Maths HL & Further
For HL and Further Maths discussions
1,155 topics in this forum

HL Textbooks 1 2 3 4 6
by chokophilia 112 replies
 53.8k 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
 92.5k 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
 37.6k 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
 13.8k 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
 13.7k 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, 
 1 follower
 1 reply
 119 views
I'm currently gathering data for my Math IA. My survey is anonymous and only contains two questions about your GPA and Wordle score. If you get the chance to fill it out or send it to your Wordle playing friends, that would be amazing! Thanks everyone. https://docs.google.com/forms/d/e/1FAIpQLSeFQrsejTs4bk7PhDaq8wxMmT2LeeWp5hB6nSIo2ls8NNFoEA/viewform
Last reply by MathEEmoment, 
 3 followers
 8 replies
 415 views
I graduated IB in 2018 and studied Math HL with discrete math as my option. I also wrote my EE in mathematics / physics and received an A. I'm currently studying programming / computer science and game design. I replied to a post a few years ago about writing Math IAs where I gave some advice and talked about my paper and a lot of people requested copies of my IA for reference. I've heard that with the covid situation and online learning a lot of people are facing some challenges with their research and are doing explorations based on previous students' work etc. With that in mind I thought I would make a post offering to share some of my resources and advice based o…
Last reply by MathEEmoment, 
 1 follower
 0 replies
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Hey guys, I was wondering if someone who has a revision village account can share the predicted exam papers for May 2022. It would be a great help!!! Good luck with exams everyone!
Last reply by Henakh, 
 20 replies
 5k views
hi..may i just ask you something...i dont know your question but i do my IB first year...is it hard the Maths HL exam?
Last reply by Achilleus, 
 2 followers
 1 reply
 122 views
Hi, I am interested in finance, and was thinking about doing a math ia on pricing derivatives. Anyone think it is a good idea of do an entire paper on the blackscholes model? If anyone is doing a finance topic for their math ia as well, do you mind sharing with me, please? I am seriously stuck... Thank you so much!  Lucy
Last reply by MathEEmoment, 
 3 followers
 3 replies
 181 views
Do you have any idea where I can get test preparation for free (with solutions) for differentiation and integration for IB Math HL? Because I am so close to losing my mind 💀
Last reply by DowntownAbbeyyyy, 
 8 followers
 20 replies
 4.3k 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 Renzen, 
 1 follower
 0 replies
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I'm trying to research on the math behind flute tune holes but i'm not sure if this topic is ok. I'm planning to do some like this: https://www.chrysalisfoundation.org/musicalmathematicspages/flutetoneholes/ Can anyone pls help me??? I only have 2 days left to complete this ia
Last reply by Nellie, 
 2 followers
 1 reply
 130 views
Hay guys im doing my math IA on a population growth and i need help
Last reply by MathEEmoment, 
 1 follower
 2 replies
 1.7k views
Hi guys, I was having a lot of trouble picking a topic for my IA, because from what I know we have to pick a topic that goes beyond the syllabus? So my teacher suggested the topic of Safe and Effective Medication Dosage (Calculus Modelling). It's great because she'll definitely like it, but would the IB? I've been able to find a lot of papers on the topic  she got it from a different program's Calculus book so, yeah, it's fairly wellknown  so I don't know if that would make it less impressive. I'm also not sure whether the topic would let me go indepth enough. It seems simple if I take it just on a basis of dosages, time between them, and time for medicine …
Last reply by baguettelover1, 
 1 follower
 1 reply
 677 views
Hi Im horribly stuck on my math ia. I procrastinated a lot and now only have a week to send in my first draft. I can’t choose a topic. I saw the topic finding the length of a curved road which seems fairly simple. I might have to go with it but im not sure if it is enough for math hl. Other than this I thought of fractals but seemed too theoretical, I want to have a specific real life situation to work on. Does anyone have ideas? All help appreciated, I really need it.
Last reply by HaaZ, 
 1 follower
 0 replies
 161 views
Hello, My teacher has just recently told me and my class about the Math IA. I'm wondering if these following two topics I have come up with would be viable for a possible Math IA, or if I should change course and choose a different topic: Correlation IA on the number of human cannibalism cases (from 1900s to present day) and the presence of environmental stressors (environmental stressors are defined as events or things in the surrounding environment that cause stress; for example, lack of food and clean water, physical and mental ailments, etc.) Logarithmic IA on the number of rats and the spread of plague/number of disease cases. My teacher s…
Last reply by SAzhar, 
 0 replies
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A 5foottall person is walking towards a 7foottall lamppost at a uniform rate of 2 feet per second. Find how fast the subtended angle of the lamppost from the person is increasing when the person is horizontally 1 foot from the lamppost. Assume the eye level of the person to be also 5 feet for simpler analysis.
Last reply by Jacccgyr, 
 3 followers
 4 replies
 151 views
Dear all, For my maths IA I have derived my own mathematical proof of Rothe's formulas for the generation of involution numbers. I did not seem to find any such proofs online, I only found the formulas themselves; I came up with a method for both the summation formula and the recurrence relation, however I am also planning on extending this to applications in group theory and coming up with the exponential generating function. Does anyone know if I would be able to publish this in some small journal? I got the green light in terms of copyright. Thank you!
Last reply by MathEEmoment, 
 1 follower
 0 replies
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I'm looking to write an IB Math HL AA IA (Exploration) related to Probabilistic Language Models (like predicting future words with ngrams) or anything related to linguistics. I'm having trouble picking a topic though that will have the correct mathematical rigor and sophistication and are able to be structured like an IA. Are there any topics within the field that could make a good IA question that I could research? Thank you so much!
Last reply by ibmathperson, 
 3 followers
 2 replies
 491 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 Zaynn, 
 3 followers
 3 replies
 323 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 faten, 
 2 followers
 1 reply
 209 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
 226 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, 
 1 follower
 3 replies
 4.5k 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 King2, 
 3 followers
 2 replies
 256 views
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
 285 views
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
 208 views
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, 
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 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, 
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 12 replies
 14.2k 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, 
 2 followers
 9 replies
 7.8k 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 maskofmadness, 
 0 replies
 205 views
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
 136 views
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, 
 2 followers
 2 replies
 776 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
 2.3k 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
 529 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
 1.8k 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
 267 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
 404 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, 
 4 followers
 5 replies
 510 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, 
 0 replies
 257 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, 
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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, 
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 0 replies
 280 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, 
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 7 replies
 17.2k 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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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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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, 
 0 replies
 218 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, 
 0 replies
 307 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, 
 3 replies
 3.7k 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,