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PowerPoint resources for GCSE and A Level Further Maths

PowerPoint resources for GCSE and A Level Further Maths
GCSE transformations
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GCSE transformations

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Step-by-step instructions on how to perform or describe translations, reflections, rotations and enlargements, together with discussion of invariant points and lines. Suitable for GCSE.
Proof by induction
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Proof by induction

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Powerpoint lesson to show how prove by Mathematical Induction for: algebraic results matrix results divisibility results as part of Edexcel A and AS Level Further Maths Core 1 module **UPDATED to include series notation Un type
GCSE vectors - the complete course
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GCSE vectors - the complete course

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Strep by step instructions on vectors, including worked examples up to the top grades. Ideal for teaching, or for use as personal student revision. if you find this resource useful, please leave a review
Circle Theorems
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Circle Theorems

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Full GCSE and iGCSE coverage of circle theorems, with worked examples, proofs, helpful tips and summary sheets. Ideal for revision or teaching purposes. Step by step guidance - you control the speed, allowing time to process the information. *** if you find it useful, please give it a review!***
Graphs & Networks
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Graphs & Networks

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Graphs & Networks. Primarily written for Edexcel but suitable for OCR specifications. Complete, definitions for all aspects of Graphs & Networks. Step-by-step approach which can be used for teaching and for students to use as revision at their own pace. Includes a handy summary to aid learning. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Kruskal's Minimum Spanning Tree
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Kruskal's Minimum Spanning Tree

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Kruskal’s Minimum Spanning Tree Algorithm. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach, for teaching and for students to use as revision at their own pace. Includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Prim's Minimum Spanning Tree Algorithm
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Prim's Minimum Spanning Tree Algorithm

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Prim’s Minimum Spanning Tree Algorithm. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach, suitable for teaching or for students to use as revision at their own pace. Includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Decision/Discrete Maths: Algorithms
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Decision/Discrete Maths: Algorithms

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Algorithms. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Bin-packing Algorithm
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Bin-packing Algorithm

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Bin-packing Algorithm. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with A Level standard examples. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Calculus: Leibnitz, L'Hopital & Weierstrass
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Calculus: Leibnitz, L'Hopital & Weierstrass

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This PowerPoint links to Edexcel Further Maths A Level module FP1 (Further Pure 1), chapter 7 Leibnitz’s theorem provides a method for repeated differentiation of products L’Hopital’s Rule (sometimes called L’Hospital’s Rule) shows how to find limits of certain types of indeterminate quotients The Weierstrass substitution is useful for simplifying certain trigonometric integrals (particulalry quotients) by changing them to algebraic integrals Adhering closely to the structure of the textbook (but with some new examples), the PowerPoint provides a visual presentation which many students find helpful as a learning tool or like to replay as part of their revision. I have successfully used this and other similar presentations to deliver several topics from GCSE to A Level Further Maths.
Planarity Algorithm
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Planarity Algorithm

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Algorithms. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Simplex Algorithm (Big M method)
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Simplex Algorithm (Big M method)

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PowerPoint to teach A Level Further Maths Decision/Discrete Maths Option: the Big M method for the Simplex Algorithm. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Linear Programming
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Linear Programming

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Linear Programming. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Dijkstra's Shortest Path Algorithm
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Dijkstra's Shortest Path Algorithm

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Dijkstra’s Algorithm. Primarily written for Edexcel but suitable for for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Simplex (two-stage) - artificial variables
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Simplex (two-stage) - artificial variables

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PowerPoint to teach A Level Further Maths Decision/Discrete Maths Option: Two-Stage Simplex Algorithm (artificial variables). Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Critical Path Analysis & GANTT charts
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Critical Path Analysis & GANTT charts

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Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Critical Path Analysis. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard, including the use of precedence tables, GANTT charts, scheduling and resource histograms. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022
Simplex Algorithm
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Simplex Algorithm

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PowerPoint to teach A Level Further Maths Decision/Discrete Maths Option: Simplex Algorithm (Edexcel Tableau). Additional PowerPoints are available for problems involving artificial variables and the Big M method. Primarily written for Edexcel but suitable for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022