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 Inverse and reciprocal trigonometric functions covers; Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan Understand their relationships to sine, cosine and tangent Understand and use; * sec^2 θ = 1 + tan^2 θ * cosec^2 θ = 1 + cot^2 θ

A large selection of presentations and activities that show the learners how to sketch rational functions. It includes intercepts, asymptotes and also looks at substituting small and large values of x so students can collect all the data needed to sketch the graphs. Also includes finding the min/max point on a graph without using calculus 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 it with my free SMART resource.

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 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 Statistics – Hypothesis tests for Normal and Bivariant data covers; Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context Understand and apply correlation coefficients as measures of how close data points lie to a straight line and be able to interpret a given correlation coefficient using a given p-value or critical value

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 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 Trigonometry covers; Understand and use the definitions of sine, cosine and tangent for all arguments The sine and cosine rules The area of a triangle in the form (1/2) ab sin⁡C Understand and use the sine, cosine and tangent functions Their graphs, symmetries and periodicity

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 Integration covers; Integrate e^kx , 1/x , sin⁡kx , cos⁡kx and related sums, differences and constant multiples Use a definite integral to find the area between two curves Understand and use integration as the limit of a sum Carry out simple cases of integration by substitution and integration by parts Understand these methods as the inverse processes of the chain and product rules respectively

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 – Chi tests for association covers; Construction of m×n contingency tables Use of ∑(O-E)²/E as an approximate χ² statistic with appropriate degrees of freedom Know and use the convention that all Ei should be greater than 5 Identification of sources of association in the context of a question

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 Scatter graphs covers; Interpret scatter diagrams and regression lines for bivariate data, including recognition of scatter diagrams which include distinct sections of the population (calculations involving regression lines are excluded) Understand informal interpretation of correlation Understand that correlation does not imply causation Recognise and interpret possible outliers in data sets and statistical diagrams Select or critique data presentation techniques in the context of a statistical problem Be able to clean data, including dealing with missing data, errors and outliers

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 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 Trigonometry equations and identities covers; Understand and use tanθ=sinθ/cosθ Understand and use sin²θ+cos²θ=1 Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle

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 Hyperbolic functions covers; Understand the definitions of hyperbolic functions sinhx, coshx and tanhx and be able to sketch their graphs Understand and be able to use the definitions of the inverse hyperbolic functions Derive and use the logarithmic forms of the inverse hyperbolic functions Understand and use tanhx=sinhx/coshx Understand and use cosh^2 x-sinh^2 x=1

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 Integration covers; Know and use the Fundamental Theorem of Calculus Integrate xⁿ (excluding x=-1), and related sums, differences and constant multiples Evaluate definite integrals Use a definite integral to find the area under a curve

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 ‘AS level maths 13 – Circles’ for free download Please leave a review to help me improve or add anything else that is needed Factor theorem, Algebraic division and simultaneous equations covers; Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division Use of the factor theorem and remainder theorem Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.

Powerpoint and Notebook presentations that introduces the equation of a circle from the complete square form. It moves onto plotting circles and finding the equation from a plot to tangents and normal using the radius. It also covers intersection of a line and a circle. 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 it with my free SMART resource.

Simplex Algorithm topics covers; Identify when the simplex algorithm should be applied (ie for situations that have three or more basic variables) Introduce and use slack variables to convert inequalities into equalities (only less than or equal to inequalities will be used during assessment) Use the simplex algorithm to maximise an objective function subject to linear constraints Use the simplex algorithm to minimise an objective function P by maximising the objective function Q = –P understand and use the stopping condition for the simplex algorithm (ie the objective row being non-negative) Find the optimal value of the objective function from a simplex tableau Identify any basic or slack variables that have zero values Find the values of any basic or slack variables that have non-zero values Interpret a Simplex tableau at any stage of the algorithm. Convert higher order games to linear programming problems and solve using the Simplex algorithm These PowerPoints form full lessons of work that together cover the full A 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 Hodder ed’ 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 Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first Please leave a review as it will really help me to improve my resources

A large selection of resources that covers all straight line work. Starting with the basic gradient and intercept work and then moves on to parallel, perpendicular and intersection points. 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 it with my free SMART resource.

A large selection of presentations that introduce calculus using the quadratic graph. They cover everything from sketching quadratic graphs to using differentiation to find the min/max points. The presentations also cover equation of tangent and normal and using the second derivative to find the nature of a stationary point. 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 it with my free SMART resource.