PowerPoint display exploring the methods for the four rules with fractions.

A brief introduction using PowerPoint and real data from my adult learners.

A set of patterns to complete to illustrate the consistency of the four rules of operation as applied to negative numbers, and hopefully remove the mystery.

Key stage 2 - getting more familiar with fractions: 'compare and order unit fractions, and fractions with the same denominators' Simple stuff for young learners, or revision at later stages.

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.

A full set of activities to engage the learners in finding the area of parallelograms and deriving methods and formulas. Good for practice or revision at any stage. Covers the specs for Year 6.

Questions culled and adapted from some very old papers, which means that none of the current learners will have seen these. Actually, very little changes, although these are the more basic end of the scale - some of the new ones may be trickier, but these are great for the lower grades.

KS2 Maths - Year 3 Equivalent Fractions: Year 3 equivalent fractions. recognise and show, using diagrams, equivalent fractions with small denominators Colourful powerpoint for sharing with a whole class, or for printing slides for cutting out and matching the shapes. You can buy them but they cost £25 a set of magnetic ones! Lots of questions to match shapes to fraction concepts, and activities for the learners to do, including writing fraction chains and colouring in a fractions wall. Great for revision in later years.

‘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 PowerPoint presentation to explore the nature of Standard Form, deriving the methods. Simple worksheet on conversions and another on calculations (KS4). Plus card matching activity and pair-matching activity. Everything to teach and explore the subject. All images ©2015 Colin Billett Objectives KS3 - interpret and compare numbers in standard form A x 10n 1≤A Foundation and Higher Tier - calculate with and interpret standard form A × 10n, where 1 ≤ A < 10 and n is an integer.

PowerPoint to introduce the rules of indices, using number and with lots for the learners to do, and which can be used as a prelude to algebraic manipulation of powers. Refresher activity on KS3/Foundation powers and roots, plus a worksheet on more complex examples for Higher Tier GCSE. Plus objectives for pasting into lesson plans. And a single page 'matching' activity in PowerPoint or PDF.

An extremely useful resource that has almost unlimited application. I've taken the GCSE Maths specifications for 2015 and converted them into MS Word tables, landscape and portrait, mostly fitting on to one side for each area - number, algebra, etc. They can be used for planning lessons, schemes of work, cutting and pasting into lesson aims and objectives, or for recording pupil/learner achievement on each objective. In Word they are very adaptable, and columns can be added as required, for dates etc.

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 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

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

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