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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.
GCSE Mathematics revision booklets
sjcoopersjcooper

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 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
sjcoopersjcooper

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.
Ratio & Proportion
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Ratio & Proportion

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These 5 lessons introduce students to Ratio and proportion. Lesson 1: Simplifying a ratio and expressing a ratio as a fraction Lesson 2: Expressing as a ratio and simplifying Lesson 3: Dividing into a ratio using the totals in ratio Lesson 4: Dividing into a ratio using one of the given parts Lesson 5: Dividing into a ratio when using the difference between two ratios or the sum of some parts. Each lesson consists of a PowerPoint, printed examples (if preferred ) and a workbook (which I usually print as an A5 booklet). Solutions are given for the workbooks.
Right Angled Trigonometry Workbook
sjcoopersjcooper

Right Angled Trigonometry Workbook

(1)
This workbook can be used with the Power point set. It introduces students to labeling up a triangle. Investigate the Sine ratio, Cosine ratio and Tangent ratio. The booklet has a variety of worksheets for each of these individually before mixing it up a little. The booklet then concludes with students having questions where they have to find the labeled angle. The booklet can be printed as an A5 booklet, which I find is easily placed in their books.
The Cosine Rule
sjcoopersjcooper

The Cosine Rule

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Lesson introduces students to the Cosine Rule formula which can be used for a variety of triangles. The lesson then has a series of worked examples before ending with a a number of questions for students to complete.
Trigonometry
sjcoopersjcooper

Trigonometry

6 Resources
Lessons covering Right angled trigonometry Pythagoras' Theorem the Sine rule and Cosine rule. Plus questions.
Completing the Square & Quadratic Formula
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Completing the Square & Quadratic Formula

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These two lessons cover the topics of completing the square and using the quadratic formula solving quadratics. The worked examples also include a proof of the quadratic formula through completing the square. After a series of worked examples there are questions for the students to complete.
Laws of Logs
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Laws of Logs

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This lesson is designed to firstly demonstrate to students how they can prove the three laws of logs. Then there are several examples which use the laws of logs. The lesson is follow on from the introduction to logs.
Addition of Number worksheet
sjcoopersjcooper

Addition of Number worksheet

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The worksheet can be used in class or as a piece of homework for student to demonstrate their ability to add number together. Students could write on the sheet, however I often have them answer on paper or in their books.
Introduction to Bearings
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Introduction to Bearings

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This lesson introduces students to Bearings. The lesson demonstrates how we measure a bearing through a series of examples. Followed by a number of examples where students will draw bearings. The last set of examples are more detailed with a set of instructions to follow in order to answer the question. The lessons are accompanied with two worksheets which can be completed in class or as a piece of homework.
The Parabola
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The Parabola

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This lesson looks at the Parabola from a Geometric point of view. Sketching the curve from knowing the vertex and key coordinates. The examples also involve some algebraic operations involved with the parabola.
Hyperbolic Functions
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Hyperbolic Functions

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This lesson introduces students to the understanding of Hyperbolic functions through a series of worked examples. Including the curves.
Reverse Percentages
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Reverse Percentages

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This lesson demonstrates to students how we can find the original amount when a percentage has already been added on or subtracted off.
R Alpha Method
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R Alpha Method

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This lesson introduces students to the R Alpha method. It is expected that the compound angles have been taught first. This lesson calls upon that knowledge and shows how this method is useful in a variety of situations.
Circular Measures: Radians, Arc length and area of a sector
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Circular Measures: Radians, Arc length and area of a sector

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This lesson introduces students to the angle measure the Radian. There is a quick proof of the Area of a sector and arc length formulae. Followed by several worked examples on the use of these formulae. It is expected that students would have met the area of a triangle formula in trigonometry before this lesson.
Arithmetic Progressions
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Arithmetic Progressions

(1)
This lesson furthers a students knowledge from GCSE of the arithmetic progression. It introduces the students to a formula used for the nth term and has a proof for the sum of n term. The lesson then has a series of worked examples.
Solving Equations (more complicated)
sjcoopersjcooper

Solving Equations (more complicated)

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This lesson has a series of worked examples showing students how to solve more complicated linear equations and also quadratics. The lesson has been used in the past for year 12 students in September. However it can also be used for the more complicated questions required in year 11 work.
New GCSE Grade 7 material: Test 1
sjcoopersjcooper

New GCSE Grade 7 material: Test 1

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This is a Test I will use to check whether my students have met the standards required for topics which have been labelled as grade 7 in the new GCSE. Clearly I have listed which topics are tested and students are given this list in advance so that they can revise the highlighted topics. More tests will follow as I prepare them and then bundles will become available.