2nd year mechanical engineering major... watching for fun, something about the videos are nice to binge watch.

Why didn't I have a teacher like you 50 years ago in school? Brilliant work Eddie!

That's the freaking right way to teach damn it! I wish my teachers are the same. Love ur lessons

What I like is that I've been out of school for... (counts on fingers...) 43 years now and I can follow Eddie Woo without feeling like I need to start watching his videos from the very first one just in order to understand what he's talking about. An exemplary teacher!

I’m not even in high school anymore and I still watch his videos sometimes 😂😂

You have been a lifesaver to at least one parent suddenly thrown into the deep end of trying to recall all this to assist a child trying to remote-learn during COVID-19 iso! Thank you!

If I become a teacher I want to have just as good examples as you. Good video

Me *Sees an Eddie woo video that doesn’t have a complicated title* Also me: It’s like I was made for this

Mr. Woo is a very gifted individual and teacher. Any of his students, present and former, who have gone on to college and taken higher level mathematics will realize what a remarkable and unique teacher he is. Incredible insight into explaining and communicating the essence, understanding and solution of the problems. Please appreciate this man and his enthusiasm and love of teaching. Thank you Mr. Woo for your teaching videos. They are engaging, educational and entertaining to watch and learn.

I think of the 1/2 (a+b) as the average of a and b, making a rectangle of equal area whose top/bottom length is that average and the vertical length as h.

For the Trapezium I looked at it like a rectangle constructed from b & h. Chopping it up into 3 sections, I was left with the middle of a*h and two ends that when added together create a rectangle of (b-a)*h. Now that a*h section, I put to the side momentarily as that is the actual area needed. As for the (b-a)*h, coming from the two rectangle sections made up of triangle pieces, they can be joined together in a fashion similar to the green portion of the Triangle example on the board. These are two triangles of equal heights, joined at the tip of their bases, thus 1/2 of a rectangle and as such, come to the formula for the section of ((b-a)*h)/2. Add this last portion of the formula to the earlier portion and you get (a*h) + (((b-a)*h)/2), a complete trapezium formula. After a bit of rearranging and Desmos testing, both this formula and the one shown give the same results.

5:50 you can hear a "meow", odd

Hello Eddie, i'm from Brazil and you are inspiring me to become a teacher. I'm finishing my master's degree and i hope to become as good as you! Thank you!!!

I can't find words to thank you enough, you're really a blessing!

Wow! Wonderful! I really loved how you made your class engaging by challenging your students. I remained hooked onto the video the entire time. Thank you so much for posting this.

Sir love you too much and I am from India you teach in easy language. That's why I like this video...

Student asks for formula Eddie Woo: Its more important to know where the formula comes from than what is it. (I can't recall what he egg-zact-ly said, but it was something like that)

I love the way you explain why you get to the formula. You might also add what seems obvious; that you just have a rectangle formula but as two of the sides are different, you have to use the average.

His video in the morning is a treat!!

I learned it by making another identical trapezoid, inverting it and making a parallelogram. Then the area of the parallelogram was (a+b)h. Divide by 2 to get the original trapezoid, therefore, (a+b)h/2.

Eddie: "More important than what the formula is, is where it comes from" Me: My life has been a lie.....

Subscribed squared!…wish all teachers were like you…many thanks

Your an AMAZING TEACHER!! IM SO JEALOUS YOUR NOT MY TEACHER AT SCHOOL BUT I CAN STILL LEARN FROM YOU ON KZfaq THANKS AND KEEP UP THE FABULOUS WORK

mate i’ve got a maths test tomorrow and this is a life saver for revision

Such great teaching ! Great way of explaining things!

you can also think of (a+b)/2 as the average width of the trapezium. since the “error” / deviation from this width cancels out between the top and bottom halves of the shape, the area is the same as that of a rectangle whose width is (a+b)/2 - or h(a+b)/2.

Thank you ... thank you very much man you have helped me a lot, I love logic but didn't understand what they taught in school and now with your videos I can just feel complete,so thank you very much

I am 31. I have never seen this that way - I want to re-learn math with your channel. I will keep going through as many videos as I can to be a good support for my child in math! Awesome logic :)

Great video, easy to understand, fully grabbed my attention.

That's a cute question at 11:33 . I love it when children get to understand the beauty of math. Math is everywhere. It's just the way it's being taught.

He never fails to teach something that’s actually interesting!!

FANTASTIC Teacher!

I never thought of that. Cool stuff.

Always explains everything well

bh + (h(b-a)/2) is also a formula you can use. Great video!

I always teach the area of trabizum like you. Math is a peace of cake.... Mr.Mustafa Math teacher

You can visualize that geometrically, if you draw a rectangle with Base = a+b and heigth = h/2 overlapping with the trapezium, and then show how the uper parts of the trapezium, fit into the long rectangle.

this helped a lot to connect formulas and such.

I immediately thought of a*h + (b-a)*h, essentially cut a rectangle out of the center and glued the two remaining pieces together into one triangle. This method is far simpler though, and I will echo everyone's sentiment about wishing I had you as a math teacher when I was a boy.

Great way to teach this lesson!! Nicejob

I wish I had a teacher like you!

I wish i could have interesting teacher like you in my school.

Great teacher

"more important than what the formula is, is where it comes from" 7:08. This is what was missing when I went to school.

Beautifully done! I tutor and am constantly trying to un-teach the tendency to memorise formulas... it's a losing game! Understanding the derivative nature of these formulas is SO much easier for students...

I wish i had a teacher like him in college!

Wow what an amazing teaching skills you are talented teacher keep it up

i understood that very easily, those students are very lucky to have you as they're teacher.

Im currently studying for my masters to become a teacher, your videos are so exciting to me

Thanks

One could say that the area formula for the square is still just base x height, but it just so happens base = height and thus reduces to s^2. Interestingly enough, the area of a square can also be calculated as 1/2(d^2), where d is the length of the diameter. But that DOES NOT work for all rectangles in general. (An easy way to see this is to imagine a 3 x 4 rectangle having area 12. The diagonal would be 5 forming two 3-4-5 triangles within the rectangle, but 1/2(d^2) would equal 12.5.)

Best Math teacher ever!

I love this dude.

Great video!!!!

thanks, it's really helpful

7:08 "more important than what the formula is, is where it comes from" 👍👍

Really good video

Beautiful explanation n concepts cleared 👏

please also do circle and other shapes

Thanks sir for your great information about maths . I am school student your maths videos helps me a lot for my maths and make me clear. keep doing your videos I will support you and share with my friends also. because youtube is not only for entertainment also for learning new things.

so cool how all of the formulas relate to eachother

Wonderful way of showing how all of the formulas are related. Well done sir.

I was teaching and came to this question where i needed to use area of trapezium, i didnt know it. So I used basic area sense which is base times hight, but there are two bases so I averaged them which is a+b over 2. That was a genius me feeling.

Someone is finally making math more interesting

i watch your videos to remind myself why i love maths

keep it up bro .. watching u from morroco :-)

Isn't it easier to interpret the formulas as the AVERAGE of the parallel sides multiplied by h. Because that's what (a+b)/2 in this case represents.

My suggestion: Produce each base to the right (or left) until they both measure a+b. Join the ends. Now you have a rhomboid that is twice the original trapezium. QED.

If you have such a great teacher then who needs a tution!!!!!!!🤩🤩

I wish i had u as my math teacher back in high school so that i wouldn't think and cry thinking i was am idiot!

thanks sir

awesome dude

Nice explanation 👌👍

Yeah, and the square is also just a base times height, it's just they're the same thing there!

but great job Eddie!!

At this point I need to you to come teach me in person! Thanks !

Wow wonderful resolution of eddie's beauifulness///

Separating the trapezoid into triangles to explain the area is a really good idea

I've got another approach: 1.- duplicate de given trapezium and rotate it by 180deg in the plane. 2.-move it until one of its laterall side becomes coincident with the analogous side of the first figure. So you get a parallelogram of area to be equal to double of the initial trapezium. Considering that any base of this last figure is the sum of each bases (a and b) its area would be a+b*h then the half of this is the area we are looking for. I think that drawing this process on a blackboard becomes easier to understand becouse is shorter and doesn't require to divide by triangles. hope to bu helpfull. thank you.

there are differents formulas of certain shapes u use

nice video! thanks for share! congrats!

Nice proof! I hadn't seen this one before.

7:08 EVERYONE MUST PAY ATTENTION TO THIS LINE! students need to be taught this

Take 2 trapeziums, flip one upside-down. You have a rectangle. Divide in half for trapezium

good video

I fell in love with math thanks to Eddie

i m 24 n i still watch him

Thanku 💓💓💓🔥

Very cool

How did height became same?

I have watched almost all his video

that's great.

How do you take area of triangle 1.

Dear sir, please add episoide numbers to all your videos , so that we can learn each and every episode.

Ah so it's h multiplied by the average of a and b... my intuition was right lol

Making learning at home so much easier

S(k+1)(k+1)=trapezium S- the smallest triangle in trapezium k - scale between the biggest triangle and the smallest because they are similar

The math teacher I wish I had.

GOOD TEACHA

In circus a trapez is those swings right? Is it because they always swing in that shape?