Maths HL & Further
For HL and Further Maths discussions
1,144 topics in this forum

HL Textbooks 1 2 3 4 6
by chokophilia 112 replies
 52.3k 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, 
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 12 replies
 91.9k 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
 36.2k 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
 13.3k 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
 11.5k 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
 13.6k 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
 4 replies
 145 views
Hi! I am looking for a topic for mi math IA, but I am worried that my topic is not enough for the subject to get a high grade. My question to develop until know is measuring the effectiveness of a bull's genetic in a cattle flock regarding changing weight in animals, using normal distribution and then by the use of expected value calculate the probability of having a certain genetic characteristic.
Last reply by Mick123, 
 2 followers
 1 reply
 113 views
I want to do mathematic in music and I found that Fourier is basically the only HL option, any recommended scientific work I can use? Any other HL topics for maths in music?
Last reply by MathEEmoment, 
 1 follower
 0 replies
 85 views
Hi all! I have proposed multiple IA topics to my teacher and he rejected all of them I want me topic to deal with calculus. Any tips or ideas on what I could choose my topic on. Thank you
Last reply by Athenaloveslemon, 
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 3 replies
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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 King2, 
 3 followers
 2 replies
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I've gotten to the stage where I need to write my IA in Maths AA HL. When it came to brainstorming I had an idea that I ended up pursuing in my Extended Essay (pathfinding algorithms) so I was left with nothing for the IA. I started researching pseudorandomness and a mathematical approach to it but it seems to me I bit off more than I can chew. There are ideas of recursions, sums and normal numbers but I don't really see how I could apply it to this format. For example, there is a function which was proved as a way to generate normal numbers which can, in turn, be used to randomly generate numbers but would I have to prove it myself in the paper? H…
Last reply by Connon80Berry, 
 1 follower
 1 reply
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Hi, this is my first time doing an IA of any sort because I just moved from Texas to Florida for my senior year and I’m at an IB school. Apparently they have been working on the Math HL IA for a year already and I just started. It’s due in 3 days and I just need help trying to get a topic so I can do this. I was thinking about something to do with the probabilities in poker/gambling but idk if that will have enough content. Please help kinda screwed here.
Last reply by Lea21, 
 2 followers
 0 replies
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Hey! I took my IB exams in May 2021 and I got a 7 in Maths AA SL. Next year, in May 2022 (or if it isn't possible, in 2023), I would like to take the exam in Maths HL. Is it possible to study the lacking content in less than a year now? And could I send the same IA? I know it would be marked worse, but probably only a few points for the 'Mathematics' criterium since it would not have HL content, right?
Last reply by ChocolateAndVanilla, 
 5 followers
 17 replies
 2.7k 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 IB4life, 
 1 follower
 0 replies
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So I have this idea for a Math IA but I've already completed mine so it's kind of useless for me. A statistical exploration on the amount of time required for IAs. For example, the ESS IA "requires" 10 hours of instruction + work time. Math IAs "require" 30 hours of instruction + work time. Obviously ask your seniors and you KNOW it doesn't work like that. I've probably spent 100+ hours on each IA. The way this can be carried out is like you ask alumni from your school and other school, or even ibsurvival, how long it approximately took them to complete a named IA, along with the grade. You don't need anyone's name and stuff, just the subject, time, and grade. Then m…
Last reply by ZBSA, 
 1 follower
 12 replies
 13.4k 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 franksullivan, 
 3 followers
 10 replies
 7k 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 maskofmadness, 
 0 replies
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Hi. I am currently trying to write my math IA and am having some troubles with it😔. My topic is on the effects of Covid 19 on the world population and how long this pandemic will last. I was planning on using the SIR model but now I am not entirely sure as a friend from another class who is also looking at Covid 19 mentioned that SIR model might not be a good model to use as it does not take into consideration some of the changing situations. But my own teacher said that it is fine to use that model. As of now, I have more or less written out the formulas and explained how the formulas are used but I don't know what to do from there. Can someone please advice m…
Last reply by EnLim, 
 1 follower
 0 replies
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Hello All, Just want your thoughts on the IA topic  "How far the popular claim that all things from architecture to paintings is based on golden ratio?"  and I want to refute the claim that Monalisa, last supper and roman architecture may not really be based on Golden Ratio. How do you think this topic is? I was thinking of picking up really good papers and see how they arrived at. And then propose my "thoughts" where they went wrong. Is this a good HL topic? Please let me know.
Last reply by AnjaliSimran, 
 3 followers
 2 replies
 428 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
 274 views
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
 496 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
 332 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
 1.5k 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
 1 reply
 159 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
 215 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
 395 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
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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, 
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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
 202 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
 15.7k 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, 
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 0 replies
 152 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, 
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 0 replies
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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, 
 1 follower
 0 replies
 153 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
 232 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, 
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 3 replies
 3.4k 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
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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
 266 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
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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, 
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
 4.9k 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 followers
 1 reply
 354 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
 4.1k 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
 514 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, 
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 3 replies
 1.6k 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, 
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 1 reply
 233 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
 216 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
 527 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, 
 0 replies
 264 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
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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,