Completing the Square & Turning Points (Higher Only) | GCSE Maths Tutor
Рет қаралды 201,863
Күн бұрынA video revising the techniques and strategies for completing the square and finding turning points - Higher Only
This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series.
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Don’t forget to check these videos out:
Part 1 - The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - • Everything You Need To...
Part 2 - Everything you need for a Grade 6-9 in your Maths GCSE (Higher Only) - • Everything for a Grade...
🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review what you have learnt on the exam questions
Part 1 - Completing the Square & Turning Points - • Completing the Square ...
Part 2 - Solving Quadratics by Completing the Square - • Solving Quadratics by ...
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@muhammadkarolia2722 3 жыл бұрын
you are the reason I will pass my GCSE
@arsenicrx684 2 жыл бұрын
@Hana we havent done them yet
@arsenicrx684 2 жыл бұрын
@Hana it could be at the begging of they year maybe
@arsenicrx684 2 жыл бұрын
u doing ur gcse this year ?
@turtl1873 2 жыл бұрын
@@arsenicrx684 good luck for tomorrow !
@arsenicrx684 2 жыл бұрын
@@turtl1873 thx gl to u to
@oliviaillidge7575 3 жыл бұрын
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 !
@jasonchen3514 Жыл бұрын
You are the reason I passed my GCSEs, and you will be the reason that I passed my A-Levels
@yaz5011 2 жыл бұрын
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 KZfaqr i can watch. 😂 🙌🏻
@TheGCSEMathsTutor 2 жыл бұрын
Wow that’s amazing news, you can do it!!! So glad you are enjoying them! Let me know how you get on 😁🙏🏼
@adzyt9185 2 жыл бұрын
How did you get a grade 7 please help as im currently on the same grade 3 and doing higher
@yaz5011 2 жыл бұрын
@@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 2 жыл бұрын
Dude that's amazing! Well done for finding the motivation to improve, that's a tremendous improvement!
@yaz5011 2 жыл бұрын
@@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!!
@May-gr8bp 3 жыл бұрын
these questions are helping me revise I have mock exams next week and you're helping me do well
@carly6192 3 жыл бұрын
Thank you so much this was really helpful for my higher revision!
@vascobishop3359 2 ай бұрын
Beautifully taught. You cant go wrong with this teacher.
@Airbladev2 2 жыл бұрын
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 2 жыл бұрын
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 😁🙏🏼
@IceCubeD-or2gt 2 жыл бұрын
how was it? my first exam is the 26th of April AAAA, I'm freaking out man .
@Airbladev2 2 жыл бұрын
@@IceCubeD-or2gt I got a 7 man 😂 was expecting like 3 or 4 ngl cause the paper was harder than I anticipated
@birdie7344 Жыл бұрын
@@Airbladev2 is it true that edexcel igcse jan papers are harder than june papers (for all subjects)? or just a myth?
@Airbladev2 Жыл бұрын
@@birdie7344 nah, Jan papers are usually easier in most cases but I could be wrong >:)
@jjskaur2052 Жыл бұрын
This video was amazing i nrver thought i could do this topic! Thank you GCSE math tutor 😊
@digitalcartoonsfm 2 жыл бұрын
Thank you, this makes starting revision a lot easier
@TheGCSEMathsTutor 2 жыл бұрын
So glad to hear that! Glad it’s helping 😁🙏🏽
@muhammedowais 8 ай бұрын
this is my revision 😂
@fozyleen9737 3 жыл бұрын
Thank you for this !
@sbonganzimande6500 2 жыл бұрын
THANK YOU SO MUCH, this was so helpful
@caslovss 2 жыл бұрын
aiming for a grade 9 in my gcses and your videos have been helping me improve so much !!
@birdie7344 Жыл бұрын
what did u get?
@butterfly1167 Жыл бұрын
Same! I'm going to get that 9 nothing is in my way
@rubenraccoon2584 2 жыл бұрын
thank you! this was really helpful as i never really understood how to do it
@sandramoh1763 Жыл бұрын
omgg ur videos are keeping me motivated!!!
@q1ta 2 жыл бұрын
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 2 жыл бұрын
Amazing news I’m so glad to hear it helped! 😁🙏🏼
@shamiyahm9552 4 жыл бұрын
U are literally so helpful thanx so much
@TheGCSEMathsTutor 4 жыл бұрын
Blue Koala Glad to hear 😁 my pleasure!
@lucieleduplessis5100 3 ай бұрын
This helped so much! Thank you🥳
@saudahhafeji6859 2 жыл бұрын
Really Helped!
@djdude5184 Жыл бұрын
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 Ай бұрын
Any tips please
@deborah9924 2 ай бұрын
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 2 ай бұрын
same lmao 2 weeks left got me spam watching these videos
@yejihour1281 Ай бұрын
@@Synces6969tomorrow 😭
@Ben-tw1nq Ай бұрын
good luck bro
@kaveri9930 Ай бұрын
@@yejihour1281 5am morning of the exam and i j found this channel cba
@Rhobeni Ай бұрын
One hour from now 😭
@voodoocurry2762 7 ай бұрын
This is so much more helpful.better than my teacher
@mondja289 3 жыл бұрын
thank you so much!
@Mathspaperks1ks2 3 жыл бұрын
Very good sir good job nice work!!
@username-sb1hp 2 жыл бұрын
great video so helpful
@SayfuHQ 2 жыл бұрын
wow i learned so much from this
@radhamodi1693 2 жыл бұрын
this helps so much thank you
@TheGCSEMathsTutor 2 жыл бұрын
So glad to hear it 😁🙏🏼🙏🏼
@asmaa1853 Жыл бұрын
thank you 😊
@GCSEALevelMaths 2 жыл бұрын
Great video sir good job very good for algebra!!! Keep this up!!! I make similar videos for gcse ks3 and a level maths!!!
@naliinsuthakaran2967 2 жыл бұрын
Thank you so much sir!
@TheGCSEMathsTutor 2 жыл бұрын
No problem at all 😁🙏🏼
@shreyadesai1107 4 ай бұрын
thank you
@tawhidrahman9910 Жыл бұрын
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.
@dannytidy7285 Жыл бұрын
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
@zltrv_1118 2 жыл бұрын
thank you for ending my struggle
@claraishungry501 3 жыл бұрын
8:17 can I just divide the entire equatio by 2?
@g2yasmineouldtoumi395 4 жыл бұрын
Thanks alot I appreciate ur channel. Could u do a video on iteration ?
@TheGCSEMathsTutor 4 жыл бұрын
Thank you! 😁🙏🏼 Here it is: kzfaq.info/get/bejne/ft16f7l2t9TZkZs.html
@fizzah4619 4 жыл бұрын
can you please make a video on factorisng AND solving quadrarics in all the ways ie the formula ,
@TheGCSEMathsTutor 4 жыл бұрын
Factorising: kzfaq.info/get/bejne/r6-Dm7aozMuckqs.html Factorising Quadratics: kzfaq.info/get/bejne/ebaqit2dmLuZd5s.html Factorising Harder Quadratics: kzfaq.info/get/bejne/equfmMx3ubWocYk.html Quadratic Formula: kzfaq.info/get/bejne/rdmirbt-zdKYon0.html
@dragonwyng2801 2 ай бұрын
I need a grade 8 to take further next year. Pray for me XD
@sukiestar8401 2 жыл бұрын
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 2 жыл бұрын
Amazing news so glad it worked for you!! Are there any other topics that you missed? 😁🙏🏼
@sukiestar8401 2 жыл бұрын
@@TheGCSEMathsTutor I've also missed rearranging difficult formulae, I will have to work on that too 🙂
@TheGCSEMathsTutor 2 жыл бұрын
@@sukiestar8401 aaaaah perfect, here’s the link for that: kzfaq.info/get/bejne/q82ThZCczcm4fIU.html just incase you hadn’t already found it! Let me know how you get on! 😁🙏🏼
@sukiestar8401 2 жыл бұрын
@@TheGCSEMathsTutor thank you so much! I'll definitely check that out
@TheGCSEMathsTutor 2 жыл бұрын
@@sukiestar8401 no problem at all, hope it helps! 😁👍🏼👍🏼
@charliewilliams5672 Ай бұрын
nice
@sakadagoat2864 2 жыл бұрын
I have my maths mock tomorrow, you will be the reason i pass
@TheGCSEMathsTutor 2 жыл бұрын
Hope it went well! Let me know how it goes 😁🙏🏼
@sakadagoat2864 2 жыл бұрын
@@TheGCSEMathsTutor first one went well got another one next week Monday which is the calculator one so should be easier than the one yesterday
@asmiforeal Жыл бұрын
at 9:33 why do we not expand the bracket? why does it stay 2(x-5/2) and not 2x-5??
@lolascott9475 4 жыл бұрын
please can you upload paper 2 november tomorrow please these are so helpful thnak you!
@minalhq5762 3 жыл бұрын
is this the same concept as differenciation?
@grey4288 Жыл бұрын
got a 7, thankyou
@eipimath Жыл бұрын
Thanks for sharing! I posted a video on completing the square using remainder theorem. Let me know what you think.
@yunzje Жыл бұрын
Thanks
@TheGCSEMathsTutor Жыл бұрын
My pleasure 😁
@chriskemp466 5 ай бұрын
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
@DecryptGamer 4 жыл бұрын
Can you write the coordinates as (2.5, -4.5) at 10:00 ?
@TheGCSEMathsTutor 4 жыл бұрын
Soloboi Absolutely!! 😁🙏🏼
@AH91021 4 жыл бұрын
Can u pls upload November 2019 paper 2 and 3 for edexcel higher 🙏🙏
@TheGCSEMathsTutor 4 жыл бұрын
Araf Hassan I have only had time for paper 1 so far, but they will be up soon: kzfaq.info/get/bejne/qZt2pdlnq8rJgGw.html
@bsdpowa 3 ай бұрын
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
@adorabellaa7058 Жыл бұрын
Hi there Gcse maths tutor could you write your wander in decimals instead of fraction
@infinity8917 Жыл бұрын
when squaring the number from the bracket do u always have to turn it in to a mixed number?
@omarrahmankhan8563 Жыл бұрын
no, leaving it improper is still fine
@rezonixgaming9636 2 жыл бұрын
Goat
@duhitsibs8452 2 жыл бұрын
Your just a genius I’ll be so honest 😹😹😹
@TheGCSEMathsTutor 2 жыл бұрын
Haha thank you!!
@hk959 2 жыл бұрын
Could you please explain at 11:13 why we need to take away 1/4 rather than 2 1/4
@seducedol7269 2 жыл бұрын
because we only need the number two, so taking away 1/4 from 2 and 1/4 would leave us with 2 by itself
@salmaanyunos6419 2 жыл бұрын
What happens when the coefficient of x2 cannot be facotirised with the constant?
@TheGCSEMathsTutor 2 жыл бұрын
Then the other numbers becomes fractions/decimals and it gets very complicated! 😰
@lxstblox5225 Жыл бұрын
how to do 6x^2-3x-9 complete the square
@harryoshea6800 3 жыл бұрын
You are a god
@fluffybarney5546 Жыл бұрын
no dont compare to god pleasee
@jkim1402 3 жыл бұрын
damn, 1 dislike through the whole time, good work mr GCSE maths tutor
@MegaBanannaman Жыл бұрын
good fun
@user-kg4yx9ji1h 4 ай бұрын
what grade is this topic?
@Jessieberryy Жыл бұрын
I have a question! Why do you flip the sign on the x when finding a turning point? Thanks :)
@bigfatL Жыл бұрын
because that whole bracket needs to equal 0 after squares as that’s the lowest possible value (a negative squared is a positive)
@Jessieberryy Жыл бұрын
@@bigfatL thankyou:)
@aizaqayyum2090 3 жыл бұрын
why did you flip the sign to positive 4 for the second example?
@ruslana5600 3 жыл бұрын
number inside the bracket changes sign
@harryoshea6800 3 жыл бұрын
I love you
@moonboo3mwah193 Жыл бұрын
Would this question come up on a calculator paper or non-calculator.
@TheGCSEMathsTutor Жыл бұрын
It could be either 😁🙏🏼
@moonboo3mwah193 Жыл бұрын
@@TheGCSEMathsTutor Oh because the more fiddley numbers i thought it would be in a calculator paper.
@beamingonlsd8821 4 жыл бұрын
Could it be possible if you do a video like this but on geometry?
@TheGCSEMathsTutor 4 жыл бұрын
Which elements of geometry? 😁
@beamingonlsd8821 4 жыл бұрын
The GCSE Maths Tutor circle theorems and more of the harder topics in geometry
@TheGCSEMathsTutor 4 жыл бұрын
火Cursed consider it done 👍🏼
@sila691 3 жыл бұрын
10:10 so what happens with the 2 outside the bracket ?
@salar5469 Жыл бұрын
U leave it
@emmanuelkalumba8576 4 жыл бұрын
What topics are on paper 1 aqa maths please?
@TheGCSEMathsTutor 4 жыл бұрын
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 😁🙏🏼
@Sara-xl1zo 2 жыл бұрын
My igcse is after 4 hours 🔥😀
@theyellowmaize6409 Жыл бұрын
May I ask why do we flip the sign to make it positive?
@moistbrick9769 Жыл бұрын
bc the euqation equals to zero its like yk how u flip it when ur doing quadratic formula yeah
@tanyajames9010 4 жыл бұрын
please can you upload november paper 2 by tomorrow night ? that would be much appreciated thank you so much
@winniethepooh8766 3 жыл бұрын
asking for a bit too much there.
@santid7055 2 жыл бұрын
Does it matter whether your answer is as a fraction or as whole numbers?
@bigfatL Жыл бұрын
no
@AB-lz5io 2 жыл бұрын
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 2 жыл бұрын
the guy said he wouldn't go through why we do it the way we do at the start. 0:27
@magpiestudent9357 Жыл бұрын
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 Жыл бұрын
@@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 Жыл бұрын
@@paulcazza I see, thanks.
@shannnnn5150 2 жыл бұрын
GCSE 2022’ where you guys at!!
@muzhirasadeek6431 2 жыл бұрын
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
@sagegames5818 Жыл бұрын
when is the x and negative tho
@gunnu9855 3 жыл бұрын
Hi sir , how many marks would questions like at 10.45 be worth in an exam?
@TheGCSEMathsTutor 3 жыл бұрын
These questions are all usually 3-4 marks 😁🙏🏼
@asianwarrior2193 3 жыл бұрын
3:36 how come you only flipped the -4 but not the -20?
@kaniyinpanranjithjeyakumar39 2 жыл бұрын
You only need to flip the x coordinate
@lawrencem4945 Ай бұрын
what paper would this be in?
@charliewilliams5672 Ай бұрын
all of them but it wasnt in paper one so it will probably be in two or three
@lawrencem4945 Ай бұрын
@@charliewilliams5672 thanks
@oddjob4877 Жыл бұрын
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 Жыл бұрын
Strongly agreed
@wagwannigs 7 ай бұрын
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 6 ай бұрын
U problem
@xyeonjvnzx 5 ай бұрын
I genuine thought this was a me problem because of how much ppl praised him in the comments
@funm1ke 4 ай бұрын
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
@maryamx9040 2 жыл бұрын
revision the night before the exam 😭
@TheGCSEMathsTutor 2 жыл бұрын
Good luck! 😁🤞🏼
@maryamx9040 2 жыл бұрын
@@TheGCSEMathsTutor thanks went amazing thanks to you !!!
@TheGCSEMathsTutor 2 жыл бұрын
@@maryamx9040 So glad to hear it 😁🙏🏼
@hi-ny3gr Жыл бұрын
@@maryamx9040 what did you get for ur GCSE
@meerkatking5521 3 жыл бұрын
can you please do identitys
@TheGCSEMathsTutor 3 жыл бұрын
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 3 жыл бұрын
@@TheGCSEMathsTutor can you do the most harder identitys that are such as grade 7 8 9
@TheGCSEMathsTutor 3 жыл бұрын
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 3 жыл бұрын
@@TheGCSEMathsTutor can you explain 2x^-20x+c=(equal has 3 horizontal line) a(x-b)^+3b
@TheGCSEMathsTutor 3 жыл бұрын
Meerkat King In this video I cover the skill you need for this, completing the square with coefficients greater than one: kzfaq.info/get/bejne/bdGlhK9n0byceX0.html 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 😁🙏🏼
@chillipeppers7285 2 жыл бұрын
made me go from a grade 2 to 5
@TheGCSEMathsTutor 2 жыл бұрын
Wow!! That’s incredible news congratulations 😁👏🏼👏🏼
@ozmahussain9490 Жыл бұрын
is watching vidoes the only revision you did or did you do topic questions too?
@chillipeppers7285 Жыл бұрын
@@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 💪
@okay4567 2 жыл бұрын
what grade are the last 2 questions?
@TheGCSEMathsTutor 2 жыл бұрын
The whole topic is grade 9 😁🙏🏼
@Hassan-xu8rn Ай бұрын
isnt the last question wrong 25-4 is 21 and that is not equal to 7 and 1/4
@abdulrahmanakinade2879 2 жыл бұрын
Im still confused how (x + 4 )^2 Came from the original equation 😕
@TheGCSEMathsTutor 2 жыл бұрын
(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 2 жыл бұрын
@@TheGCSEMathsTutor i understand now thank you very much 😃 pls keep up the hard work ur helping me alot.
@abzinhoo Жыл бұрын
Hm
@user-tx6lv6pi9m Жыл бұрын
why there a new intro
@wintrluvc 7 ай бұрын
exactly, i thought the old intro was iconic 💪
@lmj9517 Жыл бұрын
why is it called completing the Square?
@arghoxavierbiswas2687 2 жыл бұрын
Maybe I'm too late I have just 25 days and I'm absolutely zero on maths I don't know anything about maths
@smv_ksj1712 Жыл бұрын
Defo not here for A levels...
@sammak2461 2 жыл бұрын
any1 else got paper 2 in an hour lol?
@Rayaann Жыл бұрын
From 8:59 that made no sense, due to u providing no explanation 💀💀
@inori_yuziriha Жыл бұрын
? 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
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