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ReallyUsefulMaths

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(based on 167 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.
Finding the nth term of a quadratic sequence
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Finding the nth term of a quadratic sequence

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This power point teaches students how to find the nth term for any sequence which is quadratic. The method adopted in the power point can also be used for linear sequences. Note: The preview does not fully show the notations used in this power point. This only appears in full purchase.
Circular Measures: Radians, Arc length and area of a sector
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Circular Measures: Radians, Arc length and area of a sector

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This lesson introduces students to the angle measure the Radian. There is a quick proof of the Area of a sector and arc length formulae. Followed by several worked examples on the use of these formulae. It is expected that students would have met the area of a triangle formula in trigonometry before this lesson.
Area & Perimeter workbook
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Area & Perimeter workbook

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This work book consists of worksheets which are used with the lessons on Area of a rectangle Perimeter of a rectangle Area of a triangle Area of a circle Circumference Area of a Sector Arc Length
Differentiation by first principles
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Differentiation by first principles

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This is a second lesson on this topic. This method approaches the topic using f(x) and f(x+h). The worksheet can be given to the students in the form “y = " or as " f(x) =”, depending on the exam board used.
Trigonometry: Double angle formulae
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Trigonometry: Double angle formulae

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Having taught the Compound Angles the next lesson is this lesson which looks at the double angle formulae and examples of situations where the knowledge is required.
Pythagoras Theorem
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Pythagoras Theorem

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This is a power point presentation which introduces students to the knowledge of Pythagoras' Theorem. Through worked examples students will firstly learn how to calculate the Hypotenuse side. The second lesson looks at finding one of the smaller sides. This purchase also includes two worksheets for students. Answers are included.
Decimal Search
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Decimal Search

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A lesson showing students how to find the solution to an algebraic expression through decimal search. The lesson also includes two questions for students to attempt.
Introduction to differentiation
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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.
Equation of a circle centre (a, b)
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Equation of a circle centre (a, b)

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This lesson teaches students the general format for the equation of a circle. This follows with a series of examples which either find the equation of a circle or uses the equation of a circle.
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!
Algebraic Long Division
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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.
Inverse Functions
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Inverse Functions

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This lesson shows students how a function f(x) can be rearranged to obtain the inverse function. Students are also shown the graph of an inverse function when given the graph of y = f(x).
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.
Area of a sector and Arc length
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Area of a sector and Arc length

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These two PowerPoints are designed for students at GCSE level. Through worked examples students learn how to work out the area of a sector or the length of an arc. The lessons are accompanied with two worksheets one for each lesson. Answers are included.
Tangents and Normal to a curve
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Tangents and Normal to a curve

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This lesson teaches students what is meant by a tangent and normal to a curve. The lesson then works through some examples finding the equation of a given tangent or a given normal.
Surface Area
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Surface Area

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This lesson looks at finding the surface area of shapes such as cuboids, square based pyramids, cylinders, cones and spheres. The lesson also shows a proof for the surface area formula of a cone. However for this students to understand this proof it is essential that they have already met arc length and area of a sector. The lesson contains a number of worked examples.