# Colinbillett's Shop

I taught in a range of schools for many years before moving into FE, where I found creative and imaginative approaches just as rewarding with adults. Most of my resources are concerned with giving control to the learner, through a range of methods. Some are great for just giving them experience of examination questions, and the chance to discuss these with other learners. I now concentrate on spreading the range of creations from UK KS1 to KS4, and across the Common Standards.

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I taught in a range of schools for many years before moving into FE, where I found creative and imaginative approaches just as rewarding with adults. Most of my resources are concerned with giving control to the learner, through a range of methods. Some are great for just giving them experience of examination questions, and the chance to discuss these with other learners. I now concentrate on spreading the range of creations from UK KS1 to KS4, and across the Common Standards.

#### Full lessons for introducing both binomial expansion and factorising quadratic expression.

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Expanding Binomials and Factorising Quadratic Expressions Objectives: To be able to: • expand products of two binomials • factorise quadratic expressions of the form x2+ bx + c, including the difference of two squares All the research says that girls learn best by understanding, and that by far the best approach to expanding and factorising is by using the grid method. I’ve done this very successfully for years, and retention is greatly improved by giving as little input as possible, and giving the learners challenges to complete. Plus an investigation to give that stretch and challenge. A full set of resources for learning how to expand and factorise, with a PowerPoint that can be used for class discussion. Plus some extra exercises for homework or assessment in a subsequent lesson. And a reminder of multiplication and addition of positive and negative numbers for a quick warm-up. All answers included!

#### Maths multiple-choice quizzes/worksheets FS L2 or KS3/KS4/16+; all aspects. Plus tracking docs.

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Ten multiple choice quizzes in MS Word covering functional mathematics – algebra and formulas, fractions, decimals, percentages, charts, graphs and tables, area and volume, measure, data handling, ratio, proportion, scale, probability, average and range. Designed for use with Level 2 16+ learners but suitable for lower levels at any age, or bright youngsters! All in Word for self-editing. Plus amplification and tracking sheets. These have been very popular for a long time. All images ©2015 Colin Billett

#### Maths GCSE manipulating surds - a clear presentation with lots of questions for the learners to do.

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A recap of surds and simplifying expressions with surds, then a full presentation of multiplying brackets and surds, including the conjugate of a binomial. simplify and manipulate algebraic expressions (including those involving surds) by: collecting like terms multiplying a single term over a bracket taking out common factors expanding products of two binomials Lots of points to stop for the learner to try three of four examples, and each questions slide followed by the answers slide. Also suitable for A’level revision! And plus a PDF version should you have problems with the PowerPoint.

#### The circle - names and parts of a circle

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A simple activity to name the parts of a circle pdf, with a PowerPoint for sharing the answers, plus an answer sheet for printing. You could print off any of it for display.

#### Maths Year 6 Division of a fraction by a whole number - simple clear presentation plus worksheet.

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Simple presentation for Year 6 division of fractions by whole number - clear presentation using the one I did for multiplication. Plus a worksheet that should consolidate the skills, and somewhat differentiated. Specs: 'divide proper fractions by whole numbers for example, [1/3 ÷ 2 = 1/6]'

#### Multiplication of fractions and on to mixed numbers. KS3 and above, presentation + worksheet.

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Step by step look at multiplication of mixed numbers, building on multiplication of proper fractions and addition, to create a simple algorithm. Clear presentation plus two sided worksheet progressing from multiplication of common fractions to multiplication of mixed numbers. See my other stuff for presentations on PowerPoint of division, and addition and subtraction.

#### GCSE Maths 'Using the Product Rule for Counting' Differentiated Presentation

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GCSE Higher Tier says ‘apply systematic listing strategies, including use of the product rule for counting (i.e. if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n ways)’. A clear, colourful and carefully explained PowerPoint presentation building up the skills from simple matching problems to calculating combinations and permutations in a variety of realistic and original settings, with lots of opportunity for the learner to reflect, apply, and evaluate the problems. Also available in my shop are two differentiated worksheets of adapted exam questions from sample and real GCSE assessments. Plus a PDF version that will work on all operating systems.

#### Maths KS2 KS3 KS4 Foundation: Volume of cuboids, with a wide range of differentiated worksheets.

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Finding the volume of cuboids, with a big selection of worksheets, from simple counting of cubes to working backwards from the volume to find other dimensions. Plus questions in the style of SATs and GCSE Foundation.

#### Maths KS4 GCSSE Higher Tier Histograms - creating, reading and interpreting.

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Everything you need for a lesson (or two) on creating, reading and interpreting histograms. Starter activity on PowerPoint on finding the areas of rectangles drawn on a co-ordinate grid, and finding missing lengths; a presentation in PowerPoint on creating, reading and interpreting a histogram with three examples, with equal class intervals and unequal class intervals; learner activities, with questions in Word or PDF; a plenary presentation in PowerPoint to check learning; and a lesson plan to make the whole thing complete. Suitable for high achievers at KS3, or Higher Tier at GCSE now and for the 2015 specs. Can be uploaded to a VLE for the learners to follow themselves.

#### Maths GCSE Ratio. Part (a) Dividing a given quantity into two parts

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Maths GCSE Ratio. Part (a) Dividing a given quantity into two parts Introduction suitable for Foundation and Higher Tier, acting as a reminder and revision of KS3 Ratio. Simply as is says - dividing into parts, with PowerPoint introduction and two sets of worksheets.

#### Probability at KS3, or Foundation GCSE. Lots of resources, lots of activities.

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A set of great stuff for theoretical and practical lessons on probability. Lots of questions, a PowerPoint introduction that can be fitted in at any time, a quiz that could end one lesson or start another, and events for printing on cards and sorting into order of likelihood. Plus a set of questions from across the years in KS2 for recap and revision. Enough for a couple of lessons, and lots of photographs that will give you and the learners ideas for creating your own questions. All images (c)2015 Colin Billett

#### Maths GCSE Bearings. Two differentiated worksheets plus plenary quiz in PP, all with answers.

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Bearings are on the new GCSE for both foundation and higher tier. I’ve produced worksheets to go with my PowerPoint introductions which you will find for free on TES. The first worksheet covers simple measuring and drawing of bearings, and applying simple geometry. The plenary quiz is great for rounding off the lesson, reviewing learning in a following lesson, or later revision. Two versions, one with immediate answers after each question, and one with answers following all the questions. Both PowerPoints also come as PDFs so will open on any system and look as they should. The second worksheet moves on to trigonometry, covering distances in triangles using Pythagoras, and finding bearings using simple trig ratios in right angled triangles. The second half of the worksheet covers the higher aspect of trig - sine rule and cosine rule to find bearings and distances. Answers also included for both worksheets. The free introductions are found at: https://www.tes.com/teaching-resource/maths-gcse-bearings-doing-the-simple-geometry-for-foundation-11494933 and: https://www.tes.com/teaching-resource/maths-gcse-bearings-introduction-how-to-read-and-write-bearings-colourful-presentation-11491326 All images © Colin Billett, 2017

#### Maths Shape KS3 KS4 Angle Sum of Polygons. Investigation, illustrations and questions.

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KS3/KS4 ‘Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons.’ A simple example of a triangle sum proof, an investigation into angle sums in both PowerPoint and Word, for classwork or individual work, and plenty of questions for learners to try. Plus a PowerPoint illustrating a variety of tessellation for learners to consider the geometry involved, and hence deduce necessary angle properties.

#### Maths KS2, KS3 or GCSE revision. Factors, multiples and prime numbers. Full lesson plan.

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Introduction to factors, multiples and prime numbers, with activities, worksheets, and SAT style questions for practise or assessment. Great for revision at KS3 or Foundation GCSE. Plenty to engage, and some more challenging questions. Mathematics Curriculum KS2 Year 5 Pupils should be taught to: • identify multiples and factors, including finding all factor pairs of a number, • know and use the vocabulary of prime numbers • establish whether a number up to 100 is prime and recall prime numbers up to 19 They use and understand the terms factor, multiple and prime, and square numbers. Year 6 • identify common factors, common multiples and prime numbers

#### Maths GCSE 9-1 Counting Problems Foundation and Higher Tiers

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Two sets of questions, differentiated by paper, for learners to complete. Plus answers. Counting has always been on Foundation, so quite easy for learners. Sophisticated counting strategies are new to the GCSE higher tier. The specs say: apply systematic listing strategies, including use of the product rule for counting (i.e. if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n ways) Hence also suitable for revision at A Level Statistics. All questions follow the format of 2017 exams across the boards, and the SAMs and Mocks available.

#### Maths KS2 Area of Parallelograms. Set of activities to engage the learners. Year 6 and above.

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A full set of activities to engage the learners in finding the area of parallelograms and deriving methods and formulas. Good for practice or revision at any stage. Covers the specs for Year 6.

#### Maths GCSE KS3 KS4 Statistics

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Big bundle of resources covering all aspects of GCSE statistics - histograms, cumulative frequency, box and whisker, frequency polygons, and averages of grouped data. Lots of differentiation, and all tried and tested in the classroom.

#### Plans and Elevations 3D shapes at KS3 & KS4 activities, worksheets, quizzes and a recap

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Colourful and kinaesthetic resources for one or two lessons, bringing representation of shapes to life, with loads of examples and suggestions for learners to try themselves. Fully differentiated with examples from simple interpretation to Higher Tier GCSE, but accessible to all at some level. Matching activities, worksheets, quizzes and a recap. Huge potential for extension, co-operation and constructive and active learning. PowerPoint activities suitable for printing as hand-outs for all activities and especially extension questions. All images (c) 2015 Colin Billett

#### Quizzes/worksheets FS L1 or KS3/KS4/16+; ratio, measure, handling data, area, volume etc

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Five multiple choice quizzes on PowerPoint covering functional mathematics – area, volume, measure, data handling, ratio, proportion, scale, probability, average and range. Designed for use with Level 1 16+ learners but suitable for lower levels at any age, or bright youngsters! Plus nine sets of multiple-choice worksheets covering these topics, likewise originally for L1 16+ learners but equally suitable for younger age groups. In Word for self-editing and PDFs. These have been very popular for a long time. All images ©2015 Colin Billett

#### Maths KS3 and KS4 GCSE Pythagoras and trigonometry in right-angled triangles. Huge bundle!

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Big bundle of worksheets/activities to revise or practise trigonometry of right angled triangles, with Pythagoras and sin, cos and tan for finding lengths of sides or angles. In Word or PDF. Great for homework or assessment of learning in the classroom. Now on KS3 but always needs revising in KS4, especially on the new GCSE 9-1 specifications. • apply Pythagoras’ Theorem and trigonometric ratios to find angles and lengths in right- angled triangles