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ReallyUsefulMaths

Average Rating4.11
(based on 168 reviews)

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.
Cubics: Expanding and factorising
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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.
General GCSE Maths grade 1 to 3 revision
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General GCSE Maths grade 1 to 3 revision

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This revision lesson I put together based on material I found most year 11 foundation students were struggling with. The revision mainly focuses on the students ability to apply the four rules of number to some literacy based question. The second revision lesson I have added is on number machines as I found that students were fine with using the number machine one way but poor on reverse. Hence practice makes perfect!
Christmas End of Term Games
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Christmas End of Term Games

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These activities are aimed at key stage 3 students. They could also be used as revision for GCSE students. The pack contains GCSE foundation style questions including standard form, ratio, number work, fractions, algebra and much more. Answers are included. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table Put students into pairs (either by choice or teacher selection) Each 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 each set of questions. The exercise should take no longer than 30 minutes At the end students remain at their final table and swap answer sheets with the nearest table. Go through each question with the class before revealing the answers. Finally, students ad up their score and the highest score gets a prize! This exercise gives students a chance to try GCSE style foundation questions and see a demonstration on how they should be answered.
Circle Theorem: Angles in a cyclic quadrilateral
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Circle Theorem: Angles in a cyclic quadrilateral

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This lesson follows lessons on the circle theorems involving angles from the same arc, angle at the centre and angles in a semicircle. The lesson has a series of worked examples followed by a worksheet which can be used in class or as a piece of homework.
GCSE Mathematics revision booklets
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GCSE Mathematics revision booklets

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These GCSE Mathematics revision booklets are aimed at KS4 students who are independently revising for their GCSE. The front cover of each booklet can be scanned with a phone which will then upload a video to be watched. The student is then in a better position to attempt the material inside each booklet. Topics included are 3d Trig & pythagoras Algebraic Fractions Angles in a polygon Arc Length & Area of a sector Area under a curve Best Buys Calculating the mean Change of subject Circle theorems Completing the square Composite & Inverse functions Compound measures Cubics Cumultative frequency Density Mass Volume Direct & Inverse proportion Drawing graphs Equation of a line Error bounds Expanding & Factorising quadratics Forming equations Fractions HCF, LCM & Prime factors Histograms Inequalities Iterative formula Indices Perpendicular lines & Tangents Probability tree Quadratic sequences, formula & inequalities Ratio Recurring decimals Reverse percentages Trigonometry Simultaneous equations linear & quadratic Standard form Surds Transformations Volume
A Dozen GCSE Maths Questions worksheets 9 & 10
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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.
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.
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.
Transformations
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Transformations

5 Resources
Four lessons designed for key stage 3 but could be used earlier or as revision at key stage 4. Bundle contains lessons on Reflections, Rotations, Enlargements and Translations
Proportion
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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
Probability: Rules of
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Probability: Rules of

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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.
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.
Transformations: Enlargements with a negative scale factor
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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.
Introduction to the Mode & Median
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Introduction to the Mode & Median

(1)
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.
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!
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.