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 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.

Everything you need for a lesson (or two) on creating, reading and interpreting histograms. Starter activity on PowerPoint on finding the areas of rectangles drawn on a co-ordinate grid, and finding missing lengths; a presentation in PowerPoint on creating, reading and interpreting a histogram with three examples, with equal class intervals and unequal class intervals; learner activities, with questions in Word or PDF; and a plenary presentation in PowerPoint to check learning.

A full set of resources to deliver the construction and interpretation of frequency polygons. Includes warm up starter activity on collecting data, PowerPoint on how to draw a frequency polygon, activities for the learners to undertake, and a plenary slide-show with suitable questions for checking learning. All data genuine and gathered this year in the UK.

Everything you need for a lesson (or two) on reading and interpreting a cumulative frequency graph. Starter activity on PowerPoint to review average and range, with common mistakes and a more challenging question; a presentation in PowerPoint on reading and interpreting a cumulative frequency graph with two examples; learner activities, four questions in Word or PDF; a plenary presentation in PowerPoint to check learning.

Expanding Binomials and Factorising Quadratic Expressions Objectives: To be able to: • expand products of two binomials • factorise quadratic expressions of the form x2+ bx + c, including the difference of two squares All the research says that girls learn best by understanding, and that by far the best approach to expanding and factorising is by using the grid method. I’ve done this very successfully for years, and retention is greatly improved by giving as little input as possible, and giving the learners challenges to complete. Plus an investigation to give that stretch and challenge. A full set of resources for learning how to expand and factorise, with a PowerPoint that can be used for class discussion. Plus some extra exercises for homework or assessment in a subsequent lesson. And a reminder of multiplication and addition of positive and negative numbers for a quick warm-up. All answers included!

Everything for a great lesson developing geometric theorems and reasoning with circles. Matching cards activity with full solutions on PowerPoint, worksheet with corresponding presentation. 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 and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results. It builds on my other resource for grade 6+ Geometry. All images ©2015 Colin Billett

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.