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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.
Area & Perimeter
sjcoopersjcooper

Area & Perimeter

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This work book consists of worksheets which are used with the lessons on Area of a rectangle Perimeter of a rectangle Area of a triangle Area of a circle Circumference Area of a Sector Arc Length
Multiplication of Decimals
sjcoopersjcooper

Multiplication of Decimals

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This PowerPoint demonstrates through a series of worked examples how we can multiply a given decimal by a given integer.
Addition of Fractions
sjcoopersjcooper

Addition of Fractions

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This lesson is a Powerpoint and Worksheet which I have used to teach students how to add fractions together. This lesson is taught once I have covered equivalent fraction. Once the worked examples have been covered students should be given the worksheet to either complete in class or as homework. A Brexit question involving a village turn out for the referendum is a recent addition. Answers to the worksheet are also provided.
Equivalent Fractions
sjcoopersjcooper

Equivalent Fractions

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This lesson is intended for younger students, when first meeting the notion of equivalent fractions. The powerpoint consists of examples where shapes have the same amount shaded areas but divided into different amounts. Hence students can see equivalent fractions as being "the same" or better still equal through area shaded. The lesson also contains a worksheet with answers to backup the lesson.
The sigma Notation and Difference Method
sjcoopersjcooper

The sigma Notation and Difference Method

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These two lessons cover the introduction to the sigma notation and a lesson on the Difference method. The method of difference is an alternative to the proof by induction.
Bar Charts
sjcoopersjcooper

Bar Charts

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This lesson I usually teach to the younger students. I prefer to drawn horizontal bar charts as the labelling is much easier to represent. However there are examples of vertical bar charts in the powerpoint and worksheet. One of the slides is designed to carry out a tally chart in class. Once the tally has been collected you can place the information into the next slide and a horizontal bar chart for the live data will be presented.
Transformations of graphs Introduction
sjcoopersjcooper

Transformations of graphs Introduction

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These two lessons and worksheets are lessons which cover the translations of graphs and the knowledge of stretching a graph by a given scale factor. The lesson is aimed at the students working out the translation which takes place by initially drawing certain graphs and then linking them the original graph drawn. This is then followed by a series of examples. The second lesson is similar in that the students are encouraged to draw a series of graphs before linking them to the original as a stretch. The lesson then continues with a series of worked examples. Both lessons have a worksheet with solutions.
Finding the Percentage of a quantity
sjcoopersjcooper

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.
Area of a circle
sjcoopersjcooper

Area of a circle

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A lesson introduces the students to pi. Students work out for themselves with little guidance that pi is approximately 3 or even 3.1. This also gives the teacher the opportunity to introduce the formula for the area of the circle. The follow up lesson also on this resource has several examples involving finding the areas of circles. The resource also contains a worksheet for students to answer either in class or as a piece of homework. The answer sheet provided here is for the free resource I have provided on the TES.
Expressing recurring decimals as fractions
sjcoopersjcooper

Expressing recurring decimals as fractions

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The lesson teaches students how to express a variety of recurring decimals as fractions. The lesson ends with a worksheet which could be printed for students to complete in class or as a piece of homework.
Introduction to Standard Form
sjcoopersjcooper

Introduction to Standard Form

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Lesson introduces students to standard form. Examples demonstrate how to express a number in standard form or as an ordinary number. Lesson ends with a worksheet which can be printed for students to answer in class or as a piece of homework.
Introduction to solving equations
sjcoopersjcooper

Introduction to solving equations

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The package here contains both worked examples and printable worksheets. The lessons start with very simple equations and shows how they can be solved. The lessons increase with difficulty to a reasonable standard for students aged 9, 10 or 11. Or for students who struggle with this topic at the higher ages.
Transformations and Matrices
sjcoopersjcooper

Transformations and Matrices

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This Power point demonstrates to students that several 2 x 2 matrices can be used to complete certain transformations. Following from the examples there are several questions that the students can attempt.
GCSE Mathematics : Revision End of Term Games
sjcoopersjcooper

GCSE Mathematics : Revision End of Term Games

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This activities are aimed at key stage 3 students but could be used as revision for students who are revising for their GCSE examination. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table. Students are put into pairs (either by choice or teacher selection) and are given a copy of slide 14 and a few sheets of pieces of A4 paper. The pairs are designated a starting table and the timer (slide 2) is started. The students are then given 5 minutes to answer the four questions on that table. Once the five minutes is up the students move clockwise to the next table and start the next set of four questions and the timer of slide 3 is started. This continues until all students have completed the six tables worth of questions. The answering of the questions takes no more than 30 minutes. Students then remain at their final table, swap their answer sheet with the nearest table and the answers are produced. At this stage I go through the questions before revealing the answers. In this way the students have had a go at GCSE style foundation questions and have also seen a demonstration as to how they should have been answered. Finally, students add up their score and the highest score get a prize!
Algebra : Collection of like terms, Simplifying expressions and Substitution
sjcoopersjcooper

Algebra : Collection of like terms, Simplifying expressions and Substitution

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This bundle of work consists of three lessons with worksheets. Lesson one : Collection of like terms. This lesson and two worksheets covers the ability to collect like terms when simplifying a series of terms. Lesson two : Simplifying expressions This lesson and two worksheets looks at multiplying terms together where algebra is involved. (At the same time revising the knowledge of - x - or - x +, etc) Lesson three : Substitution into formulae This lesson and two worksheets covers the ability to substitute numerical values into simple algebraic expressions Two worksheets have been given per lesson so that if the class has an issue with the first worksheet, then a review of the work can take place with the follow up worksheet used to demonstrate improvement. These lessons are suitable as an introduction to Algebra or for the younger students who have little knowledge in Algebra.
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.
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.
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.