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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.

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Division of Fractions
sjcoopersjcooper

Division of Fractions

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This lesson is a Powerpoint and Worksheet which I have used to teach students how to divide fractions. This lesson is taught once I have covered multiplication of fraction. Once the worked examples have been covered students are given the worksheet to either complete in class or as homework. Answers to the worksheet are also provided.
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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.
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Further Trigonometry worksheets
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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.
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Velocity-Time graphs
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Velocity-Time graphs

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This power point has a series of worked examples to demonstrate how students can find the distance traveled or the acceleration of an object by means of finding the (approximate) area under the curve or the gradient of the tangent drawn to the curve.
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Area Under a Curve
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Area Under a Curve

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The set of worked examples demonstrates how students can find an approximation for the area under a curve using the knowledge of area of a Trapezium. The lesson is accompanied with a worksheet for students to complete in class or as a piece of homework.
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Gradient of a Tangent to a curve
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Gradient of a Tangent to a curve

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These worked examples revise drawing quadratic curves and then teaches how we can draw a tangent by eye on the curve for different values of x. The examples then demonstrate how we can find the gradient of the tangents drawn. The lesson is accompanied with two worksheets for the students to complete in class or as a piece of homework.
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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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Introduction to Index Notation
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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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Multiplication of Number
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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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Hyperbolic Functions
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Hyperbolic Functions

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This lesson introduces students to the understanding of Hyperbolic functions through a series of worked examples. Including the curves.
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The CAST Diagram
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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.
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The Parabola
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The Parabola

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This lesson looks at the Parabola from a Geometric point of view. Sketching the curve from knowing the vertex and key coordinates. The examples also involve some algebraic operations involved with the parabola.
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Function of a function rule (chain rule)
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Function of a function rule (chain rule)

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This lesson is an introduction to the more complicated differentiation. Using the knowledge of basic differentiation these examples introduce students to differentiation by substitution before using the rule. I teach this rule this way first before showing them the quick approach when teaching the product rule and quotient rule.
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Introduction to Projectiles
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Introduction to Projectiles

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This lesson is an introduction to projectiles. It is assumed that students are already familiar with the standard formulae used in kinematics when a body moves in one direction. I always start this lesson by throwing the board pen horizontally and students witness that it moves in two directions. We discuss the acceleration acting on the body and hence the first example is on this basis. I follow that up with some more worked examples before giving them a standard diagram for projectiles.
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Integration by Parts
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Integration by Parts

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This PowerPoint is a lesson on integration by parts. I first demonstrate how the formula is a rearrangement of the product rule. I show the formula also in words as I find that students generally find this the easiest way to remember it. The lesson contains a number of worked examples for students to follow.
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Solving Trig equations continued.
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Solving Trig equations continued.

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This lesson makes continued use of the CAST diagram for solving trig equations in a given range. The lesson is used to introduce the quadratics that we see in trig equations and the necessary trig identities needed to solve them.
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R Alpha Method
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R Alpha Method

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This lesson introduces students to the R Alpha method. It is expected that the compound angles have been taught first. This lesson calls upon that knowledge and shows how this method is useful in a variety of situations.
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Solving Equations (more complicated)
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Solving Equations (more complicated)

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This lesson has a series of worked examples showing students how to solve more complicated linear equations and also quadratics. The lesson has been used in the past for year 12 students in September. However it can also be used for the more complicated questions required in year 11 work.
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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.