Maths HL & Further
For HL and Further Maths discussions
1,137 topics in this forum

HL Textbooks 1 2 3 4 6
by chokophilia 112 replies
 51.6k views
Hi all! I'm currently using the "Mathematics for International Student" (Haese & Harris Publications) as my main maths textbook and I was wondering if that would be enough for me to achieve good marks for Maths HL. There's another Maths book by IBID press but I'm not sure if its worth for me to get it Or should I just do questions from past papers? What ar ur thoughts?
Last reply by Lucky, 
 1 follower
 12 replies
 91.6k views
Author's Note This is the third draft of a concise guide I'm working on in regards to the new mathematical exploration IA; this started as an HL guide but has now been generalized to include the SL curriculum as well. Please do let me know if there are any improvements you can suggest, or any questions you have after reading through this. I plan to keep this updated and add to it as I work though my own IA. Thanks for taking the time to read through!  Table of Contents Preface and Introduction to the Exploration The Process (to be added) Formatting (to be added) Acceptable Topics (SL) Acceptable Topics (HL) Grading and Evaluation Crit…
Last reply by BioMed, 
 20 replies
 35.8k views
I'd love it if you could share some tips and tricks for papers 1, 2 and 3. I'm at a stage where maths is kinda worrying me. I'm on my holiday break right now, but when I get back to school, my teacher's getting us to do all the papers to 'give us a chance to get higher predicted grades' for our uni applications. He's also said that if we don't manage to get at least a 4/5 overall, he'll enter us for the standard level maths paper which I really, really, really don't want and can't afford at all. As the dreaded may exams are inching closer (four months to go!), the worry's slowly consuming me. So, I thought about perhaps starting a thread where we could somehow gather…
Last reply by King112, 
 32 replies
 13.2k views
I have been reading into the IB programme and the subjects that my school has assigned to me for the next two years, and the one that worries me mostly is Maths HL. I am a good maths student but whilst speaking to other people and reading this forum I have gotten the impression that the subject is quite difficult and challenging, but also I have some questions. 1) Discreet mathematics; series and differential equations; sets, relations and groups; statistics and probability. Shall my Maths HL class encompass all of those or only one or a few? Are they all needed to pass the IB Maths HL exam? 2) Considering the difficulty of the subject, should I make an effort during this…
Last reply by kartikeya, 
 0 replies
 11.4k views
This is a pdf file that has the portfolio tasks for 2012/2013. Type I: Shadow functions Patterns from complex numbers Type II: The dice game Filling up the petrol tank portofolio tasks for 2012 2013.pdf
Last reply by bomaha, 
 1 reply
 13.5k views
Sorry if they're not very clear, but it's the best I found. Type I: Patterns within systems of linear equations How many pieces? Type II: Running with Angie and Buddy Modelling a functional building Patters within systems of linear equations.pdf How many pieces.pdf Modelling a functional building.pdf Running with Angie and Buddy.pdf
Last reply by prastha, 
 3 followers
 2 replies
 251 views
I'm beginning to brainstorm ideas for my upcoming math IA and I'm very interested in exploring the topic of music in the context of mathematics. I've played the guitar for nearly 5 years so I would like to focus more on that instrument. I initially wanted to discuss Fourier transform but my teacher advised me not to due to the topic's depth given that this was only an IA and not an EE. I've been thinking of simpler topics I can tackle in that domain but have so far come up fairly emptyhanded. Other topics that I've done some mild exploration in have been Pythagoras ratios in guitar frets or beats and overtones. I was hoping to get a bit of advice from anyone that may hav…
Last reply by samlloyd, 
 2 followers
 1 reply
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I'm having a hard time deciding on a topic for my math IA which I'm supposed to start working on next month. I thought of the golden ratio but I feel like that is a very common topic and would not make my IA stand out. Ive been in the state board upto my sophomore year and this transitioning has been hard as I haven't ever explored practical topics in mathematics. Any ideas for broad topics that I could research on? P.S  I'm interested in subjects like media studies, fashion design, advertising and psychology. Thank you!!
Last reply by kw0573, 
 2 followers
 1 reply
 145 views
Hey everyone! So our teacher consistently uses some very strict grade boundaries for AA HL  90% = 7, 80% = 6, and so on. My question is whether such insane percentages are also required by the IB? The struggle is real here 😅
Last reply by kw0573, 
 2 followers
 2 replies
 219 views
Hi! I'm currently in the process of searching for a topic for my exploration in Math AA HL. I would like to focus on calculus, and I've so far come up with two possible topics: 1) optimizing the volume/surface area of plastic bottles of different shapes (the calculations should be quite ok and I feel like I could link it nicely to some real world applications; from my searches online I have however found that it's a pretty common topic, so I'm not sure if it's better to avoid it), or 2) looking at spinning tops, most likely at their moments of inertia (I haven't done a whole lot of research on this yet, it seems relatively interesting but much harder than the fi…
Last reply by nv_xx, 
 3 replies
 1.3k views
So, as I further dive into postgraduate papers I simply do not contain the brain capacity (yet?) to comprehend, I'm gaining an increasingly certain belief that doing an HL exploration on chaos theory/it's applications is not my cup of tea. (again, yet(?)) Our option topic is calculus, and what I've come to understand (with questionable accuracy) is that the chaos theory falls rather into the "discrete maths territory", whatever that is. I've already suggested the topic to my teacher and he appeared to have no hesitations on asking for the rationale and the mathematical development, due yesterday. (yay snow break?) (I mean I could've asked him about these if it weren't fo…
Last reply by hal2704, 
 2 followers
 10 replies
 2.2k views
Hi guys, I'm about to submit my IA idea for math and I just want a few pieces of advice choosing one. Currently, I'm very much interested in cryptography and machine learning which are the topics that I want to do my Math IA on, are these viable ideas? Earlier when I talked to my teacher, he said that writing about the Global Positioning System (GPS) would be a great idea, but I'd much prefer the other two topics. What should I do to ensure that I get a high grade while doing something that I actually enjoy?
Last reply by Kaito, 
 2 followers
 1 reply
 103 views
Hey everyone, I'm in HL Math AA and I was just thinking about my math IA. I was wondering whether you could do The Painter's Paradox for a math IA, but I wanted to know whether I have do more than just solving the paradox to get at least a 15/20 in the IA. Thanks.
Last reply by leochavarry, 
 1 follower
 0 replies
 88 views
Does anyone have the worked answer pdf for hodder education math text book?????? WHy all the IB math text book have just only with the answer not the worked examples???? pls help me
Last reply by Kcojun2103, 
 5 followers
 5 replies
 331 views
My math HL IA was due literally months ago and i dont have anything to submit. At this point I don't expect to pass, I just need something to submit. The final chance to submit literally any document so that I graduate is in 3 hours. I have nothing. No topic outline rubric examples or anything, i don't have any examples or other students because its a 3 person class and our teacher is out. I don't know what to do and if I dont make something up in the next 3 hours I'm not graduating.
Last reply by TJ, 
 1 follower
 0 replies
 99 views
Hey all, So I am starting my math HL IA soon and I'm thinking of exploring beats created when two sound waves approach the same frequency but are only slightly out of phase. I potentially want to tie this back to the guitar though an experiment. I have an electric guitar with me but I don't know what to discuss with my results. Any advice? Thank you
Last reply by RKibstudent, 
 1 follower
 0 replies
 103 views
I'm working through Oxford's aa HL Textbook and the solutions at the end of the book are quite often wrong. Even the worked solution book gives false solutions and false steps. Am I the only one who came across this. I really hope that you can help me find another math aa HL textbooks with hard problems and right solutions.
Last reply by Kedog, 
 1 follower
 0 replies
 115 views
Hi, I've had to change my topic for my IA heaps of times now and it is due next week. The current topic I was thinking about doing was how GPS works. I get that it works on trilateration, but I saw somewhere that someone did a HL math IA on it. So I was wondering what kind of concepts do I use if I did my IA on this and how would I make it HL? I'm doing math aa hl btw. Thank you so much!
Last reply by rollme, 
 7 replies
 15.3k views
I wanted to ask what will happen if I get caught in plagiarism in my math IA? to be very honest, I didn't do the IA by myself and copied a lot of material from the internet. I cited it all though Will the diploma be cancelled? And if it does, the US university which has already enrolled me, will it withdraw the admission? please reply...i think over this a lot these days
Last reply by julit, 
 1 follower
 0 replies
 113 views
Hi, I’ve been thinking about my maths IA and I would like to do it on area optimisation. I would like to relate it to city/urban planning. I was wondering if there was anyway to use inscribed and circumscribed polygons in a circle to show area optimisation and then using L’hospitals rule to prove the proof. How would I relate this to city/ urban planning? And would this work as an IA topic ?
Last reply by Menny, 
 1 follower
 0 replies
 147 views
Hey guys, since we are in quarantine and I have no clue what else apart from working out I can do for CAS (and also bc I like maths a lot) I started to make vids about hl math aa topics (in all my tests in math aa hl I got a perfect score or a nearly perfect one so I think I understand them well). I would like you to see the video and give me some suggestions if you have time please . Thanks! This is the link for my first video of some basic problems of complex numbers: https://www.youtube.com/watch?v=g7u_uk5Z5e8
Last reply by leochavarry, 
 11 replies
 12.9k views
Hi guys, I was wondering if investigating the Fourier Series, and its applications for Noise Cancelling Headphones would be a good and suitable Math HL IA? I'm not sure if it has the appropriate level of complexity, and also if 'investigating' i.e. explaining how this system works in noise cancelling headphones is going to score highly. Should I try and narrow it down, focussing on a particular brand? Also, how can I make it more 'mathematical' as exploring one theorem may not should a great use of maths? Has anyone done any work on the Fourier Theorem or series already and found that there isn't much to explore? If anyone has any comments, tips or advice on this part…
Last reply by cubersam, 
 1 follower
 0 replies
 113 views
I have so many topics in my mind but really, I'm not sure what are the mathematics used behind it. Can you guys suggest me a topic that is related to Statistics (apparently I understand this topic well), related to songs or Music (but not like musical instruments) and also can be applied to real life situation? Please help me 😭 I have been thinking suitable topic for 3 MONTHS
Last reply by ceoatz, 
 1 follower
 0 replies
 177 views
Hello, everyone! I wanted to write Math HL ia about volume of area of an object (for example: torus, bottles, or other complex objects) My concern is whether the topic is too easy for HL IA. Could you please give me some suggestions that can make ia meet the HL expectation criteria? I have really no idea about it... Thank you!!
Last reply by June100, 
 1 follower
 3 replies
 3.2k views
CAN ANYONE GUIDE ME UPON THE USE OF DATA IN MONTE CARLO SIMULATION, AND IS THIS A GOOD TOPIC OVERALL PLEASE..I NEED FEEDBACKS
Last reply by MassiveMohammed, 
 1 follower
 0 replies
 152 views
Hi everybody, I'm starting IBDP this spring and going to take Math HL. I’ve been solving the problems on review sections on the textbooks for Math HL (published by Haese mathematics) recently to prepare for class because I’ve already studied some areas (like quadratic functions and probability and whatnot) at school. I actually thought those problems are not very difficult, so now I’m kinda relieved because I hear many people say Math HL is insane. So here’s my question. Is the final exam much more difficult than them? And Shouldn’t I be relieved yet?
Last reply by Ashleyy, 
 3 followers
 2 replies
 194 views
So after reading endless of Ib related threads I came to the conclusion to buy the Haese&Harris Math HL book. But there is this one problem. I can only find a Book from 2008 with the name Haese&Harris. Here a link: https://www.medimops.de/paulurbanmathematicsfortheinternationalstudentsibdipolmahlcoretaschenbuchM01876543116.html Is this the one everyone is talking about and is this book good for a 67 points reaching student?
Last reply by ZBSA, 
 1 follower
 0 replies
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Hi, I’m currently choosing my IB courses and I was wondering if T10 US colleges would see HL Math AI as a waste of an HL (our school only lets us take 3 HLs out of 6 IB courses for the diploma program). Would it make more sense to take SL Math AA and another HL. I don’t want to take HL Math AA. I also want to keep my options open for engineering.
Last reply by qwertyuiop1234876543567890, 
 2 followers
 9 replies
 6.8k views
Hi everyone, I was wondering if I could get your opinion on whether this topic is appropriate for a Math Exploration in HL. I am planning on analyzing Poker Odds, mainly by focusing on Pot and Card Odds. I will certainly be using conditional probability, Bayes Theorem, Factorials, Permutations, etc. I will basically give an invented scenario and, from there, I will find the probabilities of having a certain hand and of winning based on the opponent calling or betting. I will also use probability to determine if the odds of the hand are profitable to continue playing. So, what do you guys think? Do you think this is a good topic and that the math used is appropriate for H…
Last reply by Therew, 
I am taking MAA HL syllabus and I'm trying to do a calculus IA on the roller skates and my draft is due in a few days. I am modelling rates of change of roller skate accelerating down a hill, kind of like motion down an inclined plane we learn in Physics. I started off by collecting data of distance and time to generate an equation of motion of the roller skate. That gave me what I assumed is an exponential function because the roller is accelerating down the hill. To further my investigation, I tried differentiation, hoping that it would be complicated. My aim is to suggest a modification to the hill so that I would be able to travel down faster without posing any safe…
Last reply by Gale, 
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 2 replies
 4.7k views
Hi, I'm doing an IA on the volume and surface area of a torus, and I've already derived the equations needed. However, these equations and their derivations are widely found across the internet, so do you think it would turn up as plagiarisation? :0 Also, I'm thinking on optimising surface area with a fixed volume, meaning having the largest surface area with the smallest volume. How do you think I can do this, and whether the equations that I have just derived can play a part in this? Thanks a ton
Last reply by XxX5h1n1gam1XxX, 
 2 replies
 3.3k views
Hii My IA idea submission is due tomorrow and I have no idea what I really want to do, but came up with the idea of optimization using differential equations. I thought of reducing the surface area of packaging in different shapes like sphere and prisms, and calculate the minimum point (minima) through second order differentiation equation. I am also planning to then apply this to different real life examples like Toblerone triangle prism or something like that. Do you think this is too simple at the level of maths HL because it is just at the level of maths HL in the syllabus? I am ready to discard the idea if the maths involved is too easy for HL. Thanks xx
Last reply by IshitaB, 
 2 followers
 1 reply
 306 views
Hey everyone! I’m in A&A HL, and this was one of the problems on my homework. I basically had to find the value of theta (in radians) and hence the area of the figure I drew as well. I checked my answer against the one in my textbook (I’m using the blue Haese Mathematics book), but it doesn’t match. Can someone please look over my steps and point out any mistakes I made? Thank you.
Last reply by kw0573, 
 5 followers
 7 replies
 4k views
Hi guys, I'm doing my modeling maths porfolio on the dice game. You can find the task here. page 4. Currently, i'm doing the last two questions. For the second last task: let say, the player pays $30 for each game, and if he wins he will get his money back and the banks has to pay him as well. So if the probability of him winning the game is 15/36, out of 36 games, he can earn 15x30=$450 and the bank has to pay him a certain amount of money for every game he wins. does that sound alright? For the last task: in the case of multiple players involved in the game, is it that the each player rolls their dice once only or for the same number of times? And how do we decide who w…
Last reply by Marchik, 
 4 followers
 7 replies
 447 views
I'm having a lot of problems with HL Maths. I don't know what can I do to understand the contents that my teacher explains. If you could give me some tips I would be grateful. Sorry for the mistakes, English is not my first language.
Last reply by VB1, 
 1 follower
 3 replies
 1.4k views
Hi all! I am a 11th grader and a Math HL student. I have chosen to model traffic flow using cellular automaton as the topic of my Math EE. However I am not sure how deep can I go and whether my topic is advanced enough to become an EE topic (my school's Math group teachers allowed me to do this topic, but I would like more opinions), because I still have a lot of things to learn about it. What's more, I have looked through some related essays, but I did not find many proves of mathematical theories. Most of them contain mainly words and graphs of cellular automaton, so I am not sure whether my topic contains enough mathematics theories and proves to write a Math EE. …
Last reply by BakeSodawater, 
 1 follower
 1 reply
 189 views
So, I wanted to do my IA on optimization, and so I immediately thought of a soda can, but that is too simple. How can I make this more complex? By maybe optimizing a coke bottle so it's not just optimizing a cylinder? Please help me, and if I were to do this, I'm not sure how... like somehow graphing that and then finding the area under the curve using integration? I'm really not sure
Last reply by Dunlop, 
 1 follower
 1 reply
 165 views
Hi all, I was wondering what you guys do for taking notes in math. Currently, I have a notebook where I take down lesson notes and then after class, I draw a line under and do practice questions from the textbook. I feel like this isnt the best organisation because my the working out for the textbook questions is really messy and that gets mixed up with the important notes. Any suggestions? Thanks!
Last reply by MayaJay, 
 2 followers
 1 reply
 427 views
Currently 4 for IB HL maths and I need a 6. I’m in my last year, is it possible, what is it that I need to do? I’m willing to put in my all but I’m a little worried.
Last reply by kw0573, 
 1 follower
 6 replies
 9.4k views
I am starting the IB in september and will be doing the Maths HL course. I have seen how one individual doing the Maths HL course struggled to find a topic. I would like to use the summer break to begin researching as I do not want to have to do most of the research later on as I know i will have other work to complete. I would like to do my Maths IA related to Poker or casino games such as the Roulette as it has always been something which I have been fascinated about. But something which allows me to use the required amount of HL Mathematics skills and knowledge. Any Suggestions? I would also like to ask, how is the Maths IA structured what must it contain? …
Last reply by Therew, 
 0 replies
 227 views
I am going to write my ia, but i can not come up with a good idea. I am thinking about torus; I found the volume of torus using triple integral and i wanted to maximaze the surface are, but smt went wrong. Do u have any thoughts?
Last reply by nikaaa, 
 1 follower
 1 reply
 266 views
Can anyone explain the difference between these two formulas? I am thinking of doing my math SL IA topic on time dilation so I need clear understanding on these. I know that one is the time dilation formula derived by using hyperbola and the other one is the famous time dilation formula, but I'm not sure how they are related to or different from each other. (I'm also not too sure how the first formula is derived since I don't have the knowledge from advanced algebra.)
Last reply by kw0573, 
 1 follower
 0 replies
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www.mrmacmaths.com/aanda  With handwritten notes, carefully planned to follow the IB syllabus, in just several pages per topic. It also has videos explaining concepts, and some exercises. Really good for getting organised, or if you just don't like how big and unorganised text books are.
Last reply by jwmcrb, 
 3 followers
 3 replies
 341 views
Basically what it says in the title. Context: my school grades on a 17 scale similar to ib but more harsh. School focuses on growth( gives predicted based on growth) but I don’t know if I can grow seeing as it just gets harder and harder. I get the concepts and the homework sets I can do. But come quiz come test, the difficulty of the problems seem to be on a different level (gone to teacher multiple times). I got a literal 2 on the test which if I were to state it as a percentage level I got a 12%. I need math aa hl for uni req and acted all high and mighty with my parents saying I like math(I do actually like calculus) but I have a parent teacher conference …
Last reply by MayaJay, 
 2 followers
 1 reply
 438 views
Can I prove Stokes' Theorem as my IA? I am taking math hl AA
Last reply by kw0573, 
 1 follower
 0 replies
 655 views
Hey, The rq for my math ia is finding the ideal volume and surface area of lifebuoy ring. By ideal, i meant where a person won't be slipping through it and he/she is able to fit though it. I know that oi need to find the formulas for surface are and volume of a torus. for personal engagement or doing something new, i thought why not find this ideal surface area and volume of lifebuoy ring. Could anyone suggest me how to proceed from here and is this rq enough unique enough for ib not to cut down the marks?
Last reply by SteveHolmes5775, 
 2 followers
 1 reply
 428 views
how are you guys studying ?? ;v;
Last reply by kw0573, 
 2 followers
 1 reply
 752 views
Hi I posted yesterday about my math ia, now I have another idea that im not sure of the math part of. I'm very much in panic mode which is why im jumping from topic to topic without really doing good research first. I'm scared I will spend too much time and find it to be too hard or too simple since I have very limited time. I was wondering if I could do a real life situation regarding optimization. It sounded simple at first but after a tiny bit of research I saw that it can get complex. For example, finding the best route for an airplane to achieve minimal time seemed like a good idea. I think it would include Graph Theory Algorithms as I saw but again im not …
Last reply by Chazee373, 
 2 followers
 1 reply
 521 views
Hello everyone😄 I decided to write math ia about BMI of women in different countries(especially countries which have really different kind of diets). Do you guys think it is appropriate for math HL ia? Also, I do not know which formula I should utilize to analyse topic... Pleaseeee help me😂 Thank you.
Last reply by Chazee373, 
 0 replies
 307 views
I'm doing a math IA on blackjack, and i have redone the probability chart that tells players what they should do in each move based on my probability calculations. My only issue is a still need to incorporate HL maths in there, and in probability the only thing the IB offers is Bayes theorem. How can I incorporate it in my work? I am open to any suggestion, even a large change in the whole work itself, I just need an angle to look at it where i can use the theorem.
Last reply by JohnnyDDD17,