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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.
Inverse Proportion
sjcoopersjcooper

Inverse Proportion

(1)
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.
Vectors Introduction
sjcoopersjcooper

Vectors Introduction

(1)
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.
Integration by substitution
sjcoopersjcooper

Integration by substitution

(0)
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.
Angles in a Triangle & Angles in a Quadrilateral
sjcoopersjcooper

Angles in a Triangle & Angles in a Quadrilateral

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The power point presentation shows students why angles in a triangle add up to 180. Prior knowledge is required here of the angles on a straight line and/or Alternate angles. The power point has a series of worked examples for the angles in a triangle before looking at the angles in a quadrilateral. Following the angles in a quadrilateral there are a series of cards that can be printed to go with a collection of questions at the board. (a bit like bingo) Students answer each question and should find a number that can be crossed out. The winner being the one who completes their card correctly!
Circle Theorem: Angles in a semicircle
sjcoopersjcooper

Circle Theorem: Angles in a semicircle

(0)
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.
Arc length & Area of a sector
sjcoopersjcooper

Arc length & Area of a sector

(0)
These two PowerPoints are designed to teach students how to find the arc length of a circle or the area of a sector. The assumption is that students will already know how tho find the area of a circle and the circumference of a circle. Through worked examples students learn how to work out the area of a sector or the length of an arc.
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.
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.
Transformations of Graphs: Stretches and reflections
sjcoopersjcooper

Transformations of Graphs: Stretches and reflections

(1)
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.
Surface Area
sjcoopersjcooper

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.
The Definite integral
sjcoopersjcooper

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.
Introduction to Algebra
sjcoopersjcooper

Introduction to Algebra

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This power point presentation is an introduction to Algebra. By the end of the one or two lessons students should have gained a basic understanding for the use of letters and be able to collect together like terms. The structure of the lesson allows the teacher to discuss answers and write them down as the power point in flow.
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.
Completing the square and circle centre the origin
sjcoopersjcooper

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.
Circle Theorem: Angle between a tangent and its radius
sjcoopersjcooper

Circle Theorem: Angle between a tangent and its radius

(1)
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)
Laws of Logs
sjcoopersjcooper

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.
Pie Charts
sjcoopersjcooper

Pie Charts

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This lesson is a series of examples aimed at students who have met Pie charts in earlier years. The lesson is aimed at re-enforcing the knowledge of pie charts through a series of worked examples. This presentation also includes a worksheet for students to attempt in class or as a piece of homework.
Geometric Mean and Index numbers
sjcoopersjcooper

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.