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ReallyUsefulMaths

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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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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.
Logarithms & Exponentials
sjcoopersjcooper

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.
Pie Charts
sjcoopersjcooper

Pie Charts

(0)
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.
Multiples, Factors, Prime Factors, LCM and HCF
sjcoopersjcooper

Multiples, Factors, Prime Factors, LCM and HCF

(0)
This lesson or two has a series of slides which help teach or revise the words listed above. This is done with a variety of examples playing particular attention to prime factors. The powerpoint ends with two slides which can be printed off as a worksheet for students to answer in class or for homework.
The Parabola
sjcoopersjcooper

The Parabola

(0)
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.
Tangents and Normal to a curve
sjcoopersjcooper

Tangents and Normal to a curve

(0)
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.
Completing the square and circle centre the origin
sjcoopersjcooper

Completing the square and circle centre the origin

(1)
This lesson I teach students sometime after completing the square introduction and before the equation of circle centre (a,b) The start of the lesson looks at revision of completing the square and some uses to it. The latter part of the lesson looks at the circle centre (0,0) and several aspects which will become useful in time. The lesson concludes with some questions for the students to answer.
Transformations with Matrices: Using the unit square
sjcoopersjcooper

Transformations with Matrices: Using the unit square

(1)
This lesson consists of a series of examples which demonstrate how a unit square can be used to determine which transformation a given 2x2 matrix represents. Also the unit square can be used to create a 2x2 matrix. The lesson concludes with a set of questions for the students to answer. I tend to use this lesson when teaching the Further Mathematics GCSE.
Introduction to Projectiles
sjcoopersjcooper

Introduction to Projectiles

(0)
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.
Solving simultaneous equations
sjcoopersjcooper

Solving simultaneous equations

(0)
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.
New GCSE grade 7 material: Test 2
sjcoopersjcooper

New GCSE grade 7 material: Test 2

(0)
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.
Introduction to Bearings
sjcoopersjcooper

Introduction to Bearings

(1)
This lesson introduces students to Bearings. The lesson demonstrates how we measure a bearing through a series of examples. Followed by a number of examples where students will draw bearings. The last set of examples are more detailed with a set of instructions to follow in order to answer the question. The lessons are accompanied with two worksheets which can be completed in class or as a piece of homework.
Stationary Points
sjcoopersjcooper

Stationary Points

(0)
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.
Hyperbolic Functions
sjcoopersjcooper

Hyperbolic Functions

(0)
This lesson introduces students to the understanding of Hyperbolic functions through a series of worked examples. Including the curves.
Reverse Percentages
sjcoopersjcooper

Reverse Percentages

(0)
This lesson demonstrates to students how we can find the original amount when a percentage has already been added on or subtracted off.
Function of a function rule (chain rule)
sjcoopersjcooper

Function of a function rule (chain rule)

(0)
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.
Arc length on a curve
sjcoopersjcooper

Arc length on a curve

(0)
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.
R Alpha Method
sjcoopersjcooper

R Alpha Method

(0)
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.
Circumference of a circle
sjcoopersjcooper

Circumference of a circle

(0)
Lesson introduces students again to pi (as with the area resource). However this time students are able to work out the formula for the Circumference of a circle if they have already used my resource for the Area of a circle. The lesson has a variety of examples to be answered at the board and ends with a worksheet for students to answer either in class or as a piece of homework.
Angles in a triangle or quadrilateral
sjcoopersjcooper

Angles in a triangle or quadrilateral

(0)
The power point presentation shows students why angles in a triangle add up to 180. Prior knowledge is required here of the angles on a straight line and/or Alternate angles. The power point has a series of worked examples for the angles in a triangle before looking at the angles in a quadrilateral. Following the angles in a quadrilateral there are a series of cards that can be printed to go with a collection of questions at the board. (a bit like bingo) Students answer each question and should find a number that can be crossed out. The winner being the one who completes their card correctly!
Area of a circle
sjcoopersjcooper

Area of a circle

(0)
A lesson introduces the students to pi. Students work out for themselves with little guidance that pi is approximately 3 or even 3.1. This also gives the teacher the opportunity to introduce the formula for the area of the circle. The follow up lesson also on this resource has several examples involving finding the areas of circles. The resource also contains a worksheet for students to answer either in class or as a piece of homework.