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Finding the median from a Histogram is one of those A Level Topics that sneaks into GCSE and that I had actually not prepared to teach when it came up whilst we were doing some of the fantastic Focus Tasks from Mathsbox. I quickly printed off some blank axis from Desmos and then went about writing some simple histogram questions under the visualiser.

The issue with making these questions up on the spot is that they weren’t all “nice” and didn’t really build up in difficulty properly.

So I speedily during lunch put together the following PPT that introduced the idea of Linear Interpolation slowly

It actually was a lovely opportunity for some Variation Theory – Something I hadn’t really thought about in this context before!

There a bunch of these questions in the PPT and then build up to some more tricky questions – but all nicely contained on a small grid which was nice

Also meant that we could also do mean from a Histogram etc.

Always fun to put something like this together that I can then use for my Y12s in the future.

Thanks for reading!

Let me know on bluesky if you have any thoughts

Natan

https://bsky.app/profile/mrlevmaths.bsky.social

We have been doing Year 11 mocks recently and I always love making worksheets based on questions that were answered weakly by my classes.

Here were three of the “worst” answered questions that I would’ve liked them to get.

For this one I made a Table that slowly built up difficulty and ended with some nice extension questions where you form quadratics from indice equations

This one just needed a few practice questions:

Finally part (c) of this question was actually quite a tricky version of this type of question so I built it up slowly starting with drawing extra graphs onto x squared

Before moving onto a harder quadratic

Then got the students to work through a worksheet of a bunch of the questions that get quite tricky!

Very enjoyable!

Let me know if you have any questions or thoughts

Natan (chelekmaths@gmail.com)

A Level Variation Theory

Had an absolutely glorious time running a workshop at Mathsconf39 with my colleague Shane a couple of weeks ago.

I have attached the PPT that we used at the top of this post so people can use it in department meetings as CPD or just to take a look at some series of questions.

The biggest take away from the session is that designing questions based around getting our students to think deeply is great from students but also just fantastic CPD. We start our department meeting with a slide such as the one below and then discuss the differences and similarities between the questions that we have written. So much fun!

Some of the mathematical behaviours we want students to have:

Big shout out to Craig Barton for the fantastic book and websites

If you came to the session and have any feedback for us please do email us here 🙂

Thank you!

Natan

I always like using simpler integration by substitution examples to start of, things that students know how to integrate already that we can then use substitution to do before moving onto trickier substitutions.

Got the above questions from Underground Maths – added a couple of limits but that’s it – such great questions

Finished off with some trig substitution ones. PPT here:

NLV

Odds and Evens

Had a fun time planning a one off hour lesson prepping students for the Intermediate Maths Challenge so we took a look at factorials, in particular looking at properties of their factors. Put together the following PPT and had a great time!

Let me know your thoughts!

@mrlevmaths.bsky.social

Inspired by interwoven maths made a worksheet combining triangle problems with circle theorem problems. Was a bit fiddly on PPT but fun! Answers on the PPT 🙂

Enjoy!

NLV