Ten “trees” of increasing difficulty, each with three or four questions also of increasing difficulty. Answers are provided on separate slides and this is designed to allow students to choose their start (and end?) point or to be used as a plenary in each case.

Eight trees that students can climb based on their knowledge of indices. The idea is to continually ramp up the difficulty and allow students to choose their start point. They start from the most basic writing using powers, laws of indices up to simplifying using fractional and negative indices.

Includes one and two brackets for expanding, including simplifying as well. I wanted to have 8 trees in total so also put in a completing the square tree. Each tree has 3 or 4 questions of increasing difficulty; students choose their start and finish which should allow you to judge where to pitch your teaching; or you could just use it however you like.

There are four trees where students can work from bottom to top, choosing an appropriately challenging start point if they wish. This is “introduction to algebra” stuff, I will do expanding and factorising on a separate file but these could offer nice starters or plenaries. It contains adding/subtracting as well as multiplying variables and collecting like terms.

Each tree has three or four questions that get progressively more challenging as you work your way to the top. The idea is for a student to start where they think they’ll be challenged and then move up from that point, but ultimately it can be used however.

Solve some relatively simple trigonometric equations and reveal the punchline to a joke. This was written with AQA Further Maths Level 2 Certificate in mind but could be used at A Level.

The usual answer the questions, reveal the joke, this time using multiple circle theorems or forming and solving equations using circle theorems.

This is a non-calculator sheet, using knowledge of exact trig values to solve problems. The joke is obviously hilarious… Designed for GCSE or AQA Further Maths Level 2 Certificate.

Find an expression in terms of x for y using circle theorems and discover the punchline to a cheesy joke. Designed for AQA Further Maths Level 2 Certificate but could be used as an extension at GCSE. Typo corrected!

Casey is now on the final chapter of the AQA Further Maths Level 2 Certificate: matrices, including multiplying and transformations. Casey requires help because mistakes are being made; can your classes help and explain what Casey has done wrong? These work well as discussion activities in class in my experience, but use them (or not) how you wish,

Casey is working through the AQA Further Maths Level 2 Certificate and has reached the Calculus chapter; however, Casey requires the help of your class. Spot the mistakes, correct them and explain where Casey has gone wrong. These work well for discussions in class.

Casey is doing the AQA Further Maths Level 2 Certificate and struggling; Casey requires you class’ help to explain where they have gone wrong and then correct it. This chapter deals with trigonometry and Pythagoras including £D and non-right-angled triangles.

Casey is doing the AQA Further Maths Level 2 Certificate but keeps making mistakes; can your class help Casey and explain what went wrong? This time Casey is tackling circle theorems, trigonometric identities, trigonometric equations and surds (trigonometry in right-angled triangles). Spot the mistakes…

Casey is making mistakes in the AQA Further Maths Level 2 Certificate chapter on Coordinate Geometry, involving gradients, circles (equations), dividing lines in a ratio; can your class help Casey out? This works nicely in class and gets students discussing mathematics. Typo corrected…

Casey’s tackling quadratic sequences, quadratic inequalities, factorising cubics using the factor theorem and solving quadratics “in disguise” but making errors again and need your class’ help. Ideal for discussion in class… Designed for use in the AQA Further Maths Level 2 Certificate course.

Casey is at it again whilst going through the AQA Further Maths Level 2 Certificate course. Algebra III is essentially functions so this includeds domain/range, equations of functions given two points, composite functions, functions split in to three distinct parts. The usual correct and explain stuff which encourages discussion in class.

Casey is making mistakes again, this time involving difference of two square, rearranging formulae, algebraic fractions and completing the square where the coefficient of x squared is not 1 (and is negative). The aim is to get classes discussing methods and deepening understanding and is aimed at the AQA Further Maths Level 2 Certificate course (Chapter 2).

Casey is doing the AQA Further Maths Level 2 Certificate course; this is the homework for Chapter 1 involving Pascal’s Triangle, product rule for counting, solving equations (involving fractions) and algebraic percentage relationships. These are designed for students to discuss how to solve the problems given and appraise “Casey” regarding their understanding; I find these to be good at deepening understanding.

Find where the graphs meet and reveal the punchline (this is essentially simultaneous equations). I like this joke…

This was written with AQA Further Maths Level 2 Certificate in mind but could easily be used for GCSE candidates. The joke is a classic as the students won’t guess it but it is actually quite funny (I didn’t write it, clearly).