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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.
A Dozen GCSE Maths Questions worksheet 3 & 4
sjcoopersjcooper

A Dozen GCSE Maths Questions worksheet 3 & 4

(1)
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.
A Dozen GCSE Maths Questions worksheets 5 & 6
sjcoopersjcooper

A Dozen GCSE Maths Questions worksheets 5 & 6

(1)
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.
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.
Frequency polygons and Histograms
sjcoopersjcooper

Frequency polygons and Histograms

(1)
These two lessons and two worksheets I have used to introduce the basic knowledge of a histogram and then use this knowledge to draw a frequency polygon. The histogram powerpoint and worksheet leaves the class widths at equal intervals. The frequency polygon powerpoint is then taught the next lesson to show students that it is quicker to draw a frequency polygon (and use it for comparisons) rather than a histogram. The worksheets can be used in class or given as a piece of homework.
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)
GCSE Foundation Mathematics Revision  Game
sjcoopersjcooper

GCSE Foundation Mathematics Revision Game

(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. For this run around calculators are placed on the table for questions 1 to 4 and table for questions 13 to 16 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!
Paper 1 Mathematics papers for Foundation & Higher
sjcoopersjcooper

Paper 1 Mathematics papers for Foundation & Higher

(1)
Here are two papers for mathematics examinations aimed at non 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
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 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.
Decimal, Fraction & percentage conversions
sjcoopersjcooper

Decimal, Fraction & percentage conversions

(1)
This revision lesson reminds students how we can convert decimals into either fractions or percentages. Fractions into decimals or percentages and percentages into decimals or fractions. These revision lessons work with the teacher going through a couple of examples, which I get the students to copy down into their books, so that they have something to refer back to later. Then the students answer a number of questions to ensure they understand the work. The I move to the next slide and do much the same. I find that this has really helped with the low ability students moving their learning form short term to long term.
Direct Proportion
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Direct Proportion

(1)
This lesson demonstrates the various ways in which a direct proportion question could be worded. Then through a series of worked examples, students learn how to answer questions involving direct proportion. The lesson contains a worksheet and answers which can be completed in class or set as a piece of homework.
Constructing Triangles
sjcoopersjcooper

Constructing Triangles

(1)
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.
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.
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.
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.
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.
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!
Revision lessons 2
sjcoopersjcooper

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.