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Nathan Day

@nathanday.bsky.social

266 Following1.3k Followers

Maths (and Computer Science) teacher.
Task interweaver.
Daydream believer.

https://interwovenmaths.com
New! https://classduels.com/maths/

#EduSky #UKTeaching

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@nathanday.bsky.socialOct 9, 2026, 5:51 PM

In #MathsToday, a Friday afternoon lesson with Year 8 called for some Prime Factory (mathsbot.com/puzzles/prim...) and Find the Primes (mathsbot.com/puzzles/find...) to support our recent work on simplifying/equivalent ratios.

Sadly, I didn't beat either of my high scores.

@nathanday.bsky.socialOct 8, 2026, 3:55 PM

Today was another day of teaching Computer Science, so not much was done in #MathsToday.

In Year 9 we've been practising our skills with strings (interwovenmaths.com/strings), Year 8 were looking at logic gates and building some circuits with (logic.ly/demo/), and Year 7 were doing more Flowol!

@nathanday.bsky.socialOct 7, 2026, 4:53 PM

More details about MathsBot membership, which gives access to many hundreds of amazing tasks, the MathsBot curriculum, and ad-free mode, can be found here:
mathsbot.com/membership

Very much worth it!

@nathanday.bsky.socialOct 7, 2026, 4:50 PM

In #MathsToday, Year 10 were doing some averages from frequency tables.

They started with this from one of @studymaths.bsky.social's #1001MathsBots [table not revealed at first!].

And then moved on to some variationy practice questions.

interwovenmaths.com/frequency-ta...

A 6 × 6 grid of purple dice showing scores from 1 to 6, alongside a blank table with columns ‘Score’, ‘Frequency’ and ‘Total Spots’ for scores 1–6. Heading: ‘How many spots? How did you count them?’
@nathanday.bsky.socialOct 6, 2026, 6:08 PM

In #MathsToday, Year 8 have started a chapter on Ratio and Proportion.

Certainly a contender for one of my favourite topics to teach. And it is one with a lot of particularly lovely NCETM Checkpoints to choose from - these are two highlights for me.

www.ncetm.org.uk/classroom-re...

Checkpoint 19: Dough. Chapati dough uses 2 cups of flour for every 1 cup of water; pizza dough uses 3 cups of flour for every 2 cups of water. Six bowls contain: a) 9 cups flour, 6 cups water; b) 12 cups flour, 8 cups water; c) 12 cups flour, 6 cups water; d) 18 cups flour, 12 cups water; e) 24 cups flour, 12 cups water; f) 24 cups flour, 18 cups water. Students decide whether each is chapati dough, pizza dough or neither, then consider what could be added to change each dough into the other kind.Checkpoint 20: Imperfect meringues. A perfect meringue uses 150 g sugar for every 3 eggs. Five mixtures contain: a) 200 g sugar and 6 eggs; b) 450 g sugar and 7 eggs; c) 400 g sugar and 9 eggs; d) 500 g sugar and 9 eggs; e) 500 g sugar and 10 eggs. Students determine what must be added to make each mixture perfect, then consider other possible combinations, including whether a perfect meringue could use 20 eggs or 20 g sugar.
@nathanday.bsky.socialOct 5, 2026, 7:34 PM

I'll let the students be the judge of whether my handwritten answers are as clear as the typed ones... Realistically, a handwriting course would probably be the best CPD I could do to improve my teaching!

Handwritten answer to Question 1a and 1bHandwritten answer to Question 1c and 1dTyped answer to Question 1
@nathanday.bsky.socialOct 5, 2026, 7:26 PM

In #MathsToday, following a not-so-great performance on the vectors question in last week's CP1 assessment, Year 13 FM did some Vectors practice questions.

These focused on key vectors skills.

Tackling tricky vector modelling questions is a job for later in the week.

interwovenmaths.com/vectors

@mathyawp.bsky.socialOct 3, 2026, 3:54 PMReposted by @nathanday.bsky.social

My piece "The Two Timelines" is in the most recent issue of the Notre Dame publication Virtues and Vocations. What does Star Trek have to say about our current moment with Large Language Models?

socialconcerns.nd.edu/research/vir...

@virtuevocations.bsky.social

@nathanday.bsky.socialOct 2, 2026, 6:04 PM

The first resource to get me hooked on the Revision Mat was Access Maths's brilliant '100 Questions!' GCSE Crossover page, which I've used with many a Year 10/11 class.

Can be found here, near the bottom, below a load of other grade revision resources:
www.accessmaths.co.uk/revision-res...

Access Maths 100 Questions GCSE Crossover Revision Maths.

https://www.accessmaths.co.uk/uploads/4/4/2/3/44232537/100_questions_revision_mat.pdf
@nathanday.bsky.socialOct 2, 2026, 5:59 PM

In #MathsToday, Year 13 Further Maths had a lesson in the morning to revise for an afternoon Core Pure 1 assessment.

I printed off a nice double-sided A3 revision mat.

There's something about that format that I find feels more approachable than 50 questions in a list!

interwovenmaths.com/mats/cp1

Page 1 of a Revision Mat of 50 Core Pure 1 questions in a grid.Page 2 of a Revision Mat of 50 Core Pure 1 questions in a grid.
@nathanday.bsky.socialOct 1, 2026, 4:57 PM

or is it even a structured variation grid...? @studymaths.bsky.social

@nathanday.bsky.socialOct 1, 2026, 4:56 PM

It's tricky to do a proper #MathsToday today as I've spent all in Bristol for a meeting.

However, I've managed to spend a bit of time on the train back planning some Year 8 Ratio lessons, which reminded me of this rather unusual Combining Ratios Completion Table.

interwovenmaths.com/small-tasks

A 5-by-5 table showing ratios between a, b, c, d and e. The diagonal entries a:a, b:b, c:c, d:d and e:e are all 1:1. Given entries are a:b = 5:3, b:c = 6:7, d:a = 9:4 and e:d = 11:12. All other ratios are blank to be completed.
@nathanday.bsky.socialSep 30, 2026, 11:03 PM

I work at an all-girls school, and wanted my displays to be more relatable to my students than other, otherwise similar, resources. Hence also the focus on applications rather than pure maths.

@nathanday.bsky.socialSep 30, 2026, 2:17 PM

A nice explanation of the method and why it works (essentially a shortcut of the shortcut that is the substitution method) from the excellent blackpenredpen can be found here:

www.youtube.com/watch?v=fgPv...

@nathanday.bsky.socialSep 30, 2026, 1:54 PM

In #MathsToday, I introduced some students (and colleagues) to Oliver Heaviside and his 'cover-up method' for partial fractions.

While not ideal for exams, as it isn't much of a written method, I find it a handy check and I'm surprised so many haven't heard of it!

en.wikipedia.org/wiki/Heavisi...

@nathanday.bsky.socialSep 29, 2026, 5:35 PM

Pretty much!

@nathanday.bsky.socialSep 29, 2026, 3:58 PM

I'm afraid not - both for copyright reasons and technical limitations (it currently only runs locally as a Mac app). I might, at some point, make a public version that doesn't host any of the questions - just has the categorisation/filters then links to the official papers/mark schemes?

@nathanday.bsky.socialSep 29, 2026, 3:18 PM

In this case, I narrowed down the topic to similar triangles, sorted by performance, and found a couple of suitably interesting questions.

The GCSE Maths Question Database, narrowed down to Similar Triangles.One particular exam question on similar triangles.
@nathanday.bsky.socialSep 29, 2026, 3:11 PM

In #MathsToday, Year 10 did some exam question practice based on recent work on Similar Shapes.

This term, I have been very much enjoying the benefits of having spent part of my summer holiday building a 8000+ question database of all GCSE Maths past paper questions.

Screenshot of a GCSE Maths Question database.
@nathanday.bsky.socialSep 28, 2026, 7:08 PM

This, and all my previous MathsToday posts, can be found at:
interwovenmaths.com/mathstoday

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