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It's on the to-do list for the upcoming school holidays 🖖

Glad you found it helpful! ✅💥

What a great message to receive! Thank you and all the best for your journey! ✅💥

haha speak for yourself! ✅💥

@@TickBoom better than getting taxed 50% on all your money instead of only a bit of it ☕️

@@sovietcatunion good point well presented

no worries! ✅💥

Glad it helped! Yes I am of the generation that was taught when explicit teaching of grammar was abandoned, so who knows how many dubious misconceptions I suffer from 🧐

ysw! yes when a number in the form 2^n - 1 is prime, it is called a Mersenne prime ✅💥

This one here: tinyurl.com/3aphsfu7 It was basically a mock trial exam written by some old Math Olympiad competitors (I believe as a troll because it is way too hard) 🤷‍♂

worded problems ... everybody's favourite 🙃 ... I'm interested to know how you would word it to make it clearer? 🧐

"Income tax payable" should be "the tax on his income" imo.

@@jigglypig yes I see what you’re saying. The words used in the question should match the words used in the table. Very fair.

Can I check, do you mean that if both p is prime and p^2 + 2 is prime then p^3 + 2 will also be prime? (I think p itself must also be prime for this to be true?)

@@TickBoomyes p must be a prime number, im writing and researching a lot for that but im struggling , this with a mathematical proof

No worries!

😂

Thank you! 🫶🏻

Thanks so much! Appreciate the positive vibes 🫶🏻

Amazing! Congratulations! ✅💥

Hi there, if you let the unknown value be x, then we know that x / 32 = 6 since Sarah divided the number by 32 and got 6. This means that x = 192 (since 192 / 32 = 6). Now that we know the starting number, we can multiply it by 32 as originally intended and get 6144. I hope that helps! ✅💥

Thank you!!@@TickBoom I wasn't doing the next step, ahh I had to multiply 192 x 32= 6144. Legend, and I really appreciate the LANTITE videos. You gave some great tips. 😃

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Nice one! This was actually a question for my Year 9 class (albeit from the Year 10 textbook).

18 Feb 2024

Thanks for sharing! You'll have to forgive my ignorance, but when I tried these steps, I wasn't quite sure how I could then re-arrange everything to get to required result that we are trying to prove. I end up with: |ax + by| <= (a^2 + b^2 + x^2 + y^2) / 2 ... but how do you then get to |ax + by| <= 1?

Thanks for the feedback! You'll be happy to know I now have a paid version of Spotify, so if I ever do this again, it would be ad free 🤑

Thank you! You may find the other videos on my channel (which covers the stuff I am teaching my junior classes) helpful as a refresher. The LANTITE seems like it really doesn't go too far beyond the equivalent of year 9 math.

OMG you are totally right! There I go again, making things harder than they have to be 😅😅😅 ... Nice pick up!

Or I just assume that is what induction means 😅

Hey thanks for your question. It’s one I’m probably sure many others have wondered. I think if you use 2p+1 for your definition of an odd number, you may be able to show that n^2 - 1 is divisible by 4, but not by 8 (as the question requires) … try inserting n = 2p + 1 into n^2 - 1 and see what you get …

So glad to hear you found this useful for your question!! Thanks for sharing ✅💥

Happy to help! ✅💥

Thanks for the intel! 🖖

🥳🥳 Congrats!!

Wow a fellow time tracker! Ummm I wasn't planning on uploading it. But I could go and sanitise it into somewhat of a "template" if you like? TBH I didn't create the spreadsheet with other users in mind, so it's kind of complicated 😅 ... but if you're handy with Excel then you could probably get your head around how it's working ✅💥

I'd definitely like to take a look at how you've set it up and tinker with it to use myself, if you don't mind uploading an empty 'template' kinda file @@TickBoom

Hi @@shoyusha , I've uploaded a blanked out version to my OneDrive which you should be able to access here: tinyurl.com/24x6t4xd I should re-emphasise that as I didn't build this spreadsheet with other users in mind, I didn't make any conscious effort to make the formulas as simple (and easy to follow) as perhaps they could have been. I wish you all the best deciphering what I was thinking 😅

@@TickBoom So glad someone already asked for this!

@@TickBoom I have quite a bit of experience disentangling excel spreadsheets and re-entangling them for my own purposes :D I was in neuroscience research, starting a master of teaching this year. Anyway thank you very much for the upload, I'm looking at it now. Cheers!

Mr Zhang! I'm a big fan of your work. Haha I didn't realise you were covering me for my graduation day! What a funny coincidence! 😆

@@TickBoom QLD Anglican School Commission pays 100 dollars an hour t o relief teachers. It is ridiculous, your corporate experience isn't considered for salary incremental purpose. QLD all education employers take work experience prior to teaching into consideration. You definitely enjoy engaging with teenagers despite of losing a significant portion of your pay.

It seems they changed their mind. Have a look, mid-career and experience recognition from non-teaching. education.nsw.gov.au/inside-the-department/human-resources/learning/mid-careers-transition-to-teaching-program/permanent-appointment/salary-determination

Thanks! Out of everything in that video, I am most proud of the memes 😅😂🤣

haha very well put! ... I couldn't recommend enough adding time tracking to your life. If nothing else, it's a great productivity life hack ... Here's the link to the app I use: www.hoursforteams.com/

So glad to hear this has helped Katie! Best of luck for your exams! 🤞🤞 ✅💥

Yes! That’s the essence of part b). All the other stuff I spoke about was just prepping for the later parts … in hindsight I could have just talked about that stuff in those later parts 😅

Wow that's so nice to hear, thanks for sharing! ✅💥

Indeed! Is it not sufficient to simply find one counter-example? ... 11 is prime but 2^11 - 1 = 2,047 is not prime (since 23 x 89 = 2,047). I think this is sufficient to show that the logic does not work in reverse, right?

@@TickBoom Yep. That's exactly right. That's what he said more or less in his proof writing book. By the way, for large numbers like 2,047 how do you find its factors assuming the number is not prime?

Hey@@StaticBlaster I just used Microsoft Excel. Excel is my happy place 🤓

@@TickBoom cool. I need to explore Excel and master that piece of software backwards and forwards.

Yes perhaps this is a good example of how an Advanced vs a Standard student might tackle the question differently, based on the different things they've been taught ... 🤔

You're very welcome 😊

Believe it! 🤣

Hi there, that's a great question! I suspect for this one I knew that the sum of α and β would be -1/2 from the prior attempt at this question, so I kind of already knew they would come out quite clean. In general I suppose it never hurts to just throw it into the calculator and see what you get. If it's not a nice clean number, then I would say you could just leave it un-simplified.

Amazing, congratulations on your achievement! Very happy to hear that you found my video helpful ✅💥

Thank you! I've had making more of these on the to-do list for a long time now! But full-time teaching is proving to be a very busy endeavour! Maybe this summer holidays I'll find some time 😶‍🌫

Me, too!!

@@aryanbadgujar7116 he is liar, send me first

Hi there, I may be misunderstanding your question, but to prove your statement, is it not enough to simply find one example? e.g. for n=7, 2^7-1 = 127, which is prime ... other examples for n>5 are n=13, n=17, n=19, n=31, and so on .... (I just made a spreadsheet, there's many more ...)