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Mathematics
The Order of an Algorithm
A brief 2-slide powerpoint illustrating the order of algorithms. For use in Decision Maths.
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.
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.
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.
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.
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.
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.
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.
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
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.
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.
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.
Further Pure Mathematics Vectors - Word version
A revision guide with each rule, expression and formula for Vectors. Originally developed for Further Pure 3 unit.
Further Pure Mathematics Vectors - pdf
A revision guide with each rule, expression and formula for Vectors. Originally developed for Further Pure 3 unit.
Simplex Algorithm instructions sheet
A single sheet clearly explaining each stage of the Simplex Algorithm.
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.
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.
Circle Theorem Revision Sheet - Word version
A one page sheet showing all of the circle theorems clearly to aid revision. For KS4.
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.