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ReallyUsefulMaths

Average Rating4.11
(based on 168 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.

Mathematics

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Introduction to Index Notation
sjcoopersjcooper

Introduction to Index Notation

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This lesson introduces students to the first two rules applied when multiplying or dividing numbers to given powers. The powerpoint consists of worked examples and concludes with a worksheet for the students to complete.
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Rational and Irrational Numbers
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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.
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Multiplication of Number
sjcoopersjcooper

Multiplication of Number

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The worksheet can be used in class or as a piece of homework for student to demonstrate their ability to multiply two numbers together. Students could write on the sheet, however I often have them answer on paper or in their books.
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Subtraction of number
sjcoopersjcooper

Subtraction of number

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The worksheet can be used in class or as a piece of homework for student to demonstrate their ability to subtract two numbers. Students could write on the sheet, however I often have them answer on paper or in their books.
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Addition of Number worksheet
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Addition of Number worksheet

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The worksheet can be used in class or as a piece of homework for student to demonstrate their ability to add number together. Students could write on the sheet, however I often have them answer on paper or in their books.
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Partial Fractions (Using the coverup rule)
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Partial Fractions (Using the coverup rule)

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This short series of examples demonstrates how we can use the coverup rule to quickly place a given algebraic fraction into partial fractions. The examples also includes areas where partial fractions is useful.
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Logarithms & Exponentials
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Logarithms & Exponentials

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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.
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Logarithms & Exponentials worksheets
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Logarithms & Exponentials worksheets

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The worksheets here are to accompany the lessons on 1. an introduction to Logarithms 2. Laws of Logs 3. Exponentials In the past I have given them as classwork/homework. Answers included.
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Introduction to differentiation
sjcoopersjcooper

Introduction to differentiation

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This lesson introduces students to differentiation by first principles. I have always insisted that students use this as a first stepping stone to differentiation before using the rule.
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The exponential function
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The exponential function

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This lesson introduces students to the exponential function and its link with logs. There are a series of worked examples.
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Introduction to Logarithms
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Introduction to Logarithms

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This lesson introduces students to the logarithm to a given base. There is a series of worked examples and concludes with the graph of y=logx.
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Laws of Logs
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Laws of Logs

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This lesson is designed to firstly demonstrate to students how they can prove the three laws of logs. Then there are several examples which use the laws of logs. The lesson is follow on from the introduction to logs.
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Trigonometry
sjcoopersjcooper

Trigonometry

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6 Resources
Lessons covering Right angled trigonometry Pythagoras' Theorem the Sine rule and Cosine rule. Plus questions.
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Completing the Square & Quadratic Formula
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Completing the Square & Quadratic Formula

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These two lessons cover the topics of completing the square and using the quadratic formula solving quadratics. The worked examples also include a proof of the quadratic formula through completing the square. After a series of worked examples there are questions for the students to complete.
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Problems with Quadratics (including Fractions)
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Problems with Quadratics (including Fractions)

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The series of worked examples look at factorising and its uses. The examples address the ability to simplify algebraic fractions by factorising. There are then several questions for the students to then answer.
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The Cosine Rule
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The Cosine Rule

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Lesson introduces students to the Cosine 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.
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The Sine Rule
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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. The worksheet has answers with it.
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Volume of a Pyramid/Sphere
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Volume of a Pyramid/Sphere

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This resource consists of a series of worked examples involving the formula work for Volume of a Pyramid and volume of a Sphere. Following the examples there is printable sheets for students to complete.
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Cumulative Frequency
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Cumulative Frequency

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Lesson introduces students to Cumulative Frequency and ability to estimate the Median and Interquartile range from it. The lesson has a series of worked examples before ending with a large worksheet for students to complete.