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Jonathan Hall

@studymaths.bsky.social
1.3K followers 265 following 964 posts

Maths teacher. Creator of MathsBot.com.

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Jonathan Hall @studymaths.bsky.social · 1h
I introduced quadratic sequences with Y11 in #MathsToday with this matching activity.
Four quadratic sequences, each with three different representations - a diagram, the number sequence and the nth term rule.
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Nathan Day @nathanday.bsky.social · 28/09/2026
This, and all my previous MathsToday posts, can be found at: interwovenmaths.com/mathstoday
interwovenmaths.com
#MathsToday | Interwoven Maths
An archive of Nathan Day's #MathsToday posts: an example of something taught or a resource used in maths lessons each school day.
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Miss Morris @morrismaths359.bsky.social · 28/09/2026
#Mathstoday One of the things I find is in the lesson students can factorise. As soon as you mix up the questions they can't do it. Got my Yr10 to have a go at these and it was unsurprisingly how much slower they were.
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Jonathan Hall @studymaths.bsky.social · 27/09/2026
Update: Added a few more surface area and volume questions. Example here: mathsbot.com/unitTest?id=...
An example mixed exercise on surface area and volume of 3D shapes.
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Nathan Day @nathanday.bsky.social · 25/09/2026
In #MathsToday, Year 13 did some Integrating Factor, Year 10 worked on similar shapes, and Year 8 found some surface areas and volumes of cuboids. interwovenmaths.com/faces-of-cub...
interwovenmaths.com
Faces of Cuboids | Interwoven Maths
Cuboid practice for finding volume and surface area from dimensions or face areas, including missing lengths.
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Jonathan Hall @studymaths.bsky.social · 25/09/2026
Randomised versions of the 2026 and 2025 papers are now done.
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Jonathan Hall @studymaths.bsky.social · 24/09/2026
Update: I tidied up the Example-Problem pair tool a bit today. My favourite feature is the ability to compare any two objectives side by side - making use of variation. Here's a simple example for the volume of a sphere. mathsbot.com/unitExample?...
Two problems side-by-side where you are asked to find the volume of a sphere. One where the radius is given, the other with the diameter given.
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Jonathan Hall @studymaths.bsky.social · 24/09/2026
Yesterday we looked at algebraic function machines. Year 7 enjoyed making the inputs and outputs with the real tiles and asked me if they could use them again in the next lesson. I also enjoyed using my new pen tool of course! #MathsToday
A function machine using algebra tiles shoing why 3(x + 2) = 3x + 6.
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Jonathan Hall @studymaths.bsky.social · 24/09/2026
UPDATE: Demonstrating the new "Custom Years" feature on the MathsBot arithmetic tests. mathsbot.com/primary/ks2 mathsbot.com/primary/ks2M... youtu.be/2XxNDQwzX0E
youtu.be
Custom years added to the Arithmetic Tests. (Finally!)
YouTube video by Jonathan Hall
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Nathan Day @nathanday.bsky.social · 21/09/2026
In #MathsToday, Year 10 Level 2 Further Maths wrapped up Binomial Expansion with some lovely questions from @draustinmaths.com, who has an excellent selection of L2FM worksheets at: www.draustinmaths.com/level2fm
draustinmaths.com
LEVEL 2 FM | Dr Austin Maths
NUMBER
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Jonathan Hall @studymaths.bsky.social · 21/09/2026
Looking at the volume and surface area of cones with Y11 in #MathsToday. I scribbled a dodgy version of this task on the board when a few pupils were getting confused with the difference between the height and slope of a cone. I've neatened it up here now.
A picture of two cones, one with the height given and the other the slope length.

The task asks pupils to decide which cone is easiest to find the volume of and which would be easiest to find the surface area of.
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Amanda Austin @draustinmaths.com · 20/09/2026
New A-level Further Maths resources added today: ✨Different Forms of Complex Numbers Fill in the Blanks ✨Multiplying and Dividing Complex Numbers Match-Up Steadily building a (hopefully useful) bank of Further Maths resources at www.draustinmaths.com/a-level-further-maths #MathsToday #ALevelMaths
Multiplying and dividing complex numbers in exponential form match-up activity suitable for A-level Further Maths students.Different forms of complex numbers fill in the blanks activity suitable for A-level Further Maths students.
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Jonathan Hall @studymaths.bsky.social · 20/09/2026
Update: Just added a "Show Totals" checkbox to my Grid Method resource. It means you can now make some nice working backwards questions. I found this one surprisingly hard - I'd be interested to hear your method for solving it. mathsbot.com/tools/gridMe...
A 2 by 2 digit multiplication problem with only two subtotals given (210 and 300) and the grand total of 315.
All the other information is missing.
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Nathan Day @nathanday.bsky.social · 18/09/2026
In #MathsToday, Year 10 had their first 'Homework Quiz' of the year. Inspired by @karenshancock.bsky.social, they had a week to complete a set of questions. They could work together if desired, get help from others, or even use the solutions that were provided towards the end of the week. But...
Homework Page 1Homework Page 2Homework Page 3Homework Page 4
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Jonathan Hall @studymaths.bsky.social · 20/09/2026
The idea of Zero Pairs crops up in a range of topics involving number and algebra. Here are a few examples. Where else do they appear? mathsbot.com/manipulative...
A one-slide poster explaining Zero Pairs and where they might occur across different topics.
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Jonathan Hall @studymaths.bsky.social · 19/09/2026
Update: I've added a "Toss" button to the Algebra Discs. Mainly (exclusively?) useful for creating quick questions on collecting like terms. mathsbot.com/manipulative...
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Jonathan Hall @studymaths.bsky.social · 19/09/2026
I've rolled this out to some of the other manipulatives now. - Cuisenaire rods - Dienes Blocks - Place Value Counters - Prime Factor Tiles - Fraction Wall mathsbot.com/manipulative... #MathsbotToday
mathsbot.com
Manipulatives - MathsBot.com
A huge collection of virtual manipulatives. Algebra Tiles, Dienes Blocks, Cuisenaire Rods, Geoboards, Counters, and much more.
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CantabKitty @cantabkitty.bsky.social · 19/09/2026
I sent this link round to colleagues the day before everyone had to pick their performance management targets (one of which is a "CPD" target) and to my delight/horror, several long-standing admin staffers told me they had decided to learn Excel this year for their CPD target. #ExcelToday
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Darren Elgar @elgarmaths.bsky.social · 18/09/2026
THIS IS WHAT THE WORLD HAS BEEN WAITING FOR!!!!
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Jonathan Hall @studymaths.bsky.social · 18/09/2026
UPDATE: I've just added a pen overlay tool to the Algebra Tiles. It needs a bit of tweaking (rubber tool etc) and once I'm happy I'll roll it out to the rest of the manipulatives. mathsbot.com/manipulative...
A screenshot of the Algebra Tiles tool with the new pen overlay being used. In this case to complete the square.
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Nathan Day @nathanday.bsky.social · 15/09/2026
In #MathsToday, Year 8 did my Sequences Completion table. interwovenmaths.com/sequences-co... Inspired, of course, by @studymaths.bsky.social's dynamic version available at: mathsbot.com/tables/nthTerm
interwovenmaths.com
Sequences Completion Table | Interwoven Maths
Sequences completion table linking term-to-term rules, nth terms, zeroth and tenth terms, first five terms and sums.
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Nathan Day @nathanday.bsky.social · 14/09/2026
In #MathsToday, I did some Mathematical Gettier Questions with Y8 and Y13. Mathematical Gettier Questions are tasks that explore how incorrect methods sometimes give correct answers. Explained in more detail here: interwovenmaths.com/mathematical... What ideas can you think of for similar tasks?
Simplifying Fractions: Mathematical Gettier Question showing Ellie incorrectly simplifying 12/24 to 1/4 by cancelling the digit 2. Students explain the error, find a fraction where the method works, and test the claim that it works for 49/98.Simplifying Fractions – Sorting: Students sort 12 fractions according to whether Ellie’s digit-cancelling method does not work, partially works, or fully works.Double Angle Formula: Mathematical Gettier Question showing Ramona incorrectly assuming cos 2θ = 2 cos θ, giving 6/5 when cos θ = 3/5. Students find the correct answer, explain why 6/5 is impossible, and determine when her method would work.
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Jonathan Hall @studymaths.bsky.social · 14/09/2026
Filling the blanks in linear sequences with Y7 in #MathsToday. Can you do it without the number line?
Find the missing terms in these linear sequences.
Four linear sequences each with 7 and 19 given but with an increasing number of gaps to fill between these terms.
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Colleen Young @colleenyoung.bsky.social · 14/09/2026
colleenyoung.org/2026/09/12/b...
colleenyoung.org
Mathematics Resources for September 2026.
Explore essential resources for the new term, including GCSE and A Level transition guides, and valuable mathematics materials.
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Jonathan Hall @studymaths.bsky.social · 13/09/2026
I was reminded of this task by @morrismaths359.bsky.social earlier this week. It's one of my favourites, so I've recorded a quick video to demonstrate how you can model a solution using prime factor tiles. Video in the next post...but first here's the task.
2, 3, 4, 5, 6, 7, 8, 9, 10

Fill the blanks with the numbers above to make the calculation correct. One number is not used.

__ × __ × __ × __ = __ × __ × __ × __
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Paul Rowlandson @drrowlandson.bsky.social · 12/09/2026
New blog post - Explores one of my favourite questions to ask after finishing a worked example: What would happen if I changed the question? wp.me/p9t8DE-s8 #mathschat #MTBoS #ukmathschat #iTeachMaths
wp.me
What Would Happen if I Changed the Question?
After completing a worked example on the board, one of my favourite questions to ask is, “What would happen if I changed the question?” More specifically, point to a number or term within the quest…
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Jonathan Hall @studymaths.bsky.social · 13/09/2026
Teaching sharing in a ratio soon? This completion table can generate plenty of practice for each skill - depending on the cells you reveal. mathsbot.com/tables/ratio
A screenshot of the "Sharing in a Ratio" completion table resource from MathsBot.
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Mark Goodrich @markgoodrich.bsky.social · 12/09/2026
Hi #EduSky - the big news this week was PISA results but I already shared the most interesting posts and stats (to me) so Instead wanted to respond in my #Saturday3 to this excellent blog by @claireharley.bsky.social because I am not sure that edublogging is in such a dire state as she feels…
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Jonathan Hall @studymaths.bsky.social · 12/09/2026
Teaching direct or inverse proportion next week? This completion table might be useful. Try hiding different cells in each row to add to the level of challenge. mathsbot.com/tables/propo...
A screenshot of a completion table on proportion.
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Ben Newmark @bennewmark.bsky.social · 12/09/2026
Stop Making Them Copy. My latest blog post for @knowledge-hub.bsky.social Why asking pupils to copy is almost always a bad bet and what I do instead. theknowledgehubuk.substack.com/p/stop-makin...
Screenshot of text from the linked blog post.
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Ed Finch @edfinch.bsky.social · 11/09/2026
Yes, it's happening! Save the date and look out for the ticket link coming soon. #BrewEdBrum - Cherry Red Café, central Birmingham, November 28th.
Flyer for #BrewEdBrum - at Cherry Red Cafe near Birmingham New Street on November 28th. Tickets on sale soon.
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Jonathan Hall @studymaths.bsky.social · 11/09/2026
UPDATE: I've just added the custom test feature to the full-sized versions of the Year 3, 4 and 5 tests. mathsbot.com/primary/year3 mathsbot.com/primary/year4 mathsbot.com/primary/year5
A screenshot of the custom test feature.
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Alex J-W @alexjw.bsky.social · 10/09/2026
teaching-vacancies.service.gov.uk/jobs/teacher... anyone fancy a nice part time job in south man with me!
teaching-vacancies.service.gov.uk
Teacher of Mathematics - Parrs Wood High School
Teacher of Mathematics job from Parrs Wood High School. Apply by 14 Sep 2026.
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Nathan Day @nathanday.bsky.social · 10/09/2026
It's so good. This remains (along with the 7.1 s Nasty Negatives run) one of the achievements I'm proudest of in my life. bsky.app/profile/nath...
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Jonathan Hall @studymaths.bsky.social · 10/09/2026
This is one of my favourite things I’ve made. Here’s the link if you’ve not seen it before. mathsbot.com/puzzles/prim...
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Atul Rana @atulrana.bsky.social · 09/09/2026
In #MathsToday I tried this neat little maths surprise that I learnt at #MathsConf41 from @zoelgriffiths.bsky.social Great for a GCSE to A-level transition tutee. Ideas behind factors, divisibility, algebraic proof all in there. think-maths.co.uk/wp-content/u...
think-maths.co.uk
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Jonathan Hall @studymaths.bsky.social · 10/09/2026
Update: I've spent the morning adding a bunch of questions to the "Direct and inverse proportion" topic. Here's an example of a mixed exercise (and solutions) you can generate with a few clicks.
16 questions on Direct and inverse proportion.The solutions to the questions on Direct and inverse proportion.
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Jonathan Hall @studymaths.bsky.social · 09/09/2026
First #MathsToday of the new term! Y10 were decomposing algebraic expressions into their individual factors using Prime Factor Tiles. This then led into multiplying and dividing expressions.
Prime Factor Tiles showing the algebraic decomposition of 30x²y³.
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Dale Chapman @dalechapman.bsky.social · 09/09/2026
In #MathsToday - Pie charts! Love this as a starting point for pie charts. Why can you work out what flag they are? Because of your ability to reason with proportion. You could make your own version of this using this flags tool shaheeilyas.com/flags/
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Nathan Day @nathanday.bsky.social · 09/09/2026
In #MathsToday, Year 10 did some some variation-inspired expanding and factorising of single brackets (Task 1 in interwovenmaths.com/quadratics) before moving on to some algebraic fractions, ending with a classic 'A Day in the Life' resolution question.
Worksheet titled “Task 1: Expanding and Factorising Single Brackets”, containing questions a–z in two tables. Each row gives either a factorised or expanded algebraic expression, with a blank space for students to complete the equivalent form; expressions increase in complexity from simple linear terms to multivariable polynomials.An algebraic fractions question that cancels out to 1.
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Nathan Day @nathanday.bsky.social · 08/09/2026
In #MathsToday, Year 10 did some some Interwoven Related Calculations and then started on my all-new Algebra Fluency page - answering 1000+ questions between them! interwovenmaths.com/algebra It also gave me lots of data to know where to focus lessons in the Algebra topic we're about to start.
A maths worksheet titled “Task 1.3.3 Adjusted Multiplications”. It begins with “Given that 32 × 45 = 1440” and presents six questions using this fact: calculate 1/32 + 1/45; solve 32x = 1440; find the area of a 32 m by 45 m rectangle; find 32% of £45; share £1440 in the ratio 44:1; and expand 32(45x − 1).

A second section headed “Hence…” gives six related questions with adjusted values: calculate 1/16 + 1/45; solve 32x = 1472; find the area of a 32 m by 4.5 m rectangle; find 33% of £45; share £1395 in the ratio 44:1; and expand 31(45x − 1).A screenshot of https://interwovenmaths.com/algebra question
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Miss Morris @morrismaths359.bsky.social · 08/09/2026
#Mathstoday Yr10 had a go at this lovely Mathsbot task today while Yr11 had a look at Cumulative frequency graphs.
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Atul Rana @atulrana.bsky.social · 07/09/2026
My reflections from #MathsConf41 and a great day of CPD and friendships. www.atulranatutors.co.uk/mathsconf41-...
atulranatutors.co.uk
MathsConf41 Liverpool - With a Little Help From My Maths Friends
My MathsConf41 Liverpool review: five workshops on GCSE maths, connected revision, probability, mathematical surprises, tutoring and AI.
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Complete Mathematics @lasalleed.bsky.social · 07/09/2026
🚨 Double announcement! 🚨 The next two MC events are confirmed: 🔥 MC42📍 Trinity Academy, Barnsley 📅 14 November 2026 🔥 MC43 📍 Penrice Academy, St Austell 📅 20 March 2027 🎟️ Tickets for MC42 are on sale now, with MC43 tickets coming soon. completemaths.com/community
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Nathan Day @nathanday.bsky.social · 07/09/2026
In #MathsToday, I had my first after-school lesson with Year 10 Level 2 Further Maths. We looked at some different problems that just happened have some Pascal's triangle under the surface. Then explored how you can interpret each problem either recursively or combinatorially.
A selection of problems related to Pascal's triangle.
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Jonathan Hall @studymaths.bsky.social · 05/09/2026
I’m pretty sure my kid’s school got @draustinmaths.com to design their packed lunch ideas.
Idea for lunchboxes poster in the style of Dr Austin’s practice strips.
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Gareth Shadick @garethshadick.bsky.social · 05/09/2026
Just had a delightful time talking about some Checkpoints (including this one), and a few tangential thoughts, with an enthusiastic group of Maths teachers here at #MathsConf41. Having discussed Checkpoints twice now, I should probably find something different to talk about for next time.
A slide from NCETM Checkpoints. Year 7 arithmetic procedures with fractions. Checkpoint 16 greater fractions. Four pairs of fractions to compare.
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Jo Morgan @mathsjem.bsky.social · 05/09/2026
We're approaching 400 members on hodspace.com which was only launched one month ago. People are using it to ask for advice, chat about maths teaching, share resources etc. I’m loving it! If you join in September you get four whole weeks for free!
Advert for hodspace.com
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Ben Newmark @bennewmark.bsky.social · 05/09/2026
At some point soon someone somewhere is going to insist their school or department produces all resources using AI for "consistency" and I am getting ahead of this and saying this is a dreadful idea that needs to be destroyed at inception.
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Nathan Day @nathanday.bsky.social · 04/09/2026
I'm going to try to do #MathsToday as consistently as possible this year (although I might struggle on days when I only teach Computer Science!). Today, in my first lesson with Y10, we did some of @dandraper.bsky.social's lovely significant figures tasks: mrdrapermaths.wordpress.com/2020/11/14/z...
mrdrapermaths.wordpress.com
Zeros Are Nothing? Zeros Are Everything!
Rounding and Place Value Digit ProblemsDownload Rounding and Place Value Venn DiagramsDownload Open Middle Style Digit Venn Diagram ProblemsDownload Following on from my previous post about using d…
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