Everything you need for one or two lessons on formulas. A quiz to review formulas and another to introduce and discuss the use of formulas. A PowerPoint presentation with lots of examples for the learners to try in a group setting. Three clearly differentiated worksheets of exam style questions to ensure learning. Common Core Math Standards: 'Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.' All images ©2015 Colin Billett.

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.

A great lesson for getting the learners to work together and do it for themselves. A matching card activity to get them started on a discussion of inequalities. A poster and a PowerPoint display are provided to remind learners of the symbols. An animated PowerPoint presentation of the solutions allows learners to say what they have before the answer pops up. A worksheet provides for consolidation of learning. And finally a quiz is provided for plenary, or recap at the start of the next lesson. This whole lesson always goes down very well in my classroom! And no work for teacher, after preparing the materials that is!

Two ways of approaching recognition and identifying properties of 3D shapes at Kindergarten and Grade 1. Either match the shape from the description, or name and identify the properties of the shape. I've split them into the Year 1 and Year 2, and done one with the solids required in both years. Some can be simply given out, and some could be printed on card and cut out for a matching activity. All in Word or PDF. Plus a word search with two versions. Plus a PowerPoint for class sharing and a PowerPoint showing real examples of each. UK common standards say, for Kindergarten and Grade 1 equivalent: 'Pupils handle and name a wide variety of common (…) 3-D shapes including: (…) cuboids, prisms and cones, and identify the properties of each shape (for example, number of sides, number of faces). Pupils identify, compare and sort shapes on the basis of their properties and use vocabulary precisely, such as sides, edges, vertices and faces.'

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.

A full set of resources for Properties of Plane Shapes at grades 1,2, and 3. Types of triangles, quadrilaterals and more. PowerPoint presentation with gaps to fill in, a matching names-to-definitions activity, two sets of activities and two set of questions for revision or assessment of learning. An exciting lesson that reviews and builds upon existing knowledge. Kids love it, and easy for teacher! All images © 2015 Colin Billett

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y. Card matching activity with rectangles in algebraic form, answers with and without brackets or parentheses. PowerPoint presentation with solutions for class checking. Worksheet of twelve questions each of expanding and factorizing using same method, with boxes. Second PowerPoint for starter or checking learning. Three more short worksheets of mixed questions. Plus ‘objectives’ slide. All you need for this straightforward topic, and lots of opportunity for discussion.

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.

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 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. 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

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

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

Ten multiple choice quizzes in MS Word covering functional mathematics – algebra and formulas, fractions, decimals, percentages, charts, graphs and tables, area and volume, measure, data handling, ratio, proportion, scale, probability, average and range. Designed for use with Level 2 16+ learners but suitable for lower levels at any age, or bright youngsters! All in Word for self-editing. Plus amplification and tracking sheets. 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