigma notation, to develop fluency.18/07/2017
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Introduction to vectors
Notes, examples and worksheets on component vectors.19/07/2017
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Inverse, composite, domain and range of functions
Gap fill activity designed for pairs or groups 18/07/2017
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Is the gradient function increasing or decreasing on this curve? 
Task looking at where functions are increasing and decreasing .19/07/2017
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Is the Serpentine Lake really 40m acres?
Approximation task linked to introducing calculus.18/07/2017
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Is the Serpentine Lake really 40m?
Rich task looking at approximating areas.19/07/2017
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Iteration
Video on how to solve an equation using iteration.19/07/2017
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Kangaroo lovers
A activity to explore the sum to infinity of convergent geometric progressions.18/07/2017
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Kinematics workbook
Comprehensive workbook containing a wide range of questions on topics in kinematics.20/07/2017
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Linear equations and Mr Venn
Rich task for classifying equations of straight lines.18/07/2017
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Linear Functions
Rich tasks for linear graphs.18/07/2017
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Linking the properties and forms of quadratic functions
Card sort for quadratic functions.18/07/2017
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Logarithm dominoes - simplifying logs
Matching activity involving log laws.19/07/2017
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Logarithm lattice
Rich task sorting log expressions by size18/07/2017
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Logarithm worksheets
Log law worksheets to develop fluency.19/07/2017
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Logarithmic equations maze activity
Fun worksheets for solving equations using logs and ln.19/07/2017
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Magnitude and angle of the resultant force
Overview video.20/07/2017
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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
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Make it stop!
Rich task involving applying forces to particles.20/07/2017
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Make it stop!
Rich task involving applying forces to particles.20/07/2017
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Making predictions and reliability of predicted values
Video on using regression lines.19/07/2017
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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
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Manipulating Surds
Card sort, dominoes and exercises for simplifying surds.18/07/2017
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Matching differential equations to descriptions
Card match activity in which students match descriptions to equations.19/07/2017
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Mathematical Modelling
Teacher package of articles and lesson ideas.18/07/2017
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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
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Mechanics 1 PowerPoints
A set of PowerPoints including one on vectors for mechanics which includes magnitude/direction form.19/07/2017
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Mechanics 1 Videos
A set of videos including vectors.19/07/2017
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Mechanics PowerPoint
PowerPoint and workbook for mechanics topics.20/07/2017
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Modulus always, sometimes, never
Activity in which students classify statements about modulus graphs and transformations.18/07/2017
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Modulus function worksheets
Worksheets for Modulus equations, inequalities, graphs and transformations.18/07/2017
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Moments
Moments puzzle challenge.20/07/2017
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Moments revision sheet and problems
A set of problems on moments.20/07/2017
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Moments worksheets
Worksheets and examples for moments.20/07/2017
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Money matters
Contextual worksheet to practise calculating terms and sums from an arithmetic series.18/07/2017
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Muddled trig
A matching activity involve trigonometric graphs.18/07/2017
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Nested Surds
A rich task to explore surds.18/07/2017
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Newton, Leibniz, and Usain Bolt
An introductory video about some of the concepts underlying calculus.19/07/2017
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Newton's first law conceptual worksheet
Questions on Newton's first law.20/07/2017
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Newton's first law conceptual worksheet
Questions on Newton's first law.20/07/2017
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Newton's first law of motion
Video explaining Newton's first law of motion.20/07/2017
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Newton's laws of motion
A sheet for summarising and testing knowledge of Newton's laws of motion.20/07/2017
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Newton's second law
Video explaining Newton's second law.20/07/2017
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Newton's third law activities
Discussion points for making sense of Newton's third law.20/07/2017
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Newton's third law of motion
Lesson ideas and practical activities for exploring Newton's third law.20/07/2017
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Newton's third law of motion
Examples and exercises20/07/2017
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Newton's third law of motion
Overview video.20/07/2017
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Normal distribution matching activity
A card sort activity where students match questions to graphs and solutions.20/07/2017
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Normal distribution question sheets
A set of contextual normal distribution questions with answers.20/07/2017
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Numerical Methods
Numerical methods exam questions and slides.19/07/2017
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Type(s): -
Numerical Methods
Brief notes and examples for location of roots, iterative procedures, cobweb diagrams and staircase diagrams.19/07/2017
E-library
Type(s): -
Numerical Methods
Fluency practice for the change of sign rule.19/07/2017
E-library
Type(s): -
Numerical methods notes
Notes on numerical methods.19/07/2017
E-library
Type(s): -
Numerical methods: finding roots
Interactive slides for finding roots.19/07/2017
E-library
Type(s): -
One windy day
Problem involving the trajectory of a ball.20/07/2017
E-library
Type(s): -
One windy day
Rich task about the trajectory of the ball.19/07/2017
E-library
Type(s): -
One windy day
Mechanics problem involving vector geometry and parametric equations.18/07/2017
E-library
Type(s): -
Optimisation
Activity on finding the optimal size of a baked bean can.19/07/2017
E-library
Type(s): -
Optimisation worksheet
Contextual optimisation questions.19/07/2017
E-library
Type(s): -
Order! Order!
Investigation into combined transformations.18/07/2017
E-library
Type(s): -
Ordinary differential equations
Notes including Newton’s law of cooling.19/07/2017
E-library
Type(s): -
Over the Moon
An exponential growth problem that can be solved using natural logs.19/07/2017
E-library
Type(s): -
Parametric and cartesian equations target board
Activity with levels of increasing difficulty.18/07/2017
E-library
Type(s): -
Parametric and implicit differentiation
Notes, examples and exercises for parametric and implicit differentiation.19/07/2017
E-library
Type(s): -
Parametric Equations
Slides and exercises for teaching parametric equations.18/07/2017
E-library
Type(s): -
Parametric functions lock game
Activity involving all aspects of working with parametric equations.18/07/2017
E-library
Type(s): -
Parametric paths
Rich task exploring parametric functions.18/07/2017
E-library
Type(s): -
Parametric points
A matching activity looking at stationary and critical points on parametric curves.19/07/2017
E-library
Type(s): -
Partial fraction codebreakers
Activities to practise partial fraction decomposition.19/07/2017
E-library
Type(s): -
Partial fractions
Slides and questions.18/07/2017
E-library
Type(s): -
Partial fractions
Notes and exercises on partial fractions.18/07/2017
E-library
Type(s): -
Partial Fractions Card Sort
Card sort to determine which method to use.18/07/2017
E-library
Type(s): -
Parts, substitution, recognition
A set of integration worksheets.19/07/2017
E-library
Type(s): -
Physical quantities and S1 units
A level physics presentation introducing quantities and units.20/07/2017
E-library
Type(s): -
Picture the process I
Sketch graphs for real life situations18/07/2017
E-library
Type(s): -
Picture the process II
Sketch graphs for real life situations.18/07/2017
E-library
Type(s): -
Position vectors
Video about position vectors.19/07/2017
E-library
Type(s): -
PowerPoints on moments
Key points summarised in two PowerPoints.20/07/2017
E-library
Type(s): -
Probability
Worksheet and matching activity.20/07/2017
E-library
Type(s): -
Product and quotient rule resources
Notes, examples and exercises for the chain rule.19/07/2017
E-library
Type(s): -
Projectile simulator activity sheet
Activity, with simulation, to explore a variety of questions regarding projectiles.20/07/2017
E-library
Type(s): -
Proof and reasoning
Proof notes and examples.18/07/2017
E-library
Type(s): -
Proof of the addition formula
Scaffolded worksheet allowing an accessible proof of the addition and double angle formulae.18/07/2017
E-library
Type(s): -
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