Maze consists of squares containing questions (on addition, subtraction, multiplication and division of fractions) with answers, some of which are wrong. Pupils are only allowed to pass through squares containing correct answers. Extension - pupils design their own maze (I like to discuss how they can make their maze harder by including classic misconceptions). Extra worksheet included to help pupils think about misconceptions (warning - this may well confuse weaker pupils!)

A fun 'investigation&' using ratio and problem solving skills. Slightly dark theme of thieves sharing the profits of different robberies. Made by another TES user &';taylorda01' (thanks for the resource!) but I wanted to add answers to it.

Inspired by the Transformers cartoon/film/toys, pupils turn robots into vehicles using a mixture of shape transformations (translations, reflections, rotations and enlargements). Animated answers included. Great homework potential for pupils to design their own!

Starts with the basic tests for numbers up to 10, then looks at tests for higher numbers and finally problem solving using divisibility tests. Also looks at proofs of some of the tests using algebra. Worksheets at end for printing.

Maze consists of squares containing questions with answers, some of which are wrong. Pupils are only allowed to pass through squares containing correct answers. Extension - pupils design their own maze. I like to discuss how to make the maze harder by including classic misconceptions like divide by 5 to get 5%

A complete lesson on finding a term given its a position and vice-versa. Activities included: Starter: Recap questions on using an nth term rule to generate the first few terms in a linear sequence. Main: Short, simple task of using an nth term rule to find a term given its position. Harder task where pupils find the position of a given term, by solving a linear equation. Plenary: A question to get pupils thinking about how they could prove if a number was a term in a sequence. No worksheets required, and answers are included. Please review it if you buy as any feedback is appreciated!

A complete lesson on the theme of star polygons. An excellent way to enrich the topic of polygons, with opportunities for pupils to explore patterns, use notation systems, and make predictions & generalisations. No knowledge of interior or exterior angles needed. The investigation is quite structured and I have included answers, so you can see exactly what outcomes you can hope for, and pre-empt any misconceptions. Pupils investigate what happens when you connect every pth dot on a circle with n equally spaced dots on their circumference. For p>1 this generates star polygons, defined by the notation {n,p}. For example, {5,2} would mean connect every 2nd dot on a circle with 5 equally spaced dots, leading to a pentagram (see cover image). Pupils are initially given worksheets with pre-drawn circles to explore the cases {n,2} and {n,3}, for n between 3 and 10. After a chance to feedback on this, pupils are then prompted to make a prediction and test it. After this, there is a set of deeper questions, for pupils to try to answer. If pupils successfully answer those questions, they could make some nice display work! To finish the lesson, I’ve included a few examples of star polygons in popular culture and a link to an excellent short video about star polygons, that references all the ideas pupils have considered in the investigation. I’ve included key questions and other suggestions in the notes boxes. Please review if you buy as any feedback is appreciated!

A complete lesson on the theorem that a perpendicular bisector of a chord passes through the centre of a circle. Assumes pupils can already use the theorems that: The angle at the centre is twice the angle at the circumference The angle in a semicircle is 90 degrees Angles in the same same segment are equal .Opposite angles in a cyclic quadrilateral sum to 180 degrees A tangent is perpendicular to a radius Angles in alternate segments are equal Tangents from a point are equal so that more varied questions can be asked. Please see my other resources for lessons on these theorems. Activities included: Starter: An animation reminding pupils about perpendicular bisectors, with the intention being that they would then practice this a few times with ruler and compass. Main: Instructions for pupils to investigate the theorem, by drawing a circle, chord and then bisecting the chord. Slides to clarify the ‘two-directional’ nature of the theorem. Examples of missing angle or length problems using the theorem (plus another theorem, usually) A similar set of eight questions for pupils to consolidate. An extension prompt for pupils to use the theorem to locate the exact centre of a given circle. Plenary: An animation of the proof without words, the intention being that pupils try to describe the steps. Printable worksheets and answers included. Please review if you buy, as any feedback is appreciated!

A complete lesson on area of rectilinear shapes, with a strong problem solving and creative element. Activities included: Starter: See cover slide - a prompt to think about properties of shapes, in part to lead to a definition of rectilinear polygons. Main: A question for pupils to discuss, considering which of two methods gives the correct answer for the area of an L-shape. A worksheet showing another L-shape, 6 times with 6 different sums. Pupils try to figure out the method used from the sum. A second worksheet that is really hard to describe but involves pupils thinking critically about how the area of increasingly intricate rectilinear shapes can have the same area. This sets pupils up to go on to create their own interesting shapes with the same area, by generalising about the necessary conditions for this to happen, and ways to achieve this (without counting all the squares!) A third worksheet with more conventional area questions, that could be used as a low-stakes test or a homework. Most questions have the potential to be done in more than one way, so could also be used to get pupils discussing and comparing methods. Plenary: A final question of sorts, where pupils have to identify the information sufficient to work out the area of a given rectilinear shape. Printable worksheets and answers included. I’ve also included suggestions for key questions and follow up questions in the comments boxes at the bottom of each slide. Please review if you buy as any feedback is appreciated!

A complete lesson on patterns of growing shapes that lead to quadratic sequences. See the cover image to get an idea of what I mean by this. Activities included: Starter: A matching activity relating to representation of linear sequences, to set the scene for considering similar representations of quadratic sequences, but also to pay close attention to the common sequences given by the nth term rules 2n and 2n-1 (ie even and odd numbers), as these feature heavily in the lesson. Main: A prompt to give pupils a sense of the intended outcomes of the lesson (see cover image). An extended set of examples of shape sequences with increasingly tricky nth term rules. The intention is that pupils would derive an nth term rule for the number of squares in each shape using the geometry of each shape rather than counting squares and finding an nth term rule from a list of numbers. A worksheet with a set of six different shape sequences, for pupils to consider/discuss. The nth term rules have been given, so the task is to justify these rules by considering the geometry of each shape sequence. Each rule can be justified in a number of ways, so this should lead to some good discussion of methods. Plenary: Ideally, pupils would share their differing methods, but I’ve shown a few methods to one of the sequences to stimulate discussion. Printable worksheets (2) included. Please review if you buy as any feedback is appreciated!

A complete lesson for first teaching how to divide fractions by fractions. Activities included: Starter: A set of questions on multiplying fractions (I assume everyone would teach this before doing division). Main: Some highly visual examples of dividing by a fraction, using a form of bar modelling (more to help pupils feel comfortable with the idea of dividing a fraction by a fraction, than as a method for working them out). Examples and quick questions for pupils to try, using the standard method of flipping the fraction and multiplying. A set of straightforward questions. A challenging extension where pupils must test different combinations and try to find one that gives required answers. Plenary: An example and explanation (I wouldn’t call it a proof though) of why the standard method works. Optional worksheets (ie everything could be projected, but there are copies in case you want to print) and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson on types of polygon, although it goes well beyond the basic classifications of regular and irregular. This lesson gives a flavour of how my resources have been upgraded since I started charging. Activities included: Starter: A nice kinesthetic puzzle, where pupils position two triangles to find as many different shapes as they can. Main: A slide of examples and non-examples of polygons, for pupils to consider before offering a definition of a polygon. A slide showing examples of different types of quadrilateral . Not the usual split of square, rectangle, etc, but concave, convex, equilateral, equiangular, regular, cyclic and simple. This may seem ‘hard’, but I think it is good to show pupils that even simple ideas can have interesting variations. A prompt for pupils to try and draw pentagons that fit these types, with some follow-up questions. A brief mention of star polygons (see my other resources for a complete lesson on this). Slides showing different irregular and regular polygons, together with some follow-up questions. Two Venn diagram activities, where pupils try to find polygons that fit different criteria. This could be extended with pupils creating their own Venn diagrams using criteria of their choice. Could make a nice display. Plenary: A table summarising the names of shapes they need to learn, with a prompt to make an educated guess of the names of 13, 14 and 15 sided shapes. Minimal printing needed and answers included where applicable. I have also added key questions and suggested extensions in the notes boxes. Please review if you buy as any feedback is very much appreciated.

A complete lesson with a focus on angles as variables. Basically, pupils investigate what angle relationships there are when you overlap a square and equilateral triangle. A good opportunity to extend the topic of polygons, consider some of the dynamic aspects of geometry and allow pupils to generate their own questions. Prior knowledge of angles in polygons required. Activities included: Starter: A mini-investigation looking at the relationship between two angles in a set of related diagrams, to recap on basic angle calculations and set the scene for the main part of the lesson. Main: A prompt (see cover image) for pupils to consider, then another prompt for them to work out the relationship between two angles in the image. A slide to go through the answer (which isn’t entirely straight forward), followed by two animations to illustrate the dynamic nature of the answer. A prompt for pupils to consider how the original diagram could be varied to generate a slightly different scenario, as a prompt for them to investigate other possible angle relationships. I’ve not included answers from here, as the outcomes will vary with the pupil. The intention is that pupils then investigate for themselves. Plenary: Another dynamic scenario for pupils to consider, which also reinforces the rules for the sum of interior and exterior angles. Please review if you buy as any feedback is appreciated!

A complete lesson for first teaching how to divide fractions by whole numbers. Activities included: Starter: A simple question in context to help pupils visualise division of fractions by whole numbers. Main: Some example and questions for pupils to try. A set of straightforward questions. A challenging extension where pupils must think a lot more carefully about what steps to take. Plenary: A final example designed to challenge the misconception of division leading to an equivalent fraction, and give a chance to reinforce the key method. Worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson for first teaching how to divide whole numbers by fractions. Activities included: Starter: A set of recap question to test if pupils can simplify improper fractions. Main: Some highly visual examples of dividing by a fraction, using bar modelling (more to help pupils feel comfortable with the idea of dividing by a fraction, than as a method for working them out). Two sets of straightforward questions, the first on dividing by a unit fraction, the second on dividing by a non-unit fraction, moving from integer answers to fractional answers. An extension where pupils investigate divisions of a certain format. Plenary: Two more related examples using bar modelling, to reinforce the logic of the method used for division by a fraction. Answers included to all tasks. Please review if you buy as any feedback is appreciated!

A complete lesson for first teaching the concept of equivalent fractions. Activities included: Starter: Some ‘fill the blank’ multiplication and division questions (basic, but a prerequisite for finding equivalent fractions with a required denominator or numerator). Main: Visual examples using shapes to introduce concept of equivalent fractions. A worksheet where pupils use equivalent fractions to describe the fraction of a shape. Examples and quick-fire questions on finding an equivalent fraction. A worksheet with a progression in difficulty on finding an equivalent fraction. A challenging extension task where pupils look at some equivalent fractions with a special property. Plenary: A statement with a deliberate misconception to stimulate discussion and check pupils have understood the key concepts. Worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson (or maybe two) for introducing the area rule of a circle. Activities included: Starter: A mini-investigation where pupils estimate the area of circles on a grid. Main: Quickfire questions to use with mini whiteboards. A worksheet of standard questions with a progression in difficulty. A set of three challenging problems in context, possibly to work on in pairs. Plenary: Link to a short video that ‘proves’ the area rule very nicely. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A complete lesson designed to first introduce the concept of angle. The lesson is very interactive, with lots of discussion tasks and no worksheets! Activities included: Starter: A link to a short video of slopestyle footage, to get pupils interested. The athlete does a lot of rotations and the commentary is relevant but amusing. The video is revisited at the end of the lesson, when pupils can hopefully understand it better! Main: Highly visual slides, activities and discussion points to introduce the concepts of angle as turn, angle between 2 lines, and different types of angle. Includes questions in real-life contexts to get pupils thinking. A fun, competitive angle estimation game, where pupils compete in pairs to give the best estimate of given angles. A link to an excellent video about why mathematicians think 360 degrees was chosen for a full turn. Could be followed up with a few related questions if there is time. (eg can you list all the factors of 360?) Plenary: Pupils re-watch the slopstyle video, and are then prompted to try to decipher some of the ridiculous names for the jumps (eg backside triple cork 1440…) Includes slide notes with suggestions on tips for use, key questions and extension tasks. No printing required for this one! Please review if you buy as any feedback is appreciated!

A complete lesson on solving two step equations of the form ax+b=c using the balancing method. Designed to come after pupils have solved using a flowchart/inverse operations. Activities included: Starter: A set of questions to check that pupils can solve one step equations using the balancing method. Main: A prompt for pupils to consider a two step equation. An animated solution to this equation, showing physical scales to help reinforce the balancing idea. An example-problem pair, to model the method and allow pupils to try. A set of questions with a variation element built in. Pupils could be extended by asking them to predict answers, or to explain the connections between answers after finishing them. A related, more challenging task of solving equations by comparing them to a given equation, plus a suggested extension task for pupils to think more mathematically and creatively. Plenary: A closer look at a question, looking at the two different balancing approaches that could be taken (see cover slide). Depending on time, pupils could go back and attempt the previous questions using the second approach. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson looking at the effect of multiplying and dividing integers and decimals by 10, 100 and 1000. Activities included: Starter: A prompt for pupils to share any ideas about what the decimal system is. Images to help pupils understand the significance of place value. Questions that could be used with mini whiteboards, to check pupils can interpret place value. Main: A worksheet where, by repeated addition, pupils investigate the effect of multipliying by 10, initially with whole numbers but later with decimals. A slide to summarise these results, followed by some more mini whiteboard questions to consolidate. A prompt for pupils to use a calculator to investigate the effect of multiplying or dividing by positive powers of 10, followed by slides to help pupils reflect on their findings, and provide notes for all pupils. A related game for pupils to play (connect 4). Plenary: A very brief, bulleted summary of the history of the decimal system and the importance of the invention of zero. Printable worksheets included. Please review if you buy as any feedback is appreciated.