A set of great stuff for theoretical and practical lessons on probability. Lots of questions, a PowerPoint introduction that can be fitted in at any time, a quiz that could end one lesson or start another, and events for printing on cards and sorting into order of likelihood. Plus a set of questions for recap and revision. Enough for a couple of lessons, and lots of photographs that will give you and the learners ideas for creating your own questions. All images (c)2015 Colin Billett 'Investigate chance processes and develop, use, and evaluate probability models. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. '

Everything needed for tree diagrams for probability - 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 Math Grade 7 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

The motivation for this was the difficulty learners have with measures of centre of grouped data, and no doubt many otherlearners too. I’ve spent years trying to demonstrate the interval in which the median lies, and watched learners who appeared to follow the method for mean of grouped data, only to watch them go to pieces on tests. So this time I went for kinaesthetic and colourful, my main aim always. The documents are in Word so you can cut my photo if you want. I’ve thrown in a couple of real questions, and there are plenty more about, but very easy to make up in this style. All images (c)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

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.

‘Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8); change repeating 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.

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.

Maths KS3 or KS4 revision. Trigonometric ratios, moving from tan to sine and cosine. Everything you need for a full lesson or two to develop trigonometry from the tangent ratio to sine and cosine. Let the learners tackle the activities, or guide them through with PowerPoint presentations. Presentations, worksheets, activities and solutions. Please leave comments, suggestions or corrections.

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.

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 to deliver a full lesson (or two) to introduce trigonometry through similar triangles and the tangent function. Presentation, activities, worksheets, along with answers, covering all aspects of the Common Core Standards. Please leave comments, suggestions or corrections.

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.

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. Common Core Standards Grade 5 upward. In PDF or Word for editing and adopting.

Math Fractions Grade 4. Add and subtract fractions with like denominators. 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. Makes a colorful and hands-on experience for the students.

Finding the volume of right rectangular prisms (cuboids in the UK), with a big selection of worksheets, from simple counting of cubes to working backwards from the volume to find other dimensions. Plus harder questions in the style exams. (Worksheets call them cuboids, as in UK maths, but should not be a problem.)

Math Grades 3 & 4 Equivalent Fractions. Multiple resources to look at, and learn, equivalent fractions, for Grades 3 and 4, but also great for revision before addition and subtraction. Colorful presentations including 'fraction chains', lots of authentic types of questions, and lots of activities for coloring in fractions. Everything for a wide range of abilities.

Specs Year 4'Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.' Year 5 'Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.' Thirty slides on an animated PowerPoint to introduce recognition of Roman numerals, and explore the advantage of Arabic numerals. Plus lots of activities/worksheets, including Emperors' reigns, Roman roads, Olympiads, Children's TV (years), and answers. All great fun, and could be cross-curricular.

Batch of ten worksheets in the style of test questions in Word and PDF. Topics A through to G. Look out for batches two and three. Great for lots of things, and very popular.

‘Tell and write the time from an analogue clock, including using Roman numerals from I to XII.’ Powerpoint introduction with lots of questions and handout, worksheets in Word and pdf, plus lots of real examples of clock faces. All you need to give the learners an initial experience, with recap and reviews.

Grade 8 – ‘Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.’ PowerPoint to introduce the rules of integer exponents, using number and with lots for the learners to do, and which can be used as a prelude to algebraic manipulation of exponents and radicals. Refresher activity on Grade 6 powers and radicals, plus a worksheet on more complex examples for high schools. And a single page 'matching' activity in PowerPoint or PDF.

A PowerPoint presentation to explore the nature of Scientific notation, deriving the methods. Simple worksheet on conversions and another on calculations. Plus card matching activity and pair-matching activity. Everything to teach and explore the subject. Grade 8 – Multiple resources for teaching powers of 10 and scientific notation. Presentation, worksheets and activities. 3. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. 4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.