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ReallyUsefulMaths

Average Rating4.11
(based on 167 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.

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Introduction to Index Notation
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Introduction to Index Notation

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This lesson introduces students to the first two rules applied when multiplying or dividing numbers to given powers. The powerpoint consists of worked examples and concludes with a worksheet for the students to complete.
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Rational and Irrational Numbers
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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.
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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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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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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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Integration by Parts
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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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R Alpha Method
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R Alpha Method

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This lesson introduces students to the R Alpha method. It is expected that the compound angles have been taught first. This lesson calls upon that knowledge and shows how this method is useful in a variety of situations.
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Integration by substitution
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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.
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Solving Equations (more complicated)
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Solving Equations (more complicated)

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This lesson has a series of worked examples showing students how to solve more complicated linear equations and also quadratics. The lesson has been used in the past for year 12 students in September. However it can also be used for the more complicated questions required in year 11 work.
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Solving simultaneous equations
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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.
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The Sine Rule
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The Sine Rule

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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.
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Pythagoras Theorem Introduction
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Pythagoras Theorem Introduction

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This is a power point presentation which introduces students to the knowledge of Pythagoras' Theorem. It includes many worked examples. I usually teach this over two lessons.
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Right Angled Trigonometry question booklet
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Right Angled Trigonometry question booklet

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This workbook can be used with the Power point set. It introduces students to labeling up a triangle. Investigate the Sine ratio, Cosine ratio and Tangent ratio. The booklet has a variety of worksheets for each of these individually before mixing it up a little. The booklet then concludes with students having questions where they have to find the labeled angle. The booklet can be printed as an A5 booklet, which I find is easily placed in their books.
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Right Angled Trigonometry
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Right Angled Trigonometry

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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.
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Probability Tree Diagrams
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Probability Tree Diagrams

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A power point presentation which shows students how to construct and use a Tree diagram through a series of worked examples. Following the presentation there is a worksheet for students to answer either as a piece of classwork or as a homework. Answers are also provided.
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Further Trigonometry Problems question booklet
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Further Trigonometry Problems question booklet

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This booklet extends from the introduction of trigonometry. The book has a series of worksheets covering Pythagoras or Right angled trigonometry for 3D objects. The booklet then has worksheets on the Sine rule, The Cosine rule and then The area of a triangle.
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PowerPoint to help students learn their multiplication tables.
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PowerPoint to help students learn their multiplication tables.

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A series of slides which help students learn as a class their multiplcation tables. A teacher can jump to a particular times table for students to watch has the times tables pop up when directed. Also there is a final slide which I've found useful for some students.
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PowerPoint which helps teach students times tables.
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PowerPoint which helps teach students times tables.

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A series of slides which help students learn as a class their multiplcation tables. A teacher can jump to a particular times table for students to watch has the times tables pop up when directed. Also there is a final slide which I've found useful for some students.
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Subtracting numbers
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Subtracting numbers

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This lesson shows younger children how to subtract numbers when using the column method. Each example is worked through and students can see clearly each step. There are plenty of examples so that children can grasp the techniques involved. The latter examples involve an element of literacy to the question.