Matrices covers; Inverse and determinant of a 3x3 Matrix Plane geometry Find eigenvalues and eigenvectors of 2×2 and 3×3 matrices Find and use the characteristic equation. Understand the geometrical significance of eigenvalues and eigenvectors Diagonalisation of matrices Write a matrix in the form UDU^(-1) and understand Mⁿ=UDⁿ U^(-1) 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 ‘AS level maths 13 – Circles’ for free download Binomial distribution covers; Calculate probabilities using the binomial 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 Sequence and series covers; Understand and work with arithmetic sequences and series, including the formulae for nth term and the sum to n terms Understand and work with geometric sequences and series including the formulae for the nth term and the sum of a finite geometric series The sum to infinity of a convergent geometric series, including the use of |r|<1 Modulus notation Understand and use sigma notation for sums of series Use sequences and series in modelling Work with sequences including; * Those given by a formula for the nth term * Those generated by a simple relation of the form x_(n+1)= f(x_n ) * Increasing and decreasing sequences Periodic sequences

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

Improper Integrals covers; Identify why a given integral is improper Understand and clearly demonstrate the limiting processes involved, using correct notation Identify when and why an improper integral does not have a finite value Identify the point(s) where the integrand is undefined Evaluate improper integrals where the integrand is undefined at a value in between the limits of integration. 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

Maclaurin series and l’Hôpital’s rule covers; Find the Maclaurin series of a function including the general term Evaluation of limits using Maclaurin series or l Hopital rule The limits lim(x→∞)⁡(x^k e^(-x)) and lim(x→0)⁡(x^k lnx) where k>0, applied to improper integrals 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 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 Implicit differentiation covers; Differentiate simple functions and relations defined implicitly for first derivative only

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

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 Network Flow Augmentation Algorithm topics covers; Use flow augmentation from an initial flow to find a maximum flow through a network with only upper capacities State the maximum flow through a network in the context of the problem Find a flow pattern corresponding to the maximum flow through a network. Be able to use flow augmentation from an initial flow to find a maximum flow through a network with lower and upper capacities.

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 Parametric equations covers; Understand and use the parametric equations of curves and conversion between Cartesian and parametric forms Use parametric equations in modelling in a variety of contexts Differentiate simple functions and relations defined parametrically, for first derivative only Integrate using parametric equations

A selection of presentations that show the learners how to find the nth term and sum of the first n terms of both Arithmetic progressions and Geometric progressions. Complete with demonstrations of how the formulas are formed, worked examples and questions for the learners to solve, complete with answers. Also included is the sum to infinity for a geometric series again with examples and questions for learners. There is also a presentation on recurrence relationships and the use of sigma notation. 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 presentation showing learners how to use binomial expansion. The presentations starts with basic quadratic and cubics to allow the learners to spot the patterns it then moves onto harder questions such as finding coefficients. 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 presentation that show the learners how to solve differential equations by separating the variables. It also includes an activity that teaches the learners how to convert from worded questions into a differential equation. 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.

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.

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 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 ‘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