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 Probability covers; Understand and use mutually exclusive and independent events when calculating probabilities Link to discrete and continuous distributions

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 Forces and Newtons laws covers; Understand the concept of a force; understand and use Newton’s first law Understand and use Newton’s second law for motion in a straight line Understand and use weight and motion in a straight line under gravity Gravitational acceleration, g, and its value in S.I. units to varying degrees of accuracy Understand and use Newton’s third law Equilibrium of forces on a particle and motion in a straight line Application to problems involving smooth pulleys and connected particles

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 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 Trapezium rule covers; Understand and use numerical integration of functions, including the use of the trapezium rule and estimating the approximate area under a curve and limits that it must lie between

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

Binomial expansion covers; Extend the binomial theorem to any rational n , including its use for approximation Be aware that the expansion is valid for |bx/a|<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

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.

2 Games that can be used as starters, team games etc. All you need to do is click on any of the 12 numbers that the students can choose from. A question will come up for the students to answer and then you can click on a team colour if they answer it correctly.

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

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 ‘AS level maths 13 – Circles’ for free download Kinematics covers; Understand and use fundamental quantities and units in the S.I. system: length, time, mass Understand and use derived quantities and units: velocity, acceleration, force, weight Understand and use the language of kinematics: position; displacement; distance travelled; velocity; speed; acceleration Understand, use and interpret graphs in kinematics for motion in a straight line Displacement against time and interpretation of gradient velocity against time and interpretation of gradient and area under the graph Understand, use and derive the formulae for constant acceleration for motion in a straight line Use calculus in kinematics for motion in a straight line