Completing the Square & Turning Points (Higher Only) | GCSE Maths Tutor

[@muhammadkarolia2722]

you are the reason I will pass my GCSE

[@arsenicrx684]

@Hana we havent done them yet

[@arsenicrx684]

@Hana it could be at the begging of they year maybe

[@arsenicrx684]

u doing ur gcse this year ?

[@turtl1873]

@@arsenicrx684 good luck for tomorrow !

[@arsenicrx684]

@@turtl1873 thx gl to u to

[@deborah9924]

this man is the only reason why im not failing maths thank you so much , i am sitting my exams next month and i pray for a grade 7

[@Synces6969]

same lmao 2 weeks left got me spam watching these videos

[@yejihour1281]

​@@Synces6969tomorrow 😭

[@Ben-tw1nq]

good luck bro

[@kaveri9930]

@@yejihour1281 5am morning of the exam and i j found this channel cba

[@Rhobeni]

One hour from now 😭

[@jasonchen3514]

You are the reason I passed my GCSEs, and you will be the reason that I passed my A-Levels

[@Airbladev2]

Hey, TGMT I just wanted to let you know your videos are really amazing and helpful for GCSE students trying to revise for upcoming exams, I have my Math IGCSE in January (almost 2 months away) and i'm using your videos as a way to revise previous topics and it's always been helpful and always works. Thank you sir for providing these videos. :)

[@TheGCSEMathsTutor]

That’s amazing! Thank you so much for the kind words I’m so glad my channel is useful for your exam preparations! Please do let me know how you get on 😁🙏🏼

[@diego.noriegaa]

how was it? my first exam is the 26th of April AAAA, I'm freaking out man .

[@Airbladev2]

@@diego.noriegaa I got a 7 man 😂 was expecting like 3 or 4 ngl cause the paper was harder than I anticipated

[@birdie7344]

@@Airbladev2 is it true that edexcel igcse jan papers are harder than june papers (for all subjects)? or just a myth?

[@Airbladev2]

@@birdie7344 nah, Jan papers are usually easier in most cases but I could be wrong >:)

[@yaz5011]

Last year I would use just old revision text books to revise and got a 3, with your videos i managed to get a grade 7 and hope for an 8 maybe in my actual ones. Thank you so much for your effort and clear explaination. Only Maths KZbinr i can watch. 😂 🙌🏻

[@TheGCSEMathsTutor]

Wow that’s amazing news, you can do it!!! So glad you are enjoying them! Let me know how you get on 😁🙏🏼

[@adzyt9185]

How did you get a grade 7 please help as im currently on the same grade 3 and doing higher

[@yaz5011]

@@adzyt9185 What I would do is print out your specification (edexcel or aqa.. etc) and make sure its the updated version for 2022 as they tell us whats gonna be on our assessment. I would definitely go through this guy’s videos and highlight the topics on the specification as you go on. Once you have highlighted all of it go on to maths genie and do all the past papers. And keep doing that until the summer exams. I highly recommend this as gcse maths papers each year are basically the same question just with different numbers and worded differently. If i can get from a 3 to a 7 im sure you can. Good Luck!!

[@el1mz930]

Dude that's amazing! Well done for finding the motivation to improve, that's a tremendous improvement!

[@yaz5011]

@@TheGCSEMathsTutor I finished maths offically today and would just like to say a massive thanks for helping me through maths. Me and maths weren’t always on the same boat but I have been watching you since the summer 2021 and I must say I do see maths in a different light. Thank you for getting me to where I am and although I will not be taking maths in A-level it was an enjoyable ride to say the least, wish all the best and once again thank you for not just saving me but for saving so many year 11 students nationally!!

[@djdude5184]

Thank you so much, I am a grade 9 student in maths, yet I still couldn't get turning point questions around my head. However, with your clear explanation, you helped me understand everything with ease. Thanks a lot for this

[@samuellacobbinah]

Any tips please

[@oliviaillidge7575]

Thank you so much for these videos, I have always struggled with maths but your videos have given me so much confidence. I always used to say that I " hate maths " but now it is one of my favourite subjects, Thank you !

[@caslovss]

aiming for a grade 9 in my gcses and your videos have been helping me improve so much !!

[@birdie7344]

what did u get?

[@butterfly1167]

Same! I'm going to get that 9 nothing is in my way

[@digitalcartoonsfm]

Thank you, this makes starting revision a lot easier

[@TheGCSEMathsTutor]

So glad to hear that! Glad it’s helping 😁🙏🏽

[@muhammedowais]

this is my revision 😂

[@shamiyahm9552]

U are literally so helpful thanx so much

[@TheGCSEMathsTutor]

Blue Koala Glad to hear 😁 my pleasure!

[@May-gr8bp]

these questions are helping me revise I have mock exams next week and you're helping me do well

[@q1ta]

thank you so much for this!! I always got confused the way my teacher explained it, but you managed to clear it up for me! tysm once again

[@TheGCSEMathsTutor]

Amazing news I’m so glad to hear it helped! 😁🙏🏼

[@vascobishop3359]

Beautifully taught. You cant go wrong with this teacher.

[@SanjanaPrathi]

I know its a bit late but how did you get +3 3/4 when wanting to get to 6? It's the question you were doing at 7:05.

[@antking4505]

He literally explains it slowly for you wdym he doesn’t explain it -3/2 squared gives 2 and a quarter and you need 3 and 3/4 to total to get to 6

[@sakadagoat2864]

I have my maths mock tomorrow, you will be the reason i pass

[@TheGCSEMathsTutor]

Hope it went well! Let me know how it goes 😁🙏🏼

[@sakadagoat2864]

@@TheGCSEMathsTutor first one went well got another one next week Monday which is the calculator one so should be easier than the one yesterday

[@carly6192]

Thank you so much this was really helpful for my higher revision!

[@voodoocurry2762]

This is so much more helpful.better than my teacher

[@tawhidrahman9910]

What if the coefficent of x squared is 3 or 4. Would i have to divide everything by 3 or 4 and then complete the square.

[@radhamodi1693]

this helps so much thank you

[@TheGCSEMathsTutor]

So glad to hear it 😁🙏🏼🙏🏼

[@fizzah4619]

can you please make a video on factorisng AND solving quadrarics in all the ways ie the formula ,

[@TheGCSEMathsTutor]

Factorising: kzbin.info/www/bejne/r3q2mYatnMprmNk Factorising Quadratics: kzbin.info/www/bejne/eYHdiK2iaLpofck Factorising Harder Quadratics: kzbin.info/www/bejne/enbSlpx8ibR3d7c Quadratic Formula: kzbin.info/www/bejne/raTVq4uDndFnqKs

[@hk959]

Could you please explain at 11:13 why we need to take away 1/4 rather than 2 1/4

[@seducedol7269]

because we only need the number two, so taking away 1/4 from 2 and 1/4 would leave us with 2 by itself

[@jjskaur2052]

This video was amazing i nrver thought i could do this topic! Thank you GCSE math tutor 😊

[@DecryptGamer]

Can you write the coordinates as (2.5, -4.5) at 10:00 ?

[@TheGCSEMathsTutor]

Soloboi Absolutely!! 😁🙏🏼

[@claraishungry501]

8:17 can I just divide the entire equatio by 2?

[@salmaanyunos6419]

What happens when the coefficient of x2 cannot be facotirised with the constant?

[@TheGCSEMathsTutor]

Then the other numbers becomes fractions/decimals and it gets very complicated! 😰

[@AH91021]

Can u pls upload November 2019 paper 2 and 3 for edexcel higher 🙏🙏

[@TheGCSEMathsTutor]

Araf Hassan I have only had time for paper 1 so far, but they will be up soon: kzbin.info/www/bejne/qWapo6lse8mYhpo

[@sbonganzimande6500]

THANK YOU SO MUCH, this was so helpful

[@sukiestar8401]

I understand how to do this now! I was off school when my class learnt this and so I was behind, and now I'm ahead 😎 thank you so much

[@TheGCSEMathsTutor]

Amazing news so glad it worked for you!! Are there any other topics that you missed? 😁🙏🏼

[@sukiestar8401]

@@TheGCSEMathsTutor I've also missed rearranging difficult formulae, I will have to work on that too 🙂

[@TheGCSEMathsTutor]

@@sukiestar8401 aaaaah perfect, here’s the link for that: kzbin.info/www/bejne/q5jGg2ChnciHgrM just incase you hadn’t already found it! Let me know how you get on! 😁🙏🏼

[@sukiestar8401]

@@TheGCSEMathsTutor thank you so much! I'll definitely check that out

[@TheGCSEMathsTutor]

@@sukiestar8401 no problem at all, hope it helps! 😁👍🏼👍🏼

[@dannytidy7285]

For turning points, can i differentiate? If it doesn’t ask me to write it in the form (x-a)…? because we learnt it in further maths and it’s much easier

[@0llie81]

8:40 where did the +4 go?

[@sandramoh1763]

omgg ur videos are keeping me motivated!!!

[@asmiforeal]

at 9:33 why do we not expand the bracket? why does it stay 2(x-5/2) and not 2x-5??

[@chriskemp466]

Might be worth a mention that the reason the turning point is as it is shown is that the bracket is at its minimum (i.e. zero since it's squared) when the x is the opposite of the number and hence y is at it's lowest value, i.e. the turning point. The 3 rd example has no real roots which is why the y value of the turning point is above the x line, i.e. +8

[@lucieleduplessis5100]

This helped so much! Thank you🥳

[@bsdpowa]

12:27 -7 1/4 x 2 = +14 1/2, two negatives give a positive, you should write it with brackets instead as -(7 1/4) x 2 to get -14 1/2 otherwise it's confusing because I don't know what you mean unless you explicitly say it

[@rubenraccoon2584]

thank you! this was really helpful as i never really understood how to do it

[@aizaqayyum2090]

why did you flip the sign to positive 4 for the second example?

[@ruslana5600]

number inside the bracket changes sign

[@fozyleen9737]

Thank you for this !

[@GCSEALevelMaths2025]

Great video sir good job very good for algebra!!! Keep this up!!! I make similar videos for gcse ks3 and a level maths!!!

[@g2yasmineouldtoumi395]

Thanks alot I appreciate ur channel. Could u do a video on iteration ?

[@TheGCSEMathsTutor]

Thank you! 😁🙏🏼 Here it is: kzbin.info/www/bejne/fqitfYl7h9Ool8k

[@SayfuHQ]

wow i learned so much from this

[@sila691]

10:10 so what happens with the 2 outside the bracket ?

[@salar5469]

U leave it

[@saudahhafeji6859]

Really Helped!

[@AB-lz5io]

7:49 I understand that the first turning point is positive 1.5 because there is negative 3/2 inside the bracket and we change the signs. What I don't understand is WHY we change the signs and what exactly does the coordinates do? An explanation would be helpful really.

[@mariyahrahman9847]

the guy said he wouldn't go through why we do it the way we do at the start. 0:27

[@magpiestudent9357]

We change the signs to make the equation equal zero, because they cancel one another out. The co-ordinates plot the points of a line on a quadratic graph where they intercept the axes.

[@paulcazza]

@@magpiestudent9357 "Intercept the axes" ??? No "Turning Point" (also called Vertex in posh maths) is the bottom of the U shaped graph if the x squared was positive or if the x squared was a negative then the graph is upside down (kind of like a big frown) and the turning point is the single highest x,y co-ordinate at the top of the graph. Isn't that it?

[@magpiestudent9357]

@@paulcazza I see, thanks.

[@duhitsibs8452]

Your just a genius I’ll be so honest 😹😹😹

[@TheGCSEMathsTutor]

Haha thank you!!

[@infinity8917]

when squaring the number from the bracket do u always have to turn it in to a mixed number?

[@omarrahmankhan8563]

no, leaving it improper is still fine

[@naliinsuthakaran2967]

Thank you so much sir!

[@TheGCSEMathsTutor]

No problem at all 😁🙏🏼

[@moonboo3mwah193]

Would this question come up on a calculator paper or non-calculator.

[@TheGCSEMathsTutor]

It could be either 😁🙏🏼

[@moonboo3mwah193]

@@TheGCSEMathsTutor Oh because the more fiddley numbers i thought it would be in a calculator paper.

[@zltrv_1118]

thank you for ending my struggle

[@Hassan-xu8rn]

isnt the last question wrong 25-4 is 21 and that is not equal to 7 and 1/4

[@JessieArt]

I have a question! Why do you flip the sign on the x when finding a turning point? Thanks :)

[@bigfatL]

because that whole bracket needs to equal 0 after squares as that’s the lowest possible value (a negative squared is a positive)

[@JessieArt]

@@bigfatL thankyou:)

[@Mathspaperks1ks2]

Very good sir good job nice work!!

[@muzhirasadeek6431]

for the very last q, at 13:13, isnt it -8 1/4 instead of -6 1/4??? i keep redoing the question and suspect that i'm slowly going crazy with all this math, no offense. sighh i need a break

[@theyellowmaize6409]

May I ask why do we flip the sign to make it positive?

[@moistbrick9769]

bc the euqation equals to zero its like yk how u flip it when ur doing quadratic formula yeah

[@eipimath]

Thanks for sharing! I posted a video on completing the square using remainder theorem. Let me know what you think.

[@OnlyFantastically]

As amazing as TGMT is, why does this video keep randomly dropping sound? Or is it just my laptop?

[@lxstblox5225]

how to do 6x^2-3x-9 complete the square

[@minalhq5762]

is this the same concept as differenciation?

[@username-sb1hp]

great video so helpful

[@dragonwyng2801]

I need a grade 8 to take further next year. Pray for me XD

[@asmaa1853]

thank you 😊

[@mondja289]

thank you so much!

[@adorabellaa7058]

Hi there Gcse maths tutor could you write your wander in decimals instead of fraction

[@beamingonlsd8821]

Could it be possible if you do a video like this but on geometry?

[@TheGCSEMathsTutor]

Which elements of geometry? 😁

[@beamingonlsd8821]

The GCSE Maths Tutor circle theorems and more of the harder topics in geometry

[@TheGCSEMathsTutor]

火Cursed consider it done 👍🏼

[@santid7055]

Does it matter whether your answer is as a fraction or as whole numbers?

[@bigfatL]

no

[@lolascott9475]

please can you upload paper 2 november tomorrow please these are so helpful thnak you!

[@emmanuelkalumba8576]

What topics are on paper 1 aqa maths please?

[@TheGCSEMathsTutor]

Emmanuel kalumba 90% of the topics can appear on paper 1, with the exception of a few like iterations and using a calculator! There are very few topics that can’t appear on paper 1 😁🙏🏼

[@meerkatking5521]

can you please do identitys

[@TheGCSEMathsTutor]

Meerkat King What aspect of identities? An identity is simply an equality relating one mathematical expression to another, such as 2x + 5x = 3x + 4x 😁🙏🏼

[@meerkatking5521]

@@TheGCSEMathsTutor can you do the most harder identitys that are such as grade 7 8 9

[@TheGCSEMathsTutor]

Meerkat King To be honest there are very few examples that aren’t already covered through these video, you could be asked to show that ax^2 + bc + c = (x + d)^2 + e for example just by completing the square to show they are equivalent but there is nothing that I haven’t already covered, unless you have a specific example?

[@meerkatking5521]

@@TheGCSEMathsTutor can you explain 2x^-20x+c=(equal has 3 horizontal line) a(x-b)^+3b

[@TheGCSEMathsTutor]

Meerkat King In this video I cover the skill you need for this, completing the square with coefficients greater than one: kzbin.info/www/bejne/bZzYgn9sobtrf6s For this question you need to first complete the square: 2(x^2-10x+c/2) 2((x-5)^2 -25+c/2) 2(x-5)^2 -50 + c From there you can see that b=5 so 3b=15 If 3b = 15 then -50+c has to equal 15 So c=65 😁🙏🏼

[@shannnnn5150]

GCSE 2022’ where you guys at!!

[@asianwarrior2193]

3:36 how come you only flipped the -4 but not the -20?

[@kaniyinpanranjithjeyakumar39]

You only need to flip the x coordinate

[@classcritter]

got a 7, thankyou

[@gunnu9855]

Hi sir , how many marks would questions like at 10.45 be worth in an exam?

[@TheGCSEMathsTutor]

These questions are all usually 3-4 marks 😁🙏🏼

[@shreyadesai1107]

thank you

[@lawrencem4945]

what paper would this be in?

[@charliewilliams5672]

all of them but it wasnt in paper one so it will probably be in two or three

[@lawrencem4945]

@@charliewilliams5672 thanks

[@yunzje]

Thanks

[@TheGCSEMathsTutor]

My pleasure 😁

[@abdulrahmanakinade2879]

Im still confused how (x + 4 )^2 Came from the original equation 😕

[@TheGCSEMathsTutor]

(x+4)^2 is the only squared bracket that can give you +8x in the quadratic so this must be used! When you expand (x+4)^2 you get x^2+8x+16 so in order to balance it out you just have to complete the squared bracket! Not sure if that is helpful? 🙏🏼🙏🏼

[@abdulrahmanakinade2879]

@@TheGCSEMathsTutor i understand now thank you very much 😃 pls keep up the hard work ur helping me alot.

[@sav-r2x]

what grade is this topic?

[@tanyajames9010]

please can you upload november paper 2 by tomorrow night ? that would be much appreciated thank you so much

[@winniethepooh8766]

asking for a bit too much there.

[@harryoshea6800]

You are a god

[@TDgrwm]

no dont compare to god pleasee

[@okay4567]

what grade are the last 2 questions?

[@TheGCSEMathsTutor]

The whole topic is grade 9 😁🙏🏼

[@Sara-xl1zo]

My igcse is after 4 hours 🔥😀

[@oddjob4877]

Like most gifted mathematicians unfortunately you make too many logic leaps in your explanations without explaining why you have made that step. I am sure that Most of the time you don’t even realise you are doing it because to you the next step seems obvious, however the video is mainly going to be watched by students who by definition, don’t understand the concept fully and therefore need someone to provide a better explanation than they have had so far at school.

[@Rayaann]

Strongly agreed

[@wagwannigs]

This!!! I am left so confused with half the stuff he does like he’s assuming I alr have a degree in maths whilst I’m watching these gcse videos

[@MD-xb2sy]

U problem

[@xyeonjvnzx]

I genuine thought this was a me problem because of how much ppl praised him in the comments

[@funm1ke]

Well he did say he’s not gonna talk about why because he assumes you already have knowledge on completing the square from his previous video

[@mxryam0501]

revision the night before the exam 😭

[@TheGCSEMathsTutor]

Good luck! 😁🤞🏼

[@mxryam0501]

@@TheGCSEMathsTutor thanks went amazing thanks to you !!!

[@TheGCSEMathsTutor]

@@mxryam0501 So glad to hear it 😁🙏🏼

[@hi-ny3gr]

@@mxryam0501 what did you get for ur GCSE

[@sagegames5818]

when is the x and negative tho

[@jkim1402]

damn, 1 dislike through the whole time, good work mr GCSE maths tutor

[@chillipeppers7285]

made me go from a grade 2 to 5

[@TheGCSEMathsTutor]

Wow!! That’s incredible news congratulations 😁👏🏼👏🏼

[@ozmahussain9490]

is watching vidoes the only revision you did or did you do topic questions too?

[@chillipeppers7285]

@@ozmahussain9490 i watched the videos and then done a few practice questions from maths genie on the topic, got a grade 6 in the summer 💪

[@rezonixgaming9636]

Goat

[@ZacHyde-g4u]

why there a new intro

[@wintrluvc]

exactly, i thought the old intro was iconic 💪

[@charliewilliams5672]

nice

[@lmj9517]

why is it called completing the Square?

[@MegaBanannaman]

good fun

[@arghoxavierbiswas2687]

Maybe I'm too late I have just 25 days and I'm absolutely zero on maths I don't know anything about maths

[@harryoshea6800]

I love you

[@abzinhoo]

Hm

[@smv_ksj1712]

Defo not here for A levels...

[@sammak2461]

any1 else got paper 2 in an hour lol?

[@Rayaann]

From 8:59 that made no sense, due to u providing no explanation 💀💀

[@inori_yuziriha]

? what explanation do you need for that, it's just x^2 + nx + k, you take x^2 + nx to make a form like (a+b)^2 and then minus the thing you've added to make that square brackets. simple as that

[@Rayaann]

@@inori_yuzirihatyty