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

Simple Harmonic Motion Hookes Law Damping covers; Solve the equation for simple harmonic motion x ̈=-ω²x and relate the solution to the motion. Note and learn formulae associated with SHM. Use of Hooke’s Law with T=kx to formulate a differential equation for simple harmonic motion, where k is a constant. Model damped oscillations using 2nd order differential equations and interpret their solutions. Use models for damped motion where damping force is proportional to the velocity. 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 ‘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 ‘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 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 Mean value of a function covers; Understand and evaluate the mean value of a function

Cubic and quartic inequalities covers; Inequalities involving polynomial equations (cubic and quartic) Understand how to manipulate inequalities correctly Consider critical values and give solution sets using correct interval or set notation Use a calculator find numerical solutions. 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

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 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 Linear Relationships covers; Use logarithmic graphs to estimate parameters in relationships of the form 〖y=ax〗^n and 〖y=kb〗^x , given data for x and y

Summations and Method of Differences covers; Understand and use formulae for the sums of integers, squares and cubes and use these to sum other series. Understand and use the method of differences for summation of series 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

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 Isomorphism between Graphs topics covers; Recognise two graphs as being isomorphic if there is a one-to-one relationship between the vertices of the two graphs based on, for instance, vertex degrees and adjacency matrices State the isomorphism between two isomorphic graphs using vertex labels Identify a graph that is isomorphic to a given graph.

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 Gantt Charts and Resource Histograms topics covers; Construct a Gantt chart by drawing each activity on its own horizontal line, including showing the float of non-critical activities Interpret a Gantt chart Construct and interpret resource histograms, where the vertical axis represents the resource and the horizontal axis represents the time.

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

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.

Topics covers; Understand and use the formula for a polar curve defined as r = f(θ) for α ≤ θ ≤ β Use symmetry to simplify the evaluation of areas Find composite areas. 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

This pack contains 12 questions that could be used at the start of the lesson. • They cover a mixture of topics that are taught in all A level maths syllabuses. • They are designed to take about 5 to 10 minutes and all the questions have a full set of answers. • There is enough questions to cover 3 weeks worth of 4 lessons a week. • The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.

This pack contains 12 questions that could be used at the start of the lesson. • They cover a mixture of topics that are taught in all A level maths syllabuses. • They are designed to take about 5 to 10 minutes and all the questions have a full set of answers. • There is enough questions to cover 3 weeks worth of 4 lessons a week. • The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.

This pack contains 12 questions that could be used at the start of the lesson. • They cover a mixture of topics that are taught in all A level maths syllabuses. • They are designed to take about 5 to 10 minutes and all the questions have a full set of answers. • There is enough questions to cover 3 weeks worth of 4 lessons a week. • The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.

This pack contains 12 questions that could be used at the start of the lesson. • They cover a mixture of topics that are taught in all A level maths syllabuses. • They are designed to take about 5 to 10 minutes and all the questions have a full set of answers. • There is enough questions to cover 3 weeks worth of 4 lessons a week. • The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.

This pack contains 12 questions that could be used at the start of the lesson. • They cover a mixture of topics that are taught in all A level maths syllabuses. • They are designed to take about 5 to 10 minutes and all the questions have a full set of answers. • There is enough questions to cover 3 weeks worth of 4 lessons a week. • The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.

This pack contains 12 questions that could be used at the start of the lesson. • They cover a mixture of topics that are taught in all A level maths syllabuses. • They are designed to take about 5 to 10 minutes and all the questions have a full set of answers. • There is enough questions to cover 3 weeks worth of 4 lessons a week. • The questions are mapped in line with the scheme of work, that is added as part of this pack, and this means that no questions will come up on topics that have not been taught yet.