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  1. Hey everyone. I've justed started my first year in IB and I switched from chemistry to art sl. I only have a teacher for half of my lessons everyweek, and since i've just started I'm very confused. I have no idea where to start or what I should be doing. I'm also seriously confused about what I put in my process portfolio, like do I just explore random topics, or do i start a project and explore within that project. I'm already 5 weekds behind, so I need help pretty badly hahaha Thank youuu
  2. ---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.
  3. Hi there! I'm i year 2 and I'm really concerned with the Visual Arts Investigation Workbook requirements. Last year I was doing my portfolio (sketching, writing, and comparing artworks here). Since we need to make screens with our scanned pages, I thought that we will only need to retype the text by computer and add it to the screens. However, a month ago, my teacher told us that investigation workbook is not the same as portfolio and that we shouldn't retype the text when making screens but evaluate on how we were doing the portfolio, and add even more text and even add some sketches done with computer... The problem is, I've written really much text in my portfolio and couldn't possibly add much more. Does anyone know what are the precise requirements? Do we need to add much more text and sketches or only to retype the text included in portfolio?
  4. I was wondering if for the new syllabus we need to put in quotes from the article and use definitions of economic terms in our economic commentaries?
  5. 22 downloads

    Economic IA Portfolio Guide, for both SL and HL students.
  6. Hey guys, I'm having a little bit of trouble with the Math IA since now we can choose our topics we can basically do anything. I first came up with the idea of fractals and had almost a clear idea of how to develop it, I talked to my math teacher and I was going to use sequences for Geometric Fractals or just linear algebra for Algebraic Fractals...however, I was browsing through the Math IA Topics on here and came across many threads related to fractals and many moderators told users not to chose Fractals as their Math IA topics. After looking for many other topics I finally decided to do it on Kaleidoscopes. I'm interested in it since I'm also a Physics SL student and it's somewhat related to reflection in chapter 4. I googled the maths in it and found some documents about Kaleidoscopes and the math in it. One used Matrices (I studied it before it was taken off the syllabus for May 2014 examinations) and another simple 'Group Theorem' and Vectors. I was wondering if any of you could help me focus on a specific research question regarding my topic since there are so many ways to "solve" this and I'm a little confused on what to do after reading so many documents with numbers and notation I don't understand. PS: Feel free to tell me what you think of my topic or suggest any other topic for the portfolio. Thanks xx
  7. I decided to try and connect at least one of two of the things I'm passionate about (languages and music) to the exploration, but I have no idea what an appropriate topic is. While I love languages and even plan on doing some form of Linguistics in university, music is more of a hobby to listen to, not study. For the moment, I'm considering: - Is there a mathematical equation for the "perfect" beat? - Maths behind commercially successful songs and their instrumentals and/or their artists' voices? - Going into detail about the 4 chords in C-Major commonly used in pop - Probability of making a completely new song? - Mathematics behind discord/accord? I have a feeling that these aren't good topics, so if people can give me any feedback or advice it is much appreciated.
  8. What is the citation/ bibliography method for a math studies portfolio/ IA? Chicago, MLA, APA....?
  9. So, our teacher has finally given us the long dreaded math portfolio(for me at least). She has also given us two examples of the previous math portfolios (one good, one bad), BUT they are both statistics. Also I've been looking around for a while and no where does it state how to formulate a topic! Except for creating a topic in something I like. Could anyone provide me with tips or examples of how to create a topic? I've been stuck on it for a while...
  10. 41 downloads

    This helped me to check for what I'm missing from the economics guide, so I made a checklist, like they used to have for older examination years, where you can check off as you meet a requirement.
  11. I learnt today that I have to give my Math Portfolio idea in two days time (completely out of the blue) and I have no idea how to proceed. Like probably everyone else in the world, I have no clue how to get around picking a idea... Right now, my thoughts are towards studying the efficiency of traffic patterns (road patterns? Traffic management?), but I don't know if it is good enough. The school profs are also caught out by the rule change for 2014, so they are also quite uncertain. Any advice? I don't necessarily need to follow my current topic, but I need to get something good quick. I checked around online for ideas, but quite a lot of them either point to very simple stuff that are already in syllabus, VERY complicated stuff completely beyond the syllabus or mathematical mysteries that probably will not be solved by me.
  12. Hi everyone, I am retaking IB Math HL with my portfolios, I was wondering if any of you guys knows whether I should chose the other topic for portfolio or can I improve the one that I started? Considering that the topics for 2013 May and November sessions are the same.
  13. I'm just in the process of finishing up my final draft for my IA type II portfolio for November, and I'm facing a bit of an issue. The other day, I googled the portfolio just to find out how others had gone about it to get a second perspective, and I found one that started the process very similar to the way I've done mine. Of course, it moved on to like writing up a program for verification and things, which I didn't. But the first three, "simple steps" and the general formula are rather similar. Now I'm worried that because this work is already on the internet, the examiners may think I plagiarised. While I do NOT want to start the portfolio again, and my final is due this Friday, I'm also not willing to jeopardize my diploma. So my question is - there's obviously a finite number of ways a math problem can be tackled, so what do examiners do when they find two very VERY similar pieces of work? Will this affect my work, and result in a sanction? Can a mere coincidence result in a plagiarism issue? What bothers me the most is that it's easily accessible on the internet, which may cause examiners to think it was copied. Any help would be greatly appreciated!
  14. I had a slight doubt regarding one of the commentaries I need to submit as a part of my IA Portfolio as a student of Economics HL. The fact that there is a specific component in the rubric asking for Diagrams in the commentaries has got me slightly muddled. I'm going through my commentary on Developmental Economics and as far as I can see, there aren't any possible diagrams visible in the horizon. What should I do and is this usually the case with Developmental Economics related IA? The book I use (Oxford Course Companion by Jocelyn Blink and Ian Dorton),has one diagram in the whole section, so that again does not help much in clearing the air regarding this. Any help would be quite appreciated!
  15. I needed some help in choosing an article for a commentary in development economics. I've done one commentary on micro so far but I can't seem to understand what a commentary on development economics would entail. What sort of theory and/or diagrams would one use in the commentary? And regarding the article, I assume it should be something related to "Economic Development", so I wanted to know whether one of these two articles would be suitable and what sort of analysis would need to be carried out. http://www.sierraexpressmedia.com/archives/57245 http://www.ibtimes.com/africa-pursues-development-goals-some-countries-lag-while-others-lead-1289671 Any help, suggestions, feedback or general advice on any of this would really be appreciated!!
  16. Hi guys, I'm doing my modeling maths porfolio on the dice game. You can find the task here. page 4. Currently, i'm doing the last two questions. For the second last task: let say, the player pays $30 for each game, and if he wins he will get his money back and the banks has to pay him as well. So if the probability of him winning the game is 15/36, out of 36 games, he can earn 15x30=$450 and the bank has to pay him a certain amount of money for every game he wins. does that sound alright? For the last task: in the case of multiple players involved in the game, is it that the each player rolls their dice once only or for the same number of times? And how do we decide who will win the game? Thank you in advance.
  17. Hi there! I am writing my economics macro-commentary for the first time, and I am not sure what is consisted in a good macro-commentary. Could you rate my article and give me some pointers? I am completely lost... Here's the article: http://www.nytimes.com/2013/03/11/business/economy/after-corporate-upswing-hopes-grow-for-a-consumer-revival.html?pagewanted=1&_r=0&pagewanted=print By the way it's for my IA portfolio. PLEASE REPLY ASAP, this is due very soon, and I need to start.
  18. Hi! I'm currently trying to solve the questions in HL Math Internal Assessment Type 2: The Dice Game. It's been an extremely long time since we went over probability, hence I have no idea what I'm doing at the moment. Could anyone give me the numerical answers so I can check my work? I promise I'm not asking to plagiarize in any way, I just want a little confirmation. If you can give me some tips about the portfolio, that would be incredible as well. Thank you! You can find the assessment here: https://teacher.ocps.net/joel.brielmaier/HL/IA%20Info.pdf
  19. Just wanted to know whether this article would be fine for a microeconomics commentary. This is my first commentary so any help would be appreciated. http://www.deccanher...-subsidies.html
  20. 35 downloads

    IB Math SL Portfolio 2012 - 2013 tasks
  21. Hey guys, first post on IB survival. Been thinking about what I want to do my exploration into for my coursework. A topic that has come up a few times is computer science and the logic behind that. I was going to try to make a computer write an essay or create something, subsequently fail and explain using maths why a computer can't speculate or "fill in the blanks" to lack of knowing a better word. However I'm worried that this subject may be too vague and I'm worried that I'm going to go real deep into this to realise that I am writing an essay which is irrelevant to maths. Opinions on this would be appreciated, thanks.
  22. So I am just starting IB and we got a practice portfolio. I was wondering if anyone can send me a sample of how the portfolio looks like and stuff Thanks
  23. Hey, I have started the Gold Medal Heights Type II Portfolio and I was wondering what the mark scheme meant by "applies the model to other situations", I'm not sure how I would do this in the IA. I was also wondering what the IA meant by "parameters" and "possible constraints". The portfolio is in the PDF. Thank you! portofolio tasks for 2012 2013 SL.pdf
  24. Hey guys, I want to know what do they mean by "Define suitable variables" and "suggest suitable models" Thank you
  25. Version pdf


    Maths IA on stellar numbers.
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