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ReallyUsefulMaths

Average Rating4.11
(based on 168 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.

Mathematics

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Integration by Parts
sjcoopersjcooper

Integration by Parts

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This PowerPoint is a lesson on integration by parts. I first demonstrate how the formula is a rearrangement of the product rule. I show the formula also in words as I find that students generally find this the easiest way to remember it. The lesson contains a number of worked examples for students to follow.
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Function of a function rule (chain rule)
sjcoopersjcooper

Function of a function rule (chain rule)

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This lesson is an introduction to the more complicated differentiation. Using the knowledge of basic differentiation these examples introduce students to differentiation by substitution before using the rule. I teach this rule this way first before showing them the quick approach when teaching the product rule and quotient rule.
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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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Introduction to Projectiles
sjcoopersjcooper

Introduction to Projectiles

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This lesson is an introduction to projectiles. It is assumed that students are already familiar with the standard formulae used in kinematics when a body moves in one direction. I always start this lesson by throwing the board pen horizontally and students witness that it moves in two directions. We discuss the acceleration acting on the body and hence the first example is on this basis. I follow that up with some more worked examples before giving them a standard diagram for projectiles.
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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).
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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.
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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.
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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.
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Equation of a circle centre (a, b)
sjcoopersjcooper

Equation of a circle centre (a, b)

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This lesson teaches students the general format for the equation of a circle. This follows with a series of examples which either find the equation of a circle or uses the equation of a circle.
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Tangents and Normal to a curve
sjcoopersjcooper

Tangents and Normal to a curve

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This lesson teaches students what is meant by a tangent and normal to a curve. The lesson then works through some examples finding the equation of a given tangent or a given normal.
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Stationary Points
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Stationary Points

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This lesson is an introductory lesson into finding stationary points for a quadratic or cubic. This lesson looks at finding the nature of the stationary points by change of gradient. The lesson concludes with a couple of slides with questions for the students to answer.
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Reverse Percentages
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Reverse Percentages

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This lesson demonstrates to students how we can find the original amount when a percentage has already been added on or subtracted off.
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Hyperbolic Functions
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Hyperbolic Functions

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This lesson introduces students to the understanding of Hyperbolic functions through a series of worked examples. Including the curves.
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The Parabola
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The Parabola

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This lesson looks at the Parabola from a Geometric point of view. Sketching the curve from knowing the vertex and key coordinates. The examples also involve some algebraic operations involved with the parabola.
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The CAST Diagram
sjcoopersjcooper

The CAST Diagram

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I use this PowerPoint over two lessons. The first lesson introduces students to the CAST diagram. There is an assumption that students are already aware of the three trig curves. A series of examples follow where students find the exact value for the sin, cos or tan of certain angles. The second lesson looks at the definition of a negative angle. The lessons complete with examples of how the CAST diagram can be used to solve simple trig equations for a given range.
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Introduction to Bearings
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Introduction to Bearings

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This lesson introduces students to Bearings. The lesson demonstrates how we measure a bearing through a series of examples. Followed by a number of examples where students will draw bearings. The last set of examples are more detailed with a set of instructions to follow in order to answer the question. The lessons are accompanied with two worksheets which can be completed in class or as a piece of homework.
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Transformations of Graphs: Stretches and reflections
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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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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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Multiples, Factors, Prime Factors, LCM and HCF
sjcoopersjcooper

Multiples, Factors, Prime Factors, LCM and HCF

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This lesson or two has a series of slides which help teach or revise the words listed above. This is done with a variety of examples playing particular attention to prime factors. The powerpoint ends with two slides which can be printed off as a worksheet for students to answer in class or for homework.