# ReallyUsefulMaths

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(based on 154 reviews)

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.

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14 Resources

16 Resources

#### Area of a circle

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This worksheet can be used by students who have just been taught how to find the area of a circle. I have a PowerPoint which I use over two lessons which firstly encourages them to find the formula for the area of a circle. Then collectively we write down a better formula with some verbal history thrown in, before attempting some examples at the board. This PowerPoint is available to purchase. On completing the PowerPoint students can then demonstrate their new skills with this worksheet. The answers to this worksheet are included with the PowerPoint.

#### Converting Fractions or Decimals into Percentages

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This short lesson I use with KS2/KS3 students when looking at converting Fractions into Percentages or Decimals into Percentages. The lesson is accompanied with a Worksheet for students to answer in class or as a piece of homework. It demonstrates the style I use in class which is to work through examples in class with students pitching in ideas of how to answer the question along the way. Followed by the student then tackling questions on their own. My shop is full of lessons like this (however longer than this lesson). Hence a bought lesson will give you plenty of worked examples as board work with a worksheet to conclude, lasting the student beyond your lesson. The shop is https://www.tes.com/teaching-resources/shop/sjcooper

#### Standard Form revision

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Keeping with the theme of the revision lessons already on here this lesson looks at the ability of students being able to write as a standard form, or as an ordinary number. It also looks at multiplication or division of numbers written in standard form. This lesson is part of the bundle I am currently putting together for both my higher level and foundation level students. The bundle can be found from the following link. https://www.tes.com/teaching-resource/gcse-revision-lessons-11733758

#### Volume of a Prism

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Lesson introduces students to the formula which can be used for a variety of prisms. The lesson then has a series of worked examples before ending with a large worksheet for students to complete.

#### The CAST Diagram

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I use this PowerPoint over two lessons. The first lesson introduces students to the CAST diagram. There is an assumption that students are already aware of the three trig curves. A series of examples follow where students find the exact value for the sin, cos or tan of certain angles. The second lesson looks at the definition of a negative angle. The lessons complete with examples of how the CAST diagram can be used to solve simple trig equations for a given range.

#### GCSE Mathematics : Exact Trig Values

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This lesson teaches students the exact trig values for the sin cos and tan of 30, 45, 60 and 90 degrees. The lesson shows two ways to remember the values by either table or triangles. The lesson is also accompanied with several worksheets. The idea being that one worksheet is given at the end of teaching the lesson for students to demonstrate what they now know. Then throughout the year or two further worksheets can be given to check on them retaining the information taught.

#### 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.

#### Percentages revision with a calculator

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This revision lesson looks at working out a percentage of a quantity with a calculator. The revision continues then looks at percentage increase, decrease and concludes with compound measures. The lesson is therefore ideal for both foundation or higher level students.

#### GCSE revision lessons 2

14 Resources
This bundle continues with the revision lessons for year 11 students at Higher and/or foundation level. This initial bundle contains roughly 14 hours of revision lessons on Standard Form Percentages of a quantity Properties of a velocity time graph (area under a graph & gradient of a tangent to the curve) Factorising and removing brackets for up to three brackets. Pie charts & Scatter diagrams Inverse & direct proportion Circle problems Simultaneous equations Dividing into a ratio and others...

#### 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

#### Subtraction of Decimals

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This PowerPoint demonstrates through a series of worked examples how to subtract decimals.

#### GCSE Maths : Volume & Surface area revision KS4

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These revision lessons are designed for students studying GCSE mathematics and cover the following: Volume of a prism Volume of a sphere Volume of a pyramid Volume of a cone Surface area of a cuboid Surface area of a cone Surface area of a cylinder

#### Algebraic Long Division

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This lesson introduces students to long division for algebraic fractions. I usually teach this lesson before the lessons on factor and remainder theorem.

#### Further Trigonometry worksheets

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This booklet extends from the introduction of trigonometry. The book has a series of worksheets covering Pythagoras or Right angled trigonometry for 3D objects. The booklet then has worksheets on the Sine rule, The Cosine rule and then The area of a triangle.

#### Rational and Irrational Numbers

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The power point lesson teaches students the understanding of the works Rational and irrational when it comes to numbers. There is a proof for the square root of 2 being irrational and a number of examples where recurring decimals are expressed as fractions (hence showing that they are rational numbers). I always teach this lesson before introducing the simplifying of surds.

#### Arithmetic Progressions

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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.

#### The Sine Rule

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Lesson introduces students to the Sine Rule formula which can be used for a variety of triangles. The lesson then has a series of worked examples before ending with a a number of questions for students to complete.

#### Logarithms & Exponentials

4 Resources
These three lessons I usually teach towards the end of year 12 in preparation for the introduction of natural logs in calculus. The lessons introduce students to Logs, the laws of logs. The Algebra used in logs and the Natural log and exponential.

#### Solving Simple Equations

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A series of worksheets involving solving equations. Designed for students meeting Algebra in the early stages.

#### GCSE Maths : Factorising trinomials

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This lesson has been used over the years as an introduction to factorising initially the basic trinomials before looking at the more complicated trinomials. The lesson also consists of a worksheet with solutions for students to attempt in class or as a piece of homework.