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

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. https://www.tes.com/teaching-resource/maths-free-sample-specifications-and-objectives-for-gcse-higher-tier-3-lessons-in-powerpoint-11163375

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

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

‘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.

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

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 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!

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

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

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 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.

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.

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

Everything for introducing negative numbers in KS2, especially for Year 4 but great for revision in Year 5 or above. PowerPoint to move on from counting numbers, adding zero and negative numbers. Lots of opportunity for open questions and direct questioning. PowerPoint includes ten questions for the learners to do as a group or individually. Powerpoint also given as a PDF so that it will open on any system, and look the same. Worksheet covers the specs - counting through zero, done on number lines presented in a variety of ways. Plus games to give the learners colourful, active and kinaesthetic learning. Year 4 programme of study Number – number and place value Statutory requirements Pupils should be taught to count backwards through zero to include negative numbers Year 5 programme of study Number – number and place value Statutory requirements Pupils should be taught to: interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero Images © Colin Billett

Mathematics Key Stage 2 Year 6: use negative numbers in context, and calculate intervals across zero solve number and practical problems that involve all of the above. Everything you need to introduce the next stage, and give learners plenty of practice.

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.

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.

Presentation with 52 slides and around fifty questions covering basic concepts of percentages, including fractional and decimal equivalents. Simple questions to develop fluency, misconceptions to correct, simple applications and written problems. Each slide followed by solution slide. Plus a clone of the questions in Word and as a PDF for further practise. So around 100 questions in total, with plenty of repetition and plenty of new questions slotted in. Plus answers for printing or otherwise. Originally produced for Functional Skills Levels 1 & 2 but entirely suitable for other groups. Easily editable into four different lessons for revisiting at a later date.

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.