KS4 GCSE Foundation and Higher Tiers. Three PowerPoint presentations including multiple choice quiz. Plus two worksheets of GCSE exam-style questions. • generate terms of a sequence from either a term-to-term or a position-to-term rule • recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (rn where n is an integer, and r is a rational number >0) • deduce expressions to calculate the nth term of linear sequences

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.

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.

Simplify and manipulate algebraic expressions to maintain equivalence by: • multiplying a single term over a bracket • taking out common factors Card matching activity with rectangles in algebraic form, answers with and without brackets. PowerPoint presentation with solutions for class checking. Worksheet of twelve questions each of expanding and factorising using same method, with boxes. Second PowerPoint for starter or checking learning. Three more short worksheets of mixed questions. Plus ‘objectives’ slide. All you need for this straightforward topic, and lots of opportunity for discussion.

A full set of resources for Properties of Plane Shapes at KS2/KS, or revision at KS4. Types of triangles, quadrilaterals and more. PowerPoint presentation with gaps to fill in, a matching names-to-definitions activity, two sets of activities and two set of questions for revision or assessment of learning. A full set of specifications is included for cutting and pasting into lesson plans An exciting lesson that reviews and builds upon existing knowledge. Kids love it, and easy for teacher! All images © 2015 Colin Billett

Practical activity using perimeter of shapes to introduce algebraic concept: KS3 - simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms KS4 - simplify and manipulate algebraic expressions by collecting like terms Hands-on card matching activity for collecting like terms – great for pair work and discussion – with a full set of solutions in PowerPoint. Two similar worksheets – one for classwork and one for homework or recap the following lesson. Plus an extension activity with an investigation and more involved questions.

‘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.

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

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

Six quizzes on PowerPoint covering aspects of number to introduce or round off a lesson on number – integers, directed numbers, decimals, fractions, and percentages. Designed for use with Level 1 16+ learners but suitable for lower levels at any age, or bright youngsters! Plus ten sets of multiple-choice worksheets also covering aspects of number, likewise originally for L1 16+ learners but equally suitable for younger age groups. These have been very popular for a long time. All images ©2015 Colin Billett

PowerPoint presentations on using the grid method, plus a poster and an investigation into multiplying diagonals. Worksheets to practice multiplying and factorising two brackets, and lots of questions on solving quadratic equations, including GCSE examples. Plus questions on matching quadratic graphs to expressions. All answers provided either in Word and/or PowerPoint. Everything you need for a couple of lessons at least.

Clear and simple examples of constructions for KS3 and KS4, and loci questions for GCSE. An identical PowerPoint to the activity to talk the learners through the processes. All tried and tested, and successful with learners. Answers provided for learners to check their own solutions. All images (c)2015 Colin Billett

The motivation for this was the difficulty Foundation learners have with averages of grouped data, and no doubt many Higher learners too. I’ve spent years trying to demonstrate the interval in which the median lies, and watched learners who appeared to follow the method for mean of grouped data, only to watch them go to pieces on tests. So this time I went for kinaesthetic and colourful, my main aim always. The documents are in Word so you can cut my photo if you want. I’ve thrown in a couple of real questions, and there are plenty more about, but very easy to make up in this style. All images (c)2015 Colin Billett

These have been enormously popular. I teach a number of people who are far more artistically minded than mathematical, so I produced some visual displays to illustrate equivalences. Run the PowerPoint, or print off some slides for display. I've also added a few posters by way of example of how you might use the individual slides. For classroom activity I’ve included five pages of shapes to colour for fractions etc to keep or display. Everything included in editable format, so use as many slides as appropriate for your year group, or change the shapes pages as required. All images ©2015 Colin Billett

Everything needed for tree diagrams at Higher Tier - a presentation on probability rules for addition and subtraction, a PowerPoint on drawing tree diagrams, and a worksheet for the learners to answer questions on tree diagrams. All photographs (c)2015 Colin Billett

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

Hands on activities for generating deeper thinking and discussion of probability questions. Learners consider one or more experiment cards and cards with real data to predict the probability of an event. Is a new baby more likely to be a boy? Look at the data. Are all scores on two dice equally likely? Try it and see. An extensive worksheet to consolidate learning, and some true/false cards to get deeper into the questions, which are also in a PowerPoint presentation. All photographs (c)2105 Colin Billett

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

Everything for a great lesson introducing geometric theorems and reasoning. Matching cards activity with full solutions on PowerPoint, worksheet with corresponding presentation, recap quiz and more. 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 the properties of angles at a point, angles at a point on a straight line, vertically opposite angles: understand and use the relationship between parallel lines and alternate and corresponding angles. Plus a worksheet of past GCSE type questions. All images ©2015 Colin Billett

A great lesson for getting the learners to work together and do it for themselves. A matching card activity to get them started on a discussion of inequalities. A poster and a PowerPoint display are provided to remind learners of the symbols. An animated PowerPoint presentation of the solutions allows learners to say what they have before the answer pops up. A worksheet provides for consolidation of learning. And finally a quiz is provided for plenary, or recap at the start of the next lesson. All files have been also provided in PDF form to appear correctly on any system. This whole lesson always goes down very well in my classroom! And no work for teacher, after preparing the materials that is!