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ReallyUsefulMaths

Average Rating4.08
(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.
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.
GCSE Pythagoras & Trigonometry Revision Lessons
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GCSE Pythagoras & Trigonometry Revision Lessons

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These lessons included in this resource revise Pythagoras Theorem, the knowledge of Right Angled Trigonometry, the knowledge of the sine rule cosine rule and 3D trigonometry. Accompanied with the lessons are worksheets for students to attempt in class or as homework. Plenty of revision for all types of students Foundation or Higher Tier.
GCSE Maths KS4 : Error Bounds revision
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GCSE Maths KS4 : Error Bounds revision

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This revision lesson looks at error bounds at the higher level. Through worked examples and questions for the students to answer, students are able to recap this topic before their official examination.
GCSE Maths : Inequalities Revision KS4
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GCSE Maths : Inequalities Revision KS4

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This series of work is designed to revise inequalities with both Foundation and higher level students looking at solving the simplest of inequalities up to the more complicated quadratic inequalities. The PowerPoint is backed up with worksheets and I have included the worksheet Generator. (simply hit F9 on the computer and new worksheets are generated)
GCSE Mathematics Revision cards
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GCSE Mathematics Revision cards

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These revision cards are designed for both higher level and foundation level for KS4 GCSE mathematics grades 9 to 1. Each card has a topic explanation and a QR code which takes the students to a video related to that topic. Ideal for any student revising for Mathematics at home or in the classroom. Personally I have each slide printed and on the wall as a group of four. additionally I have printed them out and cut them into individual cards placed in an envelope for students to use at home whilst revising.
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
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.
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.
Algebraic Problems involving Angles
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Algebraic Problems involving Angles

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This lesson and worksheets looks at algebraic problems which involve constructing equations based on the knowledge of either angles in a triangle angles in a quadrilateral ands associated with parallel lines angles in a parallelogram angles associated with circle theorems. There are two worksheets to backup the worked examples. The second worksheet is similar to the first just in case you need a review and want student to "have another go" Solutions are provided.
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.