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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)
GCSE Foundation Revision game 3
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GCSE Foundation Revision game 3

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GCSE Foundation Run around game 3 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!
Domain & Range
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Domain & Range

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This lesson and worksheet introduces the students to the work Domain and how we can obtain the range through the sketch of various curves.
The expansion of (p+q)^n
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The expansion of (p+q)^n

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This lesson and worksheet looks at the understanding of expanding a linear bracket to a positive integer value as the power.
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.
Moving Coins
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Moving Coins

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This is an investigation I used to use in the early 1990's when coursework was all the rage! Ideal task for end of term. Keeps the students still focused and on task.
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.
Gradient of a line and y intercept
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Gradient of a line and y intercept

(1)
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.
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 Number revision Guide
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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
Frequency Polygon & Cumulative Frequency Revision
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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
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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.
Compound Errors
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Compound Errors

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This lesson is a continuation form the lessons on Discrete and continuous errors (available from the shop for free) The lesson looks at errors further created when quantities are put together through either using the for rules of number or in additional formula work. As well as the PowerPoint lesson there is a worksheet and answers for the students to attempt either in class or as a piece of homework.
Mathematics Worksheet generator
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Mathematics Worksheet generator

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This spreadsheet is set up to produce nine questions for students to answer on a variety of foundation topics. The spreadsheet also generates the answers. To generate a new list simply alter week 1 for week 2 etc and a new sheet is generated. That is the numbers are replaced or a different algebraic expression is generated. The topics on this sheet include: Dividing into a given ratio Multiplying fractions together nth term of a linear sequence collection of like terms solving simple equations decimal conversions metric conversions decimal multiplication
Fractions of a quantity
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Fractions of a quantity

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This lesson was used with a Key stage 3 class. we worked through each example using the calculators this time. Another lesson available in the shop addresses finding the fraction of a quantity without a calculator. The class then complete the worksheet in class or as a piece of homework.
Dividing into a given Ratio
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Dividing into a given Ratio

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The series of worksheets and worksheet generator looks at a variety of ratio questions students could meet in the new GCSE examination. The first worksheets look at the more basic dividing into a given ratio. subsequent worksheets look at the more complicated ratio questions that appear on the papers and many students struggle to answer. The reason behind the generated question excel package is that you can generate an infinite number of worksheets. Hence students can have endless practice at this questions. Alternatively you can generate a complete set of different questions so that each member of the class has their own set to answer!
Drawing other standard graphs
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Drawing other standard graphs

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This lesson is a follow on from the lessons involving drawing the quadratic curve. The lesson consists of a couple of worked examples on drawing standard curves, followed by information about some standard graphs and their shape. The lesson also has an worksheet for students to tackle in class or as a piece of homework.
Area of irregular shapes
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Area of irregular shapes

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This lesson is designed for irregular shapes which makes use of students knowledge of rectangles and triangles. The lesson consists of many worked examples plus a worksheet.
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.