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Posts by Dan F

Are there any teachers of CBSE Class 10 Maths that are happy to chat about the course?
#cbse #class10maths

3 months ago 0 0 0 0
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Save My Exams WJEC GCSE Maths & Numeracy (Double Award): Higher Revision Notes 2025 Revision notes for the WJEC GCSE Maths & Numeracy (Double Award): Higher syllabus, written by the Maths experts at Save My Exams.

And notes for the new WJEC Double Award GCSE in Maths & Numeracy are now live too!

Great work by the maths team!

www.savemyexams.com/gcse/maths/w...

4 months ago 0 0 0 0
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Save My Exams SQA National 5 Maths Revision Notes 2023 Revision notes for the SQA National 5 Maths syllabus, written by the Maths experts at Save My Exams.

My team has just produced revision notes for Scotland's National 5 Maths course. It was a lot of fun to review these notes!

Applications of Maths notes will be published very soon too.

www.savemyexams.com/national-5/m...

4 months ago 0 0 0 0

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

5 months ago 0 0 0 0

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

6 months ago 0 0 0 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.

6 months ago 0 0 0 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.

6 months ago 0 0 0 1
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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.

7 months ago 1 0 0 0
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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...

7 months ago 0 0 1 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.

8 months ago 0 0 1 0

Ah interesting to know! Thanks.

8 months ago 1 0 0 0

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

8 months ago 0 0 2 0
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Does anybody else find the decimal points annoying on WJEC papers? They look like multiplication dot signs.

8 months ago 0 0 0 0

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

8 months ago 0 0 0 0
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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.

8 months ago 1 0 2 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

9 months ago 14 2 0 0

Or ban the ÷ symbol.

9 months ago 0 0 0 0
6 ÷ 2(1+3) is it 1 or 9

6 ÷ 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 6÷2(x+1)?
What about 6÷2x?

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

9 months ago 0 0 1 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.

9 months ago 42 9 6 0
P = {(x,y):⌊x⌋²+⌊y⌋² = 98}
Q = {(x,y):⌊x²⌋+⌊y²⌋ = 98}
R = {(x,y):⌊x²+y²⌋ = 98}

P = {(x,y):⌊x⌋²+⌊y⌋² = 98} Q = {(x,y):⌊x²⌋+⌊y²⌋ = 98} R = {(x,y):⌊x²+y²⌋ = 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

10 months ago 15 6 4 0
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The 2025 AP Statistics Exam scores:
5: 17%; 4: 21%; 3: 22%; 2: 16%; 1: 24%

10 months ago 10 1 3 0
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I taught A Level Accounting despite having no prior knowledge. It was a great fun challenge!

10 months ago 1 0 0 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?

10 months ago 0 0 1 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.

10 months ago 18 4 3 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

11 months ago 20 3 4 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.

11 months ago 32 9 0 0
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With a high degree of confidence, we can confirm new inference tests are now live! 🎉

🗒️ Learn more in the Desmos Help Center: help.desmos.com/hc/en-us/art...
#mathsky #iteachmath #statistics

11 months ago 37 14 3 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.

11 months ago 163 37 16 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

11 months ago 30 6 4 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

11 months ago 36 4 3 0
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