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.

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. All images ©2015 Colin Billett

Based on Grade 4 of the Common Standards, this introduction covers the first part of decimals, 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. 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 ready for higher grades. The introduction consists of a revision of the two simple transformations, which can be done by children on an interactive board. Then a full presentation of the four common ones, 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. An exciting lesson that reviews and builds upon existing knowledge. All images copyright 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 geometry, and loci questions from exams. 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: Simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms 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 common standards 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.

<p>Ten multiple-choice questions, with answers, in a PowerPoint.</p>

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 parentheses, 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 activities I’ve included five pages of shapes to color for fractions etc to keep or display. Everything included in editable format, so use as many slides as appropriate for your age group or grade, or change the shapes pages as required. All images ©2015 Colin Billett

A very full set of resources to apply the Pythagorean Theorem to finding the length of a line drawn on a coordinate grid. PowerPoint presentation with early slides reminding learners of the principles and knowledge. Later questions apply the knowledge and lead on to generalizations. Plus extra worksheets on finding perimeter of polygons and finding the area of a circle drawn on a coordinate grid. Surds and use of pi encouraged in line with 2015 UK curriculum. Grade 8 - Understand and apply the Pythagorean Theorem. 8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

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

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.

A set of cards for talking about algebraic statements. Plus a powerpoint version for discussion, and a powerpoint version with the answers.

Matching cards for statements and answers; with index numbers; parentheses; changed order etc.Plus a PowerPoint of the questions for discussion; plus a PowerPoint of the answers if one runs out of time.