A level AS Mathematics Indices and Surds 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 Indices and Surds covers; Understanding and using the laws of indices for all rational exponents including fractional and negative powers Use and manipulate surds, including rationalising the denominator

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 Straight lines and inequalities covers; Understand and use the equation of a straight line, including the forms y-y₁=m(x-x₁) ax+by+c=0 Gradient conditions for two straight lines to be parallel or perpendicular. Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions. Express solutions through correct use of ‘and’ and ‘or’, through set notation. Represent linear and quadratic inequalities such as y>x+1 and y>ax²+bx+c graphically

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 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 Please leave a review as it will really help me to improve my resources Trigonometry Addition rule, Double angles, Harmonic form and Small angles covers; Understand and use double angle formulae Use of formulae for sin⁡(A ± B) , cos⁡(A ± B) and tan⁡(A ± B) Understand geometrical proofs of these formulae Understand and use expressions for a cos θ + b sin θ in the equivalent forms of rcos(θ±α) or rsin(θ±α) Understand and use the standard small angle approximations of sine, cosine and tangent * sin⁡θ≈θ * cos⁡θ≈1-θ^2/2 * tan⁡θ≈θ where θ is in radians Construct proofs involving trigonometric functions and identities

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 - Conditional probability covers; Understand and use conditional probability, including the use of tree diagrams, Venn diagrams, two-way tables Understand and use the conditional probability formula P(A│B)=P(A∩B)/P(B) Modelling with probability, including critiquing assumptions made and the likely effect of more realistic assumptions

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 Mechanics – Equilibrium, resolving, Statics, Dynamics covers; Understand and use Newton’s second law for motion in situations where forces need to be resolved (restricted to 2 dimensions) Resolving forces in 2 dimensions Equilibrium of a particle under coplanar forces Understand and use addition of forces Resultant forces Dynamics for motion in a plane Coefficient of friction Understand and use the F ≤ μR model for friction Motion of a body on a rough surface Limiting friction and statics

Vectors covers; Calculate and understand the properties of the vector product. Understand and use the equation of a straight line in the form (r-a)×b=0 Use vector products to find area of a triangle Understand and use the vector and Cartesian forms of the equation of a plane Express the equation of a plane in the form r.n=d Calculate the angle between two planes and the angle between a line and a plane Find the line of intersection of two planes or three planes Find the intersection of a line and a plane. Calculate the perpendicular distance from a point to a plane 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 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 Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first 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

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 – Normal distribution covers; Understand and use the Normal distribution as a model; find probabilities using the Normal distribution Link to histograms, mean, standard deviation, points of inflection and the binomial distribution Select an appropriate probability distribution for a context, with appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate

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 Radians and small angles covers; Work with radian measure, including use for arc length and area of sector Know and use exact values of sin and cos for and multiples thereof Know and use exact values of tan for and multiples thereof

Presentation that introduce surface area of 3D shapes including questions and answers. Also includes engineering drawings for students to calculate the volume and surface area.

Presentation that introduces radians and then shows how they are used to calculate arc lengths and sector areas complete with questions and answers. Engineering drawings allow the students to practice finding the area and perimeter of compound shapes that include sectors.

A selection of presentations and activities that show how to produce different types of engineering drawings including oblique, isometric and orthographic. It also covers borders, title blocks, dimensions and tolerances.

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 Graphs of functions and transformations covers; Understand and use graphs of functions Sketch curves defined by simple equations including polynomials. y=a/x and y=a/x² (including their vertical and horizontal asymptotes) Interpret algebraic solution of equations graphically Use intersection points of graphs to solve equations. Understand and use proportional relationships and their graphs. Understand the effect of simple transformations on the graph of y=f(x) including sketching associated graphs: * y=af(x) * y=f(x)+a * y=f(x+a) * y=f(ax)

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 ‘AS level maths 13 – Circles’ for free download Binomial Expansion covers; Understand and use the binomial expansion of (a+bx)^n for positive integer n the notations n! and nCr

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 Conic sections covers; Sketching graphs of curves with equations CONIC EQUATIONS including intercepts with axes and equations of asymptotes of hyperbolas. Single transformations of curves involving translations, stretches parallel to coordinate axes and reflections in the coordinate axes and the lines y= ±x.

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.