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ReallyUsefulMaths

Average Rating4.09
(based on 171 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.
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.
Algebraic Problems involving Angles
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Algebraic Problems involving Angles

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This lesson and worksheets looks at algebraic problems which involve constructing equations based on the knowledge of either angles in a triangle angles in a quadrilateral ands associated with parallel lines angles in a parallelogram angles associated with circle theorems. There are two worksheets to backup the worked examples. The second worksheet is similar to the first just in case you need a review and want student to "have another go" Solutions are provided.
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.
Transformations of graphs Introduction
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Transformations of graphs Introduction

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These two lessons and worksheets are lessons which cover the translations of graphs and the knowledge of stretching a graph by a given scale factor. The lesson is aimed at the students working out the translation which takes place by initially drawing certain graphs and then linking them the original graph drawn. This is then followed by a series of examples. The second lesson is similar in that the students are encouraged to draw a series of graphs before linking them to the original as a stretch. The lesson then continues with a series of worked examples. Both lessons have a worksheet with solutions.
GCSE revision lessons
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GCSE revision lessons

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Here is a small group of revision lessons I have recently used for my year 11 students. These have been written with them in mind and cover the types of questions they were struggling with. Generally I tend to go through one or two at the board before they attempt the others. Revision lessons included are Probability tree diagrams Distance speed time Ingredient questions Flow diagrams and some general “wordy” questions that can be troubling for many students.
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 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.
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.
3D objects
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3D objects

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Lessons which teach students the properties of Prisms, Pyramids and the Sphere. Including symmetry. This purchase also includes a worksheet for the students to complete.
GCSE 9-1 : A gross of questions for revision at KS4 maths
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GCSE 9-1 : A gross of questions for revision at KS4 maths

7 Resources
This brings together a group of worksheets I’ve been using at school as a means of identifying which topics my higher level students are good at and which topics require further work. It consists of 12 sheets each having 12 questions pitched at the higher level for the GCSE mathematics exam.
Complex Numbers
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Complex Numbers

4 Resources
A group of lessons which cover the contents required to cover complex numbers for most A level courses.
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.
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…
GCSE revision lessons 2
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GCSE revision lessons 2

14 Resources
This bundle continues with the revision lessons for year 11 students at Higher and/or foundation level. This initial bundle contains roughly 14 hours of revision lessons on Standard Form Percentages of a quantity Properties of a velocity time graph (area under a graph & gradient of a tangent to the curve) Factorising and removing brackets for up to three brackets. Pie charts & Scatter diagrams Inverse & direct proportion Circle problems Simultaneous equations Dividing into a ratio and others...
Area & Perimeter
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Area & Perimeter

7 Resources
A collection of PowerPoints on Area of a rectangle, triangle, trapezium and Circle or part circle. The collection also looks at the Perimeter of a rectangle and the circumference of a circle or part circle. Finally there is a collection of worksheets for the above topics.
Angle Properties
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Angle Properties

5 Resources
This series of lessons teaches students how to answer questions involving 1. Angles on a straight line 2. Angles at a point. 3. Vertically opposite angles. 4. Corresponding angles & Alternate angles 5. Angles in a triangle & quadrilaterals
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.
Drawing straight line graphs
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Drawing straight line graphs

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This lesson shows students how to work out the y coordinates for given x coordinates. Then the results are placed onto a given xy axis and the line drawn. The lesson is accompanied with a worksheet for students to answer in class or as a piece of homework.
Area of a circle
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Area of a circle

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A lesson introduces the students to pi. Students work out for themselves with little guidance that pi is approximately 3 or even 3.1. This also gives the teacher the opportunity to introduce the formula for the area of the circle. The follow up lesson also on this resource has several examples involving finding the areas of circles. The resource also contains a worksheet for students to answer either in class or as a piece of homework. The answer sheet provided here is for the free resource I have provided on the TES.