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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.
Probability
sjcoopersjcooper

Probability

5 Resources
These three presentations cover lessons from the basics of probability of one event up to the probability of more than one event represented on tree diagrams or on a sample space.
Introduction to Algebra
sjcoopersjcooper

Introduction to Algebra

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This power point presentation is an introduction to Algebra. By the end of the one or two lessons students should have gained a basic understanding for the use of letters and be able to collect together like terms. The structure of the lesson allows the teacher to discuss answers and write them down as the power point in flow.
Gradient of a Tangent to a curve
sjcoopersjcooper

Gradient of a Tangent to a curve

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These worked examples revise drawing quadratic curves and then teaches how we can draw a tangent by eye on the curve for different values of x. The examples then demonstrate how we can find the gradient of the tangents drawn. The lesson is accompanied with two worksheets for the students to complete in class or as a piece of homework.
Right Angled Trigonometry Introduction
sjcoopersjcooper

Right Angled Trigonometry Introduction

(1)
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.
Solving Simple Equations
sjcoopersjcooper

Solving Simple Equations

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A series of worksheets involving solving equations. Designed for students meeting Algebra in the early stages.
Dividing into a given ratio GCSE revision
sjcoopersjcooper

Dividing into a given ratio GCSE revision

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Here are two revision lessons I have used throughout the year with foundation students. The lessons consist of worked examples followed by questions for the students to answer. The PowerPoint is broken down so that any foundation student can access the material.
Subtracting Numbers
sjcoopersjcooper

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.
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.
Proportion
sjcoopersjcooper

Proportion

3 Resources
This bundle is a collection of lessons that I tend to use in year 8 or 9 to teach students direct and inverse proportion. Starting with numerical problems before looking at the more algebraic problems that we see at GCSE
Angles in a Polygon Revision lesson
sjcoopersjcooper

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.
Simultaneous equations with one linear and one quadratic equation.
sjcoopersjcooper

Simultaneous equations with one linear and one quadratic equation.

(1)
This lesson is taught once students have a firm understanding of solving simultaneous equations through elimination. Through worked examples students learn how to solve simultaneous equations by the substitution method. Further examples demonstrate its use when looking at points of intersection with a curve and a line. The lesson is completed with a worksheet which can be answered in class or as a piece of homework. (Answers are included)
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.
Frequency polygons and Histograms
sjcoopersjcooper

Frequency polygons and Histograms

(1)
These two lessons and two worksheets I have used to introduce the basic knowledge of a histogram and then use this knowledge to draw a frequency polygon. The histogram powerpoint and worksheet leaves the class widths at equal intervals. The frequency polygon powerpoint is then taught the next lesson to show students that it is quicker to draw a frequency polygon (and use it for comparisons) rather than a histogram. The worksheets can be used in class or given as a piece of homework.
Arc length & Area of a sector
sjcoopersjcooper

Arc length & Area of a sector

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These two PowerPoints are designed to teach students how to find the arc length of a circle or the area of a sector. The assumption is that students will already know how tho find the area of a circle and the circumference of a circle. Through worked examples students learn how to work out the area of a sector or the length of an arc.
Best Buys Revision
sjcoopersjcooper

Best Buys Revision

(2)
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.
Standard Form revision
sjcoopersjcooper

Standard Form revision

(2)
Keeping with the theme of the revision lessons already on here this lesson looks at the ability of students being able to write as a standard form, or as an ordinary number. It also looks at multiplication or division of numbers written in standard form. This lesson is part of the bundle I am currently putting together for both my higher level and foundation level students. The bundle can be found from the following link. https://www.tes.com/teaching-resource/gcse-revision-lessons-11733758
Mathematics Specifications taught in years 7 to 11
sjcoopersjcooper

Mathematics Specifications taught in years 7 to 11

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I put this on the site because I’ve used this since 1988 and its proved successful. Since the introduction of National curriculum, with its 15 attainment targets, I divided it into 5 sections. The four you see on each specification sheet plus one for investigations. What I like about this presentation is whenever I have seen a change to the syllabus such as in 1994, 2000, 2010 and more recently in 2015 I have only had to alter a little of what I do. Each year I print the specifications onto A3 paper. In a meeting, at the beginning of the year, we discuss what went well what do we think should be added to the year 7, 8, 9 scheme of work so that the work in year 10 and 11 can be reduced. I’ve been invited to several school to implement this and each school had sightly different schemes to each other. So for example with the introduction of the iterative formula I decided to introduce this in year 9 so that when students study this in years 10 or 11 they have already met it once. Years ago I decided that students in years 10 and 11 were struggling with Circle Theorems. Hence I introduced students to circle theorems in year 7 with two introduced. In year 8 we revised these two theorems and introduced 2 more. Then in year 9 all 6 theorems. This proved successful. Now don’t get me wrong some years we added to a curriculum to find at the end of the year we were criticising ourselves with “theres too much to get through”; so the yearly debate is essential.Plus if nothing else it shows you are working as a team. The scheme for year 7 is aimed at everyone. Each student having the same opportunity to flourish. The schemes for year 8 and 9 are taken at the teachers discretion. That is to say with some classes the teacher will touch on a topic listed whereas other classes with totally master the said topic. The scheme in year 10 and 11 is what is required for the new specifications. Again a teacher decides where to start what they feel they can omit from the classroom learning, etc… Some might say what materials do I need to cover the topics you have listed or resources. I have always left that up to the individual teacher (treating them as a professional) however if someone did ask for advise on covering say Decimals I would give them access to the power points and worksheets I use for that year group. I have demonstrated this with a hyperlink on many of the topics. I will add to these hyperlinks as I upgrade my lessons from PowerPoint/board work.