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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.
GCSE Maths : Area & Volume Ratio
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GCSE Maths : Area & Volume Ratio

(1)
This powerpoint presentation introduces students to the understanding of area ratio and volume ratio when considering similar shapes. Through a series of worked examples students become more confident with answering such questions. The lesson concludes with a worksheet which can be answered in class or given as a homework.
Handling Data Revision booklet
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Handling Data Revision booklet

(1)
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 GCSE Maths Questions worksheets 7 & 8
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A Dozen GCSE Maths Questions worksheets 7 & 8

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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 higher level new GCSE specification. Answers are also attached. A great way to identify whether students are solid on the topics selected.
Flow diagrams
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Flow diagrams

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This is a lesson I usually use for year 7 or low ability classes in year 8 or 9. The aim of the lesson is to demonstrate how we change the symbols when working backwards. I teach this lesson before I move onto the solving of simple equations. After the worked examples there is a worksheet which students can complete in class or as a piece of homework.
Differentiation by first principles
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Differentiation by first principles

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This is a second lesson on this topic. This method approaches the topic using f(x) and f(x+h). The worksheet can be given to the students in the form “y = " or as " f(x) =”, depending on the exam board used.
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.
Relative Frequency
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Relative Frequency

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The set contains a worked set of examples in a PowerPoint. There is also a printable set of the examples which might be used in class where students copy the worked solutions as and when delivered by the teacher. The Powerpoint is then followed by a small workbook of seven questions which can easily by sent as an A5 booklet to most printers. The lesson should last up to 1 hour dependent on where you have the students copy out the examples in their entirety or print the prepopulated examples.
GCSE Maths KS4 : Error Bounds revision
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GCSE Maths KS4 : Error Bounds revision

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This revision lesson looks at error bounds at the higher level. Through worked examples and questions for the students to answer, students are able to recap this topic before their official examination.
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.
GCSE Mathematics Revision cards
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GCSE Mathematics Revision cards

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These revision cards are designed for both higher level and foundation level for KS4 GCSE mathematics grades 9 to 1. Each card has a topic explanation and a QR code which takes the students to a video related to that topic. Ideal for any student revising for Mathematics at home or in the classroom. Personally I have each slide printed and on the wall as a group of four. additionally I have printed them out and cut them into individual cards placed in an envelope for students to use at home whilst revising.
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
GCSE Mathematics KS4: Stem & Leaf Diagrams
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GCSE Mathematics KS4: Stem & Leaf Diagrams

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This lesson and worksheet teaches students how to draw a stem and leaf diagram and also how it can be used to calculate the median and range. As a bonus I have also included an Excel worksheet Generator which allows you to create an infinite number of worksheets on stem & leaf for those who require additional practice. The lesson is mainly aimed at key stage 4 students studying GCSE mathematics, however it can also be used in any key stage 3 maths lesson. (Note available for Both PC and Mac)
GCSE Mathematics : Exact Trig Values
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GCSE Mathematics : Exact Trig Values

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This lesson teaches students the exact trig values for the sin cos and tan of 30, 45, 60 and 90 degrees. The lesson shows two ways to remember the values by either table or triangles. The lesson is also accompanied with several worksheets. The idea being that one worksheet is given at the end of teaching the lesson for students to demonstrate what they now know. Then throughout the year or two further worksheets can be given to check on them retaining the information taught.
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
GCSE Graded Resources
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GCSE Graded Resources

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Due to the COVID 19 pandemic and recent lock downs, I have designed a series of graded worksheets which can be used to identify gaps in students work throughout the grades. This first batch looks at the material which should cover most topics in the Foundation Tier, graded from 1 to 5. There are approximately 3 to 4 sheets for each grade (with answers). The idea is that a student is given a grade 1 sheet to complete. Once marked and reviewed, the class teacher can then identify class issues, individual student issues and revise accordingly. The a second grade 1 sheet can be given to see if there is improvement. This can be completed for a third and sometimes a forth time. The same approach is then given to grades 2, 3, 4 and 5. This can also be used to seek what worked in lock down with on line learning and what did not.
Decimals
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Decimals

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Suitable for both KS2 and KS3 students. 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. Note: I tend to print the examples as A4 and the workbook as an A5 booklet. Lesson 1: Examples and workbook on Decimal place value. Lesson 2: Examples and workbook on Addition of decimals Lesson 3: Examples and workbook on Subtraction of decimals Lesson 4: Examples and workbook on Multiplication of decimals The examples are also available to buy as a PowerPoint lesson on the shop.
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.
Constructing Triangles
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Constructing Triangles

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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.