# 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.

#### 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.

#### 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.

#### The sigma Notation and Difference Method

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These two lessons cover the introduction to the sigma notation and a lesson on the Difference method. The method of difference is an alternative to the proof by induction.

#### Transformations: Enlargements with a negative scale factor

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This lesson teaches students how to deal with enlargements involving negative sale factors. The lesson consists of several worked examples followed by a worksheet for students to answer either in class or as a piece of homework. Answers are included.

#### Paper 3 Mathematics Papers for Foundation & Higher

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Here are two papers for mathematics examinations aimed at calculator for foundation and higher. This completes at three paper assessment. These papers can not be obtained by students on the internet. Hence are ideal for end of term (or year) assessments. Solutions are included.

#### Right Angled Trigonometry

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Following on from the lessons which introduce trigonometry to students. These two lessons consist of worked examples using the three trig ratios developed in either year 9 or 8. The introduction lessons are in my shop. I have used this lesson with year 10, having already introduced trigonometry to these students in year 9.

#### GCSE Revision Lessons: Transformations & Fractions

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Each revision lessons last approximately an hour each with my classes. I work through the worked examples before students then attempt the set questions. We then discuss the answers and correct any mistakes made. The revision lessons in this collection are Transformations: Describing transformations that have been done. Fractions: Addition, Subtraction, Multiplication &amp; division of..

#### GCSE Mathematics Revision Game 6

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GCSE Run around Game 6 This game is aimed at foundation students who have just been revising certain topics. Topics covered in this game are Sequences nth term Solving equations Dividing into a given ratio Factorising Decimals. 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!

#### Assembly on Remembrance Day

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This is an assembly that I put together for my form to deliver to their year group in assembly. Each student was given a sentence to deliver and the slides were advanced at the appropriate speed. The picture of William and is family was taken in 1915 prior to him leaving to join the battle. William was killed in action in 1917.

#### 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.

#### 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

#### 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.

#### 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.