Five matching activities involving the Sine Rule, Cosine Rule and finding the area of a triangle using trigonometry. These are designed to show learning/demonstrate understanding whether as a starter or plenary but could be used all together as a lesson's main activity.

This was an idea one of my Year 10s gave me using the "Mean Girls" films. This covers basic mean, median and mode before moving on to stem-and-leaf (including IQR) and grouped data - there are three very distinct sections moving up in difficulty to enable you to start/end where you like. It's all on the powerpoint to save the planet (no worksheet) but everything can be copied and pasted to create a worksheet.

From drawing the next pattern to finding the nth term of an arithmetic sequence. Enjoy!

This is designed to get students to think about algebra and substitution as well as knowing properties of number. This is looking at what you can substitute into an expression or a formula (so that rearranging is involved) to produce a given property. This is intended to create discussion and each question has multiple answers, some of which could be generalised therefore creating extra challenge for those who require it.

This came about after a colleague of mine (a Spurs fan) was moaning about a VAR decision that prevented Spurs from winning a Champions League match. Another colleague (a Brighton fan this time) suggested we check the errors in measurement and this was born. It is a bit of an experiment and I am aware that error is built in to the systems but I thought it was a nice practical use of something we cover in GCSE Maths. There are four scenarios: one tennis, two cricket and one football; questions are quite wordy but need to be to explain the laws of the sports in question.

Six spiders on surface area and volume (3 of each) and a final "problems" spider. They are of increasing difficulty, moving from cubes and cuboids to prisms to cones, spheres and pyramids. These are designed to avoid students getting into a rut of performing a mathematical recipe by asking a mixture of finding surface area/volume to working backwards. These usually encourage discussion in class.

All triangles and quarilaterals plus a regular polygon slide with 8 statements that students must decide whether they are always, sometimes or never true. This should create discussion. I have said that squares are a type of rectangle, and a rhombus is a type of parallelogram.

Tutorial with questions taking you through primes, multiples, writing and reading numbers, directed numbers (negative numbers), prime factors, HCF and LCM.

This takes students through factors, multiples and on to HCF and LCM. Hopefully this will allow students to work out what HCF is themselves.

No real imagination here, just a quick worksheet to stop the students bisecting a horizontal or vertical and bisecting a right angle. Don't expect anything fancy people...

This should bring about plenty of discussion. Four "spiders" of increasing difficulty asking students to complete a list of numbers to make the average and range properties true. A couple of typos corrected.

A comment from my trainee teacher made me think that rounding to decimal places and significant figures needed an activity, so I came up with this. It should get students thinking and should open up discussion on rounding, which can be a little "dry" but essential to get to grips with. Typo corrected!

With the new curriculum in mind I did this. Students must use their knowledge of parallel and perpendicular lines to fill in blanks but this could lead to discussions about different ways to write equations of lines etc. Errant negative signs on number 4 corrected (I hope).

Six "spiders" on probability. The first two are basic, the middle two are two events (independent) and the final two are two events (dependent). Some "legs" answer questions, some legs give the answer and ask for the question. They have been split this way so that you can use different "spiders" with different classes. These should encourage discussion and questions such as "Is that the only answer?" which should demonstrate understanding. Typos corrected.

Four spiders, two with curve and two involving trigonometric functions. These are designed to be used as starters or plenaries but they also work as consolidation activities.

This leads students through graphing trigonometric functions, transforming f(x) and transforming a trigonometric function. The graphs are as big as I can make them in the format given so sorry if they are a bit small. I used Desmos for the graphs if you are interested (it’s brilliant!).

Work your way up to 3D Pythagoras and trigonometry…

Can you calculate what the workers in each box are doing on the mathematical building site? It's essentially function machines but where you have the answers but need to find the rules.

Surds practice from basic simplifying to expanding brackets to rationalising denominators. This encourages workings and the students to work backwards (what's the question given this answer?) so should also encourage discussion in class.

This is a different way to allow students to gain some practice in short bursts and helps introduce fractional indices. The point is to generate discussion in class whilst the students do some work.