Math Teacher Shows TOP 10 MISTAKES students make 

Not gonna lie. As a dude in the 12th grade. These are the mistakes someone who just memorizes math, instead of understanding it, would do.

I don't think you realize how life changing this was, literally covered almost every misunderstandings of algebra that I ever had. Seriously dude, thank you.

There’s two type of reactions while watching this ** 10^10 levels of pain as you watch the mistake** “Oh, that’s how you do it”

I had physical pain watching the students solve.

I swear math is the worst taught subject in the world. Most of us never properly learned or weren't even taught some of these basic principles.

As an Indian and a weak student in maths I'm proud to say that I don't make 90% of these mistakes

I am in Grade 9. This video cleared all my doubts. Thanks for the help.

Being an Asian I can't relate to this video. I never made these mistakes

for the last tip you can remember that (a+b)^2 = a^2 + b^2 + 2ab, so you dont have to actually multiply it out every time

Hi! I'm a Math teacher from Brazil and my students make same mistakes here! Unbelievable 😮

Finishing up my math classes for my engineering degree- I was curious if I’d see any mistakes im not aware of but I’m comfy with all these and have definitely made pretty much all of these mistakes at one point. Makes me feel like I’ve learned it properly though!

I did some of these mistakes in my first year A-LEVEL mathmatics, I really had to do alot of practice to get rid of them, Thank God in my final highschool year I was so proficient and never did such mistakes. You really need alot of practice to master algebra.

THIS is truly valuable info!!!!! We need a big ‘ol problem worksheet (with solutions) to accompany the video, and I would pay money for that!!! Many thanks for this enjoyable and informative lesson!

Number seven. The moment that you said when that answer of two appeared, plug it back in to the original equation to check your work. Absolutely beautiful. I tutor in a high school, but sub mostly at the sophomore level. One of my obsessions is to teach them the skill of “check your work“. It is remarkable to me how many students don’t understand what that even means. So many have asked me, “what does that even mean, do I just do the problem a second time?“ when school starts in September, and I am in front of the class for the first time, I plan to go through your top 10 list. Probably for the whole block. Hopefully it will avoid the look of horror on my face a few months in.

I speak Spanish and a little English and I must say the truth that I understand mathematics more in another language than in my language, I don't know if this happens to anyone else, but I love the idea of learning and at the same time improving my way of understanding English in mathematics.

The way I explain Number 2 to students is that you can ONLY cancel terms that are multiplied to the entire numerator and entire denominator. In the numerator of your example, the 2 is only multiplied to the x, not the rest of the numerator, so you can't cancel it with anything in the denominator

brooo!!!??? whatt!?? only watched till the first mistake and my mind is already expanding in all directions smt crazy good thanks brother

I love the sound editing on this its so funny, also the way you were correcting and teaching was also clear and concise. The editing kept me entertain while watching

I am also a high school math teacher. Spot on!

As an inspiring math teacher, I approve this video. Great job explaining!

Thanks sir. Because of this video I have cleared many doubts regarding subtraction,multiplication, fraction and exponent

1. True 2. Its x² + y² + z² +2(xy + yz + zx) 3. 4 × 2^x 4. True 5. 1 + (x/y) 6. 17/4 7. Right 8. Cos(x-y) = cos x cos y + sin x sin y

I'm in seventh grade. And for the sixth one…… Damn bro how do students even think like that

I'm a math tutor in a community college, this is very spot on. Especially forgetting to divide all terms by the numerator, and literally anything with a fraction 😭

Great video! And agreed - binomials and trinomials are trouble!

I'm a math course student, and while we are a lot more advanced than this it helps to refresh the memory somewhat.

We need to change the way negatives and other operations are taught. Perhaps if negatives arent taught until multiplication is taught so that students can internalize that there is an implied operation when you have something like -2? That way you can teach it as (-)(2) = -2 So with exponents (-)(2)^3 = -2^3

This video is actually very important, thank you

8:25 I think this method is also useful. Although it might have its downsides. The method is: (a/b) + (c/d) = ( bc + ad / bd) The brackets here are just meant to make it easier to read.

that is a lot of work to do with fractions and might be a little hard to understand for school kids. in India our teachers don't say dividing on both sides for example: 3/x=6 our teachers say just send x to the other side and bring 6 to the left now we have 3/6 which is 1/2. lol doesn't explain how its done but it's easier this way if it makes sense ex2: -2x=8 just send the -2 to right it becomes x=8/-2 which is -4

As a middle schooler, our math teachers taught us how to stop making the mistakes, except mistake 4 because we haven't done functions yet

Thankyou ,this video was so helpful for me. 😊

Most useful video of all the maths videos out there

• Reference: 15:30 Here, with Error #2, I'd like to add a point: Mostly, when students see the square root function, they instinctively think of 2 solutions, +ve and -ve. But that isn't the case in some places. • Example Imagine the question √9 = ? Most students answer ±3, which is wrong. The answer is only +3. The square root function by itself denotes the absolute value only. But, there's a catch! Suppose the question is - If x² = 9, find x. Then x can assume 2 values +3, -3. The thing is, when we're just asked what the square root of a number is, then the answer is only the absolute value. However, when asked the square of what number can assume a given value, then the answer will be both ghe positive and the negative values of the square root.

To all Indian in comment section first if are watching this vedio by searching it you are 👑 but is you find it accidentally and feeling proud about not making mistakes like this just remember learning mistakes and studying failure gives us a big lesson as compaired to success and being infallible

10:30 i used another method to get this answer: 3/x = 6, that means that x/3 = 1/6, multiplying both sides by 3 we get the answer of x = 3/6 which can be shortened further to x = 1/2

I'm in grade 12 studying for my advanced final exam in maths constantly achieving about 90%. I needed no help, but I watched the video anyway, in order to understand the mistakes made by others, so I can help them.

Made me remember my 7th grade 😍… Love for Maths is immense…

That's awsome i have understood all the mistakes which i used to make and thats damn effective as in my school asking such doubts to teacher was thought to be a sign of weak student even though it was but WE LEARN FROM OUR MISTAKES ONLY that's why i am now able to do math properly and being confident in maths is a different kind of feelling bro!!!!!!! When u learn to understand it you would love it more than any other subject and that spirit inside me is beacuse of you THANKS A LOT!!❤😊😊

I think the last one we can simply say that it's open by (a+b)^2 formula which is (a+b)^2=a^2+2ab+b^2

thanks for help!

if you’re solving for x on the second one just set it equal to zero and do the reciprocal

It's a very nice video. I am a math major attending a local community college.

Wish there was youtube videos like these 10-15 yr ago 👍 good work. Its great to have people who are passionate about subjects and shows why math is important in life. Than having people who only teach it to get paid.

Wow, right off the bat, first example and I'm like wait what?!

In the last one you can do: (x+3)² X²+2*x*3+3² X²+6x+9

Awesome ❤

AMAZING CONTENT BRUV🍷🍷

I am from Mauritius and I did all these things in grade 9 .except for the log and sin part

4. u can deduce log(x+y) as log(x) multiplied by log(y)

Thanks to RU-vid for recommending this

hi Jensen, Great Job! kindly tell me the name of the white board or software you are using for writing and recording the video. Thanks

I'm in seventh grade taking AL 1 Honors, this video is very helpful

You have everything on this channel❤❤

If u r a jee aspirant 😂😂

So helpful as a sophomore❤ Thank you professor😅

Nice question it is very important for students.

I wish, my teacher were like you:)

Helpful ❤

Your impressions of the students are interesting

16:10 in ths situation we can also use (a+b)^2 = a^2+ b^2+ 2ab

As a highschool student I have never done them wrong and this is my achievement. Also got got the highest marks in exam

The worst thing is that my school teachers make a typo in the exams. So, you sometimes is confused whether that is an x or just a multiplication symbol or maybe he left the brackets by mistake. Cause the teacher always think that you have to understand the question what so ever since he taught you everything

0:57 so basically negative treatment as variable of the x value coefficient

True And Helpful❤

Last 2 were quadratic equations by Euler.

11:49 Just a question: I remember the usual sinoid formula, and it stated that in the part of (x-c) indicates the shifting of the graph to left or right. So, how is this possible when the c=y? ‘y’ is definitely a variable in a sinoid formula, so how should I interpret this? Edit: Or does the result just count as a number (a degree to be more specific)?

excellent 👏👏👏

In -2x=8 you can also simply multiply the equation by -1, then you have 2x=-8 and that equals -4 too

We can write the last problem as (x+3)²=x²+2.x.3+3²

I once did the last one on a competition and it haunts me to this day

8:37 teacher 2: bro forgor to make da fraction into da simplest form

These are the most basic level rookie mistakes that only a kid can manage to do. Please make a video on how yo deduce information out of a question. (Like in higher level integration, binomial theorem etc problems

I m in class 12 thanks for clearing my concepts and doubts😊

one is x/x+8 =1+x/8 . Can remember one dude making this mistake back in 11th grade . Rn he's is in BITS Pilani main campus.

Thank you, sir

"Make sure i simplify that" 😂😂

Thanks very much.... i am going to give class 10 boards.... but i still had confusions about these things

I only make the first mistake because of the x^2=… solutions because if I’m distracted I treat -n as whole x and forget it should have parentheses

On 7... it was 3(2to the power of x)=36 so i moved the 3 to be 2power x=12 but then the answer is log2(12)=x which my brain tells me is wrong cuz there is no way they would complicate x that much+i dont know what 3×(2 power log2(12)) is... but on the other hand again i need it to be 3(12) so i need the 2 to be 12 which isnt possible with normal numbers so log2(12) makes sense Edit: guess am correct but i was so ready to be wrong

Thank you ❤

Bro , am i the only one who misses those multiplication math worksheets we got in preschool, Math was fun back then 😢❤

I got panic attack by watching this. Respect to all math teachers who deal with these mistakes!!!

As a student i really appreciate your work also i need to confront my teacher about this

we find it hard really thanks for my timepass but seriously doing these mistakes are one of my skills

Thank you for everything

Im in my 2nd year of engineering and have made many of these mistakes while ive been in university

Isn't it better to simply move one term to the other side of thr equal sign? Eg: 3/x = 6 Move the x to the 6, => 3 =6x Then move the 6 to the 3 => 3/6 = x => x = 1/2

I'm an 8th grader and soon will be in 9th. The fact that I found out the mistakes in some of these is actually impressive as my teacher says im average. I don't think I hate math and much and I actually like doing math sometimes but I don't like measuring and memorizing formulas for those geometry chapters. I hate it. I like algebra.

I want to know though.... Why must multiplication be done first before addition? I know how to do it, but I dont know why I have to do it.

lol, this useful video, now I know functions of these operations.

How is an equation in which you have to use trig identies considered to be easier than an equation were you have to use a basic substitution? However, I might be biased by the curriculum I have to teach.

Hi! I'm from India and these are the most common mistakes we make

Thanks sir, these were not my mistakes only, they were my doubt

Brackets and integers r my weakness (after radicals)

thanks bro

Thanks sir❤

I will share this to my students

Holy cow, you saved me for my exams lol, tysm

In Germany we say "Aus Summen kürzen nur die dummen!"