The A Level (16+) resources collection includes a page on large data sets. This has been completely updated to provide further resources. Whilst UK exam board-specific resources are covered there are additional resources here that could be used for any exam board and for teaching statistics generally.

New on BBC Bitesize are GCSE exam-style quizzes; the quizzes have been designed for students working on GCSE maths, biology, chemistry, physics, combined science, computer science and geography studying any awarding body specification. For each subject, you will find 50 exam-style questions, these are arranged over five activities of ten questions each. The questions are multiple-choice and students can see a fully worked solution for each question.

Looking at some favourite resource websites, some recommended resources for teaching functions …

For an excellent introduction the PhET Simulation, Function Builder provides a very visually appealing resource. Using the pattern option even very young students could explore important concepts. This is very intuitive to use, the slides in the following slideshow demonstrate examples of its use. Note that teachers can register with PhET and gain access to supporting documentation.

Desmos can be used very simply to illustrate function notation and note the use of Desmos as a calculator to evaluate the value of a function for a given input.

In the interactive materials for year 7: Unit 16 Section 2: Function Machinesand there is also a section in the associated text (16.2). All CIMT resources are free to access, a small number of documents such as text answers are password protected, you can obtain the CIMT password. These exercises could be used as an introduction and students also shown function notation. They could write the functions described by the function machines using f(x) notation.

The AQA Bridging the Gap resources includes a resource on introducing function notation; These resources were originally designed to support teaching and learning for students who studied the 2007 Key Stage 3 Programme of Study and were preparing for the then new Mathematics GCSE. The resources are still very useful.

For a challenging problem on Function Notation, try this from Open Middle.

From Andy Lutwyche, a resource I have always liked is one of his excellent Building Blocks series on Function Notation. We can also search his site on functions. (I am so pleased to see Andy’s resources on his own site, andylutwyche.com.)

On Starting Points Maths, a search on Functions returns several tasks, including work on Graphs and Transformations.

On Maths Genie, under Grade 7, we have Inverse and Composite Functions. You will find some revision examples and also exam questions with solutions.

For a compilation of GCSE questions, William Neill’s GCSE Maths Questions site is so useful. Under Algebra, we see A7 Function Machines and A65-68 (H) Functions.

On MathsBot we could use GCSE Exam Style Questions for higher questions on Composite functions.

On TES, this Crossnumber from cbarthur is an ideal resource for becoming familiar with function notation. Also on TES from Owen134866we have a set PowerPoint resources including an introduction to f(x) notation for GCSE students.

From OCR, Check in tests can be very useful, consider the language of functionsfor example, the first questions could be used for students as young as Year 7 (age 11-12).

Looking ahead to summer examinations, this year there will not be advance infomation as there was last year, but in GCSE Mathenatics students will again have formaule sheets; the exam boards have now published these. This page, Examinations 2023, includes links to infomation and the formulae sheets for each exam board. The page also includes the series of revision pages with many ideas and resources for revision.

I often use Jonathan Hall’s wonderful Completion Tables so was delighted to see that these are all in one place on MathsBot, a personal favorite is his Directed Number.

Regular readers will be aware a favourite website of mine is Transum, two recent additions are Algebraic HCF with Algebraic HCF and LCM exercises over 5 levels and Gradients now with a new level 2 which features straight lines drawn on axes where the vertical scale is different from the horizontal scale, soe labels are obscured for an additional challenge.

From Chris McGrane on Starting Points Maths, have a look at this lovely task on Integration which provides much needed practice on deciding on the integration required to determine the areas shown. Students are required only to write down the integrals with limits.

It struck me that the questions could be checked and illustrated on WolframAlpha.

Both MathsBot and Transum featured in my Enduring Websites collection, websites started between 1997 and 2013, and still there! MathsBot and Transum are regularly producing such excellent resources after many years. I believe Starting Points Maths will be included in the next Enduring websites collection!

These slides are from a session I presented at last year’s MA Conference.

Seeing that my earlier posts on revision resources including papers for the 2022 GCSE examinations are still popular I have created a page to include the resources from those collections, whilst some of these are based on the advance information for the June and November 2022 exam series they still provide very useful revision. We are fortunate in Maths that the subject content is the same for all the UK exam boards. The collection of pages brings together many varied revision resources.