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Found 13 results

  1. I am am work on my mathematics extended essay, and I want to do it on: 1. Coming up with a general formula for the volume of the five Platonic Solids (I need to know from other mathematics higher level students if this is two simple). 2. The proof(s) for Euler's polyhedron formula. 3. The Travelling Salesman Problem (not sure how much math is involved as opposed to computer science). I am most interested in the first but willing to drop it if it is too simple. I am also open to suggestions of other interesting topics in geometry (the subject I have the most interest in). I want to get some work done before the summer break ends in about 4 weeks, so I could really use some advice (especially considering my adviser has gone incognito).
  2. So I have been in the IB Program since kindergarten and now I am in 9th grade at the IB High School and they kick people out but I have seen the seniors class of 2018 most of them have and hair grades below an 80 in Mississippi you must maintain in 80 or above in IB. I have a 71 average in Spanish and a 57 average in geometry but I haven't 80 in above and all of my six classes. Im not sure if i will pass this semester. They have to give probation letters before they kick you out. They always said 2nd term they give letter amd they kick you out come Christmas. But once a again their are seniors thah have failed more than 1 IB class since their High school IB career. But ny school does kick people out. Can anyone explain is it selective?
  3. Bil

    Math HL IA Topic

    I had two ideas in mind for my Math HL IA 1) I was thinking about doing it on non Euclidian geometry. I couldn't find a specific topic but I was thinking about proving that the Earth is round using spherical geometry but I am not exactly sure how to do it. 2) I was thinking about the Mandelbrot set. Maybe showing how it was bound by 2, but that would be repeating something that has already been discovered and proved many times before. If you have any suggestions on how I might find a specific topic it would really be helpful.
  4. PLEASE HELP. For my Mathematics HL IA I was planning on calculating the Earth's perimeter, radius and then calculate the Earth's curvature using no technology. To calculate the perimeter I need to measure the shadow length of an object in two different locations at the same time. In or Der to not deal with having to do measurements on a second location, I decided to pick the date as 21 of December and the location somewhere on the tropic of Capricorn so I know that the shadow length is zero and I only have to take into account the shadow length of my stick. (I live in the North hemisphere) By using the function arctangent I would find the angle between the two locations and I would only need the distance between them. This is where my problem is. In the past, people traveled to measure the distance between the two places. They found results like 6.6 camel days (It took a camel 6.6 days to travel the distance) and made rough estimates. Then I thought maybe I could do the same thing but using how many hours it takes to travel with a plane. But I had initially planned to calculate the distance using spherical geometry, but in order to do that I think I need coordinates (which would mean I have to use navigation). Then I could find out the radius and then prove how curvature is calculated using calculus and calculate the curvature of the Earth and then compare it to the actual results to see how far maths can take me. Do you think this would be a good topic for IA and is the level of math going to be enough? And also what method should I use to calculate the distance between the two locations?
  5. Can anyone help me with this question? My queries: 1. I don't really understand the question. 2. So far, I've only got RL (radius of large circle)=2RS (radius of small circle)
  6. Wondrously

    IA on Flexagons

    Hi there, I really need some help on developing my IA. I'm currently investigating flexagons but I cannot proceed beyond investigating its physical properties (finding hidden faces and how to get them). The thing is, I don't know what calculations I can do in my investigation. I was thinking that maybe it can be connected to some problem out of the geometry field but I don't know what. So far, it looks like having mostly research on paper. rather than an investigation. Any ideas? Please help, thanks.
  7. IB .


    Hello fellow IBers, I have recently finished my EE on mathematics and wondered whether anyone of you guys would like to read over it and provide me some feedback. My essay is about the Apollonius' problem in which one is to construct a circle tangent to three other circles. Help would be much appreciated.
  8. JMo

    Music Maths IA

    Hey all! I was hoping that some of you could help me with my HL Math IA, or 'exploration,' as it is now called. I wanted to do my IA over the maths of music, but I've had a really hard time a) finding a topic that might be considered 'sophisticated' enough for HL b) coming up with a rationale/ aim of the investigation. I'm really kind of confused as to how I am supposed to frame my work. Anyway, I think I may have finally found a topic that is interesting, and technically in the HL math syllabus. I was thinking that I could look at the geometry involved in music composition. Take, for instance, the fugue. It has a musical subject that recurs throughout the piece, but the subject may undergo different transformations (it may be repeated (a horizontal translation) or raised in pitch (vertical translation), it may be inverted (reflection), and there is even the option of introducing retrograde motion). I thought it would be interesting to play around with different transformations of a musical subject and see what type of music turns out. My questions for you would be: Is this 'sophisticated' enough for me to, at the very least, not fail Criterion E of the evaluation? And what could I put as my 'rationale' or aim for doing this? Learning about composition techniques? Creating my own unique and mathematical score? I would really, really appreciate any answers, and I hope that someone will get back to me ASAP. My topic is due tomorrow. (Yes, I am a procrastinator. But I actually have been working on this, I just haven't had much luck )
  9. Hey guys, The title of of this post might make you think that I'm asking you guys to solve the problem I'm basing my EE on. That's not true; I just wanted your attention Anyways, I'm doing my EE on Apollonius' Problem of Tangency and it's heavily based on classical geometry; specifically circular geometry. However, the IB math curriculum does not have a geometry unit. What I need help with is to find resources that wil aid me in learning the material/content required to tackle this famous problem. In other words, I want to know what specific content of geometry I should know before attempting to solve the problem. A question related to my EE: would my Research Question then be the question/statement of the problem itself? Thanks to everyone!
  10. caliefleurette

    Quadratic equation problem

    Hi everyone! Happy New year! *back to intense ib math* Well it's probably not that intense but I don't understand how to solve it... The length of a rectangle is 5 cm more tha 3 times its width. The area of the rectangle is 1428cm2. Find the length and width of the rectangle.So.. if I got it right, we can write L(+5)=3W right? and L*W=1428. Then.. I don't know. I feel extremely dumb... Could you help? Thanks a lot!
  11. Robocrow

    Golden Ratio in Geometry

    Hello! This is my first post here. So I am planning on doing an extended essay in mathematics. I was originally planning on researching the Fibonacci sequence, but I've gotten a bit less interested in that and more interested in the golden ratio(phi) which can be derived from that sequence. I believe this would fit under the idea of "the beauty of mathematics" as written in the IB extended essay handbook for math. I'm just having a little bit of trouble deciding exactly what I should focus on in my extended essay (and what would be to broad or too narrow). Right now my idea is to write it on how the golden ratio appears in geometry. The smaller points I have under this topic that that interest me are 1. Phi appearing and being calculated using simple geometric problems/situations with 2D or 3D shapes 2. Phi's inherent link to the number five and its appearances in pentagons, penrose tilings, quasicrystals, and other things related to five-fold symmetry 3. How the shapes and patterns associated with phi are beautiful in nature, like the ancient arabic five-fold tilings and the golden rectangle in ancient (greek) architecture I haven't done a TON of research yet, but this is what has stuck out to me so far. Is this too narrow or too broad of a topic? And does it fall under the guidelines for a math EE?
  12. Sizqu27

    Math EE

    Im going into my senior year now, and I've chosen to do a Math EE on fractal geometry transformations. But what I really need help with at the moment is how to write my essay, and how to start it. Is there any clear cut format that can help me out in writing this essay? Where can I find it? And will it help me out in scoring higher?Please help me out, I'm very lost and the only one at school doing math! Thank you! Sara
  13. So I have to do this math exploration, where I do research and find out something. I'm interested in the non-euclidean geometry and would like to write about that. However, I don't know exactly how to link that to a research question and actually come up with results. The exploration should be about 5-6 pages and I currently go to 11th grade. Can anybody come up with topics related to non-euclidean geometry, where a lot of mathematics is applied and I can investigate something? Thank you. Just some basic ideas, maybe?

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