Imagine being such a good teacher that your students literally gasp and shout out in excitement at the insight you gift to them. Talk about inspiring. Mr Woo is a legend.
@annettebertora44342 жыл бұрын
AGREE !!!!!!!!!!🏅
@ItsThatMilkshake7 жыл бұрын
The moment a concept clicks in mathematics, is pure bliss.
@uchihamadara60247 жыл бұрын
ItsThatMilkshake I can't tell you how right you are. One of the reasons maths is my favourite class
@rmsvideos13357 жыл бұрын
Makes the week long struggle feel so worth it
@danialm.s7965 жыл бұрын
Eurekaaaa!
@apex_stealth_20184 жыл бұрын
I love seeing your name at the top of a comments section on a video my teacher sent
@F16-y4s3 жыл бұрын
nice name
@dannye19077 жыл бұрын
absolutely blew my mind, great explanation. I feel that understanding the logic behind what I'm learning really helps me grasp the concept, instead of just memorising rules
@Holobrine7 жыл бұрын
That understanding is the essence of math. Memorizing rules is just computation and calculation, and machines are better at that.
@dianneklang2 жыл бұрын
That is so true! Most minds can memorise but enquiring minds need to know why!
@AlgeArid3 жыл бұрын
The amount of sheer glee Eddie Woo derives by just showing them these concepts is infectious. It's incredible how much he loves the subject, and even more so that he can communicate and share where that love comes from with his students.
@chocolateangel87433 жыл бұрын
Eddie's a different kind of math teacher because he was a different math student (in comparison to traditional ones). Eddie, like a lot of people, grew up excelling at the humanities and social sciences but struggling with math. However, while he was in college, he met professors and such that helped him to shift the way he thought about math. Plus, he was able to figure out how he learned it. Unfortunately, most of us weren't that lucky. Kids today are lucky -- because they have access to a lot more resources and such.
@NotLegato8 жыл бұрын
the students are so excited to have it click. awesome.
@stevewatson23836 жыл бұрын
So, "completing the square" is about literally completing the square. I have never seen such an explanation ! Mind blown !
@sergiodongala2 жыл бұрын
Me too. I did not know why they call this way. I wish i had a teacher like him.
@jsgames68432 жыл бұрын
@@sergiodongala should be in your algebra textbook though
@ams205186 ай бұрын
That's why we start by teaching multiplication of two binomials with algebra tiles and the box method. It's so beautiful to see the conceptual diagram continues to work. But to hear this group get so excited about seeing the "why" behind the algorithm they know is awesome!
@crosbychang7 жыл бұрын
I'm 32 years old, and this is the first time I've ever seen the completing the square rule being shown geometrically! I learnt the rule in school and understood it in terms of the coordinates of the turning point of the parabola on a Cartesian plane. My mind was as blown as those kids in your class when I saw the rule visually represented!
@eugene1886 жыл бұрын
actually, if you look at some old books, they show it this way. Lots of work was done in ancient Persia with quadratics and completing the square with using area for farmland, thus the area model. I didn't learn the area model until I became a Math teacher.
@emant83964 жыл бұрын
@@eugene188 In that case! plz try teaching your students like this. They'd thank you for life.
@MichaelSmith-nc9iy6 жыл бұрын
Absolutely blew my mind! This is why I love math so much. A lot of people hate it because they think it's all just about numbers, but when you put tangible context to it, it becomes something entirely different and meaningful.
@jbrittsun8 жыл бұрын
Great video! Are these high school students? They seem very enthusiastic, excited, and engaged in learning math. I wish my community college students would get this excited about learning math…
@rafiashraf27697 жыл бұрын
Joshua Britt This is just like my maths class
@milly45437 жыл бұрын
These are high school students. This is just like my class was in HS. It's worth noting that maths is not compulsory in years 11 and 12 in NSW(Aus) so these kids chose the class and want to be there.
@lucyk23716 жыл бұрын
twistedblktrekie Think about how our generation was taught. Teachers today are basically in new territory and its a difficult thing. Also on the new scheduling some students will go as much as 9 months without having a math class. Also teachers are left with no extra time to review basics. You have to have very motivated students.
@roonstation71785 жыл бұрын
@@milly4543 It is sad that math is not compulsory in years 11 and 12 in Australia. Math is something that is so fundamentally important to developing a sense of logic, especially as an early adult. I think policy makers of the future should keep this in mind.... math is very useful, the most important thing you will ever learn.
@funkyflames74305 жыл бұрын
Roon Station You have to keep in mind that some people, even successful people won’t need trigonometry, calculus, complex numbers, or even geometry to get through most of life’s problems. In fact, math is entirely useless without being able to apply it. We always apply math in physics and economics (because what else is there other than physics and economics). Algebra is one of the most useful concepts there is and is easy to apply. Want to know how much wood you’re going to need for a month? Construct a function of demand. Now higher levels of math are almost always used in the stock market, physics, and other really complicated stuff, but only a small minority deal with this stuff.
@natalieeuley17347 жыл бұрын
This makes so much sense and it is so awesome. I wish I could just watch KZbin videos all day to learn instead of going to college
@MrWhateverthefukever5 жыл бұрын
i think you can...
@BonzaAndEinstien2 жыл бұрын
I actually cried at the kids gasping! I am a teacher (not maths) trying to home educate my autistic son. We are learning complete the square just now and this video made me quite emotional.
@sadiaaa13732 жыл бұрын
THIS is tge teacher i aspire to be if i ever really become one. Energetic, passionate, logical, and names my students gasp in excitement!! Im in grade 11 and my class is so dead. They hate math but next year, its not compulsory to take it so hopefully my class is a lot more happy and willing to learn. Its hard to feel motivated when the people around you hate that room so much
@geocarey7 жыл бұрын
I have gone my whole life hearing the expression 'completing the square', and never knew what it was about. What lousy maths teachers I had!
@saberseesall4 жыл бұрын
Mrs Brady has a lot to answer for.
@fredd2984 жыл бұрын
Maybe they did, maybe you weren't present.
@Z7youtube2 жыл бұрын
@@fredd298 and maybe not, like what most teachers do in my country, sad..
@dannyspeagle106 жыл бұрын
You are the most insightful teacher I have ever had the pleasure to watch. I have even caught myself watching you teach subject matter I thought I already knew, mostly because your approach is so uniquely eye-opening (and entertaining). And then BAMM! You hit me with an idea I never saw coming...like you did in this video (eg, completing the squares). I'm all smiles. Thanks.
@natashahinkson5605 жыл бұрын
This is absolutely brilliant for visual learners ! Thank you so much....this is fabulous for helping my son to understand. You are awesome.
@samiulhaque82386 жыл бұрын
You sir is the best teacher ever.. the students should consider themselves really really lucky to have a teacher like you
@43jm433 жыл бұрын
I love your charisma and expertise. I'm showing this video to my students since this made me get so excited about solving quadratic equations by completing the square.
@psoren423 Жыл бұрын
The best video and representation of the applied information I have seen on the subject. You have blessed me today, thank you Mr. Woo.
@CT-lu7kl2 жыл бұрын
I love the energy and enthusiasm with which concepts are made clear!
@JonathanJCrabtreePodometicMath5 жыл бұрын
Great video Eddie. This is from al-Khwarizmi, circa 820 AD. If he had understood Brahmagupta as well as Euclid he could have solved this problem with a circle to solve for both positive and negative solutions.
@aarush24745 жыл бұрын
Just two words........ Absolutely brilliant!
@suethe4e2 жыл бұрын
MINDBLOWN!!! I was literally screaming with the students as if I was in the class. Thanks for the explanation.🙌👍
@dianneklang2 жыл бұрын
Bloody brilliant!! What a fabulous and inspiring teacher!👏🏻👏🏻👏🏻
@thelastcipher91358 жыл бұрын
and majority of students are in debt while never even knowing these type of beauty in math. really sad!
@callous212 жыл бұрын
As I've dived into math on my own I've learned that we are taught things out of order so all the formulas we learn just seem like tricks rather than the obvious conclusion to something we were taught. We should've been taught the geometry of this formula before the algebra
@ahmedhazimimthiyaz18523 жыл бұрын
Wow, U are a very enthusiastic teacher. God bless Sir.
@cevatadilbezirgan53907 жыл бұрын
Omg that MathGasm I had was the most mind blowing one I've ever had :D
@kneebrain92982 жыл бұрын
the reactions of your students are so wholesome ❤
@RudolfKlusal8 жыл бұрын
It's trivial math, but I LOVE your method of teaching! You're awesome ;) ;) I wish I had this kind of teacher at my school :-(
@lukepoppleton31606 жыл бұрын
Rudolf Klusal I know it was a year ago lol but it’s not trivial mate, can be used to find the roots of the equation
@mkazntph3817 жыл бұрын
2:08 is the climax
@steffff4y6 жыл бұрын
2:20 second one
@pandemadeprajnapradipa4516 жыл бұрын
mathgasm, they came twice, he's definitely professional 👏👏👏👏👏
@000Responses6 жыл бұрын
Comparing maths to sex now are we?
@pandemadeprajnapradipa4516 жыл бұрын
yes, since they're mathing
@AsseelAlnuaimi2 жыл бұрын
I used the geometric representation in my credentials interview today!! I did it algebraic representation first and when the professor asked me where did the (b/2)^2 came from, I demonstrated it geometrically.
@elonyao3894 Жыл бұрын
Wow, that's what I am exactly looking for. the practical meaning of "completing the square". Thank you.
@legatoassassin89877 жыл бұрын
Just amazing. Thank you. 20years after failing my GCSE math I'm retaking.
@alittax2 жыл бұрын
Good luck!
@everydaymaths360 Жыл бұрын
Pure genius, man. May need to find another word to describe you soon.
@suchitpat9 ай бұрын
What a great Match Teacher, this is so enlightening.
@ACitizenOfOurWorld3 жыл бұрын
One of the finest teachers in the world!
@Mathephatics13 күн бұрын
We all know Eddie added in a stock "amazed classroom sound" They were really all sitting there with their heads rested in their hand waiting for the bell to go
@scriptfliper Жыл бұрын
Brilliant! Love the enthusiasm as well 😊
@padaii4 ай бұрын
The sound of students getting it is the most rewarding feeling ever.
@StLouisFilms4 жыл бұрын
THIS MAKES SO MUCH MORE SENSE THANK YOU EDDIE
@AmanKumarRocks6 жыл бұрын
Really impressive sir....I wish if every maths teacher could teach like you...
@christydillon84736 жыл бұрын
Pure genius. Everyone needs a math teacher like this.
@MandrewMakes6 жыл бұрын
If only I could get my students to get excited about learning like you have here.
@godchild7490 Жыл бұрын
WOW !!!! I'm going to point my daughter to your lessons !!!!
@whenthethebeansstrikeback67284 жыл бұрын
This man just made Algebra so much easier for me! *Give this man an award!*
@tahaali27327 ай бұрын
2:08 The beautiful lightbulb moment that every teacher loves to experience!
@budja15014 жыл бұрын
Both of the math teachers I've had this year were awesome- 1st dude was super chill and clearly and efficiently explained every concept to us. Miss that guy. Second teacher that I just got recently is enthusiastic and incredibly helpful. She makes sure we don't ever have any unanswered questions and clearly loves her job. Now I want this dude too. How much is a plane ticket to Australia? I'm gonna be completely honest- I hate math. it just isn't for me. I'm actually pretty good at math once I know the formulas (I mean duh, that's kinda how math and math classes work) but I don't get any joy from it. And yet somehow the teachers keep me thoroughly engaged. Pay these people more please
@Sean-jl7jl4 жыл бұрын
Didn't I see you in itf's videos lol
@satoshinakamoto72533 жыл бұрын
Do we always add to both sides..? sometimes we subtract.. when do we subtract on the right side?
@tanelkagan3 жыл бұрын
This is great stuff and the more ways we can explain things, the greater the likelihood that (a) we find at least one way that works for us and (b) those explanations can combine to deepen understanding. There does need to be caution of course in that geometrical proofs might not always tell us the *whole* story. We live in a physical world where the distance between two points is positive, and an area is positive, and negative distances and areas don't really make sense. So we can neatly see here, for example, that a solution is x = 3, because we make up the side length of (x + 5) = 8 and therefore get an area of 64. However, this might lead us to easily ignore or discard the other solution x = -13, because (-13 + 5) is -8, (-8)² is also 64, and therefore -13 is also a solution to the original equation. It might be possible to somehow geometrically represent that solution by working in terms of displacement and saying "well if we treat moving to the right as positive, and we move x units right, we can then move 13 units left, and do the same in the up/down direction, and construct some other square that might show the relationship, but to be honest, I haven't thought it through fully and to be honest, don't want to, because it seems like more work than is necessary. I'm taking nothing away from an excellent visualisation and if it gets you further than you would otherwise be, that's fantastic, I'm merely saying depending on level, one has to be mindful of the limitations of a particular explanation.
@RoystonChong Жыл бұрын
I agree with you. I'm no math genius but he is converting between 1D and 2D to his convenience which is kinda breaking the essence of it... I think its just a cool coincidence, geometrically speaking...
@ryanmuchenje78032 жыл бұрын
Simply the best..thank you!!
@cuongtang24296 жыл бұрын
Very nice. I will use that with my students this term when solving quadratic equations. Thanks.
@Anonymo6136 жыл бұрын
Dislikes are from the triangle people. Thank you for the visual Eddie. You're a great teacher.
@happyada5 ай бұрын
thank you for making maths interesting! keep going professor!!
@MiningWithStix2 жыл бұрын
it all suddenly made sense! thank you!!!
@infernal8517 жыл бұрын
I wish you were my teacher. No one make us learn this way or explained this way. When i see your videos, i feel my maths teachers were seriously dumb.
@ContentCreature247 жыл бұрын
very good teacher. thanks
@سيفاقسبوشمالالصّنهاجي6 жыл бұрын
simple and logic thanks from Algeria.
@funkyflames74305 жыл бұрын
So if I have a equation like x^3 + x^2=50 Could I complete the cube? I would multiply the x^2 term by 1/3 to break the block into three pieces to extend in three dimensions, then I would cube the value to complete the cube. Does this check out? Can this be applied towards higher dimensions of space?
@carultch8 ай бұрын
There is a cubic formula, and a quartic formula, but the quartic is the end of the line, when it comes to solving a general polynomial with only using arithmetic, powers, roots, and complex number math. Galois proved there is no general quintic, or anything beyond. Here's the perfect cube identity: (u+v)^3 = u^3 + 3*u^2*v + 3*u*v^2 + v^3 If we can get a cubic equation to look like this, then it can be a complete cube after all. It turns out we can do this form any cubic equation. Given any cubic equation: a*x^3 + b*x^2 + c*x + d = 0, we can preprocess it to reduce it to only two parameters. A trivial step is dividing every term by 1. A less-obvious step, is to shift the cubic horizontally, until the squared term disappears. The simplified form is called a monic depressed cubic. We can do this, by defining t such that x = t - b/(3*a). After substituting and expanding, we get t^3 + p*t + q = 0. The parameters p & q, will be combinations of the original coefficients. I'll leave it to you to derive their expressions. So now we have a monic/depressed cubic, and need to line it up with the perfect cube identity. Start by letting t = u+v. Then, factor out 3*u*v from the middle two terms: (u+v)^3 = u^3 + 3*u^2*v + 3*u*v^2 + v^3 (u+v)^3 = u^3 + 3*u*v*(u+v) + v^3 t^3 = u^3 + 3*u*v*t + v^3 Shuffle everything left: t^3 - 3*u*v*t - u^3 - v^3 = 0 Line up p & q, to match this equation: p = -3*u*v q = -u^3 - v^3 Solve top equation for u: u = -p/(3*v) Substitute: q = -(-p/(3*v))^3 - v^3 Multiply everything by v^3: q*v^3 = (p/3)^3 - v^6 Shuffle left: v^6 + q*v^3 - (p/3)^3 = 0 Let w = v^3, and it becomes a quadratic: w^2 + q*w - (p/3)^3 = 0 Solve for w: w = -q/2 +/- sqrt((p/3)^3 + (q/2)^2) The + sign becomes u^3, and the - sign becomes v^3. The two cube roots of each w, add together to find t. t = cbrt(-q/2 + sqrt((p/3)^3 + (q/2)^2)) + cbrt(-q/2 - sqrt((p/3)^3 + (q/2)^2)) We're interested in all 3 cube roots of both expressions. For positive discriminants (D = (p/3)^3 + (q/2)^2), the real cube roots add up to the real and distinct solution, and the complex cube roots add up to the complex solutions. For zero discriminant, the real cube roots add up to the real/distinct solution, and the complex cube roots will be two conjugate pairs that both add up to the same solution. For 3 real roots, all cube roots are non-real, and among them, there will be 3 conjugate pairs adding up to the real solutions. When complete, undo the shift to find x: x = t - b/(3*a)
@TheFhpapa4 жыл бұрын
Late night browsing on the tube; I studied math at a top tier university, I never knew why it was ever called completing the square. I never did bother to ask. Lol. BUT, I completely get it now. awesome. lol. Algebra is nice, and efficient, but this is pretty amazing. lol. Get this man to 100 mil subs!! The future depends on it. lol. make people like math again. Because it is beautiful
@noahjames94576 жыл бұрын
I will never forget this video! (:
@dessiecamp25274 жыл бұрын
Love the reactions!!
@joecornelius1857 Жыл бұрын
Awesome! Thank you!
@ryansirimanne30117 жыл бұрын
Beautiful
@satoshinakamoto72533 жыл бұрын
Do we always add to both sides..? sometimes we subtract.. when do we subtract on the right side?
@VictoriaCoria-d2q8 ай бұрын
he's like the teacher I never had
@antonbashkin67062 жыл бұрын
Brilliant! The reason we come to KZbin for maths!
@ChemistryWallah-KartarKumar Жыл бұрын
Oh man ! You rocked.
@marksmith17915 жыл бұрын
But how do you represent it geometrically when you have powers to the 3 or higher? Cubes and higher dimensions? Thanks.
@catocall7323 Жыл бұрын
How would you complete a square when you don't have a square?
@legendxt66883 жыл бұрын
mind blown!!!!!! if only the teacher we had actually explained it like this I wouldn't be searching the web for hours on how to do these problems. >_
@43jm433 жыл бұрын
Thank you
@haridoorga32956 жыл бұрын
This has saved my GCSE mock today in two hours
@GauravSingh-ex4rt4 жыл бұрын
I wish I had a teacher like him.
@youtubespectator6694 жыл бұрын
Eddie's 1 million subscriber video lead me here
@mikesammuel90726 ай бұрын
i wish i had this teacher as my maths teacher
@zulaihabasiran-zu-85603 жыл бұрын
Awesome Sir.
@nathanandsopa5 жыл бұрын
Eddy Woo is a math guru.. he's beautiful!
@vinceallenmeneses58833 жыл бұрын
Therefore X=3 bcoz 3+5=8 and if you square 8 it is equal to 64. This is a perfect video for a perfect square. 😊❤
@thedarkchocolate47002 жыл бұрын
The NCERT book has somewhat similar explanation. The only difference was the constant term in the rhs. Anyway great explanation sir!
@nicholaschang65676 жыл бұрын
Somebody nominate this guy for a Nobel prize
@youcef14513 жыл бұрын
how much you pay the kids for the enthusiasm
@emant83964 жыл бұрын
Woah that's some really good explanation bro! Doing great!
@basicwowgamer5 жыл бұрын
Question, how would you visualize this with a -b value? 🤔
@mika_edits9675 Жыл бұрын
i need this man as my teacher istg
@ereneloh832 жыл бұрын
oh my god! this is so cool!! Thanks for sharing this.
@KetikaSeru Жыл бұрын
He has been nominated for global top prize teacher
@SeegalMasterPlayz9 ай бұрын
This was also shown in Edexcel International GCSE Mathematics B
@joshuawalker82974 жыл бұрын
That's an amazing math teacher.
@patilott68634 жыл бұрын
Great this really helps a very thick, dyslexic person like myself LOL! But for some reason I have taken an interest in maths because its a challenge!
@JossinJax6 жыл бұрын
Eddie Woo is the man!
@deepakraja61556 жыл бұрын
You are the best one i ever had..
@devashishroy53566 жыл бұрын
Ohh, mann... Wish i got a teacher like him..... 😢😢😢😢😢
@existence.203 Жыл бұрын
I can relate to the euphoria the students are experienced because I experienced the same while the math unfolded ❤.
@BayuSanjaya7 жыл бұрын
I hope my son will have excitement like tour students. btw, +Eddie Woo I have 1 question, square root of 64 also applied to -8 right? so I think that equation have 2 answer.
@shookone84747 жыл бұрын
Bayu Sanjaya yes
@-james-83437 жыл бұрын
Bayu Sanjaya it's a quadratic, so yes.
@royler88486 жыл бұрын
if its just the sign of a square root,then you only take the positive answer if you take a square root to solve a quadratic then yea it is both 8 and negative 8
@jwhite9736 жыл бұрын
Boypig24 I get x=3 for the solution to the equation, not 8 or -8
@BayuSanjaya Жыл бұрын
@@jwhite973 x=3 if you take sqrt of 64 is 8. But x=-13 if you take sqrt of 64 is -8.
@urgirlleon7 жыл бұрын
I wish you were my maths teacher 😂😭
@emant83964 жыл бұрын
Don't we all? Lol
@tessennarainsamy58636 жыл бұрын
He just shows the beauty of mathematics.
@hoid80696 жыл бұрын
I think that if students were taught geometric explanations for things like completing the square and multiplying binomials they would understand the concepts much better.
@cleverclover7Ай бұрын
I had trouble understanding for a second why the right side of the equation should necessarily be a square as well, and then it dawned on me because the left side is and they are equal. Please be kind.
@1piece4737 жыл бұрын
Is it weird that I understood it better without the visualization?
@TheCactuar1247 жыл бұрын
Trust in Trust Whatever works for you!
@takebackthenight43906 жыл бұрын
It really depends on your learning style. For a visual learner like me, I find this video very easy to understand.
@ck00246 жыл бұрын
Yeah!
@silent_endeavours3 жыл бұрын
Ok thank goodness I’m not the only one😅but it’s a great vid,He’s so invested in teaching his class it’s inspiring ✨
@barkakontradrogamadapdapre9835 жыл бұрын
How to show using tiles in completing the square when a is not equal to zero?