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ReallyUsefulMaths

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(based on 168 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.
Sequences
sjcoopersjcooper

Sequences

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This series of worksheets looks at sequences. Continuing a sequence, the nth term of a linear sequence and the nth term of a quadratic sequence. I use these worksheets initially to accompany the lessons being taught and then as followup work to help with retention.
Solving Equations
sjcoopersjcooper

Solving Equations

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These worksheets (and answers) look at solving simple equations moving u to solving equations involving a bracket. I use these worksheets initially to compliment the lesson being taught and subsequent worksheets are follow up through out the year to help with retention.
GCSE revision lessons 2
sjcoopersjcooper

GCSE revision lessons 2

14 Resources
This bundle continues with the revision lessons for year 11 students at Higher and/or foundation level. This initial bundle contains roughly 14 hours of revision lessons on Standard Form Percentages of a quantity Properties of a velocity time graph (area under a graph & gradient of a tangent to the curve) Factorising and removing brackets for up to three brackets. Pie charts & Scatter diagrams Inverse & direct proportion Circle problems Simultaneous equations Dividing into a ratio and others...
Dividing into a given Ratio
sjcoopersjcooper

Dividing into a given Ratio

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The series of worksheets and worksheet generator looks at a variety of ratio questions students could meet in the new GCSE examination. The first worksheets look at the more basic dividing into a given ratio. subsequent worksheets look at the more complicated ratio questions that appear on the papers and many students struggle to answer. The reason behind the generated question excel package is that you can generate an infinite number of worksheets. Hence students can have endless practice at this questions. Alternatively you can generate a complete set of different questions so that each member of the class has their own set to answer!
Area of irregular shapes
sjcoopersjcooper

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 revision lessons
sjcoopersjcooper

GCSE revision lessons

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Here is a small group of revision lessons I have recently used for my year 11 students. These have been written with them in mind and cover the types of questions they were struggling with. Generally I tend to go through one or two at the board before they attempt the others. Revision lessons included are Probability tree diagrams Distance speed time Ingredient questions Flow diagrams and some general “wordy” questions that can be troubling for many students.
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.
Cubics: Expanding and factorising
sjcoopersjcooper

Cubics: Expanding and factorising

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With factorising and removing brackets of cubics being new to the GCSE specifications last year I have introduced these two lesson to my class teaching. Starting with removal of brackets students are able to extend from the two brackets situation to the three brackets. The following lesson looks at the more complicated factorising a cubic. Initially starting with the first factor given style of question before looking at factorising with no hint given. Worksheets are given for both lessons which could be used in class or as a piece of homework.
Plans and Elevation
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Plans and Elevation

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This lesson teaches students the what is meant from Plan and Elevation of several solids. The lesson is supported with a worksheet.
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.
Simplifying Surds
sjcoopersjcooper

Simplifying Surds

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This Powerpoint can be used over approximately three lessons. The lessons introduce the knowledge of the surd. The understanding of simplifying a surd or an arrangement using surds and then concludes with the more complicated surd questions we see in the new GCSE structure. The Powerpoint is accompanied with two worksheets and answers, which can be used in class or as a piece of homework.
Fractions of a quantity
sjcoopersjcooper

Fractions of a quantity

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This lesson was used with a Key stage 3 class. we worked through each example using the calculators this time. Another lesson available in the shop addresses finding the fraction of a quantity without a calculator. The class then complete the worksheet in class or as a piece of homework.
Constructing Equations
sjcoopersjcooper

Constructing Equations

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This lesson teaches students, through worked examples, how we construct equations. The lessons quickly moves onto solving the constructed equations. A worksheet is also provided which can be used in class or as a piece of homework. I usually teach this lesson after a series of lessons on solving equations. https://www.tes.com/teaching-resource/introduction-to-solving-equations-11225938
Mathematics GCSE Revision questions grades 3-5
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Mathematics GCSE Revision questions grades 3-5

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These 17 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a regular shape Simplifying algebraic expressions Solving simple equations removal of brackets Finding the percentage of a quantity Expressing as a percentage Compound interest Fractions (add, multiply, divide) Probability of a single event Probability when a spinner is spun twice Dividing into a given ratio Conversion of metric units Distance, Speed, Time Density, Mass, Volume
Mathematics GCSE weekly revision 2
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Mathematics GCSE weekly revision 2

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These 5 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a trapezium Solving equations finding the nth term of a sequence Constructing an equation Prime factors Volume of a cylinder Decimal multiplication Factorising Removal of brackets Pie charts Transformations
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.
GCSE Mathematics 9-1: Sequences: Continuing a sequence, using the nth term and finding the nth term
sjcoopersjcooper

GCSE Mathematics 9-1: Sequences: Continuing a sequence, using the nth term and finding the nth term

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Lesson 1: Continuing a sequence This lesson looks at students being able to continue a sequence from a given rule, or obtaining a pattern from the numbers already given in the sequence. Through worked examples students get their first insight to the work involved with sequences. Lesson 2: Continuing a pattern This lesson concentrates around continuing patterns. Several worked examples look at numerical responses to the patterns generated. I usually teach this lesson after continuing a sequence and before the lesson on using the nth term. Lesson 3: Using the nth term This lesson is always taught after the introduce to continuing sequences. This lesson demonstrates how sequences can be generated by formulae. Also I point out along the way how the sequence going up by a certain number doesn’t imply that we add whatever each time but that it belongs in some way to a particular multiplication table. This, I find, helps with the next lesson on finding the nth term. Lesson 4: Finding the nth term This lesson is mainly about finding the nth term of any linear sequence. Through worked examples students very quickly learn how to find the nth term of sequence such as 5, 8, 11, 14, etc… The lesson also touches on other sequences but through their new found understanding of the linear sequence. This lesson is taught after the lesson on using the nth term and, dependent on age or ability, before the lesson on sequences which involve quadratic solutions. Sequence Workbook This selection of work can easily be printed as an A5 booklet. The booklet consists of questions for students to attempt in class or as a piece of homework and compliment the lessons on sequences I use yearly.
Christmas activities bundle
sjcoopersjcooper

Christmas activities bundle

6 Resources
Ideal Mathematics topics with a Christmas theme for the end of term, whilst still being educational. Good to motivate all students of all ages in the last two weeks of term. This work is suitable for both KS2 and KS3 students and also GCSE students studying Foundation Mathematics.
GCSE Mathematics KS4: Stem & Leaf Diagrams
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GCSE Mathematics KS4: Stem & Leaf Diagrams

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This lesson and worksheet teaches students how to draw a stem and leaf diagram and also how it can be used to calculate the median and range. As a bonus I have also included an Excel worksheet Generator which allows you to create an infinite number of worksheets on stem & leaf for those who require additional practice. The lesson is mainly aimed at key stage 4 students studying GCSE mathematics, however it can also be used in any key stage 3 maths lesson. (Note available for Both PC and Mac)