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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 Functions
sjcoopersjcooper

Inverse Functions

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This lesson shows students how a function f(x) can be rearranged to obtain the inverse function. Students are also shown the graph of an inverse function when given the graph of y = f(x).
Circular Measures: Radians, Arc length and area of a sector
sjcoopersjcooper

Circular Measures: Radians, Arc length and area of a sector

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This lesson introduces students to the angle measure the Radian. There is a quick proof of the Area of a sector and arc length formulae. Followed by several worked examples on the use of these formulae. It is expected that students would have met the area of a triangle formula in trigonometry before this lesson.
Solving simultaneous equations
sjcoopersjcooper

Solving simultaneous equations

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This lesson revises with students how we can solve simultaneous equations by elimination and by substitution through worked examples. I have used this lesson in the past for year 12 AS students, however I have also used it as a revision lesson for year 11 students.
Volume of revolution
sjcoopersjcooper

Volume of revolution

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This lesson teaches the students how to find the volume of a curve that has been rotated through four right angles about the x-axis. This is done through a series of worked examples.
New GCSE grade 7 material: Test 2
sjcoopersjcooper

New GCSE grade 7 material: Test 2

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This is a Test I will use to check whether my students have met the standards required for topics which have been labelled as grade 7 in the new GCSE. Clearly I have listed which topics are tested and students are given this list in advance so that they can revise the highlighted topics. More tests will follow as I prepare them and then bundles will become available.
The Cosine Rule
sjcoopersjcooper

The Cosine Rule

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Lesson introduces students to the Cosine 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.
Area & Perimeter
sjcoopersjcooper

Area & Perimeter

7 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.
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!
Introduction to Matrices
sjcoopersjcooper

Introduction to Matrices

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Power point lesson with worked examples demonstrates to students how we add/subtract matrices. How to multiply matrices together and then several questions for the students to answer. The lesson is aimed at those students covering the Further Maths GCSE
Problems with Quadratics (including Fractions)
sjcoopersjcooper

Problems with Quadratics (including Fractions)

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The series of worked examples look at factorising and its uses. The examples address the ability to simplify algebraic fractions by factorising. There are then several questions for the students to then answer.
Completing the Square & Quadratic Formula
sjcoopersjcooper

Completing the Square & Quadratic Formula

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These two lessons cover the topics of completing the square and using the quadratic formula solving quadratics. The worked examples also include a proof of the quadratic formula through completing the square. After a series of worked examples there are questions for the students to complete.
Introduction to differentiation
sjcoopersjcooper

Introduction to differentiation

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This lesson introduces students to differentiation by first principles. I have always insisted that students use this as a first stepping stone to differentiation before using the rule.
The exponential function
sjcoopersjcooper

The exponential function

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This lesson introduces students to the exponential function and its link with logs. There are a series of worked examples.
Partial Fractions (Using the coverup rule)
sjcoopersjcooper

Partial Fractions (Using the coverup rule)

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This short series of examples demonstrates how we can use the coverup rule to quickly place a given algebraic fraction into partial fractions. The examples also includes areas where partial fractions is useful.
Addition of Number worksheet
sjcoopersjcooper

Addition of Number worksheet

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The worksheet can be used in class or as a piece of homework for student to demonstrate their ability to add number together. Students could write on the sheet, however I often have them answer on paper or in their books.
Subtraction of number
sjcoopersjcooper

Subtraction of number

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The worksheet can be used in class or as a piece of homework for student to demonstrate their ability to subtract two numbers. Students could write on the sheet, however I often have them answer on paper or in their books.
Arc length on a curve
sjcoopersjcooper

Arc length on a curve

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This lesson looks at the integration required when finding the length of section of curve. Through worked examples students will be able understand how the formula is used.
Differential Equations
sjcoopersjcooper

Differential Equations

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This lesson is an introduction to differential equations which is required at Core 4 level and also in the later mechanics work. There are several worked examples which demonstrate how to separate he variables and then use their knowledge of integration.
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.