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! :)

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! :)

Lesson on the official formulae used to calculate the amount of points athletes get for different events of the Heptathlon. An important part is the discussion afterwards as to whether the scoring system is fair or not (an article is linked in the powerpoint) If you like this resource 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! :)

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!

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 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!

Lesson where students learn to calculate the midpoint between two coordinates, but then apply this to sides of shapes on coordinate axes and discuss what they notice. Could be extended to more polygons and the more able can try to explain the 'why' behind the patterns they find. If you like this resource then please check out my other stuff on TES! :) https://www.tes.com/resources/search/?authorId=2095097

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

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 is an eight lesson sequence designed to review fractions and percentages work, and lead onto using ratio in problem solving. Every lesson has a starter, explanation and plenary in a powerpoint, along with a worksheet with a variety of difficulty of questions (some taken from the UK Maths challenges), all with answers. It is a part of a much bigger library of resources that can be found here: https://www.tes.com/teaching-resource/maths-free-resource-library-6439409 If you liked this resource then please check out my other things on the TES site!

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!

Inspired by some UKMT questions, I made a lesson showing students how they can apply their knowledge of graphs to help with some geometry problems. Students see how placing a set of axes on a geometrical picture can help with changing the problem into an algebraic one instead. Ideally this lesson would come after doing some lessons on straight line graphs (the starter contains reminders of things they will need to be able to do to access it). If you like this resource then please feel free to check out my other stuff on TES! https://www.tes.com/teaching-resources/shop/Owen134866

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!

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!

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!)

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!

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!

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!

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! :) EDIT 30/10/13: Improved the sheet so the dots are smaller!