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ReallyUsefulMaths

Average Rating4.08
(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.

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Transformations Rotations
sjcoopersjcooper

Transformations Rotations

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A lesson demonstrating how to complete the necessary rotations, whether on a grid or involving the xy axis. This lesson also contains a worksheet which can be used in class or as a piece of homework.
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Enlargements
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Enlargements

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These two lessons are used with younger students to introduce Enlargements. The first lesson looks at enlarging shapes with the use of ray lines and compasses. The second lesson looks at the type often seen in the GCSE examination where the enlargement takes place on a set of xy axes.
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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.
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Vectors Introduction
sjcoopersjcooper

Vectors Introduction

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These two lessons are my first two lessons introducing students to a vector. The definition of a vector quantity and knowledge of position vectors, column vector, magnitude of a vector and collinear points. Also through a variety of examples students learn how vectors are used.
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Integration by substitution
sjcoopersjcooper

Integration by substitution

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This PowerPoint contains what I teach as two lessons. The first introduces students to the method of substitution whilst the second concludes this knowledge with worked examples with the definite integral.
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Circle Theorem: Angles in a semicircle
sjcoopersjcooper

Circle Theorem: Angles in a semicircle

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This lesson and worksheet looks at the knowledge of the angles contained in a semicircle. This is done through worked examples followed by a worksheet for students to attempt.
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Transformations with Matrices: Using the unit square
sjcoopersjcooper

Transformations with Matrices: Using the unit square

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This lesson consists of a series of examples which demonstrate how a unit square can be used to determine which transformation a given 2x2 matrix represents. Also the unit square can be used to create a 2x2 matrix. The lesson concludes with a set of questions for the students to answer. I tend to use this lesson when teaching the Further Mathematics GCSE.
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Transformations of Graphs: Translations
sjcoopersjcooper

Transformations of Graphs: Translations

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This lesson is used to develop an understanding of the transformations of graphs when given in the format y = f(x). This lesson concentrates on the translations of curves. Initially the examples are to develop their understanding. Whereas the further examples are for students to follow the rules developed. The lesson ends with a slide which can be printed for students to attempt on their own.
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Transformations of Graphs: Stretches and reflections
sjcoopersjcooper

Transformations of Graphs: Stretches and reflections

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This lesson is used to develop an understanding of the transformations of graphs when given in the format y = f(x). This lesson concentrates on the stretches of curves including reflections. Initially the examples are to develop their understanding. Whereas the further examples are for students to follow the rules developed. The lesson ends with a slide which can be printed for students to attempt on their own.
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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.
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Surface Area
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Surface Area

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This lesson looks at finding the surface area of shapes such as cuboids, square based pyramids, cylinders, cones and spheres. The lesson also shows a proof for the surface area formula of a cone. However for this students to understand this proof it is essential that they have already met arc length and area of a sector. The lesson contains a number of worked examples.
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Completing the square and circle centre the origin
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Completing the square and circle centre the origin

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This lesson I teach students sometime after completing the square introduction and before the equation of circle centre (a,b) The start of the lesson looks at revision of completing the square and some uses to it. The latter part of the lesson looks at the circle centre (0,0) and several aspects which will become useful in time. The lesson concludes with some questions for the students to answer.
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Laws of Logs
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Laws of Logs

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This lesson is designed to firstly demonstrate to students how they can prove the three laws of logs. Then there are several examples which use the laws of logs. The lesson is follow on from the introduction to logs.
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Circle Theorem: Angle between a tangent and its radius
sjcoopersjcooper

Circle Theorem: Angle between a tangent and its radius

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This lesson and worksheet looks at the knowledge of the angle knowledge between a tangent and its radius through worked examples. The lesson also consists of two worksheets covering this theorem. (Whilst also using some of the earlier theorems taught)
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Calculating the mean from a grouped Distribution
sjcoopersjcooper

Calculating the mean from a grouped Distribution

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This Powerpoint consists of a variety of worked examples which demonstrate how we can calculate an estimate for the mean by using the "fx" column. This lesson is usually taught after the lesson which introduces students to the "fx" column.
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Geometric Mean and Index numbers
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Geometric Mean and Index numbers

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This lesson was created to help students with the Edexcel level 3 examination. Students learn the formula for the geometric mean and look at some worked examples.
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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.
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Standard Form with the Calculator
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Standard Form with the Calculator

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Introduces students to the designated button on the calculator for Standard form questions. After a series of examples there is a worksheet which can be printed for students to answer in class or as a piece of homework.
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Logarithms & Exponentials worksheets
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Logarithms & Exponentials worksheets

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The worksheets here are to accompany the lessons on 1. an introduction to Logarithms 2. Laws of Logs 3. Exponentials In the past I have given them as classwork/homework. Answers included.