Based on Dan Walker's resource I saw a while ago (https://www.tes.com/teaching-resource/san-gaku-6384597), I then made a set of Sangaku Problems - great to use in the build up to the UKMT challenges! If you like this resource then please check out my other stuff! https://www.tes.com/teaching-resources/search/?f=authorId%5B2095097%5D

Pupils investigate the Von Koch snowflake and try to find algebraic rules for its area and perimeter. The powerpoint includes handouts at the end as well as a starter and plenaries. Ultimately, the pupils will learn that the perimeter of the UK is infinite! :) If you like this resource then please check out my other stuff on TES!

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!

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

Pupils investigate which coordinates it is possible to draw a straight line to from the origin, without passing through any other coordinates. Can lead into highest common factor or be used after it! If you like this resource then please check out my other stuff on here! :)\n\nEDIT 30/10/13: Improved the sheet so the dots are smaller!

I made this based on something I found in my old Maths books from school. As it happens there is also a Boardworks slide which does this really well too. Pupils have to make as many Quadrilaterals as they can by joining points on a 3x3 grid. If you like this resource then please check out my other stuff on here!

I think I originally saw this idea on the TES website, but I can't remember where! Pupils investigate what amounts of money can be made with one of each coin up to a 50p piece. They can then investigate what extra coins they would need to make all the amounts up to 99p. There is also an extra extension where they can try to find a more effective coinage system for this! 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!\n\nIf you like this resource then please check out my other stuff on here!

Pupils practice Standard Form (which they should be familiar with before this lesson is taught), and learn about many of the prefixes used. For example changing milligrams to micrograms, how big is a yottametre compared to a picometre etc. Why say 1000 kilometres when you could just say 1 Megametre? They usually find all the names of units quite interesting! If you like this resource then please have a look at my other stuff on here! :)

Pupils have to use types of numbers (square/triangular etc) and their properties (even/odd/factors etc) in order to solve problems. The two puzzles used in the activity are not my own (I'm not sure where I originally found them...), but are excellent for pupils to discuss how to approach problems. If you like this resource then please check out my other stuff on TES! :)

Before doing this lesson, pupils should have seen perpendicular bisectors, angle bisectors, and constructing a perpendicular from a point to a line. The idea in this lesson is that pupils get asked, 'Where is the centre of a triangle?', and have to come up with ways to define what this means, and see if they can use a compass, ruler and pencil to find it. I tend to just pose the question and let them go to town on it! I have included some possibilities and how to construct them, but its more down to them to decide for themselves. There are also hyperlinks in blue where you can show them in more detail, and there are often some puzzled expressions when it seems possible that the centre isn't even in the triangle. Can even bring in centre of mass too! :) If you liked this resource, please check out my other stuff on TES! https://www.tes.com/teaching-resources/search/?f=authorId%5B2095097%5D

I had an idea like this a while ago but recently saw it again in a magazine so I decided to put it together as a lesson in my usual way. Pupils find formulae for quadratic sequences by considering patterns of dots and their shapes, rather than the actual numbers involved. There is a second lesson here as well where they can work backwards and create patterns of dots that fit a given formula... If you like this resource then please check out my other stuff on here!

Based on a 10 Ticks sheet, the pupils make a magic square by substituting numbers into very simple expressions. Also explains Algebraically why it works! This could be extended into 4x4 squares for higher ability groups. If you like this resource then please check out my other stuff on here!

This game is good for end of term lessons. You split the class into teams (3-4 works best). You roll 3 dice for each team and they have to use the numbers however they want (including as indices or factorials) to make numbers from 1-64. Points are awarded as explained in the powerpoint. It works best if you roll the dice for all teams to start with and roll after their go, that way they can think about what number to make while you go round the other teams. It might take a bit of practice to get then hang of this but pretty much every class I've played it with loves it!

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!

Tiles are put together to make a larger rectangle. The question is: If we draw a diagonal from one corner to the other, how many tiles will it cross? The pupils should investigate and see if they can find a rule. If you like this resource then please check out my other stuff on here!

This resource contains 3 sets of graphs to be matched with their transformations. There is also a question sheet with extra problems based on each set. The graphs were all produced for this resource using the fantastic Desmos graphing tool (www.desmos.com). If you like this resource then please check out my other resources on TES! https://www.tes.com/teaching-resources/shop/Owen134866

This is based on something I saw on the TES a while ago, but I couldn't find it again! The pupils have to plan flights on various continents using Bearings to work out the direction of travel, and Speed, Distance and Time calculations. There is a worksheet with choices of continents as well as a sheet of estimated 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! :)

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! :)