Erica got another homework to fine tune her differentiation skills regarding implicit functions, chain rule and second derivatives. Predictably it is not going entirely to plan. Can your students help Erica correct her mistakes and explain what she's done incorrectly. Designed for students to display understanding and cause discussion.

Eight quadratic functions to complete the square (including one where the coefficient of "x squared" is not 1) for students to do then plot the graphs. The aim is for them to spot how completing the square informs transformations of functions.

Four slides each with five questions on answered either correctly or incorrectly; students must decide whether each given answer is correct or incorrect then explain why. These work nicely as a reasoning activity at the end of a lesson or topic in my experience but use them how you like (or don’t).

Using some (clean!) clips from Monty Python's Quest for the Holy Grail and Life of Brian (5 clips in total) there are some maths questions. Each clip (which has a hyperlink as the embed feature in Powerpoint is messing about) has 3 questions. It was a challenge given to me on Twitter! Should be fun though, and I will have to prevent myself from giggling in the corner. There are Smart Notebook version but the file size exceeds the limit apparently!

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

Slightly harder equivalences to colour in

Erica is struggling with double angle formulae, compound angle formulae - the works"! Can you help her sort out her homework and explain what is going on? Designed to encourage discussion.

Beginning with relatively easy equations and building up to equations with fractional parts on both sides of the equals sign. I am writing this for a new class so that I know where to start on equations, but the anagrams are always popular too, offering an incentive to finish. Typo corrected.

Santa needs to know how many of each toy there will be after a certain amount of time. The elves know how many they can make in a minute and how many they have in stock. Can you help calculate how many toys there will be after the timescale given by Santa?

Superman can only throw half as far as usual as he is back on Krypton. Find the midpoints of the pairs of co-ordinates to spell out which villain he's trying to catch.

Three "spiders" - the first two are general using of the theorem and the final one is more problem solving. This should encourage discussion, especially the final one.

This is a matching activity on bounds (it does what it says on the tin?), including the potential error in calculations. Ideal for a starter or plenary and should hopefully generate discussion and enable students to demonstrate understanding.

Use the values for a, b, c, d and e to calculate yhe distance between the cities in the UK using the formulae given. It also gives the students the opportunity to create their own formulae.

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.

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.

Use one of the three calculations given to find the answers to the questions and reveal a rather good joke (if you like golf). these are popular with students and ideal for either using in class, online or as a homework in my experience. This could be used at KS3 or KS2 i think.

Three fielders throw a cricket ball from one position to the wicketkeeper. Can you find the equations of their throws?

This does what it says on the tin basically; a load of right-angled triangles with missing lengths to calculate and reveal the fish joke. These work in class, online or as a homework task and reassure students as they start to spell a word or sentence.

In these worksheets the various questions use how many songs you can get onto an MP3 player (1Gb = 250 songs) to look at ratio. Leads onto other questions involving fractions and percentages.

Erica is struggling with trigonometric functions this time. these questions invlolve sec, cosec and cot and Erica is struggling. Can your class help explain where she has gone wrong. This allows students to demonstrate understanding and discuss their thinking.