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

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

Based on Key Stage Two for the new specifications, this introduction covers the first part of decimals for Year 3 (UK), but is suitable for any age group that is ready for this level, or for a recap at a different level. The recap is based on simple fractions at KS1 and questions based on SATs. The main part covers the basics of counting up and down in tenths and recognising that tenths arise from dividing an object into 10 equal parts. Everything for the introductory lesson, including a recap of simple fractions on paper or slideshow, a main class demonstration/discussion show on decimals, and lots of activities for the learners. Plus lots of places for learners to engage with concrete examples and a plenary. All images ©2015 Colin Billett

A full set of resources for developing transformations at KS3 or revision at KS4. The introduction consists of a revision of the two transformations of KS2, which can be done by children on an interactive board. Then a full presentation of the four at KS3 with rotations, reflections, translations and enlargements, with lots for the learners to try. Plus a worksheet with eight questions to complete. These can be followed by a review of learning worksheet or a quiz to do for assessment of learning - great fun too. A full lesson plan is included. An exciting lesson that reviews and builds upon existing knowledge. All images copyright 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

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

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.

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

Two-way tables are very popular questions, and great for getting learners to think logically. Progressive tasks from simply filling in the missing numbers through to creating tables from scratch. The new 2015 specs require learners to use two-way tables to answer questions on conditional probability so I've included a recap quiz that does just that - asks probability questions on a colourful quiz. Plus a lesson plan, so everything you need for a lesson or two. 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.

A very full set of resources to use and apply Pythagoras' Theorem in a wide range of situations, from simple triangles to finding the length of a line on a co-ordinate grid. PowerPoint presentation with early slides reminding learners of the principles and knowledge. Later questions apply the knowledge and lead on to generalisations. Plus extra worksheets on finding perimeter of polygons and finding the area of a circle drawn on a co-ordinate grid. Surds and use of pi encouraged in line with 2015 UK curriculum. Plus a multiple choice starter to check learning before they begin, with six questions, and another multiple choice activity to use for homework, or as a simple starter in a following lesson.

KS3 - derive and apply formulae to calculate volume of cuboids (including cubes) and other prisms. Worksheet/activity to recap simple area, a presentation in PowerPoint to get the learners thinking about volume of cubes, cuboids and prisms, then assorted worksheets presenting prisms in a variety of ways, including those drawn on isometric grids. In PDF or Word for editing and adopting.

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.

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

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

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

Everything you need for a lesson (or two) on creating, reading and interpreting box and whisker plots. Starter activity on PowerPoint to review stem and leaf diagrams; a presentation in PowerPoint on creating, reading and interpreting a box plot with two examples; learner activities, 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.

Everything you need for a lesson (or two) on producing a cumulative frequency graph. Starter activity on PowerPoint to review discrete and continuous data; a presentation on drawing a cumulative frequency graph with two examples; learner activities, four questions in Word or PDF; a plenary presentation 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 Maths Higher Speed Distance and Time questions in PowerPoint. Some a bit easy, to keep the learners going, and some introducing other concepts, like bounds, gradients, and areas under a curve. A new design for use in classroom discussions or on Zoom - questions on the left of the screen with a blank space on the right for filling in the answers - great for letting the learners try their answers to the tutor or the whole class. Two versions - one with solutions after each slide, and one with solutions at the end.