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ReallyUsefulMaths

Average Rating4.11
(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.

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Pie Charts
sjcoopersjcooper

Pie Charts

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This lesson is a series of examples aimed at students who have met Pie charts in earlier years. The lesson is aimed at re-enforcing the knowledge of pie charts through a series of worked examples. This presentation also includes a worksheet for students to attempt in class or as a piece of homework.
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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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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.
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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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Equation of a line, Length of a line, Gradient and midpoint of a line
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Equation of a line, Length of a line, Gradient and midpoint of a line

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This lesson brings together the knowledge of the length of a line between two points. The midpoint between two points. The gradient of a line and the equation of a line. There are many worked examples and the PowerPoint ends with a number of slides with questions for students to answer.
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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.
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Stationary Points
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Stationary Points

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This lesson is an introductory lesson into finding stationary points for a quadratic or cubic. This lesson looks at finding the nature of the stationary points by change of gradient. The lesson concludes with a couple of slides with questions for the students to answer.
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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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Arc length on a curve
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Arc length on a curve

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This lesson looks at the integration required when finding the length of section of curve. Through worked examples students will be able understand how the formula is used.
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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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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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Integration by substitution
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Integration by substitution

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This PowerPoint contains what I teach as two lessons. The first introduces students to the method of substitution whilst the second concludes this knowledge with worked examples with the definite integral.
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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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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.
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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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New GCSE Grade 7 material: Test 1
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New GCSE Grade 7 material: Test 1

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This is a Test I will use to check whether my students have met the standards required for topics which have been labelled as grade 7 in the new GCSE. Clearly I have listed which topics are tested and students are given this list in advance so that they can revise the highlighted topics. More tests will follow as I prepare them and then bundles will become available.
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Solving simultaneous equations
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Solving simultaneous equations

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This lesson revises with students how we can solve simultaneous equations by elimination and by substitution through worked examples. I have used this lesson in the past for year 12 AS students, however I have also used it as a revision lesson for year 11 students.
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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.