IB Math IA Complete Guide Part 6: Criterion E Use of mathematics | Mr. Flynn IB

This video explains how to do well in criterion E in your IB math IA for both Analysis and Approaches, and Applications and Interpretations.

[mehdikhfifi]

Hi Mr Flynn, thank you very much for your amazing guidance, especially during this age of virtual learning. I have a small question concerning my exploration. I'm exploring 3D reimann sums, which take the concept of partitioning the area under a curve into rectangles of equal widths, into partitioning the volume under surfaces into rectangular prisms of equivalent square base areas. This is more commonly known as the double integral, though I wanted to see if I could approximate the volume of shapes using 3D reimann sums without the need for multivariable calculus. I chose a square pyramid, for a number of reasons(it has very interesting patterns happening with the heights of each box and much more…). It helped generalise a formula for prisms extruding out of its base in terms of the length and the width of the pyramid. In the end, I could take my formula as a limit to where the number of partitions go to infinity, for which I get the known formula for a a square pyramid. You mentioned in your video I shouldn't be deliberately finding complicated math in simple things. My project is basically a new derivation of the formula for the volume of a square base pyramid, though I'm not sure if it's commensurate with the level of the course(I used arithmetic sequences, Riemann sums, summation formulas, limits, functions), and if it's a case of me deliberately finding complicated math in simple things.

[iyadalahed]

I'm doing a math IA about finding the best distance for a long jump in coefficiency modelling. I am doing the formula y= a(x-h)^2 +k and also standard deviation for the model of the trajectory. I am in a dire situation and I need help with the math I need to include, and anything would be appreciated sir. Your explanation until now has been really helpful

[jennyzhang]

Thank you very much sir, this is super helpful and its truly appreciated:）

[AG-rpti]

Hi Mr. Flynn, thank you for all your guidance. I am currently stuck in a dilemma and I severely need your advice. I did my investigation on the correlation of a specific factor in football and it’s link with loss %. I followed all your videos for all criteria’s. However my teacher wants me to do it for another factor as-well while I think that would add repetition to the IA and not make it consice and plain boring as the same thing would be happening all over again. For the investigation of the factor I have done, I have explained why I have chosen the factor as my coach makes me train that a lot and I need to know if it’s important or not. Please help me out, thanks !

[koolchannel-lioo]

Hi Mr Flynn, I am an HL student doing math IA on modelling galaxies using spiral functions. The math I have been using so far has been mainly related to SL topics such as determination of constants using Pythagoras theorem, finding theta using trig inverse functions and simultaneous eqns. Not only that, I have also used basic integration to find volume of galaxy using spiral functions which i compared with the literature value to calculate the RMSE.I feel that these are mainly SL topics, which does not match the level of math HL students do. I am in a very bad situation, unaware of what math i need to include to match higher level math. Is there any ideas you have about what I could possibly do? Any help is appreciated. Thanks.

[vicoriathegreat]

Hi Mr. Flynn, your videos have really helped alot! I am an SL MAA student doing an IA on independent samples t-test comparing means of 2 data sets (I collected my own sample data from questionnaire)
However, I am worried that it will not score well for criterion E because I only have calculations for mean, standard deviation, and the t value formula. most of the IA is explaining whether assumptions to conduct the t-test are fulfilled (I showed how the data sets are normally distributed) and I also explain concepts of degrees of freedom, critical values, p values. I am wondering if this is sufficient to score well for Criterion E. On the other hand, I am also considering explaining concepts of effect size and confidence intervals, but I worry that it will compromise how concise the IA will be (or that it will not even fit page count) as well as whether it is relevant to my IA at all or just excessive. Do you think these are necessary and will it help or pull down my criterion E score?
Thank you so much for your help! :)

[arpitachopra]

To be clear, you only use mathematics which you have covered within your course?

[arianaazmir]

Hi Mr Flynn, I am doing MAA HL. Is it possible to get high marks for criteria E using surface are of revolution only?

[coolkid]

What mark out of 6 for this criterion would something about the SIR model and Euler's method fall into?

[marioksoresalhillick]

Could I do something that doesn't appear in the course? Like, could I do something on logic, for example? (I am currently very interested in Gödel's Incompleteness Theorems, currently).