Grade 4 Presentation warm up, two more sequences sets on PowerPoint, and two worksheets, the second quite challenging. Plus a ‘sticks and dots’ pattern set with lots of pictures. '5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.'

All you need for a lesson covering: derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons. A simple example of a triangle sum proof, an investigation into angle sums in both PowerPoint and Word, for classwork or individual work, and plenty of questions for learners to try. Plus a PowerPoint illustrating a variety of tessellation for learners to consider the geometry involved, and hence deduce necessary angle properties.

A full set of resources for developing transformations at G8 or build upon my other resource at lower grades. An introduction of the four transformations, or review of symmetry, which can be done by children on an interactive board. Then a full presentation of rotations, reflections, translations and enlargements, with lots for the learners to try. Plus a worksheet with eight questions from exams to complete. A multiple choice quiz for plenary or recap in the next lesson. An exciting lesson that reviews and builds upon existing knowledge. 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.

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

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

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.

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.

Three PowerPoint presentations including multiple choice quiz. Plus two worksheets of exam-style questions.

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

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 you need for a lesson (or two) on creating, reading and interpreting box and whisker plots. Starter activity on PowerPoint to review stem and leaf diagrams; a presentation in PowerPoint on creating, reading and interpreting a box plot with two examples; learner activities, questions in Word or PDF; a plenary presentation in PowerPoint to check learning; and a lesson plan to make the whole thing complete.

Everything you need for a lesson (or two) on producing a cumulative frequency graph. Starter activity on PowerPoint to review discrete and continuous data; a presentation on drawing a cumulative frequency graph with two examples; learner activities, four questions in Word or PDF; a plenary presentation to check learning; and a lesson plan to make the whole thing complete.

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.

Addition and subtraction of fractions with the same denominator - UK specs for KS2, Year 3. Great of a bit of revision in Year 4, but learners forget this stuff at every age! Presentation with lots of images and questions, each followed by the answer, or a cut down version with just the questions, and a handout version for the learners to record their own solutions. Colourful, and aiming for class engagement. Plus two worksheets/activities that get the learner shading the fraction sums with a variety of shapes, to see the connection, and a mixed page of addition and subtraction for the learners to complete.

Two simple multiple-choice quizzes covering addition and subtraction. The first is simple halves, quarters and eighths; the second covers halves, third, sixths, fifths and tenths. Aimed at year 5, but great for revision in year 6 before they search for common denominators. And good for KS3 and KS4 revision. Illustrated throughout, with answer slides after each question.