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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.
Simultaneous equations with one linear and one quadratic equation.
sjcoopersjcooper

Simultaneous equations with one linear and one quadratic equation.

(1)
This lesson is taught once students have a firm understanding of solving simultaneous equations through elimination. Through worked examples students learn how to solve simultaneous equations by the substitution method. Further examples demonstrate its use when looking at points of intersection with a curve and a line. The lesson is completed with a worksheet which can be answered in class or as a piece of homework. (Answers are included)
Paper 3 Mathematics Papers for Foundation & Higher
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Paper 3 Mathematics Papers for Foundation & Higher

(1)
Here are two papers for mathematics examinations aimed at calculator for foundation and higher. This completes at three paper assessment. These papers can not be obtained by students on the internet. Hence are ideal for end of term (or year) assessments. Solutions are included.
GCSE Revision Lessons: Transformations & Fractions
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GCSE Revision Lessons: Transformations & Fractions

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Each revision lessons last approximately an hour each with my classes. I work through the worked examples before students then attempt the set questions. We then discuss the answers and correct any mistakes made. The revision lessons in this collection are Transformations: Describing transformations that have been done. Fractions: Addition, Subtraction, Multiplication & division of..
Revision lessons 2
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Revision lessons 2

(1)
Here are a three revision lessons I have used for my foundation students. The lessons consist of Area and Circumference of a circle. Solving Equations : letters on one side & letters on both sides. Probability of a single event. Dividing into a given ratio. This is easily 4 hours of work. I have used this with year 11 students revising topics in one hour blocks.
Probability Tree revision lesson
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Probability Tree revision lesson

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This revision is pitched mainly at foundation students, however it is also ideal for higher level students. Through worked examples the students revise the fact of multiplying "branches" together in order to obtain an outcome for two event. Further examples look at when there are more than two possible outcomes which would imply we add the solutions together. Nicely broken up for a student who is probably struggling with the grade 5 work. There are also several questions for the students to attempt in-between the examples. Answers are provided.
Gradient of a line and y intercept
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Gradient of a line and y intercept

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This lesson is used in lower school to introduce students to the gradient of a straight line by calculation. The lesson then looks at the general equation of the line. Acknowledging that m stands for the gradient and c the y intercept. There is a worksheet attached to this lesson which can be used in class or as a piece of homework. Answers are included.
Types of Solids
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Types of Solids

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There are approximately four lessons of work here which include the knowledge of Prisms, Pyramids and Spheres. I tend to get the students to copy the examples into their books. Then when they start the worksheet they have something to look back at for guidance.
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
Scatter Diagrams
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Scatter Diagrams

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This lesson and worksheet I have used as an introduction to scatter diagrams. Through worked examples students learn how to draw a scatter diagram, draw a line of best fit and use the line of best fit to answer further questions. The worksheet can then be used as a piece of classwork or as a piece of homework. Answers are included. New addition to this lesson: Printable two example sheet and Printable four page booklet containing three questions. The new addition was created during COVID times to ensure that students covered as much work as possible during school time. The two worked examples (worked through at the board) ensured that students moved onto the set questions quicker. The three question booklet was also a quick way to assess whether the students understood what was taught.
Circle Centre (0,0) radius r
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Circle Centre (0,0) radius r

(1)
This lesson introduces the students to the circle centre (0,0) radius r. Worked examples look at tangency to the circle and points of intersection.
Year 3: Equivalent Fractions
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Year 3: Equivalent Fractions

(1)
This PowerPoint lesson looks at equivalent fractions through worked examples of areas shaded. The lesson is backed up with a worksheet for pupils to answer either in class or as a piece of homework. Answers are included.
Right Angled Trigonometry
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Right Angled Trigonometry

(1)
Following on from the lessons which introduce trigonometry to students. These two lessons consist of worked examples using the three trig ratios developed in either year 9 or 8. The introduction lessons are in my shop. I have used this lesson with year 10, having already introduced trigonometry to these students in year 9.
GCSE Number revision Guide
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GCSE Number revision Guide

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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
GCSE Shape & Space revision guide
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GCSE Shape & Space revision guide

(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.
GCSE Algebra: Drawing straight line graph revision
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GCSE Algebra: Drawing straight line graph revision

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This Revision lesson reminds students how we draw graph from an equation in the form y=mx+c. Firstly the member of staff goes through two worked examples before the students tackle one or two on their own before checking the solution at the board. The examples then get more complicated. This revision lesson is aimed at Foundation students.
GCSE Higher level Algebra Revision
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GCSE Higher level Algebra Revision

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This revision powerpoint looks at worked examples for the topics of Completing the square and solving quadratics inequalities. The second revision lesson looks at iterative formulae and quadratic sequences. The idea is that the member of staff works through 2 or 3 examples before the student attempts one question at a time. The review of the question then reinforces the students understanding of the topics.
Paper 2 Mathematics Papers for Foundation & Higher
sjcoopersjcooper

Paper 2 Mathematics Papers for Foundation & Higher

(1)
Here are two papers for mathematics examinations aimed at calculator for foundation and higher. These papers can not be obtained by students on the internet. Hence are ideal for end of term (or year) assessments. Solutions are included.
Spreadsheets to accompany the Three Mathematics papers
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Spreadsheets to accompany the Three Mathematics papers

(1)
These two spreadsheets have been completed with the three uploaded papers in mind. There are instructions on how to use the spreadsheet. Once the papers have been marked the students individual scores are placed into the spreadsheet question by question. The teacher can then glance to see which topics are class issues and which topics are just problem areas for one or two. There is also the facility to print out an overview per student. Each individual question is RAG rated so that it is easy to identify incorrect answers, partially correct answers and full marks. As I said the spreadsheet is aimed at the three papers I have posted. However it can be modified for other papers used in class. Simply replacing the listed topics an max mark allocation allows the spreadsheet to be used for papers you create or use.