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Dan F

@finlaymaths.bsky.social

Northumberland based. Oxford Maths graduate. Ex teacher. Enjoy seeing maths questions from different counties.

50 Followers  |  52 Following  |  18 Posts  |  Joined: 19.04.2025  |  2.188

Latest posts by finlaymaths.bsky.social on Bluesky

Does anyone have any good tips for revising for AQA Level 2 Further Maths? I am writing an article and want to get as much first-hand experience as possible.
#furthermaths

24.10.2025 14:26 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

Any accounting teachers on here?
#accounting #igcse #alevel #sqa

15.10.2025 14:22 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
Method for factorising a non-monic quadratic by turning it into a monic quadratic in terms of 8x

Method for factorising a non-monic quadratic by turning it into a monic quadratic in terms of 8x

Also this method for factorising a non-monic quadratic. It turns it into a monic quadratic but in terms of a different variable.
Lots of students would write y^2-2y-120 and factorise, change for 8x and divide by 8. But they didn't really know why. This was always the missing jigsaw piece for them.

29.09.2025 16:41 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
Method for factorising a monic quadratic using completing the square and difference of two squares.

Method for factorising a monic quadratic using completing the square and difference of two squares.

Had a great get-together with my team on maths. Even found time to discuss different methods.
It reminded me of a method to factorise a monic quadratic without having to magic up two numbers. One of my previous year 12 students loved it as it took the guesswork away.

29.09.2025 16:37 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 1

It works just like binomial and Poisson. They're not symmetry. You can also do hypothesis tests on variances using the Chi Squared distribution which isn't symmetrical.

29.08.2025 20:59 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
Preview
Geometric Hypothesis Testing | Edexcel A Level Further Maths Revision Notes 2017 Revision notes on Geometric Hypothesis Testing for the Edexcel A Level Further Maths syllabus, written by the Further Maths experts at Save My Exams.

There's definitely no reason why you can't have one. www.savemyexams.com/a-level/furt...

29.08.2025 07:10 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

I wish I knew this when I worked in Sixth Form colleges. We used OCR in one and Edexcel in the other. The students would have preferred having only two papers.
However having a third helps for targeted revision between papers I suppose.

22.08.2025 10:03 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

Ah interesting to know! Thanks.

21.08.2025 19:42 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

Why are the high grades so low for Eduqas Maths? Do most people who choose that board do foundation?

21.08.2025 19:18 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 2    πŸ“Œ 0
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Does anybody else find the decimal points annoying on WJEC papers? They look like multiplication dot signs.

21.08.2025 07:03 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

The other should be optional. This would help to solve lots of issues. Also think GCSE Stats needs to be highlighted more.

31.07.2025 11:30 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

Fully agree! There should be a "numeracy" one which contains the skills that most jobs require such as percentages and data handling. It doesn't even need to be a GCSE. It could just be a pass/fail like the numeracy test that teachers take.

31.07.2025 11:28 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 2    πŸ“Œ 0

I did pretty much the same lesson today with Y10, although much quicker. It worked really well - we were able to recap all the index laws they knew and explain why they work, and then move onto negative and fractional powers. #MathsToday

10.07.2025 17:04 β€” πŸ‘ 14    πŸ” 2    πŸ’¬ 0    πŸ“Œ 0

Or ban the Γ· symbol.

09.07.2025 10:09 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
6 Γ· 2(1+3) is it 1 or 9

6 Γ· 2(1+3) is it 1 or 9

I love these kinds of debates. They show that there are still some ambiguities in maths around some symbols.

How would you view it if it were 6Γ·2(x+1)?
What about 6Γ·2x?

If it were 6Γ·2Γ—(1+2), I think a lot of the ambiguity would disappear.

09.07.2025 10:08 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
Always? Sometimes? Never?

x^2 + Ax + B = (x+c)^2+8

1. C is less than A.
2. The vertex has an x-coordinate of 8.
3. B is less than A.
4. If C is an integer, so is A.
5. If A is an integer, so is B.
6. B is greater than 8.
7. If you know B, you can work out A and C.
8. The quadratic has two roots.
9. The minimum valueof the quadratic is 8.
10. If you know A, you can work out B and C.

Always? Sometimes? Never? x^2 + Ax + B = (x+c)^2+8 1. C is less than A. 2. The vertex has an x-coordinate of 8. 3. B is less than A. 4. If C is an integer, so is A. 5. If A is an integer, so is B. 6. B is greater than 8. 7. If you know B, you can work out A and C. 8. The quadratic has two roots. 9. The minimum value of the quadratic is 8. 10. If you know A, you can work out B and C.

Printable version of the activities, to be cut up and used as a card sort.

Printable version of the activities, to be cut up and used as a card sort.

In #MathsToday, Year 10 enjoying having a go at this Quadratics Always/Sometimes/Never task (which I did as a card sort in pairs).

It was really interesting to tease out the subtleties, look at different edge cases, and keep bringing things back to the graphs.

25.06.2025 16:36 β€” πŸ‘ 42    πŸ” 9    πŸ’¬ 6    πŸ“Œ 0
P = {(x,y):⌊xβŒ‹Β²+⌊yβŒ‹Β² = 98}
Q = {(x,y):⌊xΒ²βŒ‹+⌊yΒ²βŒ‹ = 98}
R = {(x,y):⌊xΒ²+yΒ²βŒ‹ = 98}

P = {(x,y):⌊xβŒ‹Β²+⌊yβŒ‹Β² = 98} Q = {(x,y):⌊xΒ²βŒ‹+⌊yΒ²βŒ‹ = 98} R = {(x,y):⌊xΒ²+yΒ²βŒ‹ = 98}

Each of the relations below has non-zero area in ℝ².
Which has the greatest area?
Which has the least area?
How do you know?
#iteachmath

13.06.2025 18:57 β€” πŸ‘ 15    πŸ” 6    πŸ’¬ 4    πŸ“Œ 0
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The 2025 AP Statistics Exam scores:
5: 17%; 4: 21%; 3: 22%; 2: 16%; 1: 24%

20.06.2025 17:14 β€” πŸ‘ 10    πŸ” 1    πŸ’¬ 3    πŸ“Œ 0

I taught A Level Accounting despite having no prior knowledge. It was a great fun challenge!

14.06.2025 08:46 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

We recently made resources for Calc BC and it looks like an awesome course. Do you teach it in the UK or are you US based?

24.05.2025 07:24 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
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This is from this year's AP Calculus BC exam. I wonder if A Level students would be able to tackle it.

23.05.2025 06:48 β€” πŸ‘ 18    πŸ” 4    πŸ’¬ 3    πŸ“Œ 1

For the next stage of our trig lessons, we looked at the unit circle and introduced sine and cosine as a way to generate a reference triangle for any angle. At this stage they’re still then using similarity and ratio tables to find the missing sides. #MathsToday

19.05.2025 16:21 β€” πŸ‘ 20    πŸ” 3    πŸ’¬ 4    πŸ“Œ 1
Instead of simply asking pupils to "work out" the answer to a problem, try rephrasing the command to a more interesting alternative.

Instead of "calculate the following"...​"Which of these have the same answer?"​

Instead of "complete the addition pyramid"​..."how many ways can you make the top brick equal to 20"?​

Instead of "calculate the perimeter"...​"Which piece of string is the longest?"​

Instead of simply asking pupils to "work out" the answer to a problem, try rephrasing the command to a more interesting alternative. Instead of "calculate the following"...​"Which of these have the same answer?"​ Instead of "complete the addition pyramid"​..."how many ways can you make the top brick equal to 20"?​ Instead of "calculate the perimeter"...​"Which piece of string is the longest?"​

A slight change of wording is a quick win to ask more engaging questions.

17.05.2025 07:45 β€” πŸ‘ 32    πŸ” 9    πŸ’¬ 0    πŸ“Œ 0
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With a high degree of confidence, we can confirm new inference tests are now live! πŸŽ‰

πŸ—’οΈ Learn more in the Desmos Help Center: help.desmos.com/hc/en-us/art...
#mathsky #iteachmath #statistics

14.05.2025 11:23 β€” πŸ‘ 37    πŸ” 14    πŸ’¬ 3    πŸ“Œ 0
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No BBC a change of 7 degrees C is not a change of 45 degrees F, it's a change of 7x1.8 = 12.6 F.

Similarly a change of 13 degrees C is not a change of 55 degrees F, it's a change of 13x1.8 = 23.4 F

You don't need to add on the 32 when you're talking about *changes* in temp.

01.05.2025 08:08 β€” πŸ‘ 164    πŸ” 37    πŸ’¬ 16    πŸ“Œ 2
Can you solve the puzzle?  What goes in each blank of the area model?
A 2 row by 3 column array is shown.  To the left of the array, a 2x is shown in row 1 and a 3 is shown in row 2.  A 10x^3 is shown in the 1st row, 1st column cell.  The rest of the cells and the 3 spaces above the first row all have question marks.  Under the array, the total area is given as 10x^3 + 23x^2 – 4x – 24.

Can you solve the puzzle? What goes in each blank of the area model? A 2 row by 3 column array is shown. To the left of the array, a 2x is shown in row 1 and a 3 is shown in row 2. A 10x^3 is shown in the 1st row, 1st column cell. The rest of the cells and the 3 spaces above the first row all have question marks. Under the array, the total area is given as 10x^3 + 23x^2 – 4x – 24.

Launch for tomorrow's polynomial division lesson. #iteachmath #MTBoS

01.05.2025 01:52 β€” πŸ‘ 30    πŸ” 6    πŸ’¬ 4    πŸ“Œ 0
If n is an integer and n^3+ 5 is odd, then n is even 
[in pink] There is an odd integer k for which k^3+ 5 is odd

Underneath a proof has been written out, using the following sentence starters which are in a different colour. 
Suppose that... 
Then k can be written as...
So k^3+5 = 
which is a contradiction because... 
So there is no...
Therefore…

If n is an integer and n^3+ 5 is odd, then n is even [in pink] There is an odd integer k for which k^3+ 5 is odd Underneath a proof has been written out, using the following sentence starters which are in a different colour. Suppose that... Then k can be written as... So k^3+5 = which is a contradiction because... So there is no... Therefore…

A similarly scaffolded proof that if a is an integer and a^2 is even, then a is even. 
Pink text reads: There is an odd integer k for which k^2 is even

A similarly scaffolded proof that if a is an integer and a^2 is even, then a is even. Pink text reads: There is an odd integer k for which k^2 is even

A similarly scaffolded proof that if a is rational and b is irrational, a+b is irrational

A similarly scaffolded proof that if a is rational and b is irrational, a+b is irrational

A diagram to represent the logic behind proof by contradiction. 
Pale coloured text underneath the diagram reads: If this were true, this would be true, and this would be true,... And this would be true, but I know it can't be.
Since my chain of reasoning is watertight, the problem must be at the very beginning, so the initial statement is false.

A diagram to represent the logic behind proof by contradiction. Pale coloured text underneath the diagram reads: If this were true, this would be true, and this would be true,... And this would be true, but I know it can't be. Since my chain of reasoning is watertight, the problem must be at the very beginning, so the initial statement is false.

Y12 have found proof by contradiction really hard! We did some practice at just writing down the opposite statement first (pink in first 2 pics), and then I’ve been scaffolding the proofs fairly heavily.
Does anyone have a good bank of examples for more practice?
#ALevelMaths #MathsToday

28.04.2025 16:43 β€” πŸ‘ 36    πŸ” 4    πŸ’¬ 3    πŸ“Œ 0
Worked solution to an exam question about C+iS sequences, with the lines numbered

Worked solution to an exam question about C+iS sequences, with the lines numbered


Study the worked solution, and then answer these questions.

1. Explain why line 2 is equivalent to line 1

2. Explain why line 3 is equivalent to line 2

3. What is happening at line 5, and why?

4. Which trigonometric identity has been used, and in which line(s)?

5. Line 12 is missing. Complete the working.

6. Why is it important that a is a real number with |a|< 1?

7. Where would you allocate the 8 marks for this question?

Study the worked solution, and then answer these questions. 1. Explain why line 2 is equivalent to line 1 2. Explain why line 3 is equivalent to line 2 3. What is happening at line 5, and why? 4. Which trigonometric identity has been used, and in which line(s)? 5. Line 12 is missing. Complete the working. 6. Why is it important that a is a real number with |a|< 1? 7. Where would you allocate the 8 marks for this question?

I was finally organised enough to write out a worked solution in advance rather than doing it live. I think this worked well - need to do it more often! #ALevelMaths #MathsToday

31.03.2025 16:42 β€” πŸ‘ 34    πŸ” 4    πŸ’¬ 5    πŸ“Œ 3
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This is a 2 mark question from CBSE Grade XII Applied Maths paper. I'm not ashamed to admit I had no idea how to integrate that!

19.04.2025 11:40 β€” πŸ‘ 5    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

In my role of KS5 Maths Coordinator, a passion project of mine over the last 3 years has been to launch A-Level Statistics at my school. I successfully launched and now have two cohorts studying towards their A-Level Stats. As is known, there aren't a lot of resources out there so ... #alevelmaths

23.02.2025 15:30 β€” πŸ‘ 42    πŸ” 23    πŸ’¬ 7    πŸ“Œ 3

@finlaymaths is following 20 prominent accounts