CP1 Mock Set 1 Q7 and CP1 2023 Q5 both involve line of intersection of two planes (although the latter is a bit of a special case), I believe.

Anybody else coming along to this tomorrow?
It would be nice to see some familiar faces 😀

Frankly, I'm appalled.

A few weeks ago, I asked for different ways a student might notice they've made a mistake.

I'd now love your ideas for techniques that can students use to check their answers.

e.g.
- substitute a solution back in to check it works
- redo a question with a different method

bsky.app/profile/nath...

- an answer that gives a probability greater than 1 or an acute angle greater than 90°
- getting one answer when the question said 'solutions' (or vice versa)
- a transformation/graph/chart going off the given axes
- getting a mean/median not within the range of the data

- a non-calc question requiring some rather involved calculations
- an answer not matching the form requested in the question (e.g. a+b√c)
- an answer that doesn't work when substituted back into the question
- an answer that doesn't use all the information given in the question

What warning signs could students pick up on that they might have gone wrong in an answer?

e.g.
- an unexpected negative/decimal answer,
- an answer requiring many more/fewer steps than the number of marks would suggest,
- an answer that would be weird in context (e.g. a taxi costing £3000)
...

Pearson Edexcel A Level Further Maths checklist UPDATE 20/08/2024: A few minor additions from Bicen and Hinds Maths Hi all, Please find the updated complete checklists for Year 12 Core Pure, Year 13 Core Pure, plus all the optional modules. I ha…

@mr-man-maths.bsky.social's incredible video checklists are my go-to recommendation for curriculum-based videos:

mrmanmaths.wordpress.com/2023/11/20/p...

mrmanmaths.wordpress.com/2023/12/08/p...

A factor tree made from formula triangles

I'm having a very fun nostalgia trip

And these classics, of course

a formula triangle for median

I preferred this one

An abomination. [A formula triangle for Capture-Recapture]

This is why I use a formula triangle for it.

To paraphrase my introductory probability lecture at university: Probability is merely the study of normalised countably-additive functions with a codomain of [0,1].

A selection of 4 questions involving the Harmonic Mean in different contexts.

A selection of 4 questions involving Product Rule for Counting in different contexts.

And a couple more...

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.

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...

Only the two I saw on the Chalkdust website! 🙂

'Christmaths Carols' has had a big upgrade for this year.

Now featuring 12 different songs, and recordings with my slightly dodgy piano and vocals!

interwovenmaths.com/christmaths

I'm looking forward to having a big sing-along with them in school later this week.

'Which of these numbers changes most when rounded to 4 decimal places?'

Thankfully not! We were in the grotto/fernery in the Swiss Garden at Shuttleworth.

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

Look who I happened to bump into...

Zero - The Story of a Number YouTube video by Jim Simons

If you don't know the history of zero, here's an explainer to get you up to speed with a fascinating story. Really there are two zeros: zero the digit and zero the number. So I start by exploring ancient number systems that had one or the other or both or neither.

youtu.be/7jQNTfe-5FM

The greatest hits of tasks by @nathanday.bsky.social 🎉

Unfortunately, for me, there was an even number in the class, so I had no-one to play against.

Fortunately, however, I had an online version of the game I made, which allowed me to play against the computer instead!

interwovenmaths.com/_DigitDisgui...

In #MathsToday*, I introduced Year 12 to the brilliant game Digit Disguises by @davidkbutler.bsky.social.

See here:
www.adelaide.edu.au/mathslearnin...

They really enjoyed it and immediately started coming up with lots of clever strategies.

*(Actually #Maths~16DaysAgo, but I've been a bit busy!)

Four Operations Completion Tables - Interwoven Maths by Nathan Day (@nathanday314) https://twitter.com/hashtag/FourOpsTables PPT Download PDF Download

Used @nathanday.bsky.social ’s sum-product(-difference-quotient) tables in an intervention session with Y10 in #MathsToday to support their factorisation of quadratics with negatives. Was really helpful to isolate the step of considering all the sign combos! 🤩
interwovenmaths.com/four-ops-tab...

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

I'm not sure 'taught and shared' sounds quite enough like 'thought and said' for this title to work, but oh well.

📣 #MathsConf39: The Best That Has Been Taught and Shared with Nathan Day (@nathanday314)

Explore all-time great maths tasks, why they work, and how to adapt or design your own to enrich lessons & inspire learners.

completemaths.com/community/ma...

#UKMathsChat

In particular, the second row of the table (Finding an inequality with solution set 0 < x ≤ 1) prompted great discussions about whether it could be done with a quadratic, properties of asymptotes, etc.

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

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.