iiinova — where your digital self keeps evolving

Nathan Day @nathanday.bsky.social · 07/10/2026

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?’

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Nathan Day @nathanday.bsky.social · 06/10/2026

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.

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Nathan Day @nathanday.bsky.social · 05/10/2026

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 1b

Handwritten answer to Question 1c and 1d

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Nathan Day @nathanday.bsky.social · 02/10/2026

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

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Nathan Day @nathanday.bsky.social · 02/10/2026

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.

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Nathan Day @nathanday.bsky.social · 01/10/2026

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.

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Nathan Day @nathanday.bsky.social · 29/09/2026

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.

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Nathan Day @nathanday.bsky.social · 29/09/2026

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.

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Nathan Day @nathanday.bsky.social · 28/09/2026

We also, naturally, also looked at the opposite - scenarios which look very different on the surface, but have the same underlying mathematical structure.

Bonnyrigg Rose beat East Fife 4–2. A 3 × 5 grid is provided to explore the question: “How many different scores could there have been at half time?” The score 3–1 is shown as an example.

Two-digit numbers are formed where the first digit is a square number and the second digit is odd. A 3 × 5 grid is provided to explore how many numbers are possible, with 47 shown as an example.

The number 400 with the question: “How many different factors does this number have?” A 3 × 5 grid, labelled “Power of 2” and “Power of 5”, represents possible factors. 2^3*5^1=40 is shown as an example.

Four counting problems linked by the question “Why do these questions all have the same answer?” The problems concern possible half-time scores in a 4–2 football match, factors of 400, two-digit numbers with a square first digit and odd second digit, and the number of lines connecting five points to three points.

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Nathan Day @nathanday.bsky.social · 28/09/2026

In #MathsToday, Year 10 were looking at the Product Rule for Counting. We looked at how subtly different scenarios lead to different calculations, each with different geometric/algebraic generalisations. I spent quite a while coming up with a context where all four variations felt meaningful.

Four-part task asking how many outcomes are possible when five students enter a music competition: awarding first and second place; choosing two winners; two judges each secretly voting for a favourite; and awarding Best Performance and Best Composition.

The same four-part music competition task, illustrated using 5 × 5 grids to represent possible pairs of students. Coloured squares show which combinations are possible or distinct in each scenario.

$Generalisation of the music competition task to n students. The numbers of outcomes are shown as n(n-1) for first and second place, {n(n-1)/2 for two winners, n(n+1)/2 for two secret votes, and n^2 for Best Performance and Best Composition.$

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Nathan Day @nathanday.bsky.social · 23/09/2026

In #MathsToday, Year 13 did a new Mathematical Gettier Question linking to Differential Equations (and then we started looking at Integrating Factors).

$Mathematical Gettier Question titled “Second Derivative”. Oona incorrectly finds the second derivative of y=e^{-x^2} by squaring the first derivative. Questions ask students to find the correct second derivative, then solve a differential equation to determine all functions for which Oona’s method would give the correct answer.$

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Nathan Day @nathanday.bsky.social · 22/09/2026

In #MathsToday, Year 8 were doing Plans and Elevations. Inspired by this NCETM Checkpoint, we may have gone on a slight tangent into the history of the Egyptian pyramids. www.ncetm.org.uk/classroom-re...

Checkpoint asking which of four buildings—the Eiffel Tower, Elizabeth Tower, One Canada Square or the Great Pyramid—could have the shown bird’s-eye views. Diagrams show a square with diagonals and a tapered square structure viewed from above.

Solution slide showing possible bird’s-eye-view sketches of One Canada Square and Elizabeth Tower. One Canada Square is represented by overlapping squares with diagonals; Elizabeth Tower by nested squares with diagonal lines and an ornate outer edge.

Aerial view looking directly down on the Great Pyramid of Giza, showing its square base and four triangular faces meeting at the centre.

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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...

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Nathan Day @nathanday.bsky.social · 16/09/2026

(I must say, 2026-me is really appreciating the effort 2024-me went to in making a function to control the speed at which the purple line sweeps - giving it that little bounce between powers.)

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Nathan Day @nathanday.bsky.social · 16/09/2026

Yes! And there's something I just love about seeing the power build up and do all the loops needed to reach the original number.

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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.

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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Nathan Day @nathanday.bsky.social · 13/09/2026

I've just added the Algebraic Identities / Comparing Coefficients / Algebraic Fractions tasks I made back in 2022 to interwovenmaths.com/algebraic-id... My favourite part is these discussions, where [spoilers] you can show that 42 and 9 are in fact the only options, each with a nice interpretation.

$Two algebraic fraction identities labelled a and b, asking which is easier. The coefficients 42 in a and 9 in b are highlighted in purple$ $Two follow-up algebraic fraction identities labelled c and d. Question c asks why the identity with 14 highlighted is impossible; question d asks which other values of the highlighted coefficient d are possible.$

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Nathan Day @nathanday.bsky.social · 11/09/2026

In #MathsToday, Year 10 had a brief diversion to learn about the mathematics of Gerrymandering - the focus of this topic's mathematician, Moon Duchin. We watched a nice video: www.youtube.com/watch?v=tqCa... and discussed some questions from: mathematics-democracy-institute.org/gerrymanderi...

A cover page of a booklet on Chapter 2 - Expressions, featuring a bio of Moon Duchin.

A slide from https://mathematics-democracy-institute.org/gerrymandering/ on the Polsby-Popper Compactness Score.

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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

Meanwhile, Year 8 in #MathsToday were continuing with their progress through their Maths Pad @mathspadnicola.bsky.social sequences booklet (which are always astonishingly good), and getting used to the format of their starters, which are currently focussing on some key number work.

Page 1 of a set of starters. Each starter is divided into four sections: Numeracy, Sequences, Solving Equations and Decimals.

Page 2 of a set of starters. Each starter is divided into four sections: Numeracy, Sequences, Solving Equations and Decimals.

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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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Nathan Day @nathanday.bsky.social · 07/09/2026

That came later! They started with this on A3 in groups of three. Most needed some nudging towards non-listing strategies though, usually by considering simpler versions and pattern spotting. Then we 'moved on' to do some binomial expansions, before finding some familiar numbers reappearing!

An A3 version of the Pascal's Triangle problems.

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Nathan Day @nathanday.bsky.social · 07/09/2026

Meanwhile, with my other Year 10 class, in #MathsToday we did these lovely decimal tasks: - www.openmiddle.com/sums-with-th... - interwovenmaths.com/addition-pyr... - interwovenmaths.com/four-ops-tab... - donsteward.blogspot.com/2011/11/easy...

Open Middle decimals task, and some decimal addition pyramids.

Decimals 4 Operations Completion Table, and some Don Steward Multiplication and Division decimals questions.

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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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Nathan Day @nathanday.bsky.social · 31/08/2026

*New* Mathematician of the Week Posters Here's something I've been working on over the summer. A growing set of posters of mathematicians doing cool things with maths. Each comes in black/white or colour, with a quote and a link to read more. Check them out at: interwovenmaths.com/mathematicians

Collage of 25 posters of mathematicians.

Screenshot of week 1, showing a poster, a quote and a link.

Screenshot of week 14, showing a poster, a quote and a link.

Screenshot of week 12, showing a poster, a quote and a link.

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Nathan Day @nathanday.bsky.social · 26/08/2026

Nope. This is what my research found. I don't know if there's an official list somewhere? Online MathsConfs were 23-26.

Event Date Location

MathsConf1 14 Jun 2014 Kettering

MathsConf2 27 Sep 2014 Kettering

MathsConf3 14 Mar 2015 Aston University, Birmingham

MathsConf4 20 Jun 2015 Grand Connaught Rooms, London

MathsConf5 26 Sep 2015 Ponds Forge, Sheffield

MathsConf6 5 Mar 2016 KingsGate Conference Centre, Peterborough

MathsConf7 25 Jun 2016 Royal Armouries / New Dock Hall, Leeds

MathsConf8 1 Oct 2016 Kettering

MathsConf9 11 Mar 2017 City Academy Bristol, Bristol

MathsConf10 24 Jun 2017 CEME Conference Centre, London

MathsConf11 — CANCELLED

MathsConf12 19 Aug 2017 Dunfermline

MathsConf13 30 Sep 2017 Sheffield

MathsConf14 10 Mar 2018 Kettering

MathsConf15 23 Jun 2018 Manchester Enterprise Academy Central, Manchester

MathsConf16 8 Sep 2018 The High School of Glasgow, Glasgow

Event Date Location

MathsConf17 13 Oct 2018 Birmingham

MathsConf18 9 Mar 2019 City Academy Bristol, Bristol

MathsConf19 22 Jun 2019 Penistone Grammar School, Sheffield

MathsConf20 21 Sep 2019 Edinburgh College, Sighthill Campus, Edinburgh

MathsConf21 12 Oct 2019 Peterborough

MathsConf22 14 Mar 2020 Manchester Enterprise Academy Central, Manchester

MathsConf23 20 Jun 2020 Online

MathsConf24 3 Oct 2020 Online

MathsConfMini 22 Jan 2021 Online

MathsConf25 13 Mar 2021 Online

MathsConf26 10 Jul 2021 Online

MathsConfMini2 27 Aug 2021 Online

MathsConf27 16 Oct 2021 The John Wallis Academy, Ashford

MathsConfOnline 21 Jan 2022 Online

MathsConf28 12 Mar 2022 Gloucester Academy, Gloucester

MathsConf29 25 Jun 2022 Kettering Conference Centre, Kettering

Event Date Location

MathsConfOnline 19 Aug 2022 Online

MathsConf30 15 Oct 2022 Manchester Enterprise Academy Central, Manchester

MathsConfOnline 23 Jan 2023 Online

MathsConf31 11 Mar 2023 Brakenhale School, Bracknell

MathsConf32 24 Jun 2023 Chellaston Academy, Derby

MathsConf33 7 Oct 2023 The Education Exchange, Leeds

MathsConfOnline 17 Nov 2023 Online

MathsConf34 16 Mar 2024 Yate Academy, Bristol

MathsConf35 22 Jun 2024 Beauchamp College, Leicester

MathsConfOnline 16 Aug 2024 Online

MathsConf36 12 Oct 2024 Astrea Academy Sheffield, Sheffield

MathsConf37 15 Mar 2025 Newfield Secondary School, Sheffield

MathsConf38 21 Jun 2025 Ormiston Sandwell Community Academy, Birmingham

MathsConf39 11 Oct 2025 Harris Academy St John's Wood, London

MathsConf40 18 Apr 2026 City of Derby Academy, Derby

MathsConf41 5 Sep 2026 Maghull High School, Liverpool

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Nathan Day @nathanday.bsky.social · 13/08/2026

In retrospect, redesigning the mobile view of my Edexcel Grade Boundaries page wasn't a task best left for the morning of Results Day. Oh well, here it is. interwovenmaths.com/grade-bounda...

Edexcel A Level Maths Grade Boundaries by Paper.

Edexcel Further Maths Individual Paper boundaries

Edexcel Further Maths Grade Boundaries by Option Choice

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Nathan Day @nathanday.bsky.social · 06/07/2026

I'm on my way to Lincoln Bishop University to talk about all things Interweaving at the East Midlands East Maths Hub Annual Conference. If you'd be interested in me doing a workshop or similar at your school, conference, university, work group, etc., just reach out! interwovenmaths.com/cpd

Title slide for Don’t Stop Interweavin’, a CPD presentation about Interweaving.

Slide comparing six proportional reasoning problems and asking which one is the odd one out.

Slide showing several right-angled triangle questions with equivalent side-length structures in different forms.

Slide showing six multiplication-related questions built around the fact that 32 × 45 = 1440.

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Nathan Day @nathanday.bsky.social · 02/07/2026

How do you feel about tasks like this [see image, by Stuart Palmer] which have deliberately inaccurate diagrams*? I think they can provoke some very nice thinking. [*Or, that use diagrams to convey very specific bits of information and not others.]

Worksheet titled “What Quadrilateral am I?” showing 21 copies of the same roughly drawn quadrilateral, each with different geometric markings such as equal sides, parallel sides, right angles, equal angles, diagonals, and bisectors. Students must ignore the inaccurate drawing, use only the markings, and identify the most specific possible quadrilateral type from: quadrilateral, kite, trapezium, parallelogram, rhombus, rectangle, or square.

https://x.com/misterwootube/status/1233302933959086080?s=20

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Nathan Day @nathanday.bsky.social · 01/07/2026

I'm on my way to my first MEI Conference #MEIConf2026, and have packed with just enough space to hopefully take home one of @danihosford.bsky.social / @tlmaths.bsky.social 's books! Excitement abounds.

A photo of me on a train at Nottingham station.

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Nathan Day @nathanday.bsky.social · 04/06/2026

This is a somewhat-similar Madas one?

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Nathan Day @nathanday.bsky.social · 02/06/2026

Ooh - I'd better update my Exam Countdown page... Do these look correct? interwovenmaths.com/countdown

Provisional Exam Countdown page for 2027 Edexcel GCSE Exams

Provisional Exam Countdown page for 2027 Edexcel A Level Exams

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Nathan Day @nathanday.bsky.social · 28/04/2026

Love it! I've found that a discussion of this bit of dialogue has been helpful in my recent proof by contradiction lessons.

Four-panel meme from a Modern Family scene.
A smiling woman says, ‘I was wondering if we could have a little chat.’
A young man replies, ‘You want me to go home.’
She answers, ‘No. No, it’s the opposite of that.’
He looks confused and asks, ‘I want you to go home?’

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Nathan Day @nathanday.bsky.social · 18/02/2026

I'm having a very fun nostalgia trip

A factor tree made from formula triangles

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Nathan Day @nathanday.bsky.social · 18/02/2026

And these classics, of course

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Nathan Day @nathanday.bsky.social · 18/02/2026

This is why I use a formula triangle for it.

An abomination.

[A formula triangle for Capture-Recapture]

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Nathan Day @nathanday.bsky.social · 28/01/2026

I'd consider these to all be in the realm of Different Surface Same Deep, I reckon. Some more available here: interwovenmaths.com/daydream-int... and here: interwovenmaths.com/making-conne...

A selection of 6 questions using proportional reasoning in different contexts with the same numbers. A prompt saying 'Which is the odd one out?'

A selection of 6 questions using linear relationships in different contexts with the same numbers. A prompt saying 'Change each question to make the answer 43.'

A selection of 6 questions involving reciprocals in different contexts with the same numbers.

A selection of 6 questions involving manipulating a given multiplication in different contexts.

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Nathan Day @nathanday.bsky.social · 23/10/2025

Look who I happened to bump into...

A photo of me and Karen in a grotto/fernery.

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Nathan Day @nathanday.bsky.social · 18/09/2025

To be fair, I already suggested it to you as a title in a conversation two years ago!

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Nathan Day @nathanday.bsky.social · 15/09/2025

In #MathsToday, Year 12 tackled some Underground Maths tasks on inequalities. Inequality sets: undergroundmathematics.org/polynomials/... Inequalities for some occasions: undergroundmathematics.org/quadratics/i... I always find with their tasks there's more to them than initially meets the eye.

$A three-circle Venn diagram labelled A, B, and C inside a rectangle. Each region represents inequalities with certain properties: • A: the solution set is a subset of x \leq 1. • B: the solution set is of the form a \leq x \leq b. • C: the inequality is satisfied by x = 4. Below the diagram is a set of numbered inequalities in boxes. The task is to place each inequality into the correct region of the Venn diagram according to the properties of its solution set. https://undergroundmathematics.org/quadratics/inequalities-for-some-occasions$

A table with three columns: “Solution set”, “Graph”, and “Inequality”. Each row must be completed so that it contains:
• a solution set written in set notation,
• a graph showing a function or curve to help solve the inequality,
• the inequality itself.

Some rows are partially filled with either a solution set, a graph, or an inequality, and the student must fill in the missing parts to match them consistently.

https://undergroundmathematics.org/polynomials/inequalities

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Nathan Day @nathanday.bsky.social · 13/09/2025

Or, as David Foster Wallace put it, 'There is no such thing as not worshipping. Everybody worships.'

"Because here’s something else that’s weird but true: in the day-to-day trenches of adult life, there is actually no such thing as atheism. There is no such thing as not worshipping. Everybody worships. The only choice we get is what to worship. And the compelling reason for maybe choosing some sort of god or spiritual-type thing to worship–be it JC or Allah, be it YHWH or the Wiccan Mother Goddess, or the Four Noble Truths, or some inviolable set of ethical principles–is that pretty much anything else you worship will eat you alive. If you worship money and things, if they are where you tap real meaning in life, then you will never have enough, never feel you have enough. It’s the truth. Worship your body and beauty and sexual allure and you will always feel ugly. And when time and age start showing, you will die a million deaths before they finally grieve you. On one level, we all know this stuff already. It’s been codified as myths, proverbs, clichés, epigrams, parables; the skeleton of every great story. The whole trick is keeping the truth up front in daily consciousness.

Worship power, you will end up feeling weak and afraid, and you will need ever more power over others to numb you to your own fear. Worship your intellect, being seen as smart, you will end up feeling stupid, a fraud, always on the verge of being found out. But the insidious thing about these forms of worship is not that they’re evil or sinful, it’s that they’re unconscious. They are default settings.

They’re the kind of worship you just gradually slip into, day after day, getting more and more selective about what you see and how you measure value without ever being fully aware that that’s what you’re doing."
https://fs.blog/david-foster-wallace-this-is-water/

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Nathan Day @nathanday.bsky.social · 12/09/2025

In #MathsToday, Year 12 looked at some graph intersections and solving some simultaneous equations, and then sketching the graphs!

A maths worksheet titled “Simultaneous Equations & Points of Intersection.” It shows a grid where different pairs of equations intersect, and the task is to fill in the correct intersection points from a list of given coordinates. Some boxes are shaded and students must explain how many intersection points there are, without calculating the coordinates.

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Nathan Day @nathanday.bsky.social · 08/09/2025

Other ones we've done include: 1) another nice quadratics task with some lovely generalisinging 2) an odd one out indices task, with opportunities for some creativity when giving the odd ones out friends!

Maths question titled ‘Suggest possible equations for the graphs on the diagram. Generalise your answer.’ The diagram shows two parabolas: one opening upwards and one opening downwards. They touch at a single point above the x-axis, forming a point of tangency. The task is to suggest equations for these parabolas and to generalise the form of such equations.

Maths problem saying ‘Identify the odd one out in each row. Fill the gap so that it is no longer odd.’
In each row there are three expressions with powers, with one that is not equal to the other two. There is a space on each row to fill with something equal to the odd one out.

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Nathan Day @nathanday.bsky.social · 08/09/2025

In #MathsToday, Year 12 and I enjoyed doing some Susan Wall tasks. I particularly enjoyed this one. We matched the graphs up, and then found the coordinates of all the interesting points.

“Maths question titled ‘Which equation matches which graph?’ On the left, five quadratic equations are listed: (1) y = 6x – 3x² – 3, (2) y = x² – 2x + 5, (3) y = x² – 2x – 3, (4) y = 2x – x² + 3, (5) y = 3x² – 6x + 3. On the right, five parabolas are drawn on a coordinate grid, some opening upwards and some downwards, intersecting around the origin. The task is to match each equation to its corresponding parabola and explain the reasoning.”

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Nathan Day @nathanday.bsky.social · 27/08/2025

I hope my Year 10s have enjoyed their summer holiday work, which included various options from the likes of @ayliean.bsky.social, @tibees.bsky.social, @elliesleightholm.bsky.social, @meimaths.bsky.social, @nrichmaths.bsky.social, @simonsinghnerd.bsky.social, and @desmos.com. (All links in alt text)

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Nathan Day @nathanday.bsky.social · 25/08/2025

For those unfortunate enough to be starting back tomorrow... Over the summer Duelling Mathematicians has had a bit of an upgrade. Loads of new question types, game statistics, and design tweaks, but the same frenetic music and sound effects. More to come! interwovenmaths.com/_Duels.html

A screenshot of the end screen to a game of Duelling Mathematicians, showing the new Duel Statistics pop-up.

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