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

PowerPoints to teach the full A Level Further Maths Decision/Discrete Maths course (Edexcel) Primarily written for Edexcel but suitable for much of the OCR specifications. The set of 16 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students.] “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 16 PowerPoints consists of: 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

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) Recurrence Relations The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

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

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. This PowerPoint teaches the Hungarian Allocation Algorithm Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Route Inspection 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

Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Travelling Salesperson 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. Includes Tour Improvement Algorithm for OCR. 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

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) Transportation Algorithm The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) Flows 1 The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) Dynamic Programming The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) Game Theory The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

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

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

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

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

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

PowerPoints to teach the full A Level Further Maths Decision Maths D2 course (Edexcel) Flows 2 The set of 8 PowerPoints contains complete, step-by-step instructions and A Level standard examples. These may be used for both teaching and for student revision. Decision Maths is a module that lends itself to PowerPoint instruction – networks grow and develop as information is added, and these PowerPoints model this in real time. Having developed these as a teaching resource, I find the course can be taught in a substantially reduced time, leaving more time for consolidation and practice or for teaching other FM options. My students take no notes in class but, once taught, use the PowerPoints as reminders and revision as they practise. Most PowerPoints contain a handy flowchart for in-class prompts or for private revision. When used under the previous, modular, A Level specification, this module was consistently the highest-scoring module for my students. “S”, year 12, says: “I find these PowerPoints really visual – I can see what is happening. It makes the process of learning much quicker and easier to understand, and I like the fact that I can always go back and replay the lessons, which is helpful. I find them very useful for revision.” The full set of 8 PowerPoints consists of: Decision Analysis Dynamic programming Flows 1 Flows 2 Game Theory Hungarian Allocation Algorithm Recurrence Relations Transportation Algorithm Updated 2022

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!***

This GCSE resource helps students consider approaches to factorising quadratic expressions where the coefficient of x^2 is greater than 1