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

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!

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! :)

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 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!

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! :)

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

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 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!

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!

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!

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!

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! :)

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!

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