Depends how much you make being a highschool math professor honestly. Guys who are this interested/good at equations tend to want a sunshine list salary, and who could blame them? They have a super in demand skill.
As someone looking to teach Maths, I think this is very powerful. He invokes a curiosity and doesn't shy away from recognising the higher complexity without losing focus. I thought mentioning quintics having no formula (via Galois theory) was a nice nod to put things in perspective.
When discussing the cubic formula, I think it's important to mention that the two cube root terms only differ in the minus sign in front of the square root inside. When you take that into account, the formula isn't as complex as it first appears.
@@emilyscloset2648 Very true. The real difficulty in using the cubic formula, even for depressed cubics, is that the formula often expresses real solutions using complex numbers, which is far too confusing for most students.
That's quite interesting. Back when I was in high school they were trying to figure out whether a quartic formula existed (or could exist). So either the field of mathematics moves really fast in two years, or my teacher wasn't THAT up to date with things.
My question isnt why but rather how someone came up with the formula. I understand how to use the formula, its very easy, but how did someone play with the logic until they came to the conclusion that x = +-b(b^2-4ac/2a ? Ive been playing with polynomials all day to try to find it myself but i cant wrap my head around it.
@chocolate7677 thank you sir, i did end up learning how to derive the quadratic formula. I gave in and just looked it up, blackpendragon has a great video about it.
If any power function is equal to 0, then that is called the x-intercept, where graphically the function crosses, or touching but never crossing the x-axis.
Sorry, you really didn't explain why. You told me - oh, I will teach polynomials, so linear is easy, quadratic is ok, but cubic is just too hard. You never explain why I care about polynomials like WWII or Hamlet. With 70+ years of experience, I can tell you that I have never used quadratic equations since I got out of school. I am sure that finding the axis of symmetry frequently comes up at BBQs and grandkids' soccer games - NOT!. SO ANSWER THE QUESTION - Why should I care?
czcams.com/video/cUzklzVXJwo/video.htmlsi=i_X5eNM0QQPkHMT2 The beginning of this video will explain it to you pretty well and give you a whole lot more information that will blow your mind
linear equations are straight lines and represent a basic linear relationship between 2 values(as one thing gets bigger, other gets proportianally bigger etc.). other relationships are not so simple and thats's where you get into quadratics/exponential functions etc. quadratics are curves. curves are used everywhere, physics, engineering, design, computer graphics, architecture, economics, statistics etc.
@@user-ky9qn4pg3w You are right. That's what the equations represent. What is not answered is how polynomials are like Hamlet. I am encouraged to study Hamlet not because it reveals politics in Denmark but for some apparently deeper reason. Yet, when I ask what deeper reason there is for studying polynomials, I am told it's because of what they describe, which is no deeper than the politics of Denmark.
He explains more of academically why quadratics made the cut of what to include in the curriculum, rather than why in terms of what applications they have.
And that’s because in this case, the students in his class have already chosen this stream of maths (eventually fulfilling AP Calc AB level in the US), so it’s not that useful as to explain the use of/application when he is talking about simply why they have to learn about it.
It's awesome because he cares enough to say WHY it's important, not just start teaching it without demonstrating the value.
I GOTTA LIKE THIS COMMENT
Exactly
Absolutely correct 👍
Why? Is the first question to be asked ...
Depends how much you make being a highschool math professor honestly. Guys who are this interested/good at equations tend to want a sunshine list salary, and who could blame them? They have a super in demand skill.
The teacher that every student needs.
As someone looking to teach Maths, I think this is very powerful.
He invokes a curiosity and doesn't shy away from recognising the higher complexity without losing focus.
I thought mentioning quintics having no formula (via Galois theory) was a nice nod to put things in perspective.
You are able to explain everything in the simplest form that anyone can understand. Absolutely amazing teacher!
When discussing the cubic formula, I think it's important to mention that the two cube root terms only differ in the minus sign in front of the square root inside. When you take that into account, the formula isn't as complex as it first appears.
And a depressed cubic even more so
@@emilyscloset2648 Very true. The real difficulty in using the cubic formula, even for depressed cubics, is that the formula often expresses real solutions using complex numbers, which is far too confusing for most students.
@@AchtungBaby77 I honestly think, they could be introduced a lot earlier in the concept of cordinates
@@AchtungBaby77 We don’t even learn complex numbers unless we take the highest difficulty of maths in Australia.
He gives all the answers that hits my mind.
Best teacher ever, this guys are really lucky, wish my teacher's were like this.
That's quite interesting. Back when I was in high school they were trying to figure out whether a quartic formula existed (or could exist). So either the field of mathematics moves really fast in two years, or my teacher wasn't THAT up to date with things.
Laffer Style yeah the quartic formula has been known for a few centuries now lol
Did you go to high school in 1520?
@@elementalneil7967 perhaps
Really helpful. MINDFUL Mr. Eddie
THIS IS WHAT WE NEED
Perfect teacher.
Wait those students are yr11??? When I was yr11 we where learning stupid scatter and box and whisker graphs!!!
Thank you, I couldn't find this video with the prompt "quadratic theory" but found it instead with the prompt "quadratic philosophy"
How do you derive the formula for quadratic, im thinking atleast 90% of studenrs dont know where they came from
Derive it via completion of square
@*Floofy shibe* Why are you speaking Arabic?
He covers that in another video, it’s very interesting and as Priya says above, it’s derived from the method for completing the square.
Show 'e' in some power!!! Challenge to greatest teacher LOL
Are the comments restricted?
I want a teacher like him
My question isnt why but rather how someone came up with the formula.
I understand how to use the formula, its very easy, but how did someone play with the logic until they came to the conclusion that x = +-b(b^2-4ac/2a ?
Ive been playing with polynomials all day to try to find it myself but i cant wrap my head around it.
complete the square of ax^2+bx+c=0.
@chocolate7677 thank you sir, i did end up learning how to derive the quadratic formula. I gave in and just looked it up, blackpendragon has a great video about it.
czcams.com/video/cUzklzVXJwo/video.htmlsi=i_X5eNM0QQPkHMT2
No too basic.. but a good teacher.. sure will have more interesting stuff on other topics.
Challange: only watch the first ten secounds and imagine he is talking about your life
You are awesome!!!
thanks eddie
i have a question if equation (quadratic linear etc) equal to zero what that means¿ 0 representing origin¿
If any power function is equal to 0, then that is called the x-intercept, where graphically the function crosses, or touching but never crossing the x-axis.
Eddie WOOOoooooo !
WWWOOOOOOWWWWW!!!!!!!!!!!!!!!!!!!! I love MATH :D
lol
I wish I had 'THIS' amazing teacher for mathematics.
Well there are many things which behave like parabulas, so it surely is important.
Awesome 😗😗😁
How old are these students?
year 11, so junior year/Class 11/Year 12 (UK/NZ).
wHy cant I have this teacher
Remember when we all still learning our times tables
Wow
Your lectures are like religious math
um im in year 8 and im learning this :/
What india lags
Yep
This made almost no sense to me.
He really doesn't explain anything about quadratic functions in this video.
Sorry, you really didn't explain why. You told me - oh, I will teach polynomials, so linear is easy, quadratic is ok, but cubic is just too hard. You never explain why I care about polynomials like WWII or Hamlet. With 70+ years of experience, I can tell you that I have never used quadratic equations since I got out of school. I am sure that finding the axis of symmetry frequently comes up at BBQs and grandkids' soccer games - NOT!. SO ANSWER THE QUESTION - Why should I care?
czcams.com/video/cUzklzVXJwo/video.htmlsi=i_X5eNM0QQPkHMT2
The beginning of this video will explain it to you pretty well and give you a whole lot more information that will blow your mind
linear equations are straight lines and represent a basic linear relationship between 2 values(as one thing gets bigger, other gets proportianally bigger etc.).
other relationships are not so simple and thats's where you get into quadratics/exponential functions etc. quadratics are curves. curves are used everywhere, physics, engineering, design, computer graphics, architecture, economics, statistics etc.
@@user-ky9qn4pg3w You are right. That's what the equations represent. What is not answered is how polynomials are like Hamlet. I am encouraged to study Hamlet not because it reveals politics in Denmark but for some apparently deeper reason. Yet, when I ask what deeper reason there is for studying polynomials, I am told it's because of what they describe, which is no deeper than the politics of Denmark.
utter FAIL - you did NOT explain why anybody should care, in any way, about Quadratics! Sheesh..
He explains more of academically why quadratics made the cut of what to include in the curriculum, rather than why in terms of what applications they have.
And that’s because in this case, the students in his class have already chosen this stream of maths (eventually fulfilling AP Calc AB level in the US), so it’s not that useful as to explain the use of/application when he is talking about simply why they have to learn about it.