0:36 So kids, do you want to have lunch or more maths? *everyone stays planted in seats* You're a very very special talent Mr Woo, thanks so much for these videos.
lunch is mandatory to go to, however, the whole school does not go to lunch at the same time. there are multiple lunch sessions and only certain classes/areas of the school go at a time. im not sure if this is how it works in other places of the world, but this is how it works in america, at least where i went. i dont think Mr Woo is asking the students if they need to go to lunch (they either have already went or are going to go), i think hes literally asking them if they have something to do.
@@ClassicMist360 thanks for the treatise on lunch and it's meaning to you, but I really do think he was saying "do you want to go to lunch" as in, right then, or did they wanna finish this concept... I think that because it's what he said. That was the focus of my comment, I admire that he engaged his students to the point they wanted to hear the ideas. The comments on lunch, or on local UK teaching regulators, are cool and all, but a bit off-topic.
@@jimmytumbles9640 if that was the focus of your comment you should have articulated it as such. you could have just as simply said "So kids, do you want leave or learn more maths?" without making an inaccurate statement. you think what you think because you interpreted what he said incorrectly. mr woo is a great teacher and i also greatly appreciate his desire to explain concepts and captivate students, but youre being a bit ridiculous. nobody is going to skip lunch and possibly starve themselves or not get to eat all their food to finish one math concept because he happens to be a good teacher. also you posted your comment on a public interface. you therefore accept that people will talk about almost anything that is protected under the laws of the land (wherever you may be in accordance with youtube's policies as well). you also dont need to be condescending or sarcastic. its unnecessary
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
I have used these formulas, but I don't think I was ever shown what they meant like this. Man, I am not good at remembering formulas, but with a little thinking, I will never forget these now. Thank you for putting all your videos up! I'm not a teacher, but you make me want to be a good one!
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 The visual representation of an algebraic formula is not an invention by someone. It IS algebra. So Mr. Woo does not have to credit anyone.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 The visual representation of an algebraic formula is not an invention by someone. It IS algebra. So Mr. Woo does not have to credit anyone.
Taking alg 2 and geometry this year and this answered my long confusion of how (a-b)^2 could become that long weird formula. Just accepted it because it could get me back to where it started. Seeing the process of how it could be is great. Things they should teach in school
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
I was thinking of another way. (a-b)(a+b) = (a-b)a+(a-b)b = (the upper big rectangle + the lower small rectangle) of the paper I feel like it would be easier to understand and there would be no need to cut the paper.
You are kind of right. But there is a point that this version in the video is alot more visual and requires less math knowledge. So, actually the lecturer’s way is simpler and easier to learn.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 The visual representation of an algebraic formula is not an invention by someone. It IS algebra. So Mr. Woo does not have to credit anyone.
You know you're dealing with an awesome teacher when the bell rings, the teacher says "feel free to leave if you wish", and the students choose to stay.
I love Eddie Woo because he teaches like my father taught me and how I try to teach maths. I always wanted to know WHY... no maths teachers could be bothered (or were able) to answer, except for my Dad, but he wasn’t home much because of work. Taught myself a great deal from a book as a result. No wootube or youtube in 1977!! I feel like I’m discovering maths properly at last and I’m in my 50s. Thanks Mr Woo! 💜
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 this method of visualizing a^2 - b^2 has been around for a long, long time. Mathsmart did not invent this. In fact, I highly doubt this visualization can be appropriately attributed to one single person.
I'm an increaingly old man trying to make up for a misspent adolesence. Huge thanks for the opportunity to attend maths class again... I'm paying attention this time.
Hi I have this problem, I want to find a²+b² Where a is bigger and b is small square, So when i try to find their area and sum them up i don't get the result same as the formula of a²+b².
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Ta-da Damn. So that's how that works. I knew it works but I never thought about how it happens. I thought you would have said that it was something like a - b + b + b = a + b but the way you showed it is far less confusing.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
That would be a big square plus a little square. There's no easy way of breaking up the big square, adding the small square, and rearranging to form a rectangle, which consistent with the fact that a²+b² can't be factored.
Now that i think about it... there's some interesting geometry we can do where the amount we need to add to the sides of the smaller square to make the total is exactly c-b, where c is the hypotenuse of a right triangle with sides a and b.
Look at the 1st/left-most diagram. Note a^2+b^2 = (a^2+2ab+b^2)-2ab = (a+b)^2-2ab. This is interpreted geometrically as the area of the encompassing square, where each side = (a+b), thus has area = (a+b)(a+b) = (a+b)^2. Now, remove/subtract the 2 rectangles, each of area = ab and you will be left with the major square which has area = a^2 and the minor square which has area = b^2, thus summing to area = a^2+b^2. Hope this is clear.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@AndewMole invented or discovered? Also I believe mathssmart was the one to discover (of course the first one to reveal something is the one to discover it)
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar. I think Mr woo is using that method of representation without even crediting the RUclips channel.
0:36
So kids, do you want to have lunch or more maths? *everyone stays planted in seats*
You're a very very special talent Mr Woo, thanks so much for these videos.
James Kavanagh it’s great isn’t it! In the UK you’d get annihilated by Ofsted for not planning the timings of your lesson properly!
@@LottieBronte I'm pretty sure it's perfectly fine in the UK if it's voluntary of the students to stay
lunch is mandatory to go to, however, the whole school does not go to lunch at the same time. there are multiple lunch sessions and only certain classes/areas of the school go at a time. im not sure if this is how it works in other places of the world, but this is how it works in america, at least where i went.
i dont think Mr Woo is asking the students if they need to go to lunch (they either have already went or are going to go), i think hes literally asking them if they have something to do.
@@ClassicMist360 thanks for the treatise on lunch and it's meaning to you, but I really do think he was saying "do you want to go to lunch" as in, right then, or did they wanna finish this concept... I think that because it's what he said.
That was the focus of my comment, I admire that he engaged his students to the point they wanted to hear the ideas.
The comments on lunch, or on local UK teaching regulators, are cool and all, but a bit off-topic.
@@jimmytumbles9640 if that was the focus of your comment you should have articulated it as such. you could have just as simply said "So kids, do you want leave or learn more maths?" without making an inaccurate statement.
you think what you think because you interpreted what he said incorrectly.
mr woo is a great teacher and i also greatly appreciate his desire to explain concepts and captivate students, but youre being a bit ridiculous. nobody is going to skip lunch and possibly starve themselves or not get to eat all their food to finish one math concept because he happens to be a good teacher.
also you posted your comment on a public interface. you therefore accept that people will talk about almost anything that is protected under the laws of the land (wherever you may be in accordance with youtube's policies as well).
you also dont need to be condescending or sarcastic. its unnecessary
RUclips should have 'love' buttons, especially for videos like yours
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
I have used these formulas, but I don't think I was ever shown what they meant like this. Man, I am not good at remembering formulas, but with a little thinking, I will never forget these now. Thank you for putting all your videos up! I'm not a teacher, but you make me want to be a good one!
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 I'm sure if Pythagoras had a RUclips channel he'd say the same thing about both these creators.
@@adamonline45 ?
@@aashutoshkashyap1886 why should he, its knowledge sharing, not creation or anything, the Indian dont create these knowledge
@@aashutoshkashyap1886 The visual representation of an algebraic formula is not an invention by someone. It IS algebra. So Mr. Woo does not have to credit anyone.
Always inspiring me to be a better maths teacher. Thanks for sharing this!
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 The visual representation of an algebraic formula is not an invention by someone. It IS algebra. So Mr. Woo does not have to credit anyone.
@@aashutoshkashyap1886 it’s not an invention lol anyone could have came up with this proof
Taking alg 2 and geometry this year and this answered my long confusion of how (a-b)^2 could become that long weird formula. Just accepted it because it could get me back to where it started. Seeing the process of how it could be is great. Things they should teach in school
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 dude everyone uses other people's results
Maybe mathssmart got it from someone else lol
tysmm, i've learnt these before but never thought about the visual proof
I just wanna say, I already have my bachelor's degree in applied math yet I still learned multiple new things from this lol
I was thinking of another way.
(a-b)(a+b) = (a-b)a+(a-b)b = (the upper big rectangle + the lower small rectangle) of the paper
I feel like it would be easier to understand and there would be no need to cut the paper.
I think you're right
You are kind of right. But there is a point that this version in the video is alot more visual and requires less math knowledge. So, actually the lecturer’s way is simpler and easier to learn.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 The visual representation of an algebraic formula is not an invention by someone. It IS algebra. So Mr. Woo does not have to credit anyone.
You know you're dealing with an awesome teacher when the bell rings, the teacher says "feel free to leave if you wish", and the students choose to stay.
I love Eddie Woo because he teaches like my father taught me and how I try to teach maths. I always wanted to know WHY... no maths teachers could be bothered (or were able) to answer, except for my Dad, but he wasn’t home much because of work. Taught myself a great deal from a book as a result. No wootube or youtube in 1977!! I feel like I’m discovering maths properly at last and I’m in my 50s. Thanks Mr Woo! 💜
youre the perfect teacher sir that any sincere students would like. 😉
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
This teacher is amazing. I wish I had been taught like this -- I've never been able to visualize math before this!
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 this method of visualizing a^2 - b^2 has been around for a long, long time. Mathsmart did not invent this. In fact, I highly doubt this visualization can be appropriately attributed to one single person.
Brilliant! Thanks!
I'm an increaingly old man trying to make up for a misspent adolesence. Huge thanks for the opportunity to attend maths class again... I'm paying attention this time.
Very nice way to illustrate the equations. We need more math teachers like him.
Hi I have this problem,
I want to find a²+b²
Where a is bigger and b is small square,
So when i try to find their area and sum them up i don't get the result same as the formula of a²+b².
i still remember how tuff it was when Teacher used to make sit even after the class gets over ..eddi 🤟
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
Indian Prime Minster (Modi ) needs to watch this..
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 Geometry has been around for a lot longer than 3 years. I'm not sure if your reply is meant to be serious.
He is surely the best teacher i have ever seen.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
To proof a²-b² = (a-b)(a+b)
a²-b²-ab+ab
a(a-b)+b(a-b)
(a-b)(a+b)
Hence proof 😀
you used the statement at the beginning of your 'proof' you mong
Nice!!!
Epic
Ta-da
Damn. So that's how that works. I knew it works but I never thought about how it happens.
I thought you would have said that it was something like a - b + b + b = a + b but the way you showed it is far less confusing.
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
lmao school bell goes brrrrr
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
your good
Awesome video sir. .I just love mathematics and the way you teach it's awesome....huge respect sir
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
Very nice Eddie. Thanks again!
Always great Eddie. Thanks so much!
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
wow I never thought about it like this, but it makes so much sense!
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
WOOOOOOAH
amazing
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
keep camera close plz
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
What about a²+b²
Can you please explain in geometrical way
That would be a big square plus a little square. There's no easy way of breaking up the big square, adding the small square, and rearranging to form a rectangle, which consistent with the fact that a²+b² can't be factored.
Now that i think about it... there's some interesting geometry we can do where the amount we need to add to the sides of the smaller square to make the total is exactly c-b, where c is the hypotenuse of a right triangle with sides a and b.
Look at the 1st/left-most diagram. Note a^2+b^2 = (a^2+2ab+b^2)-2ab = (a+b)^2-2ab. This is interpreted geometrically as the area of the encompassing square, where each side = (a+b), thus has area = (a+b)(a+b) = (a+b)^2. Now, remove/subtract the 2 rectangles, each of area = ab and you will be left with the major square which has area = a^2 and the minor square which has area = b^2, thus summing to area = a^2+b^2. Hope this is clear.
0:36 😃
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.
@@aashutoshkashyap1886 I believe it is an extremely well known visual representation invented by neither nr woo nor mathssmart
@@AndewMole invented or discovered?
Also I believe mathssmart was the one to discover (of course the first one to reveal something is the one to discover it)
Don't touch your face!! (2020)
Don't take me wrong. But i think visual representation of (a-b)² and a²- b² was already uploaded by an Indian RUclipsr mathssmart 3 years earlier than his video and their method representation are quite similar.
I think Mr woo is using that method of representation without even crediting the RUclips channel.