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

A series of real-life graphs that are misleading in some way. Nice for a discussion activity.

Practice on the function notation (new to GCSE!) involving substituting into a function and finding the value of x given what f(x) equals. This also involves composite functions. This should hopefully encourage your class to talk about their answers and understanding of the topic. Now includes an extra "find the inverse" slide!

The students are given the answer and asked to fill in the gaps in the question. Topics used involve probability, equations, simultaneous equations, fractions, percentages, ratio, speed, distance, time and many others. Some of the questions allow for multiple answers so discussion could be had. Designed to be used as starters/plenaries to get the grey matter moving. The Christmas theme runs through every question and is a tad tenuous at times but there you go.

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.

This presentation just takes you through definite integrals and uses questions from Edexcel; please don't expect anything flashy. If the animations get mixed up I apologise but for some reason Equation Editor doesn't have square brackets onto which one can put limits! Annoying.

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.

I did this having seen numerous poor attempts at sketches in books on recognising types of graph.

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).

Four sheets (two with mixed numbers, two without) to practise multiplying and dividing fractions. This is just a different way of doing some questions and depending on how it's run can involve plenty of discussion.

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!).

I just wanted a reasonably simple reflection worksheet for some lower ability students so came up with this and it seemed to challenge them.

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.