A sheet in four parts regarding functions: substitution, domain/range, inverses and composite. I have tried to cover as many different aspects of each part; each part contains eight questions and I have done it this way so you can use each part separately if you wish, or all together, whatever you like. The idea is to work forwards and backwards using the information given. Hopefully it is fairly self-explanatory but no doubt we will find out!

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’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 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 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.

Students are required to decide whether the 10 statements based upon a cumulative frequency graph are true or false. This is designed to create discussion but also with online lessons in mind.

Six questions where students are given the question and the answer, their task being to add in the workings. The “possible workings” sheet are just there as an example, not as a concrete “it must be done like this”. These are designed to encourage working and method.

Answer the proportion questions and reveal the fish-related joke. These are popular in class, both online and in-person, offering those who are fairly confident the opportunity to get on with an answer being revealed whilst the teacher can help those who need it.

Ten statements about functions that students need to decide whether they are true or false. This involves substituting, inverse, composite and domains so covers most the what they could be faced with in an exam. These have created nice discussions in class for me and I always get them to correct the false statements.

I wanted an extension for a class on solving quadratics; this is what occurred. There are 6 questions and 10 possible answers. These seem to work quite well and this will hopefully get them thinking.

The famous advert from the 80s and some maths questions involving capacity amongst other things.

Three slides with different differentiation problems. The first asks students to differentiate, find a gradient and equation of a tangent at the given point; the second asks the same but the equation of the normal at the given point; the third asks students to find the turning/stationary points. I have thrown in a bit of integration (by stealth) as well just as a challenge… and this could be used for IGCSE or A/AS Level.

Ten questions of increasing difficulty (you can choose which you tackle) where four potential answers are given; one answer is correct (your class can find this) and three answers are incorrect and your class needs to work out how they got it incorrect. Ideal for mathematical discussions. This involves simplifying, rationalising and expanding brackets.

Four slides of four questions where you are given the answer but the question is missing some important information. Students must work out what information would work there; some have just one answer, some have many answers. This is designed for students to demonstrate their understanding and to create discussion.

Students are give the answers but there are parts missing in the question; students must decide what should go in the blanks. This should cater for all ages and abilities at secondary (and some primary) and lead to discussion in classrooms. There are four slides of four questions and suggested values/expressions.

This is essentially forming and solving equations using angle facts and percentage change skills. I have used angles at a point on line, angles in a triangle, quadrilateral and a pentagon. Each gets more challenging as it goes in a bid to scaffold the activity.

Another fish joke discovered having written and simplified some algebraic fractions as a single fractions. Ideal for starters, plenaries, main tasks and homeworks; they are surprisingly popular given the standard of joke…

Answer the questions, reveal the fish-related joke. You know how these work by now. Ideal for online lessons, homework or in class tasks.

Solve the problems involving time and find the punchline to the fish-related joke. Useful as a classroom activity, online or as a homework.

Students are given a set of lines and have to solve the simultaneous equations; some need to be rearranged as well. I tend to use this as a starter or right at the beginning of a topic as the answers are there allowing students who understand get on and the teacher to help those who require help.