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.

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

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.

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 Kuratowski’s theorem topics covers; Use Kuratowski’s theorem to prove a graph is planar Use Kuratowski’s theorem to prove a graph is not planar Identify the complete graph K₅ Identify the complete bipartite graph K₃,₃ Understand what is meant by a subgraph Understand what is meant by a subdivision.

A presentation that shows learners the different graphs of the inverse and the reciprocal of trigonometric functions. Also shows examples of how these are used to solve trigonometric equations. 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 this free SMART resource.

These 19 questions cover a range of maths topics to demonstrate the multiple choice starter questions. Each question has 5 possible answers and is fully editable. Each page has a random button so easy to get a selection of questions that the learners can answer on mini whiteboards.

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; • Understand and use the structure of mathematical proof

This pack contains 4 questions that could be used at the start of the lesson. This is a free sample pack so they are a random set of questions. The other packs that go alongside this are in line with the attached scheme of work The other packs contain • Questions that 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 cover3 week 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.

Please leave a review of this free resource 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 to help me improve or add anything else that is needed Circles covers; Understand and use the coordinate geometry of the circle including using the equation of a circle in the form (x-a)^2 +(y-b)^2 =r^2 Completing the square to find the centre and radius of a circle; use of the following properties: The angle in a semicircle is a right angle The perpendicular from the centre to a chord bisects the chord The radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point.

This powerpoint show demonstrates how to complete the bubble sort algorithm. This is only a powerpoint show so it cant be edited

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 Matrix transformations covers; Use matrices to represent linear transformations in 2-D Successive transformations Single transformations in 3-D (3-D transformations confined to reflection in one of x=0, y=0, z=0 or rotation about one of the coordinate axes).

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 is the 2nd year of the A level maths course 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

This is the scheme of work for the full AS maths course These PowerPoints that are listed 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 Please leave a review as it will really help me to improve my resources Composite function covers; Understand and use composite functions

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 Mechanics – Moments covers; Understand and use derived quantities and units: moment Understand and use moments in simple static contexts

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 Partial fractions covers; Decompose rational functions into partial fractions (denominators not more complicated than squared linear terms and with no more than 3 terms, numerators constant or linear) Integrate using partial fractions that are linear in 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 Vectors covers; Use vectors in two dimensions Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations Understand and use position vectors Calculate the distance between two points represented by position vectors Use vectors to solve problems in pure mathematics and in context

Powerpoint that is used to show learners how to complete the bubble sort algorithm.

Powerpoint to show learners how to complete a shuttle sort