Erica has started calculus but is struggling yet again. Please help correct her work and explain what she has done wrong in each case. Designed to promote discussion in the classroom.

Erica tackles partial fractions, algebraic long division and simplifying algebraic fractions in this homework. This goes predicatably wrong and she requires your help to correct and explain what she’s done incorrectly. This should create discussion regarding different methods.

Erica is struggling whilst differentiating trigonometric functions, using the product, chain and quotient rules and parametric equations. She is desperate - please help her! Designed for students to demonstrate understanding and to encourage discussion.

Four sets of four problems where students have the answer but there are blanks in the questions which require filling in. This is designed to create discussion in class and hopefully provided natural differentiation (find the general solution where possible compared to finding a single solution). I will be using these as starters or plenaries as I believe they will develop deeper understanding of topics, but feel free to use them as you like (you will as you don’t need me to hold your hand). Typos corrected (hopefully).

Four “Crack The Safe” activities on ratio and proportion: three on ratio and one on proportion, although the ratio problems sheet has a couple of inverse proportion problems. These contain six questions but ten possible answers meaning that students can self-check their answers (are they in the list of possible answers?) whilst the teacher can help those who require it. I use these as starters and plenaries but that is obviously up to you. The emphasis in the ratio sheets is upon worded questions so discussion may be generated here.

Three “Crack The Safe” activities on time problems, converting metric units and compound measures (speed and density). These contain six questions but ten possible answers meaning that students can self-check their answers (are they in the list of possible answers?) whilst the teacher can help those who require it. I use these as starters and plenaries but that is obviously up to you.

Three “Crack The Safe” activities on expressions: expanding and factorising, including quadratics and expanding three brackets. These contain six questions (four on the three brackets) but three possible answers for each question meaning that students can self-check their answers (are they in the list of possible answers?) whilst the teacher can help those who require it. I use these as starters and plenaries but that is obviously up to you.

Three “Crack The Safe” activities on formulae: substituting and two one rearranging (the second one is harder than the first, involving the subject appearing twice). These contain six questions but three possible answers for each question on the rearranging with there being ten possible answers for the six questions on the substitution; this means that students can self-check their answers (are they in the list of possible answers?) whilst the teacher can help those who require it. I use these as starters and plenaries but that is obviously up to you with the wrong answers offering an opportunity for discussion about what I have done in order to get that solution.

Leading students through the skills required for proportion problems at GCSE level including substitution, solving equations and order of operations before asking some proportion questions. I didn’t have room for graphs I’m afraid, but that could be a discussion from the questions.

This gives students a question and four potential answers; they must choose the correct answer and then explain what the three wrong answers have done incorrectly. Topics include simplifying expressions, expanding brackets, factorising expressions and solving equations with the variable on one side. I have purposely only highlighted the correct answer and not suggested what has been done incorrectly with the other solutions so students (and staff) aren’t tainted by my personal thinking and develop their own. I am hoping this will lead to some great mathematical discussions in the classroom.

Two distance-time graphs to interpret and find the punchline to a terrible joke; the usual malarky…

Seven sets of five questions and solutions, some of which are correct and some of which are not, the students decide and explain how they have come to their decision. There are slides on simplifying expressions, substitution, expanding and factorising expressions including quadratics, rearranging formulae and algebraic fractions. These are designed to create discussion in class. Hyperlinks now working!

Five slides each containing five questions answered either correctly or incorrectly; students decide which and explain why they have decided the way they have. This contains inequalities on number lines, satisfying inequalities, solving, regions and quadratic inequalities. These are designed to create discussion in the classroom.

This one uses coordinates to get to the joke; I’m actually quite pleased with myself over this joke as it is self-referencing. This also involves reflection, rotation and translation.

A PowerPoint with three graphs drawn on each of 8 slides of increasing challenge, moving from linear through to quadratics, cubics, reciprocals and exponential graphs. On each slide there are equations to match to each graph plus extra equations so that it adds more challenge; there is a blank grid so that the equations that don’t match can be sketched.

This is just a lesson on scatter graphs that I wanted so that I could just hand out one booklet and then teach the class without the faff of them drawing axes etc. It goes from simple plotting to describing correlation to using a 'line of best fit'. Two sets of questions depending on which Key Stage you are teaching.

This is a revision activity either to be done in small groups or individually. There are the following rounds: Number, Algebra, Shape and Space, Date Handling, Using and Applying. All have 10 questions worth one point each except the Using and Applying round where there are 5 questions worth 3 points each, where workings must be given.

Dealing with inequalities from representing on a number line to solving to shading regions.

A powerpoint taking you from chance and probability lines, listing outcomes, the probabiliy of an event not happening and tree diagrams.

This is designed to take the students from simple expanding a bracket to simple factorising to multiplying out two brackets to factorising quadratics to simplifying algebraic fractions to solving quadratics by completing the square to solving quadratics using the quadratic formula and simultaneous equations involving quadratics. There are questions for each as well as examples and explanations. Between each section there is a 'Where are you now?' section to show progress.