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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.
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.
Standard Integrals concluded
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Standard Integrals concluded

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This second lesson on standard integrals includes the knowledge of integration of trig functions and the use of the "1/a" notation. Worksheet is included fir students to attempt in class or as a piece of homework.
Parametric's : Tangents & Normals
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Parametric's : Tangents & Normals

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This lesson draws together two earlier lessons. One on Tangents and normals to a curve. The second on Parametric Differentiation. The lesson consists of a few worked examples.
Direct & Inverse Proportion Revision
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Direct & Inverse Proportion Revision

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This revision lesson looks at the ability to answer a variety of questions related to direct or inverse proportion. As with the other revision lessons in the shop, the lesson is constructed with multiples of two worked examples before students attempt some similar questions. Answers are provided.
Mathematics Easter egg hunt
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Mathematics Easter egg hunt

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Mathematics Games to play close to Easter. A series of Mathematics games that can be played in the classroom or even placed around the school play ground for break and lunchtime activities. Each game consists of twelve questions written onto twelve pictured easter eggs. The idea is that the students know the starting card but initially have no idea of the last card. The aim of the game is to answer the questions in the correct order thereby revealing a code. The student can then submit the correct code to the teacher and maybe receive a reward of some kind! The games consist of : Addition Addition & Subtraction Multiplication Long Multiplication Fractions of a quantity Percentages of a quantity Solving algebraic equations
GCSE Revision: Simultaneous equations
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GCSE Revision: Simultaneous equations

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This revision lesson looks at solving simultaneous equations through the process of elimination. As with the other revision lessons, the lesson consists of a number of worked examples with questions for students to answer embedded throughout the lesson. Duration is approximately two hours.
Circle Theorem: Angles in a semicircle
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Circle Theorem: Angles in a semicircle

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This lesson and worksheet looks at the knowledge of the angles contained in a semicircle. This is done through worked examples followed by a worksheet for students to attempt.
The 3 by 3 Matrix
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The 3 by 3 Matrix

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This lesson introduces the students to the 3 x 3 matrix. Students learn how to calculate the determinant, the adjugate and hence the inverse of a 3 x 3 matrix.
Functions
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Functions

4 Resources
The bundle covers the function work on the new GCSE. Looking at composite functions, inverse functions and transformations of graphs.
Iterative Formulae
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Iterative Formulae

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This lesson teachers students about the iterative formula. The ability to identify why there is a root between two points. The ability to generate an iterative formula. The presentation also demonstrates that not all iterative formulae work. The lesson follows with a worksheet for the students to attempt either in class or as a piece of homework. Answers are included.
Probability: Set theory & Venn diagrams
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Probability: Set theory & Venn diagrams

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This lesson is used to ensure that all students are aware of the notations used in a Venn diagram and the notations that will be used in more Advanced probability work.
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.
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!
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.
GCSE Mathematics revision
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GCSE Mathematics revision

7 Resources
These resources can be used for revision with year 10 or year 11 students whilst at the same time being fun! Likewise the foundation set can be used with students in year 9 and possibly year 8 towards the end of year. Each game consists of 24 questions. Each table has a theme, such as Handling Data or Percentages or trigonometry, etc…
Moving Coins
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Moving Coins

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This is an investigation I used to use in the early 1990's when coursework was all the rage! Ideal task for end of term. Keeps the students still focused and on task.
Weekly GCSE Mathematics Mini Test
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Weekly GCSE Mathematics Mini Test

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This series of over 20 tests (and answers) helps students retain the ability to answer questions on a range of topics. The topics consist of Dividing into a given ratio nth term of a linear sequence Converting decimals into fractions Fractions (add, multiply and divide) Area of triangles, rectangles and circles Converting between mm, cm, m and km Collecting like terms. Removing brackets Solving simple equations Multiplying decimals Percentages of a quantity Expressing as a percentage Compound percentages Probability of a single event. Probability of two events when two spinners are spun Distance/Speed/Time Density/Mass/Volume