Common Core Standards Define trigonometric ratios and solve problems involving right triangles 6. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Everything you need for a full lesson or two to develop trigonometry from the tangent ratio to sine and cosine. Presentations, worksheets, activities and solutions, covering all aspects of the Common Core Standards. Please leave comments, suggestions or corrections.

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

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

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

Some real, some made up by me, GCSE style questions.

Typical GCSE questions put into a powerpoint for group discussion, and worksheets for learners.

Ten multiple-choice questions, with answers, in a PowerPoint format. Questions are on ordering, subtracting, equivalence, dividing and multipying. Ideal to be used on the IWB and suitable for KS3 and KS4 students.

Four games to play to reinforce solving simple equations and substitution, so quite suitable for year 6 and key stages 3 or 4. Throw the dice, and match the equation to the score. Claim that tile, and the next person throws. All solutions are in the range of 1 - 6, so easy arithmetic. But game can be adapted any way you like - solve all the equations first, then play the dice game to make three in a row, or four in a row. The second set is throw the dice and substitute the scores into the expressions, then find the numbers in the grid. Give feedback please, on suggested improvements.

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.

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

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.

Five sets of ten multiple choice questions on number work in PowerPoint, with answers. Topics also included: revision.

Algebra expression cards. Algebraic statements in symbols, with with corresponding word descriptions, and representations as areas in the plane, along with function tables. Match up any sets you like - words and symbols seem to go down well, along with the pictorial representation.

AfL in Maths, encourages mathematical thinking - sometimes true, always true, never true. A set of cards for talking about algebraic statements. Plus a powerpoint version for discussion, and a powerpoint version with the answers.

BIDMAS, BIMDAS or BODMAS Matching cards for statements and answers, with index numbers, brackets, changed order etc. Plus a powerpoint of the questions for discussion, plus a powerpoint of the answers if one runs out of time.

KS3 and KS4 maths activity. A set of cards for discussion and matching of possibilities, plus a powerpoint of the questions for group reflection, and another powerpoint of some possible answers.

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.

Fractions four rules KS2 -Year 3 'Add and subtract fractions with the same denominator within one whole.' 'Pupils practise adding and subtracting fractions with the same denominator through a variety of increasingly complex problems to improve fluency.' Presentation and lots of activity, and plenty of resources for you to adapt and make your own. Worksheets, fractions cards, all differentiated. Word and PDF - whatever works for you.