Tea Cup Cardioid?

You have probably seen something like this in your cup of tea (or coffee, I don’t discriminate) before:


I’ve written a very short activity that has a little bit of conversion between forms of graphs and introduces how to import a picture into Desmos that could easily be used in the classroom. It actually works surprisingly well using Desmos on a phone.

If you wish to use it please download from here: Tea Cup Cardioid

And if you want to know more of the physics and maths behind this I recommend this Chalkdust article from Dominika Vasilkova (@dragon_dodo) – it’s a great article!


AQA Core Maths 2017 Analyser

This is a post to share something that may be useful for teachers of AQA Core Maths who have mocks coming up.

For the last couple of years I have made my own QLA analysers for Sixth Form mocks I have done, but I haven’t routinely made them for Core Maths. The main reason I do this is because I like to have a whole qualification in one file as opposed to different analysers for each paper.

I have now done so for the 2017 sitting of AQA Core Maths.

There is a main headline page that displays paper marks, calculates grades based on the option selected (I do both grades from the official boundaries published by AQA and also inflated boundaries where I add a few marks to each grade). On this page you also paste in your students’ names in to the top row.


As you can see above each paper then has a QLA page where question by question you enter the marks scored. On this page there is a brief description of the question topic, the maximum mark available and then space to enter data. This should all be validated and not allow you to enter a mark higher than the maximum mark available for a question, for example. The cells are then formatted on a sliding scale from red for 0 marks to green for full marks per question.


If you think this would be helpfully then the file can be downloaded here.

AQA Core Maths Analyser 2017


Circles – Summary Notes

To help with some revision my Year 12s were doing I have today just finished some summary notes and exercises (to be fair there are more questions than notes) on Circle Geometry.

They start from the basics as shown below:


and then progress to the more difficult problem solving questions, such as determining the equation of a circle that passes through 3 points.

Feel free to use them and download from below:


Questions with solutions

NB: This is my second post for #MathsWeekEngland. Check out their website here.


It’s “Do not Reject” not “Accept”

Today I came across (unless I just haven’t noticed it before) the first thing I haven’t liked in the new style mark schemes for the AQA AS and A-Level Maths exams..

It’s this:


I always make a really big thing about how you mustn’t say “accept” when talking about the null hypothesis as doing a hypothesis test doesn’t give any results information about the validity of life the null hypothesis.

Do you think I am being too pedantic here? I’d love to hear your thoughts?