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

Simultaneous equations with one linear and one quadratic equation.

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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)
Probability Tree revision lesson
sjcoopersjcooper

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.
New GCSE Test Material grades 6 & 7
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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.
GCSE Foundation Mathematics Revision  Game
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GCSE Foundation Mathematics Revision Game

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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!
Handling Data Revision booklet
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Handling Data Revision booklet

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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.
Frequency polygons and Histograms
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Frequency polygons and Histograms

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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.
Revision starters for GCSE topics.
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Revision starters for GCSE topics.

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Here I have created a group of starter questions for my foundation students to tackle at the beginning of the lesson. This powerpoint includes questions on fractions into decimals sequences the nth term solving simple equations dividing into a given ratio simplifying expressions factorising multiplying decimals
Frequency Polygon & Cumulative Frequency Revision
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Frequency Polygon & Cumulative Frequency Revision

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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.
Decimal, Fraction & percentage conversions
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Decimal, Fraction & percentage conversions

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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.
Paper 2 Mathematics Papers for Foundation & Higher
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Paper 2 Mathematics Papers for Foundation & Higher

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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.
Paper 3 Mathematics Papers for Foundation & Higher
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Paper 3 Mathematics Papers for Foundation & Higher

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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 Shape & Space revision guide
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GCSE Shape & Space 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 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 Pythagoras & Trigonometry Revision Lessons
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GCSE Pythagoras & Trigonometry Revision Lessons

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These lessons included in this resource revise Pythagoras Theorem, the knowledge of Right Angled Trigonometry, the knowledge of the sine rule cosine rule and 3D trigonometry. Accompanied with the lessons are worksheets for students to attempt in class or as homework. Plenty of revision for all types of students Foundation or Higher Tier.
Year 3: Equivalent Fractions
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Year 3: Equivalent Fractions

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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.
Direct Proportion
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Direct Proportion

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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.
Venn Diagrams & Probability
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Venn Diagrams & Probability

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This lesson is demonstrates through worked examples how Venn diagrams can be used to obtain the probability of a given event. The lesson also has a worksheet attached.
Revision questions for New GCSE Mathematics
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Revision questions for New GCSE Mathematics

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These examination papers have been written in the style of the new GCSE Mathematics Papers. There are 41 questions and Answers helping students revise Algebraic Fractions Arc length and Area of a sector Area under the graph Calculating the mean Completing the square Composite and Inverse functions Compound Percentage questions.