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ReallyUsefulMaths

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(based on 169 reviews)

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.
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.
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.
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.
GCSE Maths : Factorising trinomials
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GCSE Maths : Factorising trinomials

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This lesson has been used over the years as an introduction to factorising initially the basic trinomials before looking at the more complicated trinomials. The lesson also consists of a worksheet with solutions for students to attempt in class or as a piece of homework.
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.
Differential Equations
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Differential Equations

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This lesson is an introduction to differential equations which is required at Core 4 level and also in the later mechanics work. There are several worked examples which demonstrate how to separate he variables and then use their knowledge of integration.
Volume of revolution
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Volume of revolution

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This lesson teaches the students how to find the volume of a curve that has been rotated through four right angles about the x-axis. This is done through a series of worked examples.
The Cosine Rule
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The Cosine Rule

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Lesson introduces students to the Cosine Rule formula which can be used for a variety of triangles. The lesson then has a series of worked examples before ending with a a number of questions for students to complete.
Area of a Triangle and Trapezium
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Area of a Triangle and Trapezium

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These two PowerPoint presentations teach students how we find the area of a triangle and a trapezium. Now that students must learn the formula for the area of a trapezium I have shown how the formula is created through the knowledge of the area of a triangle. Through worked examples students learn how to apply these formulae.
3D objects
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3D objects

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Lessons which teach students the properties of Prisms, Pyramids and the Sphere. Including symmetry. This purchase also includes a worksheet for the students to complete.
Hyperbolic Functions
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Hyperbolic Functions

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This lesson introduces students to the understanding of Hyperbolic functions through a series of worked examples. Including the curves.
Arc length on a curve
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Arc length on a curve

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This lesson looks at the integration required when finding the length of section of curve. Through worked examples students will be able understand how the formula is used.
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.
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.
Touching circles
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Touching circles

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This is the third of three lessons on circles aimed at Advanced level. This lesson looks at circle touching externally or internally.