Mathematical Miscellany #30

To begin this collection, two items where you need to act swiftly!

Jonny Griffiths Further RISPS

Jonny Griffiths investigative activities for the pure A Level Mathematics classroom are well known. He has now published Further Risps, forty rich tasks for the pure Further Mathematics classroom.

For just a few days, Jonny Griffiths is halving the cost of the Further Risps pdf ebook from £7.50 to £3.75.

I thoroughly enjoyed his excellent session for London Maths, ATM and MA London Branch on Saturday 11th May, where teachers enjoyed working on these activities. Two editions are available – a hard copy or pdf version. On this page you can see two trial activities, Further Risps 1 and 2.

The pdf not only provides the forty problems but also full teachers notes for each. The notes for each task begin with the topic or topics covered, identify the type of task, for example, introductory and state any preliminary knowledge required. This is a valuable resource for teaching Further Mathematics.

For A Level mathematics, Jonny has a wonderful collection of free RISPS, the details are included in my series of pages on A Level reources.

The second act swiftly item – a remnder from last week on A Level resources that you have until July 10th if you would like to download the 2019 AS & A Level Question Countdown sheets from crashMATHS, See AS Level Question Countdown and/or the A Level Countdown. Each set provides 10 worksheets of mixed questions with 7 questions on each sheet, 5 are pure questions and 2 are applied. The pure section of the worksheets includes a mix of basic, problem and modeling questions.Whilst written in the style of Edexcel, the subject content is the same for all examination boards.

CrashMaths Countdown

Jonathan Hall has added an Arithmagon generator on his wonderful Mathsbot site. As always with Jonathan’s resources you have choices to create the resource you want.
Jonathan Hall Mathsbot
This has been added to my Arithmagons collection where you will find all the Arithmagons you could ever want from the simplest to complex numbers and Calculus for older students!

From Ontario Math see these HTML5 mathies tools which  are designed for use in desktop or mobile browsers. A search on Google Play apps for mathies found them all. Mathies are also available on ios.
mathies apps

On the mathies tools site you will find full details and tips for use. With Notepad for example you can sketch diagrams, import pictures, create graphs on one of four backgrounds: grid, isometric dot, lined or blank. The app includes built-in line, shape and text annotation objects, including number lines, rulers, grids and polygons. It is possible to copy and rotate any annotation object. A tip sheet provides a clear summary of  all the features.

mathies Algebra Tiles

Mathies – Algebra Tiles

The Algebra Tiles app comes with support including a series of examples, this page provides complete documentation.

Penrose Triangle

A lovely activity for the end of term perhaps, try a lesson on Impossible Objects from  Clarissa Grandi on her marvelous Artful Maths (scroll down  to the third lesson, Impossible Objects).

All the Resources you need are provided, including a presentaion containing a selection of images of ‘impossible objects’; and very clear printable instructions for constructing three different types. The instructions are taken from the 1985 SMP 11-16 booklet ‘Impossible Objects’ a direct link to the instructions is provided.

Note that you can access SMP materials through These materials certainly bring back memories, I have SMP O and A Level Maths!

Workers of Zen

Workers of Zen

Speaking of the end of term, fast approaching for UK schools, there are several suggested activities on this page.


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