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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.
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.
Angles in a Polygon Revision lesson
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Angles in a Polygon Revision lesson

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This lesson is designed for my Key stage 4 classes. Through a series of worked examples the class revise how to find the number of sides for a regular polygon or the size of interior and exterior angles. Plus further problems. The lesson also contains a worksheet with solutions.
GCSE Higher level Mathematics revision game
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GCSE Higher level Mathematics revision game

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GCSE Higher level Mathematics run around game This activity is aimed at Higher level 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. (For a higher level set this may need printing more than once) 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 Higher level 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!
Algebraic Long Division
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Algebraic Long Division

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This lesson introduces students to long division for algebraic fractions. I usually teach this lesson before the lessons on factor and remainder theorem.
The Definite integral
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The Definite integral

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Following on from the lesson on indefinite integral. This lesson looks at the limits attached to a given integral.
The indefinite integral
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The indefinite integral

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This lesson follows the lessons taught on differentiation. The opening slide introduces integration as the reverse of differentiation. Then through a variety of examples students get used to integration.
GCSE 9-1 : Maths Assessment revision Bundle
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GCSE 9-1 : Maths Assessment revision Bundle

4 Resources
A total of six GCSE Mathematics examination papers and solutions. Three foundation papers Three Higher papers with overlap from the foundation. Making it easier to assess movements between sets. The bundle also includes a spreadsheet which makes it easier to 1. collate all the students data 2. identify student weakness either individually, as a class or as a department. 3. give thorough feedback to individual students regarding topics and overall progress. Finally these questions are not available to students on the internet. Hence no chance of them cheating the night before! Finally the spreadsheet RAG rates each question per student.
Types of roots : The Discriminant
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Types of roots : The Discriminant

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This lesson looks closer at the value b^2 - 4ac and the types of roots the outcome would suggest. The lesson then looks at more algebraic problems.
Standard Integrals
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Standard Integrals

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A lesson teaching students the general integrals they need to know for the A2 material of calculus. A worksheet is also attached which can be used as classwork or as a piece of homework.
GCSE Foundation Run around game 4
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GCSE Foundation Run around game 4

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This activity is aimed at Foundation 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!
Standard Integrals concluded
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Standard Integrals concluded

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This second lesson on standard integrals includes the knowledge of integration of trig functions and the use of the "1/a" notation. Worksheet is included fir students to attempt in class or as a piece of homework.
Constructing Equations
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Constructing Equations

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This lesson teaches students, through worked examples, how we construct equations. The lessons quickly moves onto solving the constructed equations. A worksheet is also provided which can be used in class or as a piece of homework. I usually teach this lesson after a series of lessons on solving equations. https://www.tes.com/teaching-resource/introduction-to-solving-equations-11225938
Mathematics GCSE Revision questions grades 3-5
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Mathematics GCSE Revision questions grades 3-5

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These 17 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a regular shape Simplifying algebraic expressions Solving simple equations removal of brackets Finding the percentage of a quantity Expressing as a percentage Compound interest Fractions (add, multiply, divide) Probability of a single event Probability when a spinner is spun twice Dividing into a given ratio Conversion of metric units Distance, Speed, Time Density, Mass, Volume
Mathematics GCSE weekly revision 2
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Mathematics GCSE weekly revision 2

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These 5 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a trapezium Solving equations finding the nth term of a sequence Constructing an equation Prime factors Volume of a cylinder Decimal multiplication Factorising Removal of brackets Pie charts Transformations
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.
Introduction to Distance, Speed, Time
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Introduction to Distance, Speed, Time

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This lesson is aimed at introducing students to the three formula involving Distance, Speed and Time. There are plenty of worked examples and a worksheet to accompany the lesson.
GCSE Revision: Simultaneous equations
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GCSE Revision: Simultaneous equations

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This revision lesson looks at solving simultaneous equations through the process of elimination. As with the other revision lessons, the lesson consists of a number of worked examples with questions for students to answer embedded throughout the lesson. Duration is approximately two hours.