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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.
Venn Diagrams & Probability
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Venn Diagrams & Probability

(1)
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.
Revision questions for New GCSE Mathematics
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Revision questions for New GCSE Mathematics

(1)
These examination papers have been written in the style of the new GCSE Mathematics Papers. There are 41 questions and Answers helping students revise Algebraic Fractions Arc length and Area of a sector Area under the graph Calculating the mean Completing the square Composite and Inverse functions Compound Percentage questions.
Scatter Diagrams
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Scatter Diagrams

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This lesson and worksheet I have used as an introduction to scatter diagrams. Through worked examples students learn how to draw a scatter diagram, draw a line of best fit and use the line of best fit to answer further questions. The worksheet can then be used as a piece of classwork or as a piece of homework. Answers are included. New addition to this lesson: Printable two example sheet and Printable four page booklet containing three questions. The new addition was created during COVID times to ensure that students covered as much work as possible during school time. The two worked examples (worked through at the board) ensured that students moved onto the set questions quicker. The three question booklet was also a quick way to assess whether the students understood what was taught.
Paper 2 Mathematics Papers for Foundation & Higher
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Paper 2 Mathematics Papers for Foundation & Higher

(1)
Here are two papers for mathematics examinations aimed at 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.
Paper 3 Mathematics Papers for Foundation & Higher
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Paper 3 Mathematics Papers for Foundation & Higher

(1)
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.
GCSE Revision Lessons: Transformations & Fractions
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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 & division of..
Probability Tree revision lesson
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Probability Tree revision lesson

(1)
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 "branches" 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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Perpendicular Lines

(1)
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.
A Dozen GCSE Maths Questions worksheets 5 & 6
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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
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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.
Laws of Indices: Algebraic Introduction
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Laws of Indices: Algebraic Introduction

(1)
This lessons introduces the younger students to the first three laws of indices. Through worked examples students develop their understanding of the quick methods used. The lesson is backed up with a worksheet which can be completed in class or as a piece of homework. I used this lesson with a very low ability year 8 class this week and it worked really well.
A Dozen GCSE Maths Questions worksheets 9 & 10
sjcoopersjcooper

A Dozen GCSE Maths Questions worksheets 9 & 10

(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 worksheet 3 & 4
sjcoopersjcooper

A Dozen GCSE Maths Questions worksheet 3 & 4

(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.
Proportion
sjcoopersjcooper

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
Angles in a polygon
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Angles in a polygon

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This is a lesson which demonstrates to students the sum of the angles in a variety of polygons through the knowledge of the angles in a triangle. The lesson then looks at a method of finding the interior and exterior angles of regular polygons. This resource also contains a worksheet for either classwork or homework (answers to follow!)
GCSE Foundation Mathematics Revision  Game
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GCSE Foundation Mathematics Revision Game

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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. For this run around calculators are placed on the table for questions 1 to 4 and table for questions 13 to 16 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!
Simultaneous equations with one linear and one quadratic equation.
sjcoopersjcooper

Simultaneous equations with one linear and one quadratic equation.

(1)
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)
Right Angled Trigonometry
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Right Angled Trigonometry

(1)
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.