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Found 137 results

  1. 1Max1

    Math HL IA

    I started my IA on the topic of Graph Theory. I tried to find the shortest distance path to go around 10 cities in Europe using the Prim's and Dijkstra's Algorithm. I have submitted my IA, and my math teacher told me that it is too easy for Math HL. Is there any suggestion that I can do to increase the complexity of my IA? Thanks!
  2. mattmatt111

    Math IA on TSP

    Has anyone done their Math IA on TSP? I'm planning to do one and I plan on doing it to optimize a path for our school bus. How can I limit the number of nodes in a big road network? Maybe you could also share what you did for yours. Thanks!
  3. Hello, I am doing my Maths exploration on complex numbers and I am about half finished and I want to explore the trigonometric and hyperbolic functions of complex numbers as well as the integration (and possibly logs) however I don't quite know what to do with it. As I can find the cos of a complex number but what then? Roots can be shown on an Argand diagram but the trigonometric functions usually just give rise to triangles with legs longer than the hypotenuse and complex angles. Could anyone advise me on how to proceed?
  4. I have been trying to find any idea at all, I want to do it on Calculus. I have tried looking online for ideas but I never really know how to go about doing it on that topic. For example, I saw something on e but I could not think of what to do, the site mentioned that its infinite series contained both sine and cosine, but I couldn't see where I could take that. I appreciate any input or ideas, thank you.
  5. Daboss

    Math IA

    I am currently thinking about Math IA on the topic of graph theory, but I don't know what to choose from there. I would like to do Dijkstra's algorithm and would like to know whether it would be complex enough for HL. I am thinking about the question of geographical traversal and finding the shortest path from London to Moscow using roads and cruises to cross the sea.
  6. dundark

    My HL math exploration

    Hey guys, I'm thinking of doing my HL math IA on modelling the annual population growth rate of Germany, I thought that would be cool since it already gives me a personal motivation (I'm German). Do you think this is a suitable topic, if so , or if not, please give suggestions. Thanks guys.
  7. Barbra

    Math IA question

    Hi, I am going up to IB2 this year and have been working on my IA this summer. I have already decided what my IA is going to be about and the other day, I decided to ask my friend living in another different country, who has graduated this summer, what her IA was about and she did almost exactly the same thing. The topic was the same and the things that I was going to do was also really similar to what she has done already, like graphing and statistical testing. If I continue working on my IA with the same topic and not change what I am going to do, does this mean that I am breaking the academic honesty rules...??
  8. Hi, two days later, I need to confirm my math IA topic. I thought of measuring the accuracy of weather forecast. So I would be collecting data and use Bayes theorem (the probability to rain given it was forecasted, etc) as a means of checking the accuracy. Since my teacher said merely this might be basic, I thought of using Poisson distribution as well. I think I can use it in a way to see for how many days it offers the right forecast. But I was wondering if it sounds fine. Or do you recommend any other ways to improve this idea?
  9. Hello Everyone, I am writing an IA on math about the spread of disease in my country. I am little worried that the examiner that checks my IA might give me bad mark because of my choice. If he/she writes me bad mark for this what can i do?
  10. ---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​​​​​ Criterion A - Communication (to be added) Criterion B - Mathematical Presentation (to be added) Criterion C - Personal Engagement (to be added) Criterion D - Reflection (to be added) Criterion E - Use of Mathematics (SL Only) (to be added) Criterion E - Use of Mathematics (HL Only) (to be added) Sample Papers Postface and NotesPreface and Introduction to the Exploration The Mathematics SL/HL Exploration internal assesment. It is certainly a difficult assignment - a paper on math isn't the easiest thing to write. I've written this guide up to clarify a few questions and hopefully help out with your work. However, please don't just trust what I say do some of your own research as well because I cant hope to claim everything I say is entirely accurate. I hope this helps! In essence, this is an exploration of a topic in mathematics that has a real-world connection, done in a rigorous manner that connects back to the material we have covered and will cover in class. 6-12 pages in length should be appropriate enough to concisely explore your chosen topic with the depth required and complete the necessary parts of evaluation as shown in the rubric. You want to write at a level and regarding mathematics that is accessible to other students. For HL students, this generally means anything within the HL core curriculum and any option is fair game. Just be certain to provide requisite explanation for any material beyond those two areas and for options not covered in class, to the extent that your classmates can understand the work you've done with some thought. The Process <to be added> Formatting <to be added> Acceptable Topics (SL) <to be added> Acceptable Topics (HL) I've been asked a lot of questions about acceptable topics for the IA's mathematical focus. These acceptable topics are mainly focused towards fulfilling the part of Criterion E that requests "sophisticated mathematics commensurate with the level of the course" - more detail regarding the other aspects of this criterion can be found in the Grading and Evaluation section slightly later on. One guideline I've heard from a few sources is to choose something beyond the SL syllabus: a summary of those topics can be found slightly later in this section. Keep in mind you do not have to restrict yourself to these topics, and anything beyond is fine. Also, that a topic in the SL syllabus can be beneficial if done well - it's rather easy to do comparatively and can still net you a 7 on the IA. See the Florence Nightingale Sample IA. Finally, I'm not certain if all of these topics have sufficient levels of difficulty, or if there are any in the SL syllabus that would be acceptable this is simply based on the SL and HL syllabi. What follows is a list of the topics which are in the HL syllabus, but not the SL, to provide a guideline of all acceptable topics within the syllabus: Topic 1: Algebra 1.4: Proof by induction. 1.5: Complex numbers, the Cartesian form of a complex number. 1.6: Modulus-argument of polar form of an imaginary number and the complex plane. 1.7: Powers of complex numbers, nth roots of complex numbers, and de Moivre's theorem. 1.8: conjugate roots of polynomial equations with real coefficients. 1.9: Solutions of systems of linear equations. Topic 2: Functions and Equations 2.1: ONLY domain restriction for inverse functions as well as self-inverse functions. 2.2: The graphs of y=|f(x)| and y=f(|x|), the graph of y=(1/f(x)) given the graph of y=f(x). 2.5: Polynomial functions and their graphs, the factor and remainder theorems, the fundamental theorem of algebra. 2.6: Viete's theorem, or the sum and product of the roots of algebraic equations. 2.7: Solutions of g(x)>=f(x) by graphical or algebraic methods for polynomials up to degree 3. Topic 3: Circular Functions and Trigonometry 3.2: Definition of the reciprocal trigonometric functions sec(x), csc(x), and cot(x). The tangent-secant and cotangent-cosecant forms of the Pythagorean identity. 3.3: The tangent double angle identities, compound angle identities. 3.5: The inverse functions y=arcsin(x), y=arccos(x), y=arctan(x), and their domains, ranges, and graphs. Topic 4: Vectors 4.2: The properties of the scalar product of vectors. 4.4: Specifically intersecting and skew lines in distinguishing between coincident, parallel, intersecting, and skew lines. 4.5: Definition of the vector product of two vectors, properties of the vector product, and the geometric interpretation of the magnitude of the vector product. 4.6: Vector equation of a plane, use of normal vector to obtain a particular solution form, Cartesian equation of a plane. 4.7: Intersections of: a line with a plane, two planes, three planes. Angle between: a line and a plane, two planes. Topic 5: Statistics and Probability 5.4: Use of Bayes' theorem for a maximum of 3 events. 5.6: Poisson distribution. Topic 6: Calculus 6.2: Related rates of change, implicit differentiation, and the derivatives of the inverse trigonometric functions, the reciprocal trigonometric functions, the exponential function, and the logarithmic function 6.7: Integration by substitution, integration by parts. All material in all option topics. Grading and Evaluation You can find the grading scheme for this IA here: http://bit.ly/1iOdQl7. There are 5 criteriae: communication, mathematical presentation, personal engagement, reflection, and use of mathematics. To clarify a few terms used: Personal engagement refers to the intent of the investigation to develop your interest in the area, and its evaluated based on the visibility of your personal engagement in the area and your own individual expression of those ideas. Precise and correct are differentiated by the need of precise mathematics to include proper notation and completely accurate work whereas correct mathematics can contain some errors as long as these errors don't lead to egregious incorrectness. The criterions themselves are defined here in the markscheme. Criterion A - Communication <to be added> Criterion B - Mathematical Presentation <to be added> Criterion C - Personal Engagement <to be added> Criterion D - Reflection <to be added> Criterion E - Use of Mathematics [sL] <to be added> Criterion E - Use of Mathematics [HL] <to be added> Sample Papers Its difficult to understand and conceptualize what is expected without exploring some examples of strong work. So here are a couple example papers, to show you what other students have done in the past, how theyve been evaluated and annotations, the mark they received and grader comments, as well as a couple small notes of my own. Sectors, Arcs, Descriptive Statistics, and Florence Nightingale (Mark Achieved: 20/20 at SL, 17/20 at HL) Paper: http://bit.ly/18KcK5q Paper with Comments: http://bit.ly/1fFkYe2 Marks: http://bit.ly/1dBrz7z This one is a perfect example of the kind of work you want to be doing in your math IA - however, the level of mathematics isn't at a high enough level given that all mathematics used is within the Math SL curriculum. Differential Equations and Modeling Rain. (Mark Achieved: 16/20 at SL, 15/20 at HL) Paper: http://bit.ly/1c491Oi Paper With Comments: http://bit.ly/19KUPKw Marks: http://bit.ly/1d6PSMD This paper has many errors in notation, it is not concise in form, the reflection is not critical, examples are not quite sufficient, and the mathematics is not precise. However, the mathematics is certainly at the level required. Very strong work in general, just missing that final layer of polish. Postface and Notes I hope I've been able to help out with this guide. Please let me know if you find any issues or inaccuracies or if you still have questions after reading through this. Good luck with your IA! Sourcing Notes: A good deal of these links and some of the information was retrieved from M. Chao's blog, which can be found here: http://bit.ly/K12vhF. It was quite useful to me in doing my own research.The IB Mathematics IA website was very useful to me: it can be found here: http://bit.ly/JbK1e4.The SL and HL Mathematics IB Course Guides were useful to me, especially in the analysis of acceptable topics and criterion E. They can be found at http://bit.ly/1eJQ08k and http://bit.ly/19oDBik, respectively. Revision History: December 24, 2013: Guide first posted.December 25, 2013: Differences between SL and HL syllabus (Acceptable Topics) added. Formatting improvedDecember 27, 2013: Added skeleton for remainder of guide. Added table of contents. WIP: Grading and Evaluation section for all criterions. Reorganized guide.January 3, 2014: Proofread and edit.January 07, 2014: Generalized guide to include the SL exploration as well. To Do List: Improve formatting further.Flesh out postface.Examine criterions in depth.Discuss formatting of IA and how best to write it.Add mistakes section.Add SL criteriae."SL-ize" the guide.Discuss the draft submission and teacher feedback process as well as the extent to which your teacher can help.
  11. Ram_A

    Maths Hl IA HELP!!!

    Hi, I need some help in finding a good Maths HL IA topic. For the past few weeks I have been looking for a good Maths Hl exploration related to discrete maths however I failed to find one good one. Some of the things I looked at were the Chinese postman problem, the four color theorem and Travelling salesman problem, however the problem with these is that, I don’t think there is enough content to write 10 pages on them. I would really appreciate if someone could suggest some topic or even some areas that I could look at for Maths Hl IA, preferably related to discrete maths. Thank you very much!!!
  12. So I've been trying to find a topic for my IA but my teacher keeps recommending me to find something new because he says my problems are too unoriginal and seem taken out of textbooks or stuff like that. The thing is seeing the examples and the marks they got it doesn't seem like you have to be completely original to get good marks, so I'm a bit confused. Originally I wanted to do something with a torus, examining the universe being a torus shape and stuff, but I did realize that perhaps that was too overdone so I tried to find other ideas. For example, say I found the distances between several points on the earth using spherical geometry, and then after I have all the distances I optimize a route that goes through all the points at least once. The personal engagement part would come from the fact that these points on the Earth are certain places that mean something to me and I want to find the connection between all of them. So does this sound too simple and "textbook-like"? I know the second part would be similar to the chinese postman problem, but I feel like it would be fine because I'm doing it with my own places and distances which I found by myself, but I'm still not sure. What do you think?
  13. I need help in my exploration topic I decided to do it on Newton's Law of Cooling, but i cant find anything new to do in it so that i can show my understanding of maths if you have any idea on how to do that can you tell me ASAP please help
  14. evelynrose

    Reuse EE as Maths IA

    Hi everyone! I have written my EE in maths, and am predicted a B (for first draft). I really want an A and I don't feel like I can get that within my topic... Time aside, can I use my EE as my IA? Or will it be too formal?
  15. rlaehddo

    Math HL IA Help

    Hi, I am trying to come up with a topic for HL math. I wanted to do something on calculating the area of revolution of irregular shapes. At first I was thinking to get the area of revolution of different water bottles I have at home (since I am a coffee person, I have a lot of starbucks thermos). I thought it was a good start, but I need an extension (the actual exploration) and I need help in coming up with this. I wanted to do the surface area of the thermos through the revolution, but that would end up being too similar to the IA from a student in the previous year and I know my teacher would make me come up with another idea or do it again. I really need a lot of help and the deadline for our topic ideas are due really soon and I can't think of any ideas that I can earn points in the use of mathematics. Please help me!!
  16. Limau from Malaysia

    MATHS IA HELP

    May I know if my research question can be accepted? I want to use calculus to mod out an object suited for 3D printing (in my case, a christmas tree). I am planning to use Geogebra and Blender to make the model, and then list out the equations and integrations... So yeah if that comes out as planned will it be accepted as a HL IA? Please leave some comments or advices >< thanks! ^^
  17. My exploration is on modeling happiness (I know, pretty different ) by exploring from various aspects, e.g. economics, psychology, statistics, probability, etc. Does anyone have any idea towards this topic or know any similar past explorations? Any thought is welcomed.
  18. LolzDoingIB

    Maths IA Help

    Hey guys I am a Maths HL student, and recently i came up with an idea to do my Maths IA on, comparing two ways of solving Trig equations. One of the ways of solving Trig equations, is by using the trig identities and the other way is by using the De Moivre's theorem. I was wondering if I could explain these 2 ways and different ways and i could somehow come to a conclusion on which way is better (i.e. by counting number of step required to arrive at the general solution) for what type of trig equation I understand both methods quite well since I watched the Khan Academy Videos on them!! But I was wondering if this sort of idea was fine for a Maths HL IA. Any help would be appreciated!!
  19. I am doing my IA on area under parametric curves. In that, I'm doing area under the butterfly curve but I can't find the area under the curve.. any idea on how to do it?
  20. eleventhfromheaven

    I need HL Math IA help!

    Sorry, I had to use an image converter to post this because the forum wouldn't let me use a certain image extension.
  21. I'm finally starting to come down to what I think my topic for my maths IA will be, but I need a little bit more. I'm looking at moments of inertia, potentially to calculate the moment of inertia felt by the propellers on a quadcopter I'm building. I'm not sure if the mathematics are "higher level" since I still have to learn quite a bit about moments of inertia, so I don't exactly know what mathematics (other than integral calculus) I would be using. So, is this topic a good start? How should I start developing it to get a focused research question for my IA? Thanks for any help!
  22. Hey Everyone, New to this site, so bear with me! I'm doing my Math HL IA on the Ramsey Theorem (a part of the set theory) and applying it, to prove the Party Problem. What I'm unsure about is the fact that our IA needs to be 'concise and coherent', but the theorem itself is such that it requires description to prove it. Will that maybe reduce my chances of scoring well? Thanks in Advance. xx
  23. Preface: I realize this wall of text is unatractive, so if anyone wants to answer without reading my gratuitous commentary, I've bolded and separated the main questions I'm hoping to have answered, and italicized what I felt was semi-important and clarifying. I realize that these threads might be very common, however I've been having trouble finding what I need. I've looked over several materials for the mathematics internal assessment, official and unofficial, including the guide on this forum, but cannot figure it out for myself. My first question is: What is the goal of the Internal Assessment in Mathematics? At its most basic level, what is the goal? What am I trying to do with my IA? I've seen it called an investigation, but that doesn't do it for me. I'm having trouble trying to pick a topic, but I don't have any idea what I would even do with a topic once I choose one. "Explore" it? How so? Place out a bunch of mathematical calculations on a page and explain them? My second question is: What is "commensurate" with the level of my course? I've been told that I should be avoiding core altogether, and going for "out-of-syllabus" mathematics for a Higher Level IA, and frankly I would love to learn a new mathematical concept for this investigation, but I'm having a fair bit of trouble trying to figure out what topic I'll use, which brings me to my final question. My final question is: How do I choose an IA topic? For a couple of days now I've just been going around from forum to forum, website to website, looking at other people's questions requesting IA topics, trying to learn new mathematical concepts, but I haven't been able to follow through on any of them, perhaps because I don't yet know what I'll be doing with them. I've looked at things like: Fourier's SeriesFast Fourier's TransformsNon-Standard AnalysisDifferential GeometryC*-AlgebrasLaw of Large NumbersDifferential EquationsSpecial Relativity (not mathematical topic, but uses math)Are any of these topics suitable for a Higher Level mathematical investgiation? With the exception of Special Relativity, my list consists of manily raw mathematical concepts that encompass a large amount of knowledge. What do I need to add to these in order to start working towards a research question/focus for my IA? How would I develop these topics into suitable IA focuses? Thanks for any and all help!
  24. I'm a Math HL student and I'm not really that strong in this class so I'm finding this exploration quite difficult and I'm struggling really hard. Each time I choose a topic for my math exploration, I'm either told or I find out that it's too simple for the level of a Math HL student. My current topic is the SIR model but I can't find data values for the parameters and I don't know how to make it more 'HL'. I've decided to change my topic and discuss 'The square root of 2'. Would this be too simple?? If it is, what other mathematical concepts can I discuss to make it the level of HL. I've also been thing of something in calculus but I'm not sure what to focus on? PLEASEEEE HELP. I just really need to find a topic that is of HL standard because that is my main problem. THANK YOU!!!
  25. Hi guys! I didn't want to focus my IA on a really common topic, so related to my ITGS EE I came up with the idea of elliptic curve cryptography. Although I can develop this topic a lot in an exploratory basis, I don't know how to set the main aim of the IA (which could be, for example, a demonstration of some theorem or the elaboration of a system, both based on ECC). Any ideas? Thank you a lot!
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