These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘AS level maths 13 – Circles’ for free download Binomial hypothesis testing covers; Understand and apply the language of statistical hypothesis testing, developed through a binomial model: null hypothesis, alternative hypothesis, significance level, test statistic, 1-tail test, 2-tail test, critical value, critical region, acceptance region, p-value Conduct a statistical hypothesis test for the proportion in the binomial distribution and interpret the results in context Understand that a sample is being used to make an inference about the population and appreciate that the significance level is the probability of incorrectly rejecting the null hypothesis

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘AS level maths 13 – Circles’ for free download Vectors covers; Use vectors in two dimensions Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations Understand and use position vectors Calculate the distance between two points represented by position vectors Use vectors to solve problems in pure mathematics and in context, including forces

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; A complete set of notes for students Model examples Probing questions to test understanding Class questions including answers Individual whiteboard work Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘AS level maths 13 – Circles’ for free download Exponential functions and logarithms covers; Know and use the function a^x and its graph, where a is positive Know and use the function e^x and its graph Know that the gradient of e^kx is equal to ke^kx and hence understand why the exponential model is suitable in many applications Know and use the definition of logax as the inverse of a^x where a is positive and x≥0 Know and use the function ln x and its graph Know and use ln x as the inverse function of e^x Understand and use the laws of logarithms Solve equations of the form a^x=b Use logarithmic graphs to estimate parameters in relationships of the form y=ax^n and y=kb^x , given data for x and y Understand and use exponential growth and decay Use in modelling (examples may include the use of e in continuous compound interest, radioactive decay, drug concentration decay, exponential growth as a model for population growth) Consideration of limitations and refinements of exponential models

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘A2 level maths 13 - Composite functions’ for free download Please leave a review as it will really help me to improve my resources Implicit differentiation covers; Differentiate simple functions and relations defined implicitly for first derivative only

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; A complete set of notes for students Model examples Probing questions to test understanding Class questions including answers Individual whiteboard work Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘AS level maths 13 – Circles’ for free download Differentiation covers; Understand and use the derivative of f(x) as the gradient of the tangent to the graph of y=f(x) at a general point (x,y) including; the gradient of a tangent as a limit; interpretation as a rate of change; sketching the gradient function for a given curve differentiation from first principles for small positive integer powers of n Differentiate x^n , for rational values of n , and related constant multiples, sums and differences Second derivative including understanding and using it as the rate of change of gradient Apply differentiation to find gradients, tangents and normals, maxima and minima and stationary points. Identify where functions are increasing or decreasing.

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; A complete set of notes for students Model examples Probing questions to test understanding Class questions including answers Individual whiteboard work Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘A2 level maths 13 - Composite functions’ for free download Please leave a review as it will really help me to improve my resources Differentiation of trigonometric and exponential functions and points of inflection covers; Understand and use the derivative of sin⁡x and cos⁡x The second derivative and its connection to convex and concave sections of curves and points of inflection Differentiate e^kx, a^kx , sin⁡kx , cos⁡kx , tan⁡kx and related sums, differences and constant multiples Understand and use the derivative of ln⁡x Apply differentiation to find points of inflection

These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include; A complete set of notes for students Model examples Probing questions to test understanding Class questions including answers Individual whiteboard work Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources Statistics – Discrete random variables and expectation covers; Understand DRVs with distributions given in the form of a table or function Evaluate probabilities for a DRV Evaluate measures of average and spread for a DRV to include mean, variance, standard deviation, mode or median Understand expectation and know the formulae: * E(X)=∑x p * E(X^2 )=∑^2 p * Var(X)=E(X^2)-E(X)^2 Understand expectation of linear functions of DRVs and know the formulae: * E(aX+b)=aE(X)+b * Var(aX+b)=a^2 Var(X) Know the discrete uniform distribution defined on the set {1, 2, …, n}. Understand when this distribution can be used as a model. Proof of mean and variance of discrete uniform distribution.

These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include; A complete set of notes for students Model examples Probing questions to test understanding Class questions including answers Individual whiteboard work Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources Argand diagrams and complex roots covers; Construct and interpret simple loci in the Argand diagram such as |z-a|>r and arg⁡(z-a)=θ Know that non-real roots of polynomial equations with real coefficients occur in conjugate pairs. Solve any quadratic equation with real coefficients Solve cubic or quartic equations with real coefficients given sufficient information to deduce at least one root for cubics or at least one complex root or quadratic factor for quartics

28 questions that covers 2D and 3D coordinates and midpoints. Each question has 5 possible answers and is fully editable. Each page has a random button so easy to get a selection of questions that the learners can answer on mini whiteboards. I have free example to download with a selection of different questions.

These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources Game theory for zero sum games covers; Understand, interpret and construct pay-off matrices Find play-safe strategies and the value of the game Prove the existence or non-existence of a stable solution Identify and make use of dominated strategies Find optimal mixed strategies for a game including use of graphical methods

These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources Statistics – Confidence intervals covers; Construct symmetric confidence intervals for the mean of a normal distribution with known variance Construct symmetric confidence intervals from large samples, of the mean of a normal distribution with unknown variance

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘AS level maths 13 – Circles’ for free download Please leave a review to help me improve or add anything else that is needed Quadratics covers; Using the discriminant of a quadratic function, including the conditions for real and repeated roots Completing the square Solution of quadratic equations including solving quadratic equations in a function of the unknown. Graphs of quadratics

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘A2 level maths 13 - Composite functions’ for free download Please leave a review as it will really help me to improve my resources Differential Equations covers; Evaluate simple first order differential equations with separable variables Construct simple differential equations in pure mathematics and in context

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson I have added ‘A2 level maths 13 - Composite functions’ for free download Please leave a review as it will really help me to improve my resources Implicit differentiation covers; • Understand and use the structure of mathematical proof

A presentation that shows learners the different graphs of the inverse and the reciprocal of trigonometric functions. Also shows examples of how these are used to solve trigonometric equations. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try this free SMART resource.