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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.
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.
Paper 2 Mathematics Papers for Foundation & Higher
sjcoopersjcooper

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.
Types of roots : The Discriminant
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Types of roots : The Discriminant

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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.
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.
The indefinite integral
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The indefinite integral

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This lesson follows the lessons taught on differentiation. The opening slide introduces integration as the reverse of differentiation. Then through a variety of examples students get used to integration.
Touching circles
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Touching circles

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This is the third of three lessons on circles aimed at Advanced level. This lesson looks at circle touching externally or internally.
Circle Centre (a, b) radius r
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Circle Centre (a, b) radius r

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This lesson is the second of three lessons on circles. Extending from the circle with centre (0,0) this lesson looks at obtaining the equation of the circle when the centre is elsewhere and a variety of other examples.
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.
Circle Centre (0,0) radius r
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Circle Centre (0,0) radius r

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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.
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.
Vectors Introduction
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Vectors Introduction

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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

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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!
Multiplication Tables Game
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Multiplication Tables Game

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Snap or Pairs Here is a printable set of cards which can be used for one of two games. Snap The 54 cards are shuffled and divided equally between two students. Students then turn the cards up one at a time and work out the multiplication (or division) on that card. If that card matches the card on top of another player’s pile, the player who says “snap” first wins the pile of cards. The winner is the person who ends up with the entire pile of cards. Or if you choose to end the game earlier, the player with the most cards. Pairs Alternatively, all 54 cards are placed face down. Players then take it in turns to turn over two cards and work out the value for each card. If the two cards have matching answers the player puts the two cards in front of them as winning cards. This process is continued until all cards have been matched. The winner of the game is the person with the most cards in front of them.
GCSE Algebra revision guide
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GCSE Algebra revision guide

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This document is a revision booklet I put together for my students over the years. It contains worked examples and notes describing how certain problems are solved.
A dozen questions foundation 2 & 3
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A dozen questions foundation 2 & 3

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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 foundation level new GCSE specification. Answers are also attached. A great way to identify whether students are solid on the topics selected.
Simultaneous equations with one linear and one quadratic equation.
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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)
Introduction to the Mode & Median
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Introduction to the Mode & Median

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This lesson I teach to student in key stage 3 who have never met the definition of the mode or median before. The lesson is accompanied with a worksheet which can be used in class or as a piece of homework.