An excel file that shows pi as the ratio of circumference / diameter for a circle

Classic quiz with questions on linear equations, including unknowns on both sides, brackets and simple algebraic fractions. Answers on each slide by clicking on orange squares. Hope no-one minds my use of an image of Bob Holness - he will always be the face of Blockbusters to me!

Hard to describe! Shows how the functions sin and cos effect the trajectory of a cricket ball. A nice real-life example of SOHCAHTOA and the trigonometric functions. Includes some challenging questions at the end. Could be used to revise/demonstrate the curves of sin and cos at GCSE or introduce component form in A-Level Mechanics.

A very simple but motivating game where pupils race to complete a grid of times tables. Separate instructions attached. Also a spreadsheet which reveals answers and can be used to keep track of pupil progress (I maintain records of pupils' personal bests on there). A good task for settling a class that requires minimal preparation.

A simple but adaptable interactive picture quiz in powerpoint to dress up asking questions - ideal for starters or plenaries. Think Catchphrase but with 2 different images for 2 teams and pictures of anything you fancy. You provide the questions. See separate instructions.

Based on the card game, pupils use their percentage and fibbing skills to win.

A GSP file (requires Geometer's Sketchpad software to open) which measures, for a right-angled triangle, the sides and ratios sin, cos and tan. The triangle can be changed dynamically. Also shows the graphs of the ratios. Could be used to introduce trigonometric ratios, explain the graphs of sine, cosine and tangent up to 90 degrees or to generate questions on SOHCAHTOA.

Worksheet where answers to questions are used to obtain a 3-digit code (which I set as the combination to a lockable money box containing a prize). Questions on all aspects of parametric functions as seen in C4

A treasure hunt/follow me activity on circle theorems.

A complete lesson on increasing or decreasing by a percentage. Activities included: Starter: A template for pupils to work out lots of different percentages of £30 Main: Examples and a set of straight-forward questions making percentage changes. A connect 4 game for pupils to play in pairs, taking it in turns to work out percentage changes and win squares on a grid. A few questions to discuss about the game. A puzzle where pupils arrange numbers and percentage change statements to make a loop. Plenary: Some examples looking at making a percentage decrease a different way - eg decreasing by 25% by directly working out 75% Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson on expressing a change as a percentage. Activities included: Starter: A puzzle to remind pupils of how to make a percentage change. Main: Examples and quick questions for pupils to try, on working out the percentage change. A worksheet with a progression in difficulty and a mix of question types. An extension task involving a combination of percentage changes. Plenary: A ‘spot the mistake’ question. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

The second of two lessons on Fibonacci sequences with the 9-1 GCSE specification in mind. Please see my other resources for the first lesson, although this also works as a stand-alone lesson. Inspired by a sample exam paper question where pupils had to work out the first two terms of a Fibonacci sequence, given the 3rd and 6th terms. Activities included: Starter: A set of simultaneous linear equation questions, to check pupils can apply the basic method. Main: A nice puzzle to get pupils thinking about Fibonacci sequences. Examples and a set of questions with a progression in difficulty, on the main theme of finding the first terms using simultaneous linear equations. A lovely extension puzzle where pupils investigate a set of Fibonacci sequences with a special property. Plenary: A brief look at some other curious properties of the 1, 1, 2, 3, 5, … Fibonacci sequence, ending with a few iconic images of spirals in nature. Slides could be printed as worksheets, although lesson has been designed to be projected. Answers included throughout. Please review if you buy as any feedback is appreciated!

A complete lesson on finding the area of a sector. Activities included: Starter: Collect-a-joke starter on areas of circles to check pupils can use the rule. Main: Example-question pairs, giving pupils a quick opportunity to try and receive feedback. A straight-forward worksheet with a progression in difficulty. A challenging, more open-ended extension task where pupils try to find a sector with a given area. Plenary: A brief look at Florence Nightingale’s use of sectors in her coxcomb diagrams, to give a real-life aspect. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A complete lesson for introducing the area rule for a triangle. Activities included: Starter: Questions to check pupils can find areas of parallelograms (I always teach this first, as it leads to an explanation of the rule for a triangle). Main: A prompt to get pupils thinking (see cover image) Examples and a worksheet where pupils must identify the height and measure to estimate area. Examples and a worksheet where pupils must select the relevant information from not-to-scale diagrams. Simple extension task of pupils drawing as many different triangles with an area of 12 as they can. Plenary: A sneaky puzzle with a simple answer that reinforces the basic area rule. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

This started as a lesson on plotting coordinates in the 1st quadrant, but morphed into something much deeper and could be used with any class from year 7 to year 11. Pupils will need to know what scalene, isosceles and right-angled triangles are to access this lesson. The first 16 slides are examples of plotting coordinates that could be used to introduce this skill, or as questions to check pupils can do it, or skipped altogether. Then there’s a worksheet where pupils plot sets of three given points and have to identify the type of triangle. I’ve followed this up with a set of questions for pupils to answer, where they justify their answers. This offers an engaging task for pupils to do, whilst practicing the basic of plotting coordinates, but also sets up the next task well. The ‘main’ task involves a grid with two points plotted. Pupils are asked to plot a third point on the grid, so that the resulting triangle is right-angled. This has 9 possible solutions for pupils to try to find. Then a second variant of making an isosceles triangle using the same two points, with 5 solutions. These are real low floor high ceiling tasks, with the scope to look at constructions, circle theorems and trig ratios for older pupils. Younger pupils could simply try with 2 new points and get some useful practice of thinking about coordinates and triangle types, in an engaging way. I have included a page of suggested next steps and animated solutions that could be shown to pupils. Please review 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 tangents from a point are equal. 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 so that more varied questions can be asked. Please see my other resources for lessons on these theorems. Activities included: Starter: Instructions for pupils to discover the theorem, by drawing tangents and measuring. Main: Slides to clarify why this theorem usually involves isosceles triangles. Related examples, finding missing angles. A set of eight questions using the theorem (and usually another theorem or angle fact). Two very sneaky extension questions. 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 the theorem that a tangent is perpendicular to a radius. 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 so that more varied questions can be asked. Please see my other resources for lessons on these theorems. Activities included: Starter: Some basic recap questions on theorems 1 to 4 Main: Instructions for pupils to discover the rule, by drawing tangents and measuring the angle to the centre. A set of six examples, mostly using more than one theorem. A set of eight similar questions for pupils to consolidate. A prompt for pupils to create their own questions, as an extension. Plenary: A proof by contradiction of the theorem. Printable worksheets and answers included. Please do review if you buy, as any feedback is greatly appreciated!

A complete lesson on the alternate segment theorem. 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 so that more varied questions can be asked. Please see my other resources for lessons on these theorems. Activities included: Starter: Some basic questions to check pupils know what the word subtend means. Main: Animated slides to define what an alternate segment is. An example where the angle in the alternate segment is found without reference to the theorem (see cover image), followed by three similar questions for pupils to try. I’ve done this because if pupils can follow these steps, they can prove the theorem. However this element of the lesson could be bypassed or used later, depending on the class. Multiple choice questions where pupils simply have to identify which angles match as a result of the theorem. In my experience, they always struggle to identify the correct angle, so these questions really help. Seven examples of finding missing angles using the theorem (plus a second theorem for most of them). A set of eight similar problems for pupils to consolidate. An extension with two variations -an angle chase of sorts. 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 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!