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ReallyUsefulMaths

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(based on 167 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.
GCSE Maths : Volume & Surface area revision KS4
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GCSE Maths : Volume & Surface area revision KS4

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These revision lessons are designed for students studying GCSE mathematics and cover the following: Volume of a prism Volume of a sphere Volume of a pyramid Volume of a cone Surface area of a cuboid Surface area of a cone Surface area of a cylinder
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
Dividing into a given Ratio
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Dividing into a given Ratio

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Due to COVID the way we teach has altered somewhat. These days I find it easier to have my examples preprinted with students filling in the gaps between examples in class with the aid of the teacher at the front. A workbook is then provided which allows the student to answer directly in the book. Furthermore at home students can access a video example or two with the QR code on the front of the workbook (just in case they are struggling at home) Answers are provided and also answers to the examples
The sigma Notation and Difference Method
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The sigma Notation and Difference Method

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These two lessons cover the introduction to the sigma notation and a lesson on the Difference method. The method of difference is an alternative to the proof by induction.
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.
Bar Charts
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Bar Charts

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This lesson I usually teach to the younger students. I prefer to drawn horizontal bar charts as the labelling is much easier to represent. However there are examples of vertical bar charts in the powerpoint and worksheet. One of the slides is designed to carry out a tally chart in class. Once the tally has been collected you can place the information into the next slide and a horizontal bar chart for the live data will be presented.
Angles in a Polygon Revision lesson
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Angles in a Polygon Revision lesson

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This lesson is designed for my Key stage 4 classes. Through a series of worked examples the class revise how to find the number of sides for a regular polygon or the size of interior and exterior angles. Plus further problems. The lesson also contains a worksheet with solutions.
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.
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.
GCSE Foundation Revision game 3
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GCSE Foundation Revision game 3

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GCSE Foundation Run around game 3 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. 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!
GCSE Foundation Run around game 4
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GCSE Foundation Run around game 4

(0)
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. 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!
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.
A dozen questions foundation 4&5
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A dozen questions foundation 4&5

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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 Grades (1 - 5). Answers are also attached. A great way to identify whether students are solid on the topics selected.
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.