# ReallyUsefulMaths

Average Rating4.14
(based on 157 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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14 Resources

16 Resources

#### Vertically Opposite angles

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This lesson and worksheet teaches students, through worked examples, how to work out missing angles when two straight lines cut each other. This Powerpoint can be used for students who struggle with Mathematics or as an introduction for younger students. The worksheet also has an answer sheet provided.

#### Christmas Simultaneous Equations

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These festive worksheets and small PowerPoint can be used to keep students at GCSE level motivated in the run up to Christmas.

#### Right Angled Trigonometry

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Following on from the lessons which introduce trigonometry to students. These two lessons consist of worked examples using the three trig ratios developed in either year 9 or 8. The introduction lessons are in my shop. I have used this lesson with year 10, having already introduced trigonometry to these students in year 9.

#### GCSE Higher level Algebra Revision

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This revision powerpoint looks at worked examples for the topics of Completing the square and solving quadratics inequalities. The second revision lesson looks at iterative formulae and quadratic sequences. The idea is that the member of staff works through 2 or 3 examples before the student attempts one question at a time. The review of the question then reinforces the students understanding of the topics.

#### GCSE Pythagoras & Trigonometry Revision Lessons

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These lessons included in this resource revise Pythagoras Theorem, the knowledge of Right Angled Trigonometry, the knowledge of the sine rule cosine rule and 3D trigonometry. Accompanied with the lessons are worksheets for students to attempt in class or as homework. Plenty of revision for all types of students Foundation or Higher Tier.

#### GCSE Maths : Volume & Surface area revision KS4

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These revision lessons are designed for students studying GCSE mathematics and cover the following: Volume of a prism Volume of a sphere Volume of a pyramid Volume of a cone Surface area of a cuboid Surface area of a cone Surface area of a cylinder

#### Probability Tree diagrams

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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

#### Area of a circle

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This worksheet can be used by students who have just been taught how to find the area of a circle. I have a PowerPoint which I use over two lessons which firstly encourages them to find the formula for the area of a circle. Then collectively we write down a better formula with some verbal history thrown in, before attempting some examples at the board. 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 PowerPoint.

#### Properties of a velocity time graph revision

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This revision lesson looks at revising with students the understanding that area under a curve represents distance travelled and the gradient of a tangent represents acceleration when looking at a velocity time graph. The revision lessons is a mixture of worked examples and questions for the students to attempt before reviewing at the board.

#### Frequency polygons and Histograms

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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.

#### Probability Tree revision lesson

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This revision is pitched mainly at foundation students, however it is also ideal for higher level students. Through worked examples the students revise the fact of multiplying &quot;branches&quot; together in order to obtain an outcome for two event. Further examples look at when there are more than two possible outcomes which would imply we add the solutions together. Nicely broken up for a student who is probably struggling with the grade 5 work. There are also several questions for the students to attempt in-between the examples. Answers are provided.

#### Circle Theorem: Angle between a tangent and its radius

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This lesson and worksheet looks at the knowledge of the angle knowledge between a tangent and its radius through worked examples. The lesson also consists of two worksheets covering this theorem. (Whilst also using some of the earlier theorems taught)

#### Constructing Triangles

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Three lessons on how to construct Triangles. Each lesson has a relevant worksheet for students to answer either in class or as a piece of homework. Each worksheet also has a solution sheet. First lesson looks at constructing triangles when given all three sides. Second lesson looks at constructing triangles when given one side and two angles. Third lesson looks at constructing triangles when given two sides and one angle.

#### 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.

#### GCSE revision lessons 2

14 Resources
This bundle continues with the revision lessons for year 11 students at Higher and/or foundation level. This initial bundle contains roughly 14 hours of revision lessons on Standard Form Percentages of a quantity Properties of a velocity time graph (area under a graph & gradient of a tangent to the curve) Factorising and removing brackets for up to three brackets. Pie charts & Scatter diagrams Inverse & direct proportion Circle problems Simultaneous equations Dividing into a ratio and others...

#### Probability Tree Diagrams

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A power point presentation which shows students how to construct and use a Tree diagram through a series of worked examples. Following the presentation there is a worksheet for students to answer either as a piece of classwork or as a homework. Answers are also provided.

#### 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.

#### Christmas Maths Quiz

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This series of slides consists of twenty mathematical questions with a Christmas theme. The idea is to keep students entertained in the final days/weeks of the term whilst also doing some good quality maths work. The questions can be answered with or without a calculator. Answers are provided at the end. Merry Christmas.

#### Algebraic Problems involving Angles

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This lesson and worksheets looks at algebraic problems which involve constructing equations based on the knowledge of either angles in a triangle angles in a quadrilateral ands associated with parallel lines angles in a parallelogram angles associated with circle theorems. There are two worksheets to backup the worked examples. The second worksheet is similar to the first just in case you need a review and want student to &quot;have another go&quot; Solutions are provided.

#### Best Buys Revision

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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.