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Mathematics
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Travelling Salesman Problem -Lower Bound
The Powerpoint shows how to use the minimum spanning tree method to find a lower bound for the Travelling Salesman Problem. There is a video showing its use available at the address below:
https://youtu.be/VcugXirtWOo
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Incorrect Mathematical Proofs Posters
This is a collection of three posters, each containing an incorrect conclusion from a seemingly correct proof. I have used them as good starter activities with classes to get them thinking about how they prove concepts and how to find errors. The proofs included show that 1=2, 3=0 and 1+2+3+4+…=-1/12.
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Simplex Algorithm - Integer Solutions powerpoint
This powerpoint will go through the main points when dealing with an integer solution constrained simplex algorithm problem.
A video of the powerpoint in use can be found at the address below:
https://youtu.be/tsXlclDkzuA
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Integrating using different methods - 60 questions
This sheet simply presents 60 different expressions to be integrated. A variety of different methods must be used, such as integration by parts, trigonometric identities and so on, however the questions do not indicate which method must be used in each case.
The bundle includes a sheet of just questions, a sheet of just answers and a document including the questions, answers and worked solutions to each question.
I have found this very useful for students at the end of the A Level Maths course to get them to think about the different methods that they must use and what clues to look for in the questions.
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Surprising Maths Results Posters
This file is a collection of posters to be printed out and displayed in your room or around the Maths department. There are 32 posters, each being half an A4 sheet, with examples shown in the cover image photo. The posters cover a wide range of topics with suitable ideas for KS3, 4 and 5. There are numbers at the top of each poster, intended to encourage students to seek out others that they have not seen - we put 5 or so non-sequential posters in each teaching room.
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Decision Maths Algorithms, Glossaries and Video Links
This document provides a glossary for Decision Maths algorithms and ideas, with links to YouTube videos demonstrating how to perform those algorithms.
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Probability Distribution Approximations - Excel
A spreadsheet that graphically represents the approximations from Binomial to Poisson and Binomial to Normal Distributions, allowing you to input different values of the various parameters to see how it affects the approximation.
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Large Data Set Quiz - Edexcel A Level Maths
This is a quiz, split into three rounds, on the Large Data Set from Edexcel for the A Level Mathematics course.
The 3 rounds are:
• Round 1 = Locations.
Questions ensure that students know which locations are covered by the large data set and where these locations are found.
• Round 2 = Variables.
Which variables are given for each of the different locations?
• Round 3 = Units and Data
Which units are used for each of the variables and some specific questions on some anomalies in the weather or data?
The quiz is presented in a variety of formats to allow for different methods of delivery to a class:
• Just The Questions
Suitable for administering the quiz in a test format. One file has all rounds in it, and there are three separate files for individual rounds.
• PowerPoints
Two versions of each round have been provided. One where each question is given followed immediately by the answer, and one where all answers are saved until the end of the PowerPoint.
• Answer Sheets
These can be used alongside the PowerPoints, or if the test is being delivered orally.
• Questions And Answers
All questions and answers provided together, either on multiple sheets, or all on one sheet.
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Nearest Neighbour Upper Bound for Travelling Salesman Problem
This PowerPoint will guide you through the process of finding an upper bound for the Travelling Salesman Problem using the Nearest Neighbour method. This was created with the Edexcel A Level Further Maths course in mind, but it should be suitable for others too.
There is a video of the powerpoint in use at the link below:
https://youtu.be/ojjnd5gEMuk
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Simplex Algorithm - Two-Stage Method powerpoint
The powerpoint will work through an example of using the two-stage method for solving simplex algorithm problems.
A video of the powerpoint being used can be found at the address below:
https://youtu.be/SLwAUYvSfZI
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Maths quotes and inspirational posters
This is a collection of 15 posters containing quotes from a variety of mathematicians and other notable people, concerning Mathematics and inspirational things to think about success and failure. A useful addition to any classroom.
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Floyd's Algorithm
A PowerPoint demonstrating how to use Floyd’s Algorithm for the Decision Maths course. There is a video demonstrating the use of the powerpoint available at the address below:
https://youtu.be/3wmsXtSUm8Y
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Dijkstra's Algorithm
A PowerPoint demonstrating the use of Dijkstra’s Algorithm. A video showing the use of the presentation can be found at the address below:
https://youtu.be/tgp9I_K_WqU
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Finding A Critical Path On An Activity Network PPT
This powerpoint presentation will go through an example of how to find the critical path on an activity network, demonstrating the earliest and latest event times, and the float.
There is a video of the resource being used at the address below:
https://youtu.be/XqVdHW9-0DE
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25 Challenging Maths Puzzles for KS3, 4 and 5
This document contains 25 different Maths puzzles, with answers, that provide good challenges to students of all levels. All are accessible to the weakest students, but challenging to even the highest performers. I regularly use them as fillers, homeworks and conversation starters.
Bundle
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Travelling Salesman Problem Bounds PowerPoints Bundle
A collection of all three powerpoints for finding bounds on the Travelling Salesman problem, as used in the Further Maths A Level course. Videos of their use are available on each individual resource page.
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The Simplex Algorithm - PowerPoint
This PowerPoint will guide you through the application of The Simplex Algorithm, as featured in the Edexcel Further Maths Decision course. The PowerPoint covers both Maximising and Minimising problems.
There is a video demonstrating the use of this PowerPoint available at the link below:
https://youtu.be/t0NkCDigq88
Bundle
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Simplex Algorithm and Variants PowerPoints Bundle
PowerPoint presentations on the Simplex Algorithm, including integer solutions, the Two Stage Method and the Big M Method. Also includes a one sheet version of the algorithm. Videos of all powerpoints included are on the specific resource pages.
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Skills Progress Assessments
This series of assessments is intended to be taken at the start of every term from Year 7 to Year 11. Each assessment tests purely the mathematical skills of the students and tracks their progress over the years via the included spreadsheet. Almost every question is provided without context so that the skills are at the forefront of the assessments.
To use the spreadsheet, enter the names of the students in the first sheet. This will then populate throughout the rest of the sheets. For each test, simply put the score for each question for each student, and everything else is then calculated automatically. The last sheet on the spreadsheet, “Progress Sheet” can then be printed out and given to the students so that they can directly see their progress for each skill. Numerical links to Hegarty Maths tasks are also given.
When printing out sheets for the students, note that it will only print out the results for one student at a time, but it will just give them the coloured progress section. When discussing their work, we don’t make any reference to total mark, or what it is out of as we prefer to just focus on their progress with the skills rather than the students just focusing on their total mark.
Should you wish to make any changes to the spreadsheet, the password is “mouse”.