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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.
Solving Simple Equations
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Solving Simple Equations

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A series of worksheets involving solving equations. Designed for students meeting Algebra in the early stages.
Circle Theorem: Angles in a semicircle
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Circle Theorem: Angles in a semicircle

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This lesson and worksheet looks at the knowledge of the angles contained in a semicircle. This is done through worked examples followed by a worksheet for students to attempt.
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
Probability: Set theory & Venn diagrams
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Probability: Set theory & Venn diagrams

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This lesson is used to ensure that all students are aware of the notations used in a Venn diagram and the notations that will be used in more Advanced probability work.
GCSE Revision lessons
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GCSE Revision lessons

16 Resources
This bundle consists of at least 14 hours worth of revision covering: Probability Fractions Percentages Ratio Area Circumference Solving equations Angle work. Transformations Collection of like terms Drawing graphs Inequalities Completing the square Further revision lessons can be found in a second Bundle at: https://www.tes.com/teaching-resource/gcse-revision-lessons-2-11784294
Revision starters for GCSE topics.
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Revision starters for GCSE topics.

(1)
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
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.
Weekly GCSE Mathematics Mini Test
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Weekly GCSE Mathematics Mini Test

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This series of over 20 tests (and answers) helps students retain the ability to answer questions on a range of topics. The topics consist of Dividing into a given ratio nth term of a linear sequence Converting decimals into fractions Fractions (add, multiply and divide) Area of triangles, rectangles and circles Converting between mm, cm, m and km Collecting like terms. Removing brackets Solving simple equations Multiplying decimals Percentages of a quantity Expressing as a percentage Compound percentages Probability of a single event. Probability of two events when two spinners are spun Distance/Speed/Time Density/Mass/Volume
Introduction to Distance, Speed, Time
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Introduction to Distance, Speed, Time

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This lesson is aimed at introducing students to the three formula involving Distance, Speed and Time. There are plenty of worked examples and a worksheet to accompany the lesson.
Percentages
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Percentages

10 Resources
All my resources on Percentages. Lessons, revision lessons and worksheets at a discounted price.
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.
GCSE Maths KS4 : Error Bounds revision
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GCSE Maths KS4 : Error Bounds revision

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This revision lesson looks at error bounds at the higher level. Through worked examples and questions for the students to answer, students are able to recap this topic before their official examination.
GCSE Maths : Inequalities Revision KS4
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GCSE Maths : Inequalities Revision KS4

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This series of work is designed to revise inequalities with both Foundation and higher level students looking at solving the simplest of inequalities up to the more complicated quadratic inequalities. The PowerPoint is backed up with worksheets and I have included the worksheet Generator. (simply hit F9 on the computer and new worksheets are generated)
GCSE Foundation Run around game 5
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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!
Algebraic Problems involving Angles
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Algebraic Problems involving Angles

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This lesson and worksheets looks at algebraic problems which involve constructing equations based on the knowledge of either angles in a triangle angles in a quadrilateral ands associated with parallel lines angles in a parallelogram angles associated with circle theorems. There are two worksheets to backup the worked examples. The second worksheet is similar to the first just in case you need a review and want student to "have another go" Solutions are provided.
Percentages
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Percentages

(2)
Free worksheets on Percentages including Percentages of a quantity without a calculator Percentages of a quantity with a calculator Expressing as a percentage Compound measures These worksheets have been generated using the spreadsheet available in the shop link below: https://www.tes.com/teaching-resource/percentages-11809260 Generate as many as you like!
Finding the equation of a straight line revision.
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Finding the equation of a straight line revision.

(2)
This revision lesson is aimed at higher level students and looks at finding the equation of a straight line and also finding the equations of lines perpendicular to other lines. The lesson consists of both worked examples and questions for the students to answer. The lesson should last approximately one hour. However the extras could take that up to many hours!