# ReallyUsefulMaths

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(based on 154 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.

#### Fractions, Proportion & percentage questions

(7)
Resource with fractions, proportion and percentages. Resource includes worked examples followed by questions, also includes answers. The lesson also includes a worksheet which students could use in class or complete as a piece of homework. This resource should last a full hours lesson or more. This resource is also very useful for students that struggle answering questions involving both fractions and percentages or fractions and ratio in the same question.

#### Percentages

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Free worksheets on Percentages including Percentages of a quantity without a calculator Percentages of a quantity with a calculator Expressing as a percentage Compound measures These worksheets have been generated using the spreadsheet available in the shop link below: https://www.tes.com/teaching-resource/percentages-11809260 Generate as many as you like!

#### Index Notation

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These lessons and worksheets look at the rules required at GCSE for index notation. The lessons cover both the algebraic situations seen at GCSE and numerical problems. The worksheets have solutions attached.

#### Converting Fractions or Decimals into Percentages

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This short lesson I use with KS2/KS3 students when looking at converting Fractions into Percentages or Decimals into Percentages. The lesson is accompanied with a Worksheet for students to answer in class or as a piece of homework. It demonstrates the style I use in class which is to work through examples in class with students pitching in ideas of how to answer the question along the way. Followed by the student then tackling questions on their own. My shop is full of lessons like this (however longer than this lesson). Hence a bought lesson will give you plenty of worked examples as board work with a worksheet to conclude, lasting the student beyond your lesson. The shop is https://www.tes.com/teaching-resources/shop/sjcooper

#### Probability Tree diagrams

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This worksheet can be used by students who have just been taught how to draw and complete a Probability tree diagram. I have a PowerPoint containing worked examples, which I use with this worksheet. This PowerPoint is available to purchase. On completing the PowerPoint students can then demonstrate their new skills with this worksheet. The answers to this worksheet are included with the said PowerPoint. follow the link below https://www.tes.com/teaching-resource/probability-tree-diagrams-11225929

#### A Dozen Questions

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This worksheet can be used as a lesson check or piece of homework. It is designed so that the student or teacher can identify from the twelve topics which they CAN do and which topics need further work. The piece of work has been designed with the new GCSE grading 1 to 9 in mind. Also available from the shop is a gross of higher level questions https://www.tes.com/teaching-resource/a-dozen-11481534 And more dozen questions for the foundation range labelled 2, 3, 4 and 5.

#### A Dozen questions Foundation level

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This worksheet can be used as a lesson check or piece of homework. It is designed so that the student or teacher can identify from the twelve topics which they CAN do and which topics need further work.

#### Finding the equation of a straight line revision.

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This revision lesson is aimed at higher level students and looks at finding the equation of a straight line and also finding the equations of lines perpendicular to other lines. The lesson consists of both worked examples and questions for the students to answer. The lesson should last approximately one hour. However the extras could take that up to many hours!

#### Transformations Reflections

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A lesson teaching students how to reflect in a given mirror line, including work on the xy axis. Lesson also contains a worksheet for students to work through in class or as a piece of homework.

#### Standard Form revision

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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

#### A dozen Questions 2

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As a follow up to the dozen questions already available her is another 12. The questions are designed with the new GCSE grading 1 to 9 in mind. Answers are also provided. A dozen questions worksheets 3 and 4 are also available through the shop.

#### 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.

#### Unitary Methods for direct and Inverse proportions

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These two lessons have worked examples which demonstrate the methods used for direct proportion and Inverse proportion. Attached to each lesson is a worksheet which can be printed out for students to either answer in class or as a piece of homework.

#### Arithmetic Progressions

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This lesson furthers a students knowledge from GCSE of the arithmetic progression. It introduces the students to a formula used for the nth term and has a proof for the sum of n term. The lesson then has a series of worked examples.

#### New GCSE Test Material grades 6 & 7

4 Resources
These tests can be used to check whether students have met the standards required for topics which have been labelled as grade 6 or 7 in the new GCSE. Clearly I have listed which topics are tested and students are given this list in advance so that they can revise the highlighted topics. The idea is that students will answer the questions on paper and/or graph paper.

#### Algebraic Fractions

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This lesson consists of a powerpoint of worked examples, which demonstrate how Algebraic fractions are simplified. The collection contains examples of factorising numerator and denominator before cancelling common factors and also includes multiplying and dividing algebraic fractions. The lesson also contains a worksheet, with answers.

#### GCSE Maths : Area & Volume Ratio

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This powerpoint presentation introduces students to the understanding of area ratio and volume ratio when considering similar shapes. Through a series of worked examples students become more confident with answering such questions. The lesson concludes with a worksheet which can be answered in class or given as a homework.