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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.
Enlargements
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Enlargements

(1)
These two lessons are used with younger students to introduce Enlargements. The first lesson looks at enlarging shapes with the use of ray lines and compasses. The second lesson looks at the type often seen in the GCSE examination where the enlargement takes place on a set of xy axes.
Complex Numbers
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Complex Numbers

4 Resources
A group of lessons which cover the contents required to cover complex numbers for most A level courses.
Probability: Rules of
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Probability: Rules of

(0)
This lesson makes use of the Venn diagram and introduces students to the probability of A union B and A intersection B. The students then make use of these formulae in other examples.
Transformations: Enlargements with a negative scale factor
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Transformations: Enlargements with a negative scale factor

(0)
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.
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.
Angles in a polygon
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Angles in a polygon

(1)
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!)
Constructing Triangles
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Constructing Triangles

(1)
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.
Vectors Introduction
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Vectors Introduction

(1)
These two lessons are my first two lessons introducing students to a vector. The definition of a vector quantity and knowledge of position vectors, column vector, magnitude of a vector and collinear points. Also through a variety of examples students learn how vectors are used.
GCSE Higher level Mathematics revision game
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GCSE Higher level Mathematics revision game

(0)
GCSE Higher level Mathematics run around game This activity is aimed at Higher level 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. (For a higher level set this may need printing more than once) 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 Higher level 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!
Algebraic Long Division
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Algebraic Long Division

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This lesson introduces students to long division for algebraic fractions. I usually teach this lesson before the lessons on factor and remainder theorem.
Paper 1 Mathematics papers for Foundation & Higher
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Paper 1 Mathematics papers for Foundation & Higher

(1)
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.
Circle Centre (0,0) radius r
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Circle Centre (0,0) radius r

(1)
This lesson introduces the students to the circle centre (0,0) radius r. Worked examples look at tangency to the circle and points of intersection.
The Definite integral
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The Definite integral

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Following on from the lesson on indefinite integral. This lesson looks at the limits attached to a given integral.
GCSE 9-1 : Maths Assessment revision Bundle
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GCSE 9-1 : Maths Assessment revision Bundle

4 Resources
A total of six GCSE Mathematics examination papers and solutions. Three foundation papers Three Higher papers with overlap from the foundation. Making it easier to assess movements between sets. The bundle also includes a spreadsheet which makes it easier to 1. collate all the students data 2. identify student weakness either individually, as a class or as a department. 3. give thorough feedback to individual students regarding topics and overall progress. Finally these questions are not available to students on the internet. Hence no chance of them cheating the night before! Finally the spreadsheet RAG rates each question per student.
Types of roots : The Discriminant
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Types of roots : The Discriminant

(0)
This lesson looks closer at the value b^2 - 4ac and the types of roots the outcome would suggest. The lesson then looks at more algebraic problems.