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Found 142 results

  1. 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?
  2. 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 HL? If anyone has a recommendation on what I should investigate in the exploration, or on any changes I should make, feel free to tell me! Anyone who has done an exploration or IA on a similar topic, please comment too! Thank you!
  3. 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
  4. Hello, I have chosen to do my math exploration on Non-Euclidean 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
  5. 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
  6. Hi Everyone, I'm in the middle of IA season right now, and Maths has really got me in a pinch. I'm working on my exploration at the moment, and the topic that I have chosen is using linear regressions to predict the outcome of elections. The case specific case that I'll be using is the upcoming Spanish elections on the 10th of November, so that I can compare my results to the final ones. However, I don't really know how I can include exploration and not just proofs an theory. An idea I had was seeing how the timespan of the polls (when I begin taking data points and where I stop - so the length of time) can affect accuracy. But again I'm really confused by the whole idea of the IA in general. Does any one have any suggestions? Much appreciated, Lucas
  7. Hi! I am going to calculation the volume of the air in 330ml Coca Cola can for my Math IA ( I am in MATH HL). I am wondering whether if it shows personal engagement. How can I apply this knowledge more widely. The idea in my mind is there any ratio between the volume of the liquid and the air in the can. But honestly I am not sure if it would be creative or interesting enough. I am not sure what the IB is looking for in terms of the IA. The last question is ,what should i say in my introduction!
  8. 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!
  9. 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!
  10. 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?
  11. 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.
  12. 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.
  13. 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.
  14. 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...??
  15. 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?
  16. 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?
  17. ---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.
  18. 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!!!
  19. 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?
  20. 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
  21. 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?
  22. 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!!
  23. 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! ^^
  24. 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.
  25. 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!!
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