Maths HL & Further
For HL and Further Maths discussions
1,107 topics in this forum

HL Textbooks 1 2 3 4 6
by chokophilia 112 replies
 48.6k 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, 
 12 replies
 89.8k 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
 33.1k 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
 12.4k 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
 11.1k 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
 13.3k 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, 
 2 followers
 1 reply
 312 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
 79 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, 
 2 followers
 9 replies
 5.9k 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 yoouikd, 
 0 replies
 114 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, 
 1 follower
 0 replies
 140 views
i am struggling with math internal, i was thinking of doing the math behind the leaning tower of pisa, but i dont know how to apply a bit complicated math. Any suggestions?
Last reply by Amal1002, 
 3 replies
 1.7k views
Hello, Unfortunately I found out that the topic I chose to do the math (HL) exploration in, didn't work, therefore I started a new one. It's about the the great pyramid. A lot of historians assume that the built of the great pyramid took only 20 years. I don't really believe that. So actually in my exploration I'm trying to prove that it was possible to build such a masterpiece in 20 years If I'm able to prove that, then it might really taken 20 years. But if my calculations reach 100 years for example, then I would have disproven the assumption. My problem is I want to include difficult math in my exploration, but I don't really know, which topics I may include...…
Last reply by Neelmg, 
 0 replies
 197 views
I want to do my IA on calculus or differential equations but any idea i have (e.g. Game theory, SIR modelling) is too simple for AA HL and i want to score full on exploration. I did consider Riemann Hypothesis but it seems like differential equations score well, and I'm a mediocre HL student. Anything about differential equations that lies within the scope of math AA HL?
Last reply by Mehu, 
 2 followers
 1 reply
 182 views
Hi guys. I am currently considering doing a maths IA that involves logarithmic regression. Whilst I understand that a logarithmic regression line can be worked out by plugging it into a GDC (like the ones my school uses), will we still be awarded for calculating it by hand, using formulae stepbystep, rather than letting the calculator do it all for us?
Last reply by cookies340, 
 1 follower
 0 replies
 254 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 slowlydying, 
 1 follower
 0 replies
 238 views
I'm doing my maths IA on queuing theory, I was wondering if anyone had any examples of maths ias on the topic. Additionally, I was wondering what I could do to make the maths as complex as possible.
Last reply by Marsh, 
 2 followers
 5 replies
 7.7k 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 LeslyDolson, 
 1 follower
 0 replies
 346 views
I have been wondering quite lately when I switched from a petrol car engine to a diesel car engine that it is much more fuelefficient, I have a math project coming up and I wanted to take this into the further investigation, therefore, do my own measurements and modeling to compare the fuel efficiency in both cars. There will be a rate of change in the mpg when accelerating in the highway but also in the city(in other words there maybe calculus involved?), so is it a good topic to take into investigation? does it have a sufficient amount of math? and if you have some sources about this particular topic please let me know. Thanks a lot!!!
Last reply by Mohammed__Kamal, 
 1 follower
 1 reply
 472 views
Hello everyone, My IA outline is due in 3 days but now after I realized that my topic requires calculus and integration which I have never done in my life. Do you think I can manage otherwise do you have any recommendation for a topic that has good math involved for an HL student and insist with cars because cars are interesting to me. Please help I don't know what to do!!!!
Last reply by bluecherrytomato, 
 0 replies
 474 views
I have made many research looking for something involving cars and calculus. First I had something involving Navier stokes equation but my supervisor said it was really hard and I had to avoid it. But then I don't seem finding anything involving super cars and calculus. I wanted to do something with launch control in a car and how could it help a car at the start of a race to avoid burnout but don't know if there is calculus? I also wanted to talk about Bernoulli's principle and how a wing could help drag but again do not know if the calculus involved is sufficient? Then I thought about picking planes(isn't as much interesting to me) "the optimal angle and accel…
Last reply by Mohammed__Kamal, 
 0 replies
 451 views
I'm doing my math HL IA on GPS but I need help with ideas of what I can do?
Last reply by SelimHani, 
 0 replies
 472 views
Hello everyone, I have made some research on a math topic that involves calculus and cars. I was interested in talking about aerodynamics which involved Navier Stokes equation and after asking my supervisor, I came into conclusion that it will be very hard topic. Now I've been looking for a topic involving cars and calculus but I don't seem to find a good one for a math HL student, it will be very helpful if any of you gave me a good topic. Thanks a lot.
Last reply by Mohammed__Kamal, 
 4 replies
 700 views
Hello. I need help on searching for my math IA. I want to do the area of ellipse on the sattelite orbit. Can I have your opinion about it? Or give any better idea?
Last reply by Amirah, 
 3 replies
 501 views
Using the Tsoliokovsky rocket equation to calculate the mass needed to get from Earth to Mars and back. Is this a dumb idea? Is it deep enough for a HL IA? Any tips?
Last reply by MountEETOKIA, 
 1 reply
 829 views
Hey all, I've been in a lot of stress trying to find a math HL IA topic. One that I've thought of concerns using calculus in medicine to do something relating to blood flow using poiseuille's law; however, I don't know what I can do or investigate. I'm truly lost and any help would be appreciated . I got inspiration from the blood flow portion of this Prezi:https://prezi.com/z56alvfoyncf/calculusapplicationstobiologyandmedicine/ Another topic I thought of involves using various tumor growth models/equations to determine the best model as demonstrated here:http://f18.middlebury.edu/MATH0225A/Projects/Chapter%202%20Projects/Cancer%20Growth.pdf. However,…
Last reply by MountEETOKIA, 
 1 reply
 706 views
Im a hl maths student and i wanted to do my maths IA on a topic related to calculus as that was the option that my school choosed. And i came across optimisation of packagings. However ive seen that many people simply use the differentiation method to find the optimum surface area of the cans or products they are investigating. Hence to make it more complex i would want to use a unconventional theory or equation such as the brachistrone theory to find the optimum surface area of a can. Is it possible are there any other theories that i can use? and should i find the optimisation of a can or are there other things that i can find the optimisation of? or is this too simple,…
Last reply by MountEETOKIA, 
 1 reply
 639 views
Writing my math IA and I want to do something with earthquakes, but I have no idea where to start. I’ve been thinking about maybe doing epicenters or the Richter scale but I can’t find a solid way to incorporate them. If anyone has any ideas please reply!
Last reply by MountEETOKIA, 
 1 reply
 609 views
Hey, I am currently in the process of searching for a maths IA topic. One of the ideas I came up with was to do something concerning Coronavirus. There is a lot of data on that and maths to do (i think). Do you think it's a good idea? Or will everyone do their IA's on coronavirus this year? Would that be a trap?
Last reply by MountEETOKIA, 
 1 reply
 502 views
Hello I am really struggling with simply finding a good topic for my math IA that is at HL level. I was thinking of modeling the spread of gossip as a different approach to modeling the spread of disease but still using the same mathematics. However, I don't know if its going to work and am open to any ideas. Thanks in advance!
Last reply by MountEETOKIA, 
 1 reply
 563 views
does anyone have an idea for a math ia (math hl)? thinking of doing something with complex numbers or anything algebraic.
Last reply by MountEETOKIA, 
 16 replies
 1.2k views
Hi, I was wondering if it would be possible to change "tiers" in IB subjects at the beginning of year 12 knowing you find, lets say, SL maths easy and this is evident in assessments taken. Would it be possible to change to HL maths?
Last reply by MarialenaZ, 
 13 replies
 16k views
Hey guys! I was looking around for textbooks for HL Math and I was wondering which one of the four I should buy? 1. Pearson http://www.amazon.co.uk/PearsonBaccalaureateMathematicsDiplomaInternational/dp/0435074962/ref=dp_ob_title_bk/27570644128084468 2. IBID http://www.ibid.com....097_mathematics 3. This textbook by Peter Smythe http://www.amazon.co...s/dp/1490915710 4. Oxford http://www.amazon.co...e/dp/0199129347 Any input will be appreciated! Thanks!
Last reply by fjooiks, 
 1 reply
 563 views
hi, im having trouble with question 'c'. i found the position vector of the equation but i cant find its direction vector. anyone has any idea how to do it?
Last reply by kw0573, 
 0 replies
 538 views
Hello people, so I am writing my math HL ia on the option discrete mathematics. More specifically on graph theory, and the traveling salesman problem. Does anyone know of any useful algorithms I could use in order to find the most efficient route between different points in the map. I just need the algorithm, everything else is ok. Would really appreciate the help, since the one I was going to use seems to have been taken down from the web. Anyways, thanks
Last reply by spanishdude6, 
 1 reply
 497 views
Hello, can anyone share some experiences about doing Mathematics HL exam? I mean the experiences in terms of the tips, like time distribution and techniques of answering the question. I always feel 2 hours is an extremely hectic period for me. Does anyone have any advice?
Last reply by kw0573, 
 0 replies
 472 views
So for my Math IA, I'm looking at the relationship of the height hyperbolic paraboloids (the pringles shape) and the stress on the structure. At this point, I have the data I need to graph this relationship, but now I don't know how to incorporate HL math into this. I want to include integrals in any way possible, either 2d or 3d. Any suggestions would help so much.
Last reply by Abd247, 
 0 replies
 392 views
So for my Math IA, I'm looking at the relationship of the height hyperbolic paraboloids (the pringles shape) and the stress on the structure. At this point, I have the data I need to graph this relationship, but now I don't know how to incorporate HL math into this. Any suggestions would help so much.
Last reply by Abd247, 
 1 reply
 503 views
I am taking math HL and want to write an IA about game theory I have to submit it in 4 days. I can't find any topic "mathematical" enough. Help!
Last reply by Marcellamae, 
 0 replies
 474 views
I have to have my IA topic picked out as soon as possible, and one topic that I came up with was finding the relationship between the height of a hyperbolic paraboloid (as a roof) and the weight it can withstand. I will personally engage in this topic by 3d printing different heights and testing them out myself. I was wonder what HL math could be used in this topic, what I have so far is functions (partial derivatives: used in the background information in stress formulas to explain why the hyperbolic paraboloid is a good roof), statistical tests (to find relationships). Any help whatsoever would be appreciated.
Last reply by Abd247, 
 0 replies
 416 views
So far for my math IA, I've come up with the following: I will research individual countries' economic and weather conditions. Using personally made formulas to calculate a weather score and economic score for the countries, I will pinpoint which roof is best for that country, then I will test out the top few picks by 3d printing them and testing them with weights and etc, and find the best overall roof. Basically I have no idea how I'll do this and I don't know the HL math that will be used in this process, and I'm wondering if I'm overcomplicating it.
Last reply by Abd247, 
 0 replies
 402 views
I am currently struggling with the conclusion part where i can talk about significance of the investigation, and considering limitations and improvements math hl ia 3rd draft  not final.docx
Last reply by lilyserbest, 
 0 replies
 408 views
Hey guys I really need some help with my math ia topic. So my idea is to model something basic with resonance using differential equations and then see how closely real life reflects that. Like a child on a swing, wind on waves etc... simple experiments for resonance in springs for example, then do an experiment and compare results to try to understand behaviour. Could be connected to suspension in the bridge. Then try to apply that to the collapse of tacoma bridge if it is feasible. At the moment my teacher said the idea is fine but it seemed to be more of a physics topic? Also I'm not sure whether my approach is correct. Any advices will be appreciated. Cheers…
Last reply by stephxu, 
 3 replies
 4.8k views
Hello, I have chosen to do my math exploration on NonEuclidean Geometry but i have a hard time finding a specific topic to explore. I would love some help and ideas of problems i could solve. i have thought of showing that the earth is round and also doing something with GPS signals. I am really lost, i just need a path to follow. Thank you
Last reply by esta24, 
 2 replies
 380 views
Hi, I was planning on writing my exploration on Fourier Series and its application in music, specifically maybe showing the function of the overtones?? idk because I can't seem to find any good source that would examine this and although I see the link between these topic, I still do not see really the way it intertwines and my deadline for the first draft is in 2 days:) did anyone do their exploration on similar topic? is it doable? are Fourier Series even doable for math ia? please help me
Last reply by gbrsx, 
 10 replies
 10.6k 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 Rocky_2704, 
 1 reply
 455 views
Hi everyone, I need help!! So I have to submit my first draft for MathsAA IA soon and Ive been thinking about this. My idea is to model a queue behaviour at a service counter like at a government counter or banks. So basically how many counters should be opened to meet a certain maximum queuing time for each customer? Please give some advice and tell me what mathematical concepts you think is the best I'd appreciate it a whole lottt
Last reply by sassycorn, 
 1 reply
 440 views
I have a question concerning criterion D, reflection. So, in the N14 subject report they state that "reflection needs to take place throughout the exploration, through candidates isolating themselves from the problem, to see it from another point of view and to analyze its limits...", now what do they mean when they say that we should analyze the limits of the problem? I get that we should reflect and evaluate our approach and recognize limits such as assumptions but what’s this all about? Furthermore, in the N15 subject report it is stated that “critical reflection has a metacognitive aspect to it that involves isolating a problem, looking at it from different perspectiv…
Last reply by kw0573, 
 2 replies
 364 views
Hi, I am looking to do my maths IA on spinning tops and analyzing which one is superior in terms of their moment of inertias? Is this a good maths IA for higher level?
Last reply by Enterbot3, 
 2 replies
 5.5k views
Hi everyone, This is probably my second topic on IB Exploration HL, but I have finally chosen a topic which I find interesting and fun to investigate. I am investigation the Gabriel's Horn Paradox and the limitations to it (why it isn't technically that much of a paradox). I wanted to ask you guys if you know about this paradox? If you do, what limitations do you see to this paradox? I have read about it being a special case, like harmonic series. Can't really understand that! If anyone could help out... http://en.wikipedia.org/wiki/Gabriel%27s_Horn#Apparent_paradox Furthermore, what should I include in the exploration? Should I start by actually showing proof of the par…
Last reply by 8ashoo3, 
 10 replies
 1.6k views
Finally found an IA Topic after weeks of researching. Planned to do something on queuing theory. Read through it and understood that it's mainly calculation with arrival rate, time to wait before reaching the end of queue etc. (Correct me if I'm wrong). I'm just not sure how an IA is supposed to look like when applying queue theory. Choose a situation and start investigating the values? Is it just that? Is there suppose to be more to it than just calculations. Just felt quite sceptical and had to ask. Anyone out there who has done queuing theory before is kind enough to share with me your experience or even example IAs? And also any other tips to find…
Last reply by BudyH,