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ReallyUsefulMaths

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(based on 167 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.

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Paper 3 Mathematics Papers for Foundation & Higher
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Paper 3 Mathematics Papers for Foundation & Higher

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Here are two papers for mathematics examinations aimed at calculator for foundation and higher. This completes at three paper assessment. These papers can not be obtained by students on the internet. Hence are ideal for end of term (or year) assessments. Solutions are included.
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Trigonometry: Double angle formulae
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Trigonometry: Double angle formulae

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Having taught the Compound Angles the next lesson is this lesson which looks at the double angle formulae and examples of situations where the knowledge is required.
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Calculus Lesson2: Differentiation by rule
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Calculus Lesson2: Differentiation by rule

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This lesson is a follow on from the lesson on differentiation by first principles. Following that lesson and homework, students should by now have realised a shorter approach with differentiation. This lesson develops that understanding, whilst still remaining with the positive power. There is an assumption here that they would have met Tangents and Normals to the curve through their geometry work. The lesson also contains a worksheet for students to work through.
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A Dozen GCSE Maths Questions worksheets 5 & 6
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A Dozen GCSE Maths Questions worksheets 5 & 6

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Following the Dozen questions theme, attached here are two more worksheets with the same theme. Each worksheet has 12 questions based on the material for the higher level new GCSE specification. Answers are also attached. A great way to identify whether students are solid on the topics selected.
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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.
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GCSE Revision Lessons: Transformations & Fractions
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GCSE Revision Lessons: Transformations & Fractions

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Each revision lessons last approximately an hour each with my classes. I work through the worked examples before students then attempt the set questions. We then discuss the answers and correct any mistakes made. The revision lessons in this collection are Transformations: Describing transformations that have been done. Fractions: Addition, Subtraction, Multiplication & division of..
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Perpendicular Lines
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Perpendicular Lines

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This lesson is used to introduce students to perpendicular lines. Finding the gradient of a perpendicular line and the equation of such lines. The lesson is followed with a worksheet which can be used in class or as a piece of homework. Answers are included.
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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
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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.
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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.
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Area of a sector and Arc length
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Area of a sector and Arc length

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These two PowerPoints are designed for students at GCSE level. Through worked examples students learn how to work out the area of a sector or the length of an arc. The lessons are accompanied with two worksheets one for each lesson. Answers are included.
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Division of decimals
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Division of decimals

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This lesson is a PowerPoint which through a series of worked examples shows students how to divide a given decimal by a given integer value.
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Multiplication of Decimals
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Multiplication of Decimals

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This PowerPoint demonstrates through a series of worked examples how we can multiply a given decimal by a given integer.
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Area & Perimeter
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Area & Perimeter

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5 Resources
A collection of PowerPoints on Area of a rectangle, triangle, trapezium and Circle or part circle. The collection also looks at the Perimeter of a rectangle and the circumference of a circle or part circle. Finally there is a collection of worksheets for the above topics.
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Angle Properties
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Angle Properties

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5 Resources
This series of lessons teaches students how to answer questions involving 1. Angles on a straight line 2. Angles at a point. 3. Vertically opposite angles. 4. Corresponding angles & Alternate angles 5. Angles in a triangle & quadrilaterals
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Laws of Indices: Algebraic Introduction
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Laws of Indices: Algebraic Introduction

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This lessons introduces the younger students to the first three laws of indices. Through worked examples students develop their understanding of the quick methods used. The lesson is backed up with a worksheet which can be completed in class or as a piece of homework. I used this lesson with a very low ability year 8 class this week and it worked really well.
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Direct Proportion
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Direct Proportion

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This lesson demonstrates the various ways in which a direct proportion question could be worded. Then through a series of worked examples, students learn how to answer questions involving direct proportion. The lesson contains a worksheet and answers which can be completed in class or set as a piece of homework.
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Inverse Proportion
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Inverse Proportion

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This lesson demonstrates the various ways in which an Inverse proportion question could be worded. Then through a series of worked examples, students learn how to answer questions involving direct proportion. The lesson contains a worksheet and answers which can be completed in class or set as a piece of homework.