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ReallyUsefulMaths

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(based on 169 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.
Christmas End of Term Games
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Christmas End of Term Games

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These activities are aimed at key stage 3 students. They could also be used as revision for GCSE students. The pack contains GCSE foundation style questions including standard form, ratio, number work, fractions, algebra and much more. Answers are included. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table Put students into pairs (either by choice or teacher selection) Each 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 each set of questions. The exercise should take no longer than 30 minutes At the end students remain at their final table and swap answer sheets with the nearest table. Go through each question with the class before revealing the answers. Finally, students ad up their score and the highest score gets a prize! This exercise gives students a chance to try GCSE style foundation questions and see a demonstration on how they should be answered.
Circle Theorem: Angles in a cyclic quadrilateral
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Circle Theorem: Angles in a cyclic quadrilateral

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This lesson follows lessons on the circle theorems involving angles from the same arc, angle at the centre and angles in a semicircle. The lesson has a series of worked examples followed by a worksheet which can be used in class or as a piece of homework.
Dividing into a given Ratio
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Dividing into a given Ratio

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Due to COVID the way we teach has altered somewhat. These days I find it easier to have my examples preprinted with students filling in the gaps between examples in class with the aid of the teacher at the front. A workbook is then provided which allows the student to answer directly in the book. Furthermore at home students can access a video example or two with the QR code on the front of the workbook (just in case they are struggling at home) Answers are provided and also answers to the examples
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.
GCSE Mathematics revision booklets
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GCSE Mathematics revision booklets

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These GCSE Mathematics revision booklets are aimed at KS4 students who are independently revising for their GCSE. The front cover of each booklet can be scanned with a phone which will then upload a video to be watched. The student is then in a better position to attempt the material inside each booklet. Topics included are 3d Trig & pythagoras Algebraic Fractions Angles in a polygon Arc Length & Area of a sector Area under a curve Best Buys Calculating the mean Change of subject Circle theorems Completing the square Composite & Inverse functions Compound measures Cubics Cumultative frequency Density Mass Volume Direct & Inverse proportion Drawing graphs Equation of a line Error bounds Expanding & Factorising quadratics Forming equations Fractions HCF, LCM & Prime factors Histograms Inequalities Iterative formula Indices Perpendicular lines & Tangents Probability tree Quadratic sequences, formula & inequalities Ratio Recurring decimals Reverse percentages Trigonometry Simultaneous equations linear & quadratic Standard form Surds Transformations Volume
Paper 2 Mathematics Papers for Foundation & Higher
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Paper 2 Mathematics Papers for Foundation & Higher

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Here are two papers for mathematics examinations aimed at calculator for foundation and higher. These papers can not be obtained by students on the internet. Hence are ideal for end of term (or year) assessments. Solutions are included.
Spreadsheets to accompany the Three Mathematics papers
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Spreadsheets to accompany the Three Mathematics papers

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These two spreadsheets have been completed with the three uploaded papers in mind. There are instructions on how to use the spreadsheet. Once the papers have been marked the students individual scores are placed into the spreadsheet question by question. The teacher can then glance to see which topics are class issues and which topics are just problem areas for one or two. There is also the facility to print out an overview per student. Each individual question is RAG rated so that it is easy to identify incorrect answers, partially correct answers and full marks. As I said the spreadsheet is aimed at the three papers I have posted. However it can be modified for other papers used in class. Simply replacing the listed topics an max mark allocation allows the spreadsheet to be used for papers you create or use.
GCSE 9-1 : Maths Assessment revision Bundle
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GCSE 9-1 : Maths Assessment revision Bundle

4 Resources
A total of six GCSE Mathematics examination papers and solutions. Three foundation papers Three Higher papers with overlap from the foundation. Making it easier to assess movements between sets. The bundle also includes a spreadsheet which makes it easier to 1. collate all the students data 2. identify student weakness either individually, as a class or as a department. 3. give thorough feedback to individual students regarding topics and overall progress. Finally these questions are not available to students on the internet. Hence no chance of them cheating the night before! Finally the spreadsheet RAG rates each question per student.
Geometric Mean and Index numbers
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Geometric Mean and Index numbers

(1)
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.
Perpendicular Lines
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Perpendicular Lines

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This lesson is used to introduce students to perpendicular lines. Finding the gradient of a perpendicular line and the equation of such lines. The lesson is followed with a worksheet which can be used in class or as a piece of homework. Answers are included.
Frequency Polygon & Cumulative Frequency Revision
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Frequency Polygon & Cumulative Frequency Revision

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This revision lesson reminds students how to draw both Frequency polygons and cumulative frequency curves. This is done through both worked examples and a few for them to have a go at before checking answers at the board. The lesson also reminds students how the median and Interquartile range are found from the cumulative frequency curve.
Factorising & Removal of brackets Revision
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Factorising & Removal of brackets Revision

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This powerpoint can be used over two or three lessons as revision for removal of one bracket, two brackets and three brackets. Also it can be used to revise factorising through the use of one bracket, two brackets. Each section consists of two or three worked examples followed by several questions for the students to answer. I get the students to copy down the worked examples as we work through them and then they are left to attempt the given questions before we run through the solutions at the board. All answers are given.
Compound Errors
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Compound Errors

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This lesson is a continuation form the lessons on Discrete and continuous errors (available from the shop for free) The lesson looks at errors further created when quantities are put together through either using the for rules of number or in additional formula work. As well as the PowerPoint lesson there is a worksheet and answers for the students to attempt either in class or as a piece of homework.
Mathematics Worksheet generator
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Mathematics Worksheet generator

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This spreadsheet is set up to produce nine questions for students to answer on a variety of foundation topics. The spreadsheet also generates the answers. To generate a new list simply alter week 1 for week 2 etc and a new sheet is generated. That is the numbers are replaced or a different algebraic expression is generated. The topics on this sheet include: Dividing into a given ratio Multiplying fractions together nth term of a linear sequence collection of like terms solving simple equations decimal conversions metric conversions decimal multiplication
Mathematics Sequences worksheet generator
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Mathematics Sequences worksheet generator

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This spreadsheet will generate infinite worksheets for either linear sequences or quadratic sequences. The spreadsheet will also provide the answers. Once the sheet is generated print the sheet. The cover the answers and send the font to white (this hides the answers) print this sheet. Repeat for newly generated worksheets. Alternatively the spreadsheet can be projected onto the board and students answer from the board. Then at an appropriate time the answers can be shown by changing the column hiding the answers back to black font.
Drawing other standard graphs
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Drawing other standard graphs

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This lesson is a follow on from the lessons involving drawing the quadratic curve. The lesson consists of a couple of worked examples on drawing standard curves, followed by information about some standard graphs and their shape. The lesson also has an worksheet for students to tackle in class or as a piece of homework.
Area of irregular shapes
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Area of irregular shapes

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This lesson is designed for irregular shapes which makes use of students knowledge of rectangles and triangles. The lesson consists of many worked examples plus a worksheet.
GCSE Maths : Factorising trinomials
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GCSE Maths : Factorising trinomials

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This lesson has been used over the years as an introduction to factorising initially the basic trinomials before looking at the more complicated trinomials. The lesson also consists of a worksheet with solutions for students to attempt in class or as a piece of homework.
Transformations of graphs Introduction
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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.