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Colinbillett's Shop

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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.

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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.
GCSE Revision/Resit Lesson Plans - Set 2
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GCSE Revision/Resit Lesson Plans - Set 2

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I teach 16 plus learners in a thirty or so week programme for GCSE - some retake and some new learners. What I have done here is put the Edexcel Linear A new scheme into the weekly slots, and devided all the criteria/spec statements into Aims and Objectives. I wouldn't expect anyone to follow the same order, or keep my jokes, but please copy slides as you want. Inspectors love to see the aims pasted up, so I use PowerPoint.
Maths KS2 Ordering of fractions Year 3. Revision, worksheet and presentation answers.
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Maths KS2 Ordering of fractions Year 3. Revision, worksheet and presentation answers.

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Ordering of fractions for Year 3 of KS2. Revision of work in Year 2, then a PowerPoint presentation with identical worksheet. Use the PowerPoint as answers, or for class work on an interactive board. Great for discussion of equivalences, percentages or decimal equivalences. Entirely suitable as revision in later years. Specs: 'compare and order unit fractions, and fractions with the same denominators' Notes and guidance (non-statutory) They begin to understand unit and non-unit fractions as numbers on the number line, and deduce relations between them, such as size and equivalence. They should go beyond the [0, 1] interval. Full lesson of activity.
Standard Form GCSE.  Five sides of questions adapted from GCSE papers for easy use in the classroom.
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Standard Form GCSE. Five sides of questions adapted from GCSE papers for easy use in the classroom.

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Straightforward set of questions on standard form, adapted and adopted from genuine past exam papers. Arranged for developing the complexity, and for printing and accessibility. Includes converting between standard form and ordinary numbers, ordering, multiplication and division, and a few word problems. Specs for KS4: 'interpret and compare numbers in standard form Nothing fancy - just a full set of questions reflecting those set by the big exam boards.
Maths Key Stage 1 or 2 .  Developing number bonds and tables with dice games.
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Maths Key Stage 1 or 2 . Developing number bonds and tables with dice games.

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This is more of an idea than a set of resources. Having a young learner who struggled with both simple addition in his head, including counting on, and poor recollection of tables, I turned to dice games as a way of helping the learner to develop fluency and retention. I found some online, and I give an example from NRich here. But I also produced addition and multiplication grids, first up to six and then up to ten, for six sided dice and ten sided dice. We take turns to throw the two dice, and mark off the score on our grids, either on an addition grid or a multiplication grid. First one to four in a row, including diagonals, wins the game. Or three in a row if we are short of time - let the learners decide. And finally I've added some with addition for three dice - Bingo style cards with 3 to 18. Each card has one missing number, so there are eighteen in total, with numbers jumbled on each. It would be easy to devise simple tables for the difference between the two dice - I might try that next. Let me know what you think. My young learner loves the games we devise, and his skills have come on wonderfully.
Fractions KS3 & KS4 division of  fractions & mixed numbers. Exposition with Qs & As + worksheets
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Fractions KS3 & KS4 division of fractions & mixed numbers. Exposition with Qs & As + worksheets

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Dividing a fraction by a fraction. Ever wonder why we 'flip and multiply'? Not many people seem to do so, and learners are too happy to follow the rules, and forget the rules. 'When do I do this and when do I do that?' Here is a colourful diagrammatic presentation that recaps on dividing by unit fractions, then goes on to illustrate why we multiply by the denominator, and divide by the numerator, ie 'flip and multiply'. Give your learners the 'why' and they might remember the 'when'! Questions at every point for class discussion and teacher explanation, and a set of questions at the end for learners to try, with full answers. Plus differentiated worksheet, two exercises, one just proper fractions, one mixed numbers.
Maths KS1 Year 2 Time.  Bundle of worksheets for telling the time and drawing hands on a clock face.
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Maths KS1 Year 2 Time. Bundle of worksheets for telling the time and drawing hands on a clock face.

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Big bundle of 10+ worksheets for telling the time and drawing hands on a clock face, meeting the curriculum for Year 2. Standards: ‘Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times.’ Precision drawn clock faces in Word and PDF for the learners to read the times, and draw missing hands on the clock faces – minutes, hours, and both minutes and hours. Plus a few KS2 style simple clock questions.
Maths KS2 Problem Solving using Mathematical Reasoning.
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Maths KS2 Problem Solving using Mathematical Reasoning.

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Maths Key Stage 2. Lots of questions in the style of SATs from right across the range of papers. Great for revision, practice, or checking learning at later stages, for example KS3 or Foundation GCSE. Using mathematics to solve problems using all four rules. In Word and PDF for ease of editing or printing.
Maths Ratio using tables - an innovative approach for KS3 or KS4 GCSE
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Maths Ratio using tables - an innovative approach for KS3 or KS4 GCSE

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Ratio can be difficult for the learners, and especially so since it has become a more significant element of GCSE. Using tables to help structure the questions is a new and extremely useful approach, one that many learners have found beneficial. The questions are all adapted and reconfigured from past papers, and although originally set at GCSE they are equally useful for KS3. The files consist of a presentation to demonstrate the method, plus worksheets at both Foundation and Higher Tier. All files are also included as PDFs so will appear the same on any operating system. If some of the questions look relatively easy, there can be a huge difference between papers - those aimed at the top grades and those questions aimed at the middle.
UK Mathematics - full national curriculum for Key Stage 2 for planning and recording
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UK Mathematics - full national curriculum for Key Stage 2 for planning and recording

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The National Curriculum in maths for Years 3 to 6 in Word documents. Full specifications, plus all attainment targets in tables. Seventeen different files for flexible planning of Years 3 - 6 maths National Curriculum. All in Word for ease of editing. Statutory requirements, both as list and a table for recording progress etc. Notes and non-statutory guidance to keep as an appendix. Full specs as one long continuous document, again, in Word for cutting and pasting where needed.
Maths KS2 Read Roman Numerals - presentation and lots of activities.
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Maths KS2 Read Roman Numerals - presentation and lots of activities.

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Specs Year 4'Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.' Year 5 'Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.' Thirty slides on an animated PowerPoint to introduce recognition of Roman numerals, and explore the advantage of Arabic numerals. Plus lots of activities/worksheets, including Emperors' reigns, Roman roads, Olympiads, Children's TV (years), and answers. All great fun, and could be cross-curricular.
Maths Geometric Reasoning Higher Tier KS4.  Great lesson for hands-on activity and discussion.
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Maths Geometric Reasoning Higher Tier KS4. Great lesson for hands-on activity and discussion.

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Everything for a great lesson developing geometric theorems and reasoning with circles. Matching cards activity with full solutions on PowerPoint, worksheet with corresponding presentation. Learners enjoy the hands-on activity and can keep the cards to help them solve the problems. PowerPoint can be printed for learners to keep for future reference. The lesson covers: apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results. It builds on my other resource for KS3 and Foundation Tier Geometry. All images ©2015 Colin Billett
Maths KS3 or KS4 revision. Trigonometric ratios, moving from tan to sine and cosine.
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Maths KS3 or KS4 revision. Trigonometric ratios, moving from tan to sine and cosine.

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Maths KS3 or KS4 revision. Trigonometric ratios, moving from tan to sine and cosine. Everything you need for a full lesson or two to develop trigonometry from the tangent ratio to sine and cosine. Let the learners tackle the activities, or guide them through with PowerPoint presentations. Presentations, worksheets, activities and solutions. Please leave comments, suggestions or corrections.
Maths KS4 Recurring decimals into fractions: investigation, presentation and worksheet.
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Maths KS4 Recurring decimals into fractions: investigation, presentation and worksheet.

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‘Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8); change recurring decimals into their corresponding fractions and vice versa.’ A simple investigation into which fractions terminate and which recur, on PowerPoint and in Word, with a big set of results in PowerPoint to encourage class discussion. A PowerPoint presentation of the method, with some examples to do as a class or individually, plus a worksheet of fourteen questions, with answers. A clear and fully supported lesson. I’ve also included a pdf version of everything, since MS Office can be a problem on different systems.
KS3 or KS4 Multiple resources for recognising and generating sequences, plus revision of KS2
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KS3 or KS4 Multiple resources for recognising and generating sequences, plus revision of KS2

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KS3 Presentation warm up, two more sequences sets on PowerPoint, and two worksheets, the second quite challenging. Plus a ‘sticks and dots’ pattern set with lots of pictures. • generate terms of a sequence from either a term-to-term or a position-to-term rule • recognise arithmetic sequences and find the nth term • recognise geometric sequences and appreciate other sequences that arise. And all good for lower tier at GCSE.
Maths Shape KS3 KS4 Angle Sum of Polygons. Investigation, illustrations and questions.
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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.
Math High School Geometry trigonometric ratios from similar triangles. Introduction to tangent ratio
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Math High School Geometry trigonometric ratios from similar triangles. Introduction to tangent ratio

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Common Core Standards Define trigonometric ratios and solve problems involving right triangles 6. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Everything you need to deliver a full lesson (or two) to introduce trigonometry through similar triangles and the tangent function. Presentation, activities, worksheets, along with answers, covering all aspects of the Common Core Standards. Please leave comments, suggestions or corrections.
Transformations KS4 - presentations, puzzles, worksheets and more
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Transformations KS4 - presentations, puzzles, worksheets and more

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A full set of resources for developing transformations at KS4 or build upon my other resource at KS3. An introduction of the four transformations of KS3, or review of symmetry, which can be done by children on an interactive board. Then a full presentation of the four at KS4 with rotations, reflections, translations and enlargements, with lots for the learners to try. Plus a worksheet with eight questions from GCSE to complete. A multiple choice quiz for plenary or recap in the next lesson. A full lesson plan is included, plus objectives. An exciting lesson that reviews and builds upon existing knowledge. All images ©2015 Colin Billett