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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.
Proportion
sjcoopersjcooper

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
Circle Centre (0,0) radius r
sjcoopersjcooper

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
sjcoopersjcooper

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
sjcoopersjcooper

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
sjcoopersjcooper

GCSE Number 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
sjcoopersjcooper

GCSE Algebra: Drawing straight line graph revision

(1)
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
sjcoopersjcooper

GCSE Higher level Algebra Revision

(1)
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.
Spreadsheets to accompany the Three Mathematics papers
sjcoopersjcooper

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.
GCSE Foundation Run around game 5
sjcoopersjcooper

GCSE Foundation Run around game 5

(1)
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!
Perpendicular Lines
sjcoopersjcooper

Perpendicular Lines

(1)
This lesson is used to introduce students to perpendicular lines. Finding the gradient of a perpendicular line and the equation of such lines. The lesson is followed with a worksheet which can be used in class or as a piece of homework. Answers are included.
Frequency Polygon & Cumulative Frequency Revision
sjcoopersjcooper

Frequency Polygon & Cumulative Frequency Revision

(1)
This revision lesson reminds students how to draw both Frequency polygons and cumulative frequency curves. This is done through both worked examples and a few for them to have a go at before checking answers at the board. The lesson also reminds students how the median and Interquartile range are found from the cumulative frequency curve.
Properties of a velocity time graph revision
sjcoopersjcooper

Properties of a velocity time graph revision

(1)
This revision lesson looks at revising with students the understanding that area under a curve represents distance travelled and the gradient of a tangent represents acceleration when looking at a velocity time graph. The revision lessons is a mixture of worked examples and questions for the students to attempt before reviewing at the board.
Arithmetic Progressions
sjcoopersjcooper

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.
New GCSE Test Material grades 6 & 7
sjcoopersjcooper

New GCSE Test Material grades 6 & 7

4 Resources
These tests can be used to check whether students have met the standards required for topics which have been labelled as grade 6 or 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. The idea is that students will answer the questions on paper and/or graph paper.
Scatter Diagrams
sjcoopersjcooper

Scatter Diagrams

(1)
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.
Paper 3 Mathematics Papers for Foundation & Higher
sjcoopersjcooper

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.
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.
Handling Data Revision booklet
sjcoopersjcooper

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.
Algebraic Fractions
sjcoopersjcooper

Algebraic Fractions

(1)
This lesson consists of a powerpoint of worked examples, which demonstrate how Algebraic fractions are simplified. The collection contains examples of factorising numerator and denominator before cancelling common factors and also includes multiplying and dividing algebraic fractions. The lesson also contains a worksheet, with answers.