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Found 64 results

  1. ---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: 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: Paper with Comments: Marks: 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: Paper With Comments: Marks: 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: 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: 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 and, 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.
  2. So, as I further dive into post-graduate papers I simply do not contain the brain capacity (yet?) to comprehend, I'm gaining an increasingly certain belief that doing an HL exploration on chaos theory/it's applications is not my cup of tea. (again, yet(?)) Our option topic is calculus, and what I've come to understand (with questionable accuracy) is that the chaos theory falls rather into the "discrete maths territory", whatever that is. I've already suggested the topic to my teacher and he appeared to have no hesitations on asking for the rationale and the mathematical development, due yesterday. (yay snow break?) (I mean I could've asked him about these if it weren't for the snow so ultimately it wasn't that great) (and I'm aware my delays are not optimal but have no doubt, my days have been terrorized by this theory ever since I've decided on the topic, to no clear end) Overall, I've no ways (or honestly, the intention) to change my topic now, and I need to get it, at last. I ask, from those graduates that somehow enjoy frequenting the haunting memories of IB, or Further geniuses (or those that qualify for both?), to walk this crippled victim of her own audacity, through the chaos theory. Preferably by calculus-applicable examples, and minding that I indeed am crippled intellectually by the inexplicably high level papers I've made myself read. (sorry for my insensitivity towards the mentally challenged, account it on my own challenge that is unlike theirs, of my own doing, yet proves to be a great obstacle nonetheless) tl;dr I'm an idiot that chose chaos theory as her exploration topic. I don't get it. Need someone able to walk me through it. Please.
  3. When taking Math HL Tests, the space given to us for working out the question is often too small for me. Especially when I make a mistake and have start over (I can't erase since I'm using a pen). So then I just show the work on my scratch paper. In the actual exams though, I won't be able to do this I think. I was wondering if other people have the same problem, or some advice. Thank you.
  4. Hi guys, I am currently learning online with Pamoja, but all it gives are grades in percentage, no level grades. Does anyone know what is the percentage grade boundaries for math HL?
  5. Key Notes for Writing a Math Paper View File A summarized note for what you should include and what you should avoid when writing a math paper! I hope it would be useful for those of you who are in math HL. Good luck! Submitter Ludwig S Submitted 12/10/2016 Category Notes  
  6. Does anyone know how and where I can obtain a copy of the solutions manual for the Fabio Cirrito book? I've searched everywhere and I just can't find it. I'd appreciate any guidance. Thanks.
  7. Hello everyone, I want to do my Math IA about the nabla (or del) operator used in vector calculus. I'm interested in this because I'm going to study physics at uni and I heard that physics students will need to learn this at uni. So that is a factor that will keep me motivated to do this. However, I don't really know where to go from here. Should I just base my IA on explaining what nabla is and deriving it? Or is there anything in particular I can base my IA on? Thank you.
  8. So,this is my first post here. Here's the thing.
  9. The school I'm going to right now is pretty new, our class is going to be the first graduates for the school. So, a new school means no experience, and you can see that with no Math HL offered to students. Well, they actually do now, but last year when I was in DP 1, they didn't offer Math HL, but then they started when I was my second year DP 2. And I wanted to do Engineering, and the university which I want to go to (Technical University of Denmark) accepts IB students who have Physics HL and Math HL. So you can see the problem, I don't have Math HL because the school can't offer it and it's not my fault. But I really want to go that university. Has anyone experience this before? Maybe by having a 7 in Math SL would do? I need help. THANKS!
  10. I recently had my first HL mathematics mock exam on topic 1 of the curriculum. It followed the same pace and style of the final exams. Despite preparing pretty well (and for a long time), the test caught me by surprise, and didn't go well at all. The pace especially was very hard to keep up with. From all of you people, I'd like to ask, what are some ways to get better at doing the hl maths exams, how to better prepare for them, and please feel free to give any tips and tricks in general. Thanks!
  11. Hi guys, I'm sitting for 2016 nov exam and prepare to apply us universities for 2017 fall, but I currently have a HUGE PROBLEM with my predicted grade!!!!!! First our coordinator said he won't tell us our predicted grade since it may affect our attitude towards the final exam. Also, some of our IB teachers said they would predict one mark lower than our actual mock grade. Because most of students in our school only attend local universities, so they don't really care about predicted grades. And the boundaries for some subjects are quite strict in our school as well. For example, a 87% for math HL to get a 7 (when I check official boundaries, it's usually a 79%-81%) I'm really desperate now, will I be disadvantaged because of the poor predicted grade due to school? If I work hard and get a decent grade by January, will uni consider that?
  12. Hi, I am intending to do my Math Exploration for Math HL on Graph Theory, based on the Chinese Postman Problem. Can you suggest some ideas or areas that I can explore? And also how should I go about doing this Math Exploration, especially being Math HL? Thanks!
  13. Hi, i'm coming up with an idea for my EE in Math HL, and the only idea i came up with so far is as mentioned in the title. i want your opinions on whether it's good enough. please explain why not? i plan to major in computer science, and i'm really interested in that area but i haven't found anything that hasn't been already done as such i can't uniquely do it/steps into computer science territory yet. what more specific areas related to Math that relate to CS that i could look for a topic in? (definitely not asking you to come up with a topic for me)
  14. Hi as you know as a core requirement for IB- extended essay needs to be handed in before official IB deadline or I will fail. The due date is in about a week and a half or so, and I have done nothing. Reasons include personal related troubles while in DP1, I picked my subject to be math hl and didn't get proper help nor did I invest any significant effort into it. My question is what's next? Where Can i get any help? Can I do everything in a week? Can I get a diploma without finishing the extended essay? Please help I'm crying blood here!
  15. I'm just on my second week of IB and I'm stressing over what I'd do for my IA in Chem, Physics and Math. Any ideas?
  16. Hey guys, I am starting my IB DP in a week. My current subject combination is: Economics HL History HL Math HL Chem SL Lang/Lit SL French B SL I really like history and want to make a career out of it, with the research that I've done, I really want to be an archaeologist. My backup option as of now is a lawyer if not an archaeologist. Could anyone give me tips for History HL? I am open to changing my subjects, it would be helpful if any of you guys could suggest some career paths that might interest me.
  17. Hi, I decided to do a math EE on factors that determine the strengths of a Linear Feedback Shift Register. I thought I would talk about the seed, taps and the number of flip-flop and do many statistical test, however half way through my research I came to realize that the only thing that affects the strength is the taps and thus there wouldn’t be much of exploration except some simple things about finite fields. Nonetheless I have already written quarter of the essay on stream ciphers and LFRS, and also for most of my break I was reading about LFSRs, so I don’t want that to go to waste. Can someone help me by suggesting a thing that I could explore for my EE that still be related to LFSR. Thank you
  18. I'm really stressed out for Math HL. Got any tips to ace the Math paper?
  19. So my math teacher asked me to submit an IA topic by the summer break for the Math HL exploration. One topic I was particularly interested in was the hedonic pricing method, which is statistical regression technique that is used to estimate the market value of real estate properties such as houses etc. However, I'm not entirely sure if such a topic would be feasible as I'm worried that my IA may turn out to be more economics based than math based. Any advice would be much appreciated.
  20. Hi! I'm starting the IB program next year and going to take 4 HL's (Bio, Chem, English, Economics), but I'm not sure if I should change Economics for Math HL... I've always been in the advanced math class, though I never liked math, and was forced by my parents to be at this level. Lately I've realized my math is pretty bad, and I'm pretty slow to understand things, compared to all of my math classmates. It's not that I don't know how every equation works or how graphs work and all, in fact I'm pretty good at solving equations and doing these formulas. It's just that i don't understand math in general. We just got "deeper" into solving trig formulas, equations, and these radian stuff. I can't solve the questions without looking at the answer guides because i can't solve them on my own. I have this math test tomorrow and I'm worried I'm going to fail it because i can't come up with any formulas to solve these questions. The problem is that i'm bad at coming up with ways to solve these. It's so hard for me to think outside the box and figure out the best way to solve math problems. I talked to my parents about this and they just tell me I'm not practicing enough. Though they maybe are right, I don't know if working my ass off on HL math is worth it. Math just isn't for me, but maybe I'm not challenging myself enough. I want to become a nurse or a biology teacher later on, and I'm wondering if I even need to stress this much about math. Will taking SL math look bad for my college application? And really, what is the difference between math SL and HL?
  21. Hey guys! Our school wanted us to submit an EE topic that we are most likely to pursue. I submitted these: 1) Thee use of ancient vs modern mathematics in We by Yevegny Zamyatin in the explanation feelings (something along this line) Problem: This one seems to be more English than Math 2) The usage of euclidean geometry in the relationship of colours based on the modern colour wheelProblem: 4000 words may not be attainable3) The relationship of math and visual arts (fibonnaci sequence, the golden ration, etc.) and focusing on architecture which is what I'd like to pursue in the future. Problem: Topic too broad? I want to know what other fellow IBDPers who are doing/did a Math EE think. I know it's rare for Math EEs to be done. I hear that it's hard to get an A in math EEs. I might end up with Biology :/ Thanks in advance!
  22. I am currently in 11th grade and we have just started working on our Math IAs. I am really struggling to come up with an idea that will allow me to write 12 pages on and would appreciate if somebody could give me some ideas and explain the main AIM that we have to reach at the end of the exploration. Thanks
  23. Next week i get to pick my IB courses, I'm torn between Math and English. When choosing your courses, you chose which one you want to take HL between Math and English, Biology and Chemistry, French and History (in french). Since I'm in french immersion, i have to take French HL and History SL. Currently im in the grade 10 IB prep and my math mark varies from 94-96%. I love math and I was convinced that I was gonna take Math HL but I've heard and read about the exams, how they're extremely hard and they don't prepare you for the exam questions like in SL and they're worth around 80% of your mark. I'm not very good at english. I struggle with completing a book, I don't enjoy reading at all. Right now in my english course, I have to read a 500 pages book by Feb 22nd and I'm already struggling. People and teachers have told me that English HL is mostly reading a bunch of books and essays. Therefore, I will definitely struggle with it, SL or HL. I currently don't have a mark in english since it's just the beginning of the second semester, but we've been analyzing poetry and I'm already having a hard time doing it. I really want to take Chem HL, but I can't if there isn't Bio SL. This year, my school didn't offer Bio SL, so if they don't offer it next year, I'm stuck with taking Bio HL and Chem SL. In my science class last semester, I enjoyed chemistry a lot more than Bio, but then in bio we only learned about ecology which i found really not interesting. But all my marks were above 90%. So my questions are: 1. Is Biology HL REALLY hard?And do you do any dissecting? 2. When i understand something in math, it becomes really easy. Is it like that in math HL? 3. What are math IAs? Hard to do in HL? 4. Any tips for choosing my courses?
  24. Salut everyone! I'm currently in the MYP (10th grade) and I'm choosing subjects for DP. Here is what I've decided so far: HL: Computer Science Math English B. SL: Physics ITGS Russian A. Do you think these subjects are good for wanting to take computer science in university? Is Math HL too hard? Is CS HL too hard? What kind of advice could you give? What should I do on summer holidays to get a 7/7 on my DP subjects? Arigatou. ^^ //I want to be a good programmer.