Pupils roll dice and simplify the fractions they get on the grid, with the person with the biggest fraction getting a point. I usually play 10 rounds and then pupils move round and play someone else. They can also discuss at the end whether the game was fair and how to determine whether it was or wasn't. Sometimes if the class is small I record results on the board (like football scores) and get them to draw a up a league table! If you like this resource then please check out my other stuff on here! :)

Pupils investigate how to make a number pyramid have the largest number at the top, given some numbers they have to put at the bottom. They should then try to explain (algebraically if possible) why it works. Leads into Pascal's Triangle and I usually give them another lesson investigating whatever patterns they can find within it! The 1st page is for the lesson and the 2nd page with the triangle on it is for the investigation. If you like this then please check out my other stuff on here! :)

Powerpoints that show pupils how to transform shapes by stretching and shearing. This was made to go with the Cambridge IGCSE course and textbook, which has plenty of questions for them to practice. If you like this resource then please check out my other stuff on here! :)

Lesson on the official formulae used to calculate the amount of points athletes get for different events of the Heptathlon. If you like this resource then please check out my other stuff on here!

This sequence of 4 lessons is based around students using probability to simulate the upcoming Euro 2016 tournament using dice. I have included an 'instructions' document explaining as well as I can how each lesson should go, but it is advisable to go through this as a faculty first and play it yourselves! If you have any questions or corrections that I need to make then please contact me. Please note that the lessons are heavily based on the work of TES uploader 'dannytheref', who created a similar set of resources for the World Cup 2014 (https://www.tes.com/teaching-resource/fifa-world-cup-2014-simulation-activity-6424677). There is also a similar activity on nRich (https://nrich.maths.org/1184). I also need to credit www.excely.com for the creation of the superb spreadsheet used within. If you like this resource, them please check out my other stuff on TES! https://www.tes.com/resources/search/?authorId=2095097

Students see how geometric sequences can be used to calculate distances on a guitar fretboard. There are several questions to discuss, and a lot of nice uses of formulae. Should also give them a nice practical example that isn't of the type often found in textbooks! If you like this resource then please check out my other stuff on TES (all free of course!)

Another set of 5 relays, this time aimed at Y9 students. Also included is an example of how I use them and a scoring sheet. Most of the questions have been pilfered from nRich or the UKMT, so are not my own work... If you like this resource then please check out my other stuff on here! https://www.tes.com/teaching-resources/shop/Owen134866 The relays are originally based on Chris Smith's set, uploaded here: https://www.tes.com/teaching-resource/maths-relay-races-problem-solving-puzzles-6064073 And my other set of 5 is here: https://www.tes.com/teaching-resource/more-maths-relays-11026512

This resource has been made to go with the IGCSE course but should be fine for others. Pupils see how to add Algebraic fractions, as well as deal with some equations with fractions in. There are quite a few topics which need covering before this lesson! If you like this resource then please check out my other stuff on TES! :)

Pupils have to make the numbers from 1-50 using 1, 2, 3, and 4 once each only. They can use any operations as well as indices and factorials. Includes a sheet of possible answers! If you like this resource then please check out my other stuff on here!

A lesson on the rules Diophantus came up with to create Pythagorean Triples. The main challenge is for higher ability pupils to prove why his method works using algebra. Weaker higher level pupils should still be able to do the numerical version though, and possibly start on the algebraic one... If you like this resource then please check out my other stuff on here!

Lesson on using Probability to decide whether games are worth playing, based on the cost of playing and the potential winnings. If you like this resource then please check out my other stuff on here!

2 lessons on using Algorithms to generate sequences and coordinate pairs. Good for stretching some high ability pupils with some (probably) new Algebraic notation for them. Also has worksheets for them to do. If the shapes in the Algorithms are wrong, please let me know so I can correct them! if you like this resource them please check out my other stuff on TES! :)

Pupils plot graphs of the world records in some events over the last century. They try to explain differences in their graphs and why they take the shape they do. If you like this resource then please check out my other stuff on here!

Pupils use Maths to calculate the average speed of runners in various Olympic races and plot a graph of their results. They then try to explain the data by interpreting their graphs. If you like this resource then please check out my other stuff on here!

Pupils get given 3x3 grids and must shade any number of squares so the grid has reflection symmetry. They need to try and find the total number of ways that this is possible (they hopefully will not need as many grids are as on the worksheet). It is important that they try to be logical in the way they do it! If you like this resource then please check out my other stuff on here!\n\nEdit: Added a 12th pattern for 4 squares that I had missed!

I use this lesson after teaching pupils some of the basics of Algebra. They perform 2 operations on a number and write down the answer. Then, they swap the operations around and write the answer for that as well. They should notice that the difference between the answers follows some kind of pattern, and then have to try and use some algebra to explain it. If you like this resource then please check out my other stuff on TES! :)

I have a shape, created by folding another shape in half. What could the original shape have been? Lots of questions on this idea (you have to look at it to properly understand what it is all about!). You will need to write on the powerpoint in the plenary... Thanks to Fred Angus for originally giving me the idea! If you like this then please check out my other stuff on TES (all on my profile!) :)

Pupils should work in pairs or threes, drawing right-angled triangles of various sizes in their books. They then work out the height to base ratio and the angle that goes with them (effectively creating a 'Tan' table). There is then some discussion of how to use this to answer questions. You will have to write on the powerpoint at some point! You could probably then create a follow up lesson which is a bit more practical... If you like this resource then please check out my other stuff on here!

Pupils learn how to estimate square roots of numbers using only a pencil, ruler and a pair of compasses. Originally discovered by Rene Descartes, it is based around Pythagoras' Theorem (a proof is included in the powerpoint). If you like this resource then please check out my other stuff on here! :)

Pupils are shown how to describe Horizonal, Vertical and some basic Diagonal lines (such as x = 1, y = -2, y = x etc...) They then use these lines to create shapes on a coordinate grid, ensuring they label the lines every time... If you like this resource then please check out my other stuff on here!