# 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.

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14 Resources

16 Resources

#### Geometric Mean and Index numbers

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This lesson was created to help students with the Edexcel level 3 examination. Students learn the formula for the geometric mean and look at some worked examples.

#### 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.

#### GCSE Revision: Simultaneous equations

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This revision lesson looks at solving simultaneous equations through the process of elimination. As with the other revision lessons, the lesson consists of a number of worked examples with questions for students to answer embedded throughout the lesson. Duration is approximately two hours.

#### GCSE Algebra revision guide

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This document is a revision booklet I put together for my students over the years. It contains worked examples and notes describing how certain problems are solved.

#### Year 3: Equivalent Fractions

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This PowerPoint lesson looks at equivalent fractions through worked examples of areas shaded. The lesson is backed up with a worksheet for pupils to answer either in class or as a piece of homework. Answers are included.

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Lesson and questions showing students how to solve inequalities involving quadratics. This topic is relatively new to the GCSE grading 1 to 9.

#### Angles in a triangle or 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!

#### Probability Sample Space

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A power point presentation covering examples of two event represented in a sample space diagram. Including how to use the diagrams to find the probabilities of two events occurring.

#### Angles in a Polygon Revision lesson

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This lesson is designed for my Key stage 4 classes. Through a series of worked examples the class revise how to find the number of sides for a regular polygon or the size of interior and exterior angles. Plus further problems. The lesson also contains a worksheet with solutions.

#### Constructing Triangles

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Three lessons on how to construct Triangles. Each lesson has a relevant worksheet for students to answer either in class or as a piece of homework. Each worksheet also has a solution sheet. First lesson looks at constructing triangles when given all three sides. Second lesson looks at constructing triangles when given one side and two angles. Third lesson looks at constructing triangles when given two sides and one angle.

#### Circle Theorem: Angle between a tangent and its radius

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This lesson and worksheet looks at the knowledge of the angle knowledge between a tangent and its radius through worked examples.

#### Mathematics GCSE Revision questions grades 3-5

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These 17 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a regular shape Simplifying algebraic expressions Solving simple equations removal of brackets Finding the percentage of a quantity Expressing as a percentage Compound interest Fractions (add, multiply, divide) Probability of a single event Probability when a spinner is spun twice Dividing into a given ratio Conversion of metric units Distance, Speed, Time Density, Mass, Volume

#### GCSE Foundation revision: Types of number

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This revision session is aimed at helping the weaker year 11 students answer the type of question which involves Primes numbers, square numbers, cubes or a given multiple.

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With my year 11 foundation group struggling with recent Best Buy questions I put these two slides together for further practice. I worked through the first example and then they attempted the following questions before we checked answers together. It is only a short piece but follows the same pattern as most of my other revision lessons. However the other revision lessons tend to last the length of a lesson.

#### Percentages

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Free worksheets on Percentages including Percentages of a quantity without a calculator Percentages of a quantity with a calculator Expressing as a percentage Compound measures These worksheets have been generated using the spreadsheet available in the shop link below: https://www.tes.com/teaching-resource/percentages-11809260 Generate as many as you like!

#### Introduction to drawing Pie Charts

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Ideal for students meeting pie charts for the first time. This power point lesson teaches students how they must alter the frequencies in order to draw a variety of pie charts. The additional PowerPoint has the protractor shown on more questions for those students who need that amount of detail at the board This lesson is accompanied with a worksheet for students to answer in class or as a piece of homework. An Additional worksheet have been added for those who require it.

#### Finding the Percentage of a quantity

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Lesson of worked examples involving how to find the percentage of a quantity without the use of a calculator. The lesson also includes a worksheet for students to work through. Answers are included.

#### Right Angled Trigonometry Workbook

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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.

#### 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

#### 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.