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ReallyUsefulMaths

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The Resources within this shop are all designed for the teaching of Mathematics for those in the age range 7 - 18 years old. Most resources consist of a PowerPoint lesson followed by a worksheet for the students. With over twenty nine years of experience, the powerpoint/worksheets within the shop have been used successfully by myself and colleagues over that time. As a head of department for over 15 years, the department has yearly been judged as adding substantial value to students grades.

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The Resources within this shop are all designed for the teaching of Mathematics for those in the age range 7 - 18 years old. Most resources consist of a PowerPoint lesson followed by a worksheet for the students. With over twenty nine years of experience, the powerpoint/worksheets within the shop have been used successfully by myself and colleagues over that time. As a head of department for over 15 years, the department has yearly been judged as adding substantial value to students grades.
Complex Numbers
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Complex Numbers

4 Resources
A group of lessons which cover the contents required to cover complex numbers for most A level courses.
Functions
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Functions

4 Resources
The bundle covers the function work on the new GCSE. Looking at composite functions, inverse functions and transformations of graphs.
Iterative Formulae
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Iterative Formulae

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This lesson teachers students about the iterative formula. The ability to identify why there is a root between two points. The ability to generate an iterative formula. The presentation also demonstrates that not all iterative formulae work. The lesson follows with a worksheet for the students to attempt either in class or as a piece of homework. Answers are included.
Probability: Rules of
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Probability: Rules of

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This lesson makes use of the Venn diagram and introduces students to the probability of A union B and A intersection B. The students then make use of these formulae in other examples.
Transformations: Enlargements with a negative scale factor
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Transformations: Enlargements with a negative scale factor

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This lesson teaches students how to deal with enlargements involving negative sale factors. The lesson consists of several worked examples followed by a worksheet for students to answer either in class or as a piece of homework. Answers are included.
Handling Data Graph work
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Handling Data Graph work

7 Resources
This set of resources looks at representing quantitive and qualitative data in their various forms.
Direct & Inverse Proportion Revision
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Direct & Inverse Proportion Revision

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This revision lesson looks at the ability to answer a variety of questions related to direct or inverse proportion. As with the other revision lessons in the shop, the lesson is constructed with multiples of two worked examples before students attempt some similar questions. Answers are provided.
Mathematics Worksheet generator
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Mathematics Worksheet generator

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This spreadsheet is set up to produce nine questions for students to answer on a variety of foundation topics. The spreadsheet also generates the answers. To generate a new list simply alter week 1 for week 2 etc and a new sheet is generated. That is the numbers are replaced or a different algebraic expression is generated. The topics on this sheet include: Dividing into a given ratio Multiplying fractions together nth term of a linear sequence collection of like terms solving simple equations decimal conversions metric conversions decimal multiplication
Fractions of a quantity
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Fractions of a quantity

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This lesson was used with a Key stage 3 class. we worked through each example using the calculators this time. Another lesson available in the shop addresses finding the fraction of a quantity without a calculator. The class then complete the worksheet in class or as a piece of homework.
Percentages
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Percentages

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This spreadsheet will generate infinite worksheets for percentage questions. The spreadsheet will also provide the answers. Once the sheet is generated print the sheet and print the answers. Then change the worksheet number to 2 or 3, extra and watch a completely new worksheet get generated. Alternatively the spreadsheet can be projected onto the board and students answer from the board. Then at an appropriate time the answers can be shown by changing the column hiding the answers back to black font.
Dividing into a given ratio GCSE revision
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Dividing into a given ratio GCSE revision

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Here are two revision lessons I have used throughout the year with foundation students. The lessons consist of worked examples followed by questions for the students to answer. The PowerPoint is broken down so that any foundation student can access the material.
Transformations of graphs Introduction
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Transformations of graphs Introduction

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These two lessons and worksheets are lessons which cover the translations of graphs and the knowledge of stretching a graph by a given scale factor. The lesson is aimed at the students working out the translation which takes place by initially drawing certain graphs and then linking them the original graph drawn. This is then followed by a series of examples. The second lesson is similar in that the students are encouraged to draw a series of graphs before linking them to the original as a stretch. The lesson then continues with a series of worked examples. Both lessons have a worksheet with solutions.
GCSE Mathematics : Revision End of Term Games
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GCSE Mathematics : Revision End of Term Games

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This activities are aimed at key stage 3 students but could be used as revision for students who are revising for their GCSE examination. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table. Students are put into pairs (either by choice or teacher selection) and are given a copy of slide 14 and a few sheets of pieces of A4 paper. The pairs are designated a starting table and the timer (slide 2) is started. The students are then given 5 minutes to answer the four questions on that table. Once the five minutes is up the students move clockwise to the next table and start the next set of four questions and the timer of slide 3 is started. This continues until all students have completed the six tables worth of questions. The answering of the questions takes no more than 30 minutes. Students then remain at their final table, swap their answer sheet with the nearest table and the answers are produced. At this stage I go through the questions before revealing the answers. In this way the students have had a go at GCSE style foundation questions and have also seen a demonstration as to how they should have been answered. Finally, students add up their score and the highest score get a prize!
Algebra : Collection of like terms, Simplifying expressions and Substitution
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Algebra : Collection of like terms, Simplifying expressions and Substitution

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This bundle of work consists of three lessons with worksheets. Lesson one : Collection of like terms. This lesson and two worksheets covers the ability to collect like terms when simplifying a series of terms. Lesson two : Simplifying expressions This lesson and two worksheets looks at multiplying terms together where algebra is involved. (At the same time revising the knowledge of - x - or - x +, etc) Lesson three : Substitution into formulae This lesson and two worksheets covers the ability to substitute numerical values into simple algebraic expressions Two worksheets have been given per lesson so that if the class has an issue with the first worksheet, then a review of the work can take place with the follow up worksheet used to demonstrate improvement. These lessons are suitable as an introduction to Algebra or for the younger students who have little knowledge in Algebra.
Circle Theorem: Angles in a cyclic quadrilateral
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Circle Theorem: Angles in a cyclic quadrilateral

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This lesson follows lessons on the circle theorems involving angles from the same arc, angle at the centre and angles in a semicircle. The lesson has a series of worked examples followed by a worksheet which can be used in class or as a piece of homework.