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ReallyUsefulMaths

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 six 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 six 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.
Constructions: Bisecting lines and Angles & constructing Angles
sjcooper

Constructions: Bisecting lines and Angles & constructing Angles

(1)
These two lessons teach students how to 1. Bisect a line 2. Bisect an Angle 3. Drop a perpendicular to a line 4. construct a 60 degree angle 5. construct a 90 degree angle 6. construct the 30 and 45 degree angle 7. construct 75 and 120 degree angles. The lessons also include worksheets for the students to attempt in class or as a piece of homework. Answers are included.
Area & Volume Ratio
sjcooper

Area & Volume Ratio

(1)
This powerpoint presentation introduces students to the understanding of area ratio and volume ratio when considering similar shapes. Through a series of worked examples students become more confident with answering such questions. The lesson concludes with a worksheet which can be answered in class or given as a homework.
Frequency polygons and Histograms
sjcooper

Frequency polygons and Histograms

(1)
These two lessons and two worksheets I have used to introduce the basic knowledge of a histogram and then use this knowledge to draw a frequency polygon. The histogram powerpoint and worksheet leaves the class widths at equal intervals. The frequency polygon powerpoint is then taught the next lesson to show students that it is quicker to draw a frequency polygon (and use it for comparisons) rather than a histogram. The worksheets can be used in class or given as a piece of homework.
Integration by substitution
sjcooper

Integration by substitution

(0)
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.
Transformations Reflections
sjcooper

Transformations Reflections

(2)
A lesson teaching students how to reflect in a given mirror line, including work on the xy axis. Lesson also contains a worksheet for students to work through in class or as a piece of homework.
Velocity-Time graphs
sjcooper

Velocity-Time graphs

(0)
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.
Fractions, Proportion & percentage questions
sjcooper

Fractions, Proportion & percentage questions

(2)
Resource with fractions, proportion and percentages. Resource includes worked examples followed by questions, also includes answers. The lesson also includes a worksheet which students could use in class or complete as a piece of homework. This resource should last a full hours lesson or more. This resource is also very useful for students that struggle answering questions involving both fractions and percentages or fractions and ratio in the same question.
Best Buys Revision
sjcooper

Best Buys Revision

(2)
With my year 11 foundation group struggling with recent Best Buy questions I put these two slides together for further practice. I worked through the first example and then they attempted the following questions before we checked answers together. It is only a short piece but follows the same pattern as most of my other revision lessons. However the other revision lessons tend to last the length of a lesson.
Probability Tree diagrams
sjcooper

Probability Tree diagrams

(2)
This worksheet can be used by students who have just been taught how to draw and complete a Probability tree diagram. I have a PowerPoint containing worked examples, which I use with this worksheet. This PowerPoint is available to purchase. On completing the PowerPoint students can then demonstrate their new skills with this worksheet. The answers to this worksheet are included with the said PowerPoint. follow the link below https://www.tes.com/teaching-resource/probability-tree-diagrams-11225929
Unitary Methods for direct and Inverse proportions
sjcooper

Unitary Methods for direct and Inverse proportions

(1)
These two lessons have worked examples which demonstrate the methods used for direct proportion and Inverse proportion. Attached to each lesson is a worksheet which can be printed out for students to either answer in class or as a piece of homework.
Logarithms & Exponentials
sjcooper

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.
Sequences: Continuing a sequence
sjcooper

Sequences: Continuing a sequence

(0)
This lesson looks at students being able to continue a sequence from a given rule, or obtaining a pattern from the numbers already given in the sequence. Through worked examples students get their first insight to the work involved with sequences.
Angles in a Triangle & Angles in a Quadrilateral
sjcooper

Angles in a Triangle & Angles in a 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!
Conditional Probability
sjcooper

Conditional Probability

(1)
This lesson is aimed at the higher level student. It is designed to be taught after the tree diagram lesson. Probably late into year 10 or early year 11. The worked examples demonstrate how the tree diagram can be used to answer some questions, but also demonstrates another quicker method of dealing with repeated events.
Fractions of a quantity
sjcooper

Fractions of a quantity

(0)
Introduction lessons to fractions of a quantity ideal for Key stage 2 or key stage 3 children. The first lesson looks at one half, one third, etc... of a quantity followed by one or two worksheets if required. The second lesson then looks at slightly more complicated fractions of a quantity. Again with worksheets to accompany the lesson.
Decimal, Fraction & percentage conversions
sjcooper

Decimal, Fraction & percentage conversions

(1)
This revision lesson reminds students how we can convert decimals into either fractions or percentages. Fractions into decimals or percentages and percentages into decimals or fractions. These revision lessons work with the teacher going through a couple of examples, which I get the students to copy down into their books, so that they have something to refer back to later. Then the students answer a number of questions to ensure they understand the work. The I move to the next slide and do much the same. I find that this has really helped with the low ability students moving their learning form short term to long term.
Division of decimals
sjcooper

Division of decimals

(0)
This lesson is a PowerPoint which through a series of worked examples shows students how to divide a given decimal by a given integer value.
Types of Triangles & Quadrilaterals
sjcooper

Types of Triangles & Quadrilaterals

(0)
Here are two powerpoint lessons which give information and properties to all the types of triangles and quadrilaterals which younger students need to know about. The first lesson looks at equilateral, isosceles, right angled and scalene triangles and lists other properties such lines of symmetry and rotational symmetry. The second lesson then looks at the quadrilaterals such as squares, rectangles, the parallelogram, trapezium and kite. This is concluded with a worksheet and answers. The recent edit now includes examples where students must plot coordinates and then name the polygon drawn.