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! Edit: Added a 12th pattern for 4 squares that I had missed!

All you need for an investigation into Pick's theorem, linking the dots on the perimeter of a shape and the dots inside it to it's area (when drawn on square dotty paper!) You will need to write on a few of the slides. 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 can learn about fractions by doing divisions the Egyptian way! For a more exciting powerpoint, please check out cbarclay99’s at this link: http://www.tes.co.uk/teaching-resource/Egyptian-Fractions-6255731/ If you like this resource then please check out my other stuff on here! :)

Another set of 5 group challenge sheets for pupils to work on in groups over the course of a lesson. The vast majority of the problems are not my own, having been scavenged from many areas over the years! If you like this resource then please check out my other stuff on TES! :) The original set of group challenges from the superb Chris Smith: https://www.tes.com/teaching-resource/maths-group-challenges-puzzle-sheets-6179530 My first set of 5 based on those: https://www.tes.com/teaching-resource/more-maths-group-challenges-11011518

This is a lesson we do near the start of the year with our Year 7 pupils. The idea is to get them thinking as much as possible about how they can improve, rather than whether they are good or not, which is a common problem in Maths. The video explains things very well and there is a short activity on rewording your thoughts. This lesson is most effective when you refer back to it during the year when giving feedback or when you sense the 'fixed mindset' coming back. Just doing the lesson then forgetting about it probably won't be as effective! If you like this resource then please check out my other stuff on TES! :)

Lesson on solving equations with an x squared term in. However, these do not also contain an x term meaning they do not need to be solved by factorisation. The idea is that pupils practise solving these as they would a linear equation, but appreciate the possibility of more than 1 answer when they square root. If you like this resource then please check out my other stuff on here!

An investigation into traversable networks, centred around solving the Konigsberg problem. Pupils decide whether a number of networks are traversable or not and then look for patterns in their results. Includes everything you need to just do the lesson! If you like this please check out my other stuff on here! :)

Pupils get shown several shapes which are to be represented by letters. They then have to state the areas of some compound shapes algebraically, which are made up of the original ones. If you like this resource then please check out my other stuff on here! :)

Pupils have to answer several true or false statements relating to whether multiples can be made using numbers in a list (have a look at the worksheet and you'll get the idea!) They then have to try and come up with clear explanations as to why the statements are true or false, and there is the opportunity to use algebra. Can be extended into longer lists and multiples of larger numbers. If you like this resource then please check out my other stuff on here! :)

Lesson on using the Quadratic formula with Pythagoras' Theorem to answer questions involving right-angled triangles with all sides unknown, but with information linking them. Will probably challenge even the most able of GCSE students! If you like this resource then please check out my other stuff on here!

Students have to try and work out which expression will give the biggest answer when a value for x is substituted in. Of course, it isn't that simple and they find that the answer varies depending on the value used. It is a good opportunity for them to consider how drawing graphs can help find whereabouts solutions might lie. I have also included some blank autograph axes which can be used to plot the graphs more dynamically and find what regions are highest for each. Extension questions could include finding expressions where one is always bigger, one which is higher above a specific value for x etc. Lots of opportunity for extension - students could also use Autograph themselves to experiment! If you liked this resource, then please check out my other stuff on TES! :) https://www.tes.com/resources/search/?authorId=2095097

Lesson on plotting graphs of two Car Hire companies and interpreting the shape of the graphs and what their 'features' actually mean. If you like this resource then please check out my other stuff on here!

These lessons have been made to go with the IGCSE course but could easily be adapted. Pupils learn how to write equations for quantities linked by Direct or Inverse Proportion. 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!

This is a better version of something I uploaded onto here a while ago. Pupils have to use probability, the cost of playing a game and prize money to determine whether fairground games are worth playing or not. There should be plenty of work here and could be extended into creating their own games that they would make a profit on! 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

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! :)

In this lesson, students learn what iteration is and see an example of how it was used to calculate square roots of non-square numbers. There is an explanation of the notation involved and students get to try the process out for themselves. Could be used as an introduction to the topic. If you liked this resource, please check out my other stuff on TES! https://www.tes.com/teaching-resources/shop/Owen134866

Three lessons on showing pupils some methods of doing 2 digit multiplications mentally (such as using the difference of 2 squares). I've not gone into the Vedic method here although it could be a good 4th lesson to show them how to multiply any two 2-digit numbers. The numbers they use in these lessons satisfy certain conditions which makes the calculations easier! If you like this resource then please check out my other stuff on here!