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

PowerPoint quiz for revision/recap with ten quick questions and answers. Other topics covered: Number

A comprehensive set of slides in PowerPoint that puts the concepts into context and gives simple investigations for learners to try. Some teaching, some learning.

A recap of surds and simplifying expressions with surds, then a full presentation of multiplying brackets and surds, including the conjugate of a binomial. simplify and manipulate algebraic expressions (including those involving surds) by: collecting like terms multiplying a single term over a bracket taking out common factors expanding products of two binomials Lots of points to stop for the learner to try three of four examples, and each questions slide followed by the answers slide. Also suitable for A’level revision! And plus a PDF version should you have problems with the PowerPoint.

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.

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.

Everything you need for a full lesson or two to introduce trigonometry and the tangent ratio from similar triangles. Let the learners tackle the activities, or guide them through with PowerPoint presentations. Presentations, worksheets, activities and solutions. Please leave comments, suggestions or corrections.

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

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

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.

Multiple resources to look at, and learn, equivalent fractions, from KS2 to GCSE Foundation. Colourful presentations including ‘fraction chains’, lots of authentic types of questions, and lots of activities for colouring in fractions. Everything for a wide range of abilities, right up to KS4. Year 3 - recognise and show, using diagrams, equivalent fractions with small denominators. Year 4 - recognise and show, using diagrams, families of common equivalent fractions. Year 5 - compare and order fractions whose denominators are all multiples of the same number; identify, name and write equivalent fractions of a given fraction, represented visually,. Year 6 - use common factors to simplify fractions; use common multiples to express fractions in the same denomination; compare and order fractions.

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