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Found 67 results

  1. I've seen this type of question before but I forgot the method!!! Could someone clear up the method for me? Pleaseeee
  2. Hi all, So, I'm preparing for a unit test tomorrow on exponents and logarithms, and I am noticing a trend myself. Especially for some complex log/ln equations, I have a great difficulty knowing where and how to go about solving a problem. When I take a look at the answer key, it all makes sense, even the process. It's just that when I attempt solving them on my own, I tend to get stuck at some point. I have a good knowledge on log laws as well as exponent ones however, they do not come to my mind whenever their use is required in a proble (if you know what I mean) I know it takes a ton of practice to feel natural (Which I am doing rn), but I'm looking for advice as to how to go about solving any equations involving log/ln. Here is an example I am stuck with: Solve for x: ln (x)= 4log(base)x(e) *Just on a side note, a quick advice on exponential equations/word problem questions would be wonderful! Thank you for reading and all your help. I really need them at this point!
  3. Hey there, I have a question regarding Math HL. I want to do game design in college, but I find Math HL to be too tough. I'm considering switching to Math SL. Would this in any way put me to a disadvantage? I prefer getting a 6 or 7 in Math SL, to getting a 3 or 4 in Math HL. Any help would be appreciated. Thank you in advance.
  4. Hey guys, I have questions that I failed to solve. Could any of you help me? 1) if (z+1)/(z-1) = cosx + i sinx, show that z= -i cot(x/2) I found that z is purely imaginary, and tried to replace z with bi and then solve for b, but it didn't work that well 2) if z is a root of the equation [(z+1)/(z-1)]^5 = 1, show that z^4 + 2z^2 + 0.2 = 0 I believe I have to solve the prior question in order to do this question. 3) Hence show that [tan^2 (pi/5)] [tan^2 (2pi/5)] = 5 and [tan^2 (pi/5)] [tan^2 (2pi/5)] = 10 I don't even know where to start off with... help! It would be great if you can show me your steps! Thanks
  5. I have a question that involves using graphs to show that an equation is correct, and I currently have tried to use a linear graph to show the equation, but it didn't seem to be working since the slope if always 1, the second part of the equation is where I'm having trouble at, could any of you help me?
  6. Hi guys, I have a question on Calculus and it has two sub-questions. It would be great if any of you could help me solve this. Sub-question 1, do I equate the equation to y equals something and then solve? And I have no idea on how to solve the second sub-question.
  7. 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!
  8. I have a question: if x = 2sin(x), then find the correct expression for cos. Currently I have the answer like this: √(1-4sin^2(x)), how could I simplify it further?
  9. Hey Guys I'm halfway through my IBDP, i will be writing my summative exams for Grade 11 in May. I'm currently in math HL, but i'm scoring quite bad. I am considering shifting to Math SL, but i will have to push another subject to HL. I considered Econ for HL, but too much is already done. My best route, now is to take English HL. Should i make the move? In what way will it affect my college application, if i'm going to take engineering? My current subjects are (Math, Physics, Chemistry: as HL); (Economics, Spanish Ab, English as SL). I am extremely confused, as i'm able to score pretty well in the actual IB papers, but well, it may be because of the high expectations of the school in math HL, that i'm not able to score in the school tests. And in English, I scored a 5 in test 4, but i did pretty well in the mock IOC (23/30), considering that mine was the highest marked. What do you guys suggest? Should i stay in math HL, or should i drop?
  10. I am studying math hl with pamoja and I noticed that its final exam is scheduled way earlier than what I thought, which is at the beginning of May. The subjects that we would be done in this year are: Algebra, Functions and equations, Trigonometry and Circular functions, and Calculus. I wonder how hard the exam is going to be, and it would be great if any of you could give me some "unfamiliar" questions to help me practice.
  11. Hi, so Im was writing my ia for Math HL when I began to reconsider my idea because I don't know if it falls under HL content. Could someone that knows tell me My topic: Exploring e as base for the natural logarithm function. Thank You!
  12. Hello, Exams are coming up soon (May) so we should start preparing relatively soon. I was wondering if any IB Alumnus could give a very detailed guide on how exactly to prepare for the Math Hl exam. That would be greatly appreciated because I'm not sure how to approach it. I'm doing the Calculus option btw.
  13. Hi, I'm doing my Math HL IA on finding the volume and surface area of a frustum (from a cone). I'm determining the volume in three ways, out of which one is integration. I'm calculating the surface area in two ways, one of which uses integration too. However, though the formula for surface area is out of the HL syllabus, I feel like this is a very simple idea, and might not fulfill the 'Use of Mathematics' criterion as formulae for the volume and S.A. is available online. My Math teacher says this is sophisticated enough, though I feel the opposite. I would like an opinion on this topic and whether I can do anything else to make this topic more sophisticated. Thanks in advance!
  14. ---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.
  15. 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.
  16. 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.
  17. 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?
  18. 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  
  19. 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.
  20. 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.
  21. So,this is my first post here. Here's the thing.
  22. 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!
  23. 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?
  24. 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!
  25. 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)