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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.
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.
Enlargements
sjcoopersjcooper

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.
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.
Composite Functions
sjcoopersjcooper

Composite Functions

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This powerpoint lesson follows any lesson that has introduced functions to students. The lesson begins by demonstrating how functions could be combined together in order to make other functions. It then demonstrates, through worked examples, how to calculate a composite function. The worksheet has two uses, the first three questions are designed for students to demonstrate they have followed the process of finding a composite function. The remaining questions, whilst continuing this process, leads us to another lesson on Inverse Functions. The composite for the remaining questions work out to be repeatedly x.
Inverse Proportion
sjcoopersjcooper

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.
A Dozen GCSE Maths Questions 11 & 12
sjcoopersjcooper

A Dozen GCSE Maths Questions 11 & 12

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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 in Mathematics. Answers are also attached. A great way to identify whether students are solid on the topics selected.
Revision for end of term Assessments
sjcoopersjcooper

Revision for end of term Assessments

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This serious of revision slides has been produced for my students revising for their recent assessments. It can be used with Key stage 2 students, Key stage 3 students and Key stage 4 students studying Foundation at GCSE. The topics covered are Percentages with and without a calculator Fractions with and without a calculator Ratio cancelling down Dividing into a given ratio Algebraic expressions and simplifying Solving simple equations Angles properties. Probability of a single event Area of a rectangle, triangle & Trapezium
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.
Right Angled Trigonometry Introduction
sjcoopersjcooper

Right Angled Trigonometry Introduction

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An introduction for students meeting Trigonometry for the first time. Covering several lessons. Demonstrates how to label the sides of a right angled triangle. Introduces students to the three Trig ratios before looking at finding angles.
Relative Frequency
sjcoopersjcooper

Relative Frequency

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The set contains a worked set of examples in a PowerPoint. There is also a printable set of the examples which might be used in class where students copy the worked solutions as and when delivered by the teacher. The Powerpoint is then followed by a small workbook of seven questions which can easily by sent as an A5 booklet to most printers. The lesson should last up to 1 hour dependent on where you have the students copy out the examples in their entirety or print the prepopulated examples.
Cumulative Frequency
sjcoopersjcooper

Cumulative Frequency

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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.
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: 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

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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.
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.
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.
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.
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.
Angles on a straight line
sjcoopersjcooper

Angles on a straight line

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This lesson and worksheet teaches students, through worked examples, how to work out missing angles on a straight line by calculation. This Powerpoint is used for students who struggle with Mathematics or as an introduction for younger students. The worksheet also has an answer sheet provided. I have updated the background of the slides to be more user friendly for students with dyslexia. Many more lessons available in the shop https://www.tes.com/teaching-resources/shop/sjcooper
Angles associated with Parallel lines
sjcoopersjcooper

Angles associated with Parallel lines

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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.