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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.
The Sine Rule
sjcoopersjcooper

The Sine Rule

(1)
Lesson introduces students to the Sine 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. The worksheet has answers with it.
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.
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.
Geometric Progressions
sjcoopersjcooper

Geometric Progressions

(1)
This lesson has several worked examples introducing students to the geometric series. The lesson ends with a worksheet which can be printed for students to answer in class or as a piece of homework. Recent update includes on extra example.
Percentages: Compound Measures
sjcoopersjcooper

Percentages: Compound Measures

(1)
This lesson looks at obtaining the percentage of a quantity over a period of time, whether it is compound interest, decay or reduction over a period of several years. The lesson consists of a powerpoint of worked examples, followed by a worksheet and answers are provided.
Removal of bracket & Common factor
sjcoopersjcooper

Removal of bracket & Common factor

(1)
This lesson is a lesson of two halves. The powerpoint consists of worked examples. The first part of the lesson demonstrates how we remove a bracket. The second half of the lesson introducing students to factorisation by means of a common factor. The resource also contains a worksheet which can be used in class or as a piece of homework. Answers are included.
Introduction to the Mode & Median
sjcoopersjcooper

Introduction to the Mode & Median

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This lesson I teach to student in key stage 3 who have never met the definition of the mode or median before. The lesson is accompanied with a worksheet which can be used in class or as a piece of homework.
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.
Transformations with Matrices: Using the unit square
sjcoopersjcooper

Transformations with Matrices: Using the unit square

(1)
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: 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 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.
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.
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.
Angles associated with Parallel lines
sjcoopersjcooper

Angles associated with Parallel lines

(1)
This Lesson consists of a PowerPoint which, through worked examples, teaches students about Corresponding and Alternate angles. Following the PowerPoint there are questions which the students can attempt as a piece of classwork or homework. Answers are also provided. The lesson now has an alternative way for delivery. Since COVID I have placed the poerpoint onto two two-sided lessons so that students can just complete the examples with the aid of the teacher. This saves time in copying material from the board and helps towards catch-up. Also the Worksheets can now be printed in booklet form so that students can easily submit their answers. All aimed at giving you choice when delivering the lesson.
Cumulative Frequency
sjcoopersjcooper

Cumulative Frequency

(1)
Lesson introduces students to Cumulative Frequency and ability to estimate the Median and Interquartile range from it. The lesson has a series of worked examples before ending with a large worksheet for students to complete.
Completing the square and circle centre the origin
sjcoopersjcooper

Completing the square and circle centre the origin

(1)
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.
Rational and Irrational Numbers
sjcoopersjcooper

Rational and Irrational Numbers

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The power point lesson teaches students the understanding of the works Rational and irrational when it comes to numbers. There is a proof for the square root of 2 being irrational and a number of examples where recurring decimals are expressed as fractions (hence showing that they are rational numbers). I always teach this lesson before introducing the simplifying of surds.
Histograms
sjcoopersjcooper

Histograms

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This lesson I have used as an introduction to drawing histograms when the class width is varied. The lesson also consists of two worksheets which can be used in class or as a piece of homework.
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.
Conversion of Percentages & Fractions
sjcoopersjcooper

Conversion of Percentages & Fractions

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This is a short lesson which demonstrates to students how we can convert Percentages into fractions or decimals and fractions or decimals into percentages. The lesson also contains a worksheet with answers for students to answer in class or as a piece of homework.