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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.
Ratio and proportion
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Ratio and proportion

(9)
An illustrated introduction to ratio and proportion from the objectives of GCSE. Includes a few typical GCSE questions, but suitable for all levels.
Maths KS2 KS3 Algebra - Powerpoint quiz covering every aspect of Year 6 algebra. Free sample.
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Maths KS2 KS3 Algebra - Powerpoint quiz covering every aspect of Year 6 algebra. Free sample.

(3)
A powerpoint quiz covering all the aspects of KS2 algebra, and great for revision in KS3 or older. Pupils should be taught to: • use simple formulae • generate and describe linear number sequences • express missing number problems algebraically • find pairs of numbers that satisfy an equation with two unknowns • enumerate possibilities of combinations of two variables. To find a big bundle of activities and worksheets covering the full specs in year 6, look at my resource for sale at /teaching-resource/maths-ks2-algebra-full-bundle-of-resources-to-cover-the-entire-specs-great-for-ks3-revision-11254418
Using formulas and changing the subject of a formula. Presentations, worksheets and lesson plans.
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Using formulas and changing the subject of a formula. Presentations, worksheets and lesson plans.

(3)
Everything you need for one or two lessons at KS3 or KS4. A quiz to review formulas and another to introduce and discuss the use of formulas. A PowerPoint presentation with lots of examples for the learners to try in a group setting. Three clearly differentiated worksheets of mostly genuine GCSE questions to ensure learning. Worksheets and PowerPoints also in PDF format so they look the same on any system. All images ©2015 Colin Billett.
Maths Geometry Key Stage 2 Properties of Shapes Triangles and Quadrilaterals - bundle of activities.
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Maths Geometry Key Stage 2 Properties of Shapes Triangles and Quadrilaterals - bundle of activities.

(0)
Year 4 - Geometry – properties of shapes Two separate bundles of activities covering (a) triangles and (b) quadrilaterals, all for the new KS2 specifications. Specifically written for Year 4, they can easily be used at any level. In Word for editing or PDF for clear copies. Activities, worksheets and assessments, plus a short presentations on triangles and quadrilaterals. The presentations are included as PowerPoints and PDFs, to ensure at least one will open on any computer. Statutory requirements Pupils should be taught to: • compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes Notes and guidance (non-statutory) Pupils continue to classify shapes using geometrical properties, extending to classifying different triangles (for example, isosceles, equilateral, scalene) and quadrilaterals (for example, parallelogram, rhombus, trapezium). Pupils compare and order angles in preparation for using a protractor and compare lengths and angles to decide if a polygon is regular or irregular.
GCSE Maths 'Using the Product Rule for Counting' Differentiated Presentation
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GCSE Maths 'Using the Product Rule for Counting' Differentiated Presentation

(1)
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.
Frequency Polygons - full set of resources to deliver the construction and interpretation.
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Frequency Polygons - full set of resources to deliver the construction and interpretation.

(0)
A full set of resources to deliver the construction and interpretation of frequency polygons. Suitable for KS3, Foundation Tier GCSE and as a starter for Higher Tier before doing Cumulative Frequency Diagrams. Includes lesson plan, warm up starter activity on collecting data, PowerPoint on how to draw a frequency polygon, activities for the learners to undertake, and a plenary slide-show with suitable questions for checking learning. All data genuine and gathered this year.
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.

(0)
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 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.

(0)
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.
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

(0)
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 KS2 Perimeter of rectangles etc.  Full lesson for Yr 4 or revision Y5/KS3.
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Maths KS2 Perimeter of rectangles etc. Full lesson for Yr 4 or revision Y5/KS3.

(1)
Short presentation to define and demonstrate perimeter, with pages of activities, worksheets, and a full assessment based on previous SATs KS2. Colourful, and can be extended in many ways, with centicubes for example. KS2 – Year 4 - Perimeter Statutory requirements Pupils should be taught to: • measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres Notes and guidance (non-statutory) Perimeter can be expressed algebraically as 2(a + b) where a and b are the dimensions in the same unit.
Maths GCSE foundation and higher; working with surds, including simplifying and all four rules.
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Maths GCSE foundation and higher; working with surds, including simplifying and all four rules.

(2)
Surds are new to the Foundation part of GCSE maths, so I've made a very clear step-by-step PowerPoint that introduces surds, explains irrational numbers, demonstrates how to simplify surds, and gives examples and practice in applying all four rules of arithmetic using surds. Plus rationalising the denominator and more. Throughout the presentation there are groups of questions on each aspect to apply the skills, all with answers. Learners are now expected to appreciate that a surd gives an exact answer rather than a decimal approximation, and an understanding is essential for the new topics in algebra and trigonometry that are now on Foundation. Plus, it could be a very solid introduction to Higher tier surds.
Full lessons for introducing both binomial expansion and factorising quadratic expression.
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Full lessons for introducing both binomial expansion and factorising quadratic expression.

(0)
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 KS4 GCSSE Higher Tier Histograms - creating, reading and interpreting.
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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 9-1 Counting Problems Foundation and Higher Tiers
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Maths GCSE 9-1 Counting Problems Foundation and Higher Tiers

(2)
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.
KS4 GCSE Higher Tier Specifications and Objectives: 30 lesson plans in PowerPoint Set 2
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KS4 GCSE Higher Tier Specifications and Objectives: 30 lesson plans in PowerPoint Set 2

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Standard style lesson plans put into PowerPoint for easy showing in the classroom, printing for handouts etc. All the objectives covering Number, Probability, Statistics, and Ratio, proportion and rates of change included. Twenty seven lessons in all. All you have to do is add your own particular circumstances, resources etc. After getting poor feedback, I decided to make the first three as free samples, so do check them out before you buy this full set. /teaching-resource/maths-free-sample-specifications-and-objectives-for-gcse-higher-tier-3-lessons-in-powerpoint-11163375
KS3 KS4 Maths Reading and interpreting cumulative frequency graphs.
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KS3 KS4 Maths Reading and interpreting cumulative frequency graphs.

(0)
Everything you need for a lesson (or two) on reading and interpreting a cumulative frequency graph. Starter activity on PowerPoint to review average and range, with common mistakes and a more challenging question; a presentation in PowerPoint on reading and interpreting a cumulative frequency graph with two examples; learner activities, four 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 on GCSE now and for the 2015 specs. Can be uploaded to a VLE for the learners to follow themselves.
GCSE Mathematics.  Revision + equation of a line joining two points, and finding perpendicular lines
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GCSE Mathematics. Revision + equation of a line joining two points, and finding perpendicular lines

(0)
GCSE Mathematics - Foundation and Higher Tier. Finding the equation of a line through two points and perpendicular lines. A worksheet/activity that reminds learners of the algebraic form of a straight line, and goes on to finding the equation of a line joining two points and find the equations of perpendicular lines. Lots of GCSE style questions. Foundation Tier Plot graphs of equations that correspond to straight-line graphs in the coordinate plane; use the form y = mx + c to identify parallel lines; find the equation of the line through two given points or through one point with a given gradient. Higher Tier Plot graphs of equations that correspond to straight-line graphs in the coordinate plane; use the form y = mx + c to identify parallel and perpendicular lines; find the equation of the line through two given points or through one point with a given gradient.