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Mathematics
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.
Circle Theorems Revision Sheet - Publisher version
This sheet is for KS4 revision purposes and contains all of the circle theorems on a single page, clearly presented.
The Greek Alphabet - large
Upper and lower case forms for all letters of the Greek alphabet, with their names. I find this useful to have up in Maths classrooms, but obviously can be used for languages or any other suitable subject. This is scaled to fit with two letters per A4 page and is 12 pages in length.
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.
Circle Theorem Revision Sheet - Word version
A one page sheet showing all of the circle theorems clearly to aid revision. For KS4.
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.
Big M Method for Simplex Algorithm (PowerPoint)
This PowerPoint will guide you through an example of using the Big M Method for solving simplex algorithm problems with “greater than or equals to” constraints.
There is a video of the PowerPoint being used available at the link below.
https://youtu.be/grGWsUHdWQM
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
Kruskal's Algorithm PowerPoint
A presentation showing how to use Kruskal’s Algorithm. A video demonstrating the use of the presentation can be found at the address below:
https://youtu.be/Mrb61iGXUFk
The Planarity Algorithm
A PowerPoint demonstrating how to use the Planarity Algorithm for Decision Maths. A video of the presentation being used can be found at the address below:
https://youtu.be/nXGtrrq23z0
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.
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.
The Greek Alphabet - small
Upper and lower case forms for all letters of the Greek alphabet, with their names. I find this useful to have up in Maths classrooms, but obviously can be used for languages or any other suitable subject. This is scaled to fit on three A4 sheets.
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.
Small Angle Approximations for Trigonometry
A spreadsheet that allows you to select the trigonometric function that you need (cell F1), and then a graph is automatically generated to show you the value of theta compared to the trig approximation, also calculating % error
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.
Front Side Plan View activity, with answers
A simple activity where the student is presented with the front side and plan elevations of a block-based shape, which they must create. This has proved to be quite challenging for many students and some of the shapes are demanding for even the most able.
Trapezium Rule calculation spreadsheet
A simple to use spreadsheet that will calculate all values and the total area for two specific quadratic equations, using the Trapezium Rule, for up to 254 strips.
The Order of an Algorithm
A brief 2-slide powerpoint illustrating the order of algorithms. For use in Decision Maths.
Decision Maths 1 Algorithms Videos
This sheet gives links to videos on all 14 of the algorithms that are required for the Edexcel Decision Maths 1 module. Each video gives a demonstration of an individual algorithm, and can be shared with students as a revision resource or used as part of a teaching lesson. Each video can obviously be paused whilst the students work out what is coming next, or rewound to hear an explanation again.
The algorithms are:
Full Bin, First Fit, First Fit Decreasing, Bubble Sort, Quick Sort, Binary Search, Kruskal's, Prim's, Prim's - Matrix Method, Dijkstra's, Route Inspection, Maximum Matching, Finding Critical Paths and the Scheduling Procedure.