iiinova — where your digital self keeps evolving

Reposted by Paddy Moore

Benjamin Cornish @mathematicians-pod.bsky.social · 21/08/2025

What's this? Oh it's episode 4 of #Un-NaturalNumbers With the magnificent @steckl.es and @paddymaths.bsky.social. Give it a watch if you're in the mood for Klein groups, Harshad numbers and Modulo 4 arithmetic. #mathstalk #mathschat #talkingnumbers youtu.be/RfNBjhHGJ54

youtu.be

Un-Natural Numbers: 4 - Klein Groups, Harshad Numbers & Mod 4

YouTube video by Un-Natural Numbers

051

Reposted by Paddy Moore

Niel Garrett @nielgarrett.bsky.social · 09/02/2025

Latest episode of Invasion of the Poddysnatchers is out now from me and @paddymaths.bsky.social, we watched Devil in a Blue Dress starring Denzel Washington and Don Cheadle from 1995. open.spotify.com/episode/29Of...

021

Reposted by Paddy Moore

Nathan Day @nathanday.bsky.social · 05/01/2025

I've also expanded my collection of A Level Further Maths 'Exam Question a Lesson' packs for the new half term. Setting and marking three of these questions each lesson has been really helpful with Year 13 this year. (As you can see, I've become a bit addicted to the Sagona font family!)

The cover page for a set of Further Statistics 1 exam questions.

The cover page for a set of Core Pure exam questions.

The cover page for a set of Mechanics and Statistics exam questions.

The cover page for a set of Core Pure 2 exam questions.

4215

Reposted by Paddy Moore

Catriona Agg @catrionaagg.bsky.social · 13/12/2024

I’ve ended up with a few spare lessons with Y8 (unknown for me, I’m usually behind!) so we’ve been doing investigations. They came up with loads of things I’d never thought of! I particularly liked one student’s justification of why even squares appear in square numbered rows. #MathsToday

A PowerPoint slide with handwritten annotations. On the left are general strategies for conducting an investigation:

1. Get a sense of the problem
Try lots of cases!
→ Systematic → different
2. Make a conjecture
Look for pattems
Make a prediction
3. Test your conjecture
Try to break it!
Weird example?
4. General argument
Write n for "any number"
Not specific cases
5. Extend
What would a mathematician do next?

On the right are examples of each step, all showing number pyramids with the same number along the bottom row. Example conjectures are:

• The top number is 4 x bottom numbers
• The two numbers on the second row will be the same
• The top number is always even
“If the bottom number is an integer” has been added to the last conjecture in a different colour.

Suggested extensions are:

• Subtract not add? multiply? divide?
• 4 layers? 5 layers? n layers?
• consecutive? sequence?

The same slide as before, but now with different annotations. The title at the top reads Investigate: bottom row is consecutive integers

Some examples are shown on the right. There are three conjectures:

Middle row all odd
Top number is even
Bottom middle number x4 = top number

There are three general pyramids, one with bottom row odd-even-odd, one with even-odd-even and one with n-n+1-n+2

A spreadsheet showing the numbers 1 to 72 arranged as an array of 18 rows by 4 columns. The column headings A to D and row numbers 1 to 18 are visible. Square numbers have been highlighted in yellow - the highlighted cells are only in the first and last columns.

Students’ conjectures are written on a whiteboard:

All square numbers are in column A or column D.
Square numbers alternate between A and D.
Gaps between two square numbers in the same column increase by 1 each time.
49 will be in column A , row 13.
Square numbers in column D are in square rows.
The gap from a square to the next one in its column is its square root.
Odd squares are in column A, even are in column D.

1111

Paddy Moore @paddymaths.bsky.social · 13/12/2024

In #MathsToday we will be playing lobster pots. I bloody love this game, and my version has become ridiculously complicated, with weather forecasts, pirates and extra places to go fishing. Here is a simple version: www.google.com/url?sa=t&sou...

google.com

010

Reposted by Paddy Moore

Chalkdust @chalkdustmag.bsky.social · 12/12/2024

Do you want an article you have written to appear in Chalkdust issue 21? If yes, the deadline for submissions is issue 21. We're looking forward to reading what you send us!

151

Reposted by Paddy Moore

Corbettmaths @corbettmaths.bsky.social · 08/12/2024

Exciting Project Revealed! 100 DAYS TO GO REVISION BOOKS 📚✅🎉 www.youtube.com/watch?v=bDTH...

youtube.com

Exciting Project Revealed |100 Days To Go Revision Books from Corbettmaths

YouTube video by corbettmaths

072

Reposted by Paddy Moore

Catriona Agg @catrionaagg.bsky.social · 07/12/2024

Four squares. What’s the area of the blue triangle? #geometrypuzzle This is another of my all-time favourite puzzles. Written on a day when the weather was too bad to go outside, so it seems appropriate for today! How would you solve it?

A puzzle drawn in black and blue felt tip pen.
In the bottom left is a square with area 5. Lined up on top of this original square is the second square, which is exactly the same size. Touching these two on their right is a larger third square, which is as tall as the first two put together. And on the right of the third square is the fourth and largest square - we can’t tell exactly how large this one is compared to the others.
The following three points are joined to create the blue triangle: the top left corner of the original square, the top right corner of the second square, and the top right corner of the largest square.

9437

Reposted by Paddy Moore

Catriona Agg @catrionaagg.bsky.social · 06/12/2024

One of the things we talked about yesterday was the importance of checking #ALevelMaths students know what makes a good sketch. So in #MathsToday I showed Y8 what good and bad sketches look like. I then plotted some graphs on @desmos.com and got them to sketch on MWB. Might as well start early!

On the left, under the heading A Good Sketch, is a sketch of y=3-2x.

On the right, under the heading Not A Good Sketch, is the same picture but the intercepts with the axis are not labelled, and nor is the line.

The same good sketch as the previous picture is on the left.

On the right is a sketch where a full scale has been marked onto the axes.

The same good sketch is on the left. On the right, the sketch doesn’t show the line crossing the y-axis.

The same good sketch is on the left. On the right, the intercepts with the axes are correctly labelled as 3 and 3/2, but the positioning of the axes would imply that the intercepts should be negative.

6405

Reposted by Paddy Moore

Amanda @pandamoanimum.bsky.social · 06/12/2024

A thread of silly videos I've made (most of which are over a minute long, so have to be posted via YouTube links) The final dance in Dirty Dancing, but they’re dancing to The Muppet Show theme tune. www.youtube.com/watch?v=V9v6...

youtube.com

Dirty Dancing to The Muppet Show theme tune

YouTube video by Pandamoanimum

35536123

Reposted by Paddy Moore

simonsinghnerd.bsky.social @simonsinghnerd.bsky.social · 04/12/2024

My Parallel Academy offers free online maths tutoring for 250 students. Just recruited 450 more! Preparing bright state school kids for UKMT maths challenges. We need more superstar maths teachers/tutors who offer 8+ hrs/wk evenings/weekends, £27.50/h. Email CV & note to tom@goodthinkingsociety.org

31514

Paddy Moore @paddymaths.bsky.social · 04/12/2024

In #MathsToday I was trying to explain how to manipulate numbers in standard form so that you could add them. The class was properly struggling with the concept until one of the kids went, "one gets big, the other gets small. How is this even difficult?" 😂

061

Paddy Moore @paddymaths.bsky.social · 04/12/2024

Whammageddon! Got done by a year 8 watching TikTok on his phone. Confiscated the phone in revenge, obviously.😂

020

Reposted by Paddy Moore

Amanda Austin @draustinmaths.com · 01/12/2024

My Y12 class has been solving trig equations this week, and in our first lesson calculators were banned! Here are the new resources I made for using exact values: ✨Exact Trigonometric Values Sort It Out ✨Solving Trigonometric Equations with Exact Values Crack the Code #UKMathsChat #ALevelMaths

1339

Reposted by Paddy Moore

The Secret History Of Hollywood Podcast @attaboyclarence.com · 16/11/2024

I’m giving away a 4K UHD / Blu-ray edition of Criterion’s stunning I WALKED WITH A ZOMBIE / THE SEVENTH VICTIM All you have to do it LIKE this, REPOST, and FOLLOW The winner will be chosen at random on 5th Dec! To enter twice, sign up at at Patreon via the link in the bio! Good luck!

49454

Reposted by Paddy Moore

Paddy MacMahon @paddymacmahon.com · 28/11/2024

In U6 #MathsToday we're starting off with a concrete example of finding the values of a and b that minimise the sum of the squares of the residuals for our linear model. #ALevelMaths

3132

Reposted by Paddy Moore

Jarrad Strain @jstrain.bsky.social · 28/11/2024

In #MathsToday we were making Sierpinski Tetrahedrons (Green so they can approximate a Christmas 🎄 tree) These two quiet students loved it being called "Sir Pink C" They decided it needed to be a handsome hat. #ITeachMaths #MTBOS

051

Reposted by Paddy Moore

Dan Shuster @danshuster.bsky.social · 17/11/2024

Mission accomplished! Last school year, I was inspired by another post to curate and organize 180 math tasks on Google Slides. Here is the link: bit.ly/180daysmath

54314

Reposted by Paddy Moore

Sheena @sheena2907.bsky.social · 27/11/2024

I'm #mathstoday we did some calculating b^2-4ac on whiteboards to iron out some negative number issues before using the quadratic formula to solve quadratics

5241

Reposted by Paddy Moore

Sam Blatherwick @blatherwicksam.bsky.social · 25/11/2024

Gradient-point-line structure #mathstoday #alevelmaths

3307

Reposted by Paddy Moore

Emily Rae @ecrmaths.bsky.social · 26/11/2024

Just finished differentiation with my #ALevelMaths students, and started integration. I'm reminded of this excellent xkcd comic... #MathsToday xkcd.com/2117/

Transcript of the xkcd comic, from explainxkcd.com

Two flow charts are shown.
The first flow chart has four steps in simple order, one with multiple recommendations.

DIFFERENTIATION
Start
Try applying
Chain Rule
Power Rule
Quotient Rule
Product Rule
Etc.
Done? No
Arrow returns to "Try applying" step.
Yes Done!

The second flow chart begins like the first, then descends into chaos.

INTEGRATION
Start
Try applying
Integration by Parts
Substitution
Done?
Haha, Nope!
Chaos, Roughly from left to right, top to bottom, direction arrows not included.

Cauchy's Formula???????!????????
Partial Fractions???
Install Mathematica?
Riemann Integration
Stokes' Theorem????
Risch Algorithm???
Sad face????????
What the heck is a Bessel Function??
Phone calls to mathematicians
Oh No
Burn the Evidence
More arrows pointing out of the image to suggest more steps.

47116

Reposted by Paddy Moore

Ben Sparks @sparksmaths.bsky.social · 27/11/2024

In March 2022 I discussed a property of twin primes with Brady on Numberphile youtu.be/n4gmYjyI3vo?... Pick a pair of large twin primes. Multiply. Find digital root. It's 8. I seem to remember I was first set this as a puzzle by Colin Wright (though that's true of many a thing...)

youtu.be

Twin Proofs for Twin Primes - Numberphile

YouTube video by Numberphile

0123

Reposted by Paddy Moore

Catriona Agg @catrionaagg.bsky.social · 27/11/2024

An absolute classic for Y9 #MathsToday. I don’t think I’ve ever seen them so engaged on a Wednesday afternoon.

A PowerPoint slide titled ‘Some nice little puzzles’

Text reads:
app.dwo.nl/en/se/
Log in as 'Guest'
Select 'SE Lower Grades' Select 'Cube buildings'
Select 'Building using three views 1'
For each puzzle, you need to build the 3D shape so that it matches the plans and elevations.
But! the fewer bricks you use, the more points you score.

There is a screenshot from the website, showing the top, front and side views of a 3D shape. The shape has been partially built, from yellow cubes sitting on a grey base.

3369

Paddy Moore @paddymaths.bsky.social · 27/11/2024

Teaching year 8 about polygons in #MathsToday and they were exploring why only some shapes tesselate. Using the Polypad online manipulatives was brilliant and they had a great time creating some "exciting" tiling patterns. polypad.amplify.com/p#polygons

polypad.amplify.com

Polypad – The Mathematical Playground

Unleash your creativity with the world’s best virtual manipulatives!

1131

Reposted by Paddy Moore

Hannah R @missradders.bsky.social · 27/11/2024

I do it like this with Y11 students.

2112

Reposted by Paddy Moore

Emily Rae @ecrmaths.bsky.social · 27/11/2024

#CoreMaths #MathsToday Finding the median, lower quartile, upper quartile, mean, standard deviation, etc quickly using a calculator. The fx-991EX, fx-991CW and CG50 all have completely different menus for this, so it took 3 times longer to teach than it used to. Thanks, Casio 🙄

3 models of Casio calculator are lined up on a desk: the GC50 graphical calculator, the fx-991EX and fx-991CW. A sheet on finding medians and quartile lies open next to them.

4214

Reposted by Paddy Moore

Richard Elwes @richardelwes.bsky.social · 26/11/2024

Excited to make by debut on Numberphile. Here's me talking about an "unprovable theorem" and some very big numbers. www.youtube.com/watch?v=0Le7...

youtube.com

Way Bigger Than Graham's Number (Goodstein Sequence) - Numberphile

YouTube video by Numberphile

3237

Reposted by Paddy Moore

Susan Whitehouse @susanwhitehouse.bsky.social · 26/11/2024

An old favourite, for anyone who is at THAT stage of the term #ALevelMaths

85914

Reposted by Paddy Moore

Lisa Emerson @liemers.bsky.social · 22/11/2024

In #MathsToday with year 12 fm #ALevelMaths we were doing integration questions from www.madasmaths.com - particularly enjoyed this one.

2315

Paddy Moore @paddymaths.bsky.social · 25/11/2024

In #MathsToday, year 10 have been moving to an algebraic understanding of direct proportion. We'd done loads of ratio tables and work from graphs before introducing equations using @draustinmaths.com's worksheets to allow some scaffolded independent work.

0122

Reposted by Paddy Moore

Rob Southern @mrsouthernmaths.bsky.social · 25/11/2024

A menu of integration at the start of #MathsToday for Y13. Classify by technique. Lots of good discussions. #ALevelMaths

63411

Reposted by Paddy Moore

Bicen Maths - Seb Bicen @bicenmaths.bsky.social · 24/11/2024

To give back to my community, I have created a scholarship for 5 worthy students in Year 12 or 13 studying A-Level Maths/FM. Please share this with your students - the scholarship awards them with a @CasioMaths graphics calculator + £150! youtu.be/Cd7JFkhMp6Q?si… Please 🔁! @mathsjem.bsky.social

youtu.be

The Bicen Maths Award 2025 🏆

YouTube video by Bicen Maths

0125

Reposted by Paddy Moore

Amanda Austin @draustinmaths.com · 24/11/2024

More new resources from Year 12 lessons last week (I really need to be more prompt with #MathsToday!) Two very similar fill in the blanks resources, one with more of a focus on area: ✨Sine and Cosine Rules Fill in the Blanks ✨Area of a Non Right-Angled Triangle Fill in the Blanks #UKMathsChat

Area of Non Right-Angled Triangles Fill in the Blanks

Sine and Cosine Rules Fill in the Blanks

12810

Reposted by Paddy Moore

Brian Bilston @brianbilston.bsky.social · 23/11/2024

Today’s poem celebrates Fibonacci Day. It’s called ‘Word Crunching’.

Word Crunching

I
wrote
a poem
on a page
but then each line grew
to the word sum of the previous two
until I began to worry about all these words coming with such frequency
because as you can see, it can be easy to run out of space when a poem gets all Fibonacci sequency

Brian Bilston

351292325

Reposted by Paddy Moore

Mary Bourassa @marybourassa.bsky.social · 21/11/2024

#MathsToday We explored transformations of logarithmic functions today. Started with this (old) Desmos activity. Next, I put out 10 printouts of log base 10 graphs and students had to determine their equations. teacher.desmos.com/activitybuil...

teacher.desmos.com

5.2 Log Transformations

This activity looks at transformations of logarithmic functions. It is intended for students who have already studied transformations of functions.

1102

Reposted by Paddy Moore

Karen @karenshancock.bsky.social · 21/11/2024

In #MathsToday we covered histograms. Here's a fun task I wrote - certainly got them thinking. A lot missed the all important 63 in the start of the question. (With thanks to @nathanday.bsky.social for his input in writing this) Downloadable version linked here: kshancock.co.uk/lessonresour...

A histogram question which reads:

Erin has collected the following data about 63 members of her local running club and printed off the frequency table and histogram.

The printer is running out of ink – so it hasn’t printed clearly

Complete the table and the histogram for Erin.

The frequency table and histogram are obscured by white splodges with make various values in the table and both sets of axes scales and height of some bars unreadable.

5236

Paddy Moore @paddymaths.bsky.social · 21/11/2024

Totally derailed my year 8 class in #MathsToday by looking at how many ancestors you have going back over 40 generations (sort of 1066ish). We used some estimation and powers of 2 to come up with an unbelievably large number. Main takeaway - "I glad they are not all coming over for Christmas"

5131

Reposted by Paddy Moore

Luciano Rila @drtrapezio.bsky.social · 21/11/2024

Year 12 Problem Solving Classes at UCL If you teach in a state London school, please consider registering your Further Maths students for this programme. For further details & to register: forms.office.com/Pages/Design...

forms.office.com

Microsoft Forms - Free tool to create online surveys, forms, polls, and quizzes

Use Microsoft Forms to easily create online surveys, forms, quizzes and questionnaires. AI powered, free survey tool from Microsoft.

144

Paddy Moore @paddymaths.bsky.social · 20/11/2024

Not a great day for my #MathsToday, as I've been off sick with a cold or flu or possibly the plague. However, I have these useful worksheets by Tristan Jones that can act as cover or homework. They are not revolutionary, but are a bit of a lifesaver for emergencies. www.tes.com/teaching-res...

tes.com

Maths Homework booklet Y8/9 higher ability | Teaching Resources

10 homework sheets that can be printed into a booklet. Track students progress on a range of topics over the weeks to see if they are improving. Each week questions

022

Reposted by Paddy Moore

Stuart Billington @stubillington.uk · 22/11/2023

📍Welcome to the UK Teaching feed. This feed is for anything to do with school teaching in the UK. For your posts to appear in the feed you just need to include "#UKTeaching" in your profile description and then a 🎓 in your posts (#UKTeaching and #UKEd also work if you prefer a hashtag).

74013

Paddy Moore @paddymaths.bsky.social · 18/11/2024

I'm teaching constructions to my year 10's today, and I will be using the brilliant MathsPad Constructions Tool for demonstrations. (1/2) #MathsToday www.mathspad.co.uk/i2/construct...

mathspad.co.uk

Constructions Tool

251

Reposted by Paddy Moore

Catriona Agg @catrionaagg.bsky.social · 11/11/2024

Hi new maths teacher followers! One of the best things we do here is share little bits of our maths lessons using #MathsToday. It doesn’t have to be an incredible new idea - just a little positive snippet from your day. Please join in, I’d love to know what you’ve been up to today!

56730

Reposted by Paddy Moore

Ed Southall @edsouthall.bsky.social · 17/11/2024

One of the more confusing US UK relationships

A depiction of a trapezoid (US) in the style of The Mr Men by Roger Hargreaves.

A depiction of a trapezium (UK) in the style of The Mr Men by Roger Hargreaves.

25212

Paddy Moore @paddymaths.bsky.social · 16/11/2024

That was awesome. Loved it Still singing Birdhouse in Your Soul on the bus. #TheyMightBeGiants

030

Paddy Moore @paddymaths.bsky.social · 16/11/2024

Off to see They Might be Giants tonight. Seems like it might be a popular idea. #TheyMightBeGiants #SurpriseQueue

Loads of people queuing to see They Might be Giants

030