# 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.

#### 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.

#### 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.

#### A Dozen GCSE Maths Questions worksheets 9 & 10

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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.

#### Proportion

3 Resources
This bundle is a collection of lessons that I tend to use in year 8 or 9 to teach students direct and inverse proportion. Starting with numerical problems before looking at the more algebraic problems that we see at GCSE

#### Venn Diagrams & Probability

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This lesson is demonstrates through worked examples how Venn diagrams can be used to obtain the probability of a given event. The lesson also has a worksheet attached.

#### Paper 1 Mathematics papers for Foundation & Higher

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Here are two papers for mathematics examinations aimed at non 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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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 Foundation Run around game 5

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This activity is aimed at Foundation students who are revising for their GCSE examination. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table. Students are put into pairs (either by choice or teacher selection) and 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 the six tables worth of questions. The answering of the questions takes no more than 30 minutes. Students then remain at their final table, swap their answer sheet with the nearest table and the answers are produced. At this stage I go through the questions before revealing the answers. In this way the students have had a go at GCSE style foundation questions and have also seen a demonstration as to how they should have been answered. Finally, students add up their score and the highest score get a prize!

#### Probability Tree revision lesson

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This revision is pitched mainly at foundation students, however it is also ideal for higher level students. Through worked examples the students revise the fact of multiplying &quot;branches&quot; together in order to obtain an outcome for two event. Further examples look at when there are more than two possible outcomes which would imply we add the solutions together. Nicely broken up for a student who is probably struggling with the grade 5 work. There are also several questions for the students to attempt in-between the examples. Answers are provided.

#### 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.

#### 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.

#### A Dozen GCSE Maths Questions worksheets 7 & 8

(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.

#### 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.

#### 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.

#### Direct Proportion

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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.

#### Constructing Triangles

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Three lessons on how to construct Triangles. Each lesson has a relevant worksheet for students to answer either in class or as a piece of homework. Each worksheet also has a solution sheet. First lesson looks at constructing triangles when given all three sides. Second lesson looks at constructing triangles when given one side and two angles. Third lesson looks at constructing triangles when given two sides and one angle.

#### Simultaneous equations with one linear and one quadratic equation.

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This lesson is taught once students have a firm understanding of solving simultaneous equations through elimination. Through worked examples students learn how to solve simultaneous equations by the substitution method. Further examples demonstrate its use when looking at points of intersection with a curve and a line. The lesson is completed with a worksheet which can be answered in class or as a piece of homework. (Answers are included)