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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.
Circle Theorem: Angles in a semicircle
sjcoopersjcooper

Circle Theorem: Angles in a semicircle

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This lesson and worksheet looks at the knowledge of the angles contained in a semicircle. This is done through worked examples followed by a worksheet for students to attempt.
Probability of a Single event
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Probability of a Single event

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Three lessons on the probability of a single event. First lesson starts with likelihood The next two lessons then look at the probability being expressed as a fraction.
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.
Standard Form revision
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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
Surface Area
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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.
Types of Triangles & Quadrilaterals
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Types of Triangles & Quadrilaterals

(0)
Here are two powerpoint lessons which give information and properties to all the types of triangles and quadrilaterals which younger students need to know about. The first lesson looks at equilateral, isosceles, right angled and scalene triangles and lists other properties such lines of symmetry and rotational symmetry. The second lesson then looks at the quadrilaterals such as squares, rectangles, the parallelogram, trapezium and kite. This is concluded with a worksheet and answers. The recent edit now includes examples where students must plot coordinates and then name the polygon drawn.
Circle Theorems
sjcoopersjcooper

Circle Theorems

7 Resources
This bundle is all the lessons I use for introducing circle theorems to a class. I have included the proofs of circle theorems which I tend to use with the higher groups only.
Functions
sjcoopersjcooper

Functions

4 Resources
The bundle covers the function work on the new GCSE. Looking at composite functions, inverse functions and transformations of graphs.
Transformations of Graphs: Stretches and reflections
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Transformations of Graphs: Stretches and reflections

(1)
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.
Christmas Mathematics Advent Calendar
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Christmas Mathematics Advent Calendar

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Give your classroom a festive look this December. The two advent calendars are designed to be displayed around the classroom in the run up to the Christmas holiday, or as set pieces of work each day. Students can search the classroom walls for the question of the day and answer the question on their sheet. Ideal as a starter or a good conclusion to the lesson. Questions range from Algebra, number work, fractions, decimals, ratio and much more. There are two calendars which can be mixed and matched as you require. Excellent resource to include a little bit of festive fun and revision.
Angles at a point
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Angles at a point

(0)
This lesson and worksheet teaches students, through worked examples, how to work out missing angles when drawn around a point by calculation. This Powerpoint is used for students who struggle with Mathematics or as an introduction for younger students. The worksheet also has an answer sheet provided. I have updated the background of the slides to be more user friendly for students with dyslexia. Many more lessons available in the shop https://www.tes.com/teaching-resources/shop/sjcooper
Constructions: Bisecting lines and Angles & constructing Angles
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Constructions: Bisecting lines and Angles & constructing Angles

(1)
These two lessons teach students how to 1. Bisect a line 2. Bisect an Angle 3. Drop a perpendicular to a line 4. construct a 60 degree angle 5. construct a 90 degree angle 6. construct the 30 and 45 degree angle 7. construct 75 and 120 degree angles. The lessons also include worksheets for the students to attempt in class or as a piece of homework. Answers are included.
Direct Proportion
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Direct Proportion

(1)
This lesson demonstrates the various ways in which a direct proportion question could be worded. Then through a series of worked examples, students learn how to answer questions involving direct proportion. The lesson contains a worksheet and answers which can be completed in class or set as a piece of homework.
Christmas Workout
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Christmas Workout

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This set of exercises can either be used as a starter during the last two weeks of term or all together as a lesson piece. Designed with a Christmas feel, the task involves students either creating mathematical equations or using the process of elimination to find the numerical values attached to each of the Christmas pictures presented. The material is useful for either KS2 or KS3 students, however GCSE foundation students would also have fun with this material.
A Dozen GCSE Maths Questions worksheets 5 & 6
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A Dozen GCSE Maths Questions worksheets 5 & 6

(1)
Following the Dozen questions theme, attached here are two more worksheets with the same theme. Each worksheet has 12 questions based on the material for the higher level new GCSE specification. Answers are also attached. A great way to identify whether students are solid on the topics selected.
Relative Frequency
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Relative Frequency

(0)
The set contains a worked set of examples in a PowerPoint. There is also a printable set of the examples which might be used in class where students copy the worked solutions as and when delivered by the teacher. The Powerpoint is then followed by a small workbook of seven questions which can easily by sent as an A5 booklet to most printers. The lesson should last up to 1 hour dependent on where you have the students copy out the examples in their entirety or print the prepopulated examples.
Mathematics Specifications taught in years 7 to 11
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Mathematics Specifications taught in years 7 to 11

(2)
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.