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

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

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

A lesson covering rules for finding interior and exterior angles in polygons. Includes a worksheet with answers and a load of challenge questions from the UKMT papers. I really like to use this with the excellent 'Angles in Polygons Challenge' worksheet uploaded by the legendary Tristan Jones! https://www.tes.com/teaching-resource/angles-in-polygons-challenge-6443005

A while ago I uploaded a set of resources on calculating the areas of shapes on flags, see here: https://www.tes.com/teaching-resource/areas-of-flags-6327719 A number of people messaged me asking if I had one for circles - and here is is now! I had to get creative with finding flags I could use, and I’d recommend that you have already had a lesson on Area and Circumference before this, as the questions get very challenging! Thank you to @1hannahjones for making a number of corrections and clarifications! If you like this resource, then please check out the rest of my stuff! https://www.tes.com/teaching-resources/search/?f=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

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 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! :)

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

Improved version of an older resource of mine. Pupils are shown some simple graphs (horizontal, vertical, and diagonals based on y = x and y = -x), and have to try and use these graphs to create shapes. It is essential that pupils always label their lines and for the plenaries they can share some of their answers on the board. If you like this resource then please check out my other things on the TES site! :)

As with Chris Smith's group challenges, we have also built his Maths relays (https://www.tes.co.uk/teaching-resource/maths-relay-races-problem-solving-puzzles-6064073) into our Y7 scheme of work. They have proven to be very popular with the pupils, and we therefore needed some for Y8 as well - so I made some! The instructions give a few ideas that make these run more smoothly! The majority of the problems have been taken from elsewhere so are not all my own work. If you like this resource then please check out my other stuff on TES! :)

Quite a varied selection of Diagrams for pupils to try and interpret and draw conclusions from. A bit more interesting than the standard Bar/Line/Pie Chart or Pictogram lesson! I usually print these as colour A4 booklets and give the students 2 lessons to work through them and explain their thoughts. If you liked this resource then please check out my others (all free!)

2 lesson sequence on Completing the Square. The first lesson pupils are introduced to the pattern and how to rewrite expressions under various conditions. The second lesson pupils actually use the process to solve equations. This has been made to go with our IGCSE textbooks but I imagine most courses structure it in a similar way! If you like this resource then please check out my other stuff on TES! :)

2 powerpoints to help with the teaching of Linear programming. They contain starters, main activities and plenaries, and have been made to go with the Cambridge IGCSE course and textbook. Of course they could be adapted though! 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! :)

Powerpoints to help with the teaching of the Sine rule, Cosine rule and the Area of a Triangle using Sine. I have included explanations of how the rules are derived in case your class are interested. Also in the Area of a Triangle using Sine powerpoint, I included an example of using it to calculate a formula for Pi! (Which a lot of the kids always seem to write down!). If you like this resource then please check out my other stuff on TES! :)

Pupils investigate what happens when the increase one of the dimensions of a cuboid by 1 unit repeatedly, and plot their results on a graph. They then try to explain their findings. Can be extended to Surface Area as well. If you like this resource then please check out my other stuff on TES! :)

I'm a big fan of the excellent group challenges created and uploaded to the TES by Chris Smith (https://www.tes.co.uk/teaching-resource/Maths-Group-Challenges-Puzzle-Sheets-6179530), so much so that we have built them into our scheme of work. However, we ran out, so I made some more. Please let me know if there are any mistakes! The puzzles are mostly things I have found on the internet and in books so are not my own work. If you like this resource then please check out my other stuff on TES! :)

These lessons are designed to go with the IGCSE course and the CIE Extended textbook. The first shows pupils how to transform a shape by multiplying its coordinates by a Matrix, and pupils should experiment to see if they can find any specific transformations. The second lesson, pupils are shown how to work out a specific transformation. These follow on from my other resource on Matrix Algebra (also on TES). If you like this resource then please check out my other stuff! :)

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! :)