Something to keep in mind is that your topic does not need to be original. 44) Modelling Chaos – how we can use grahical software to understand the behavior of sequences. – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. In probability theory, the birthday problem or birthday paradox[1] concerns the probability that, in a set of randomly chosen people, some pair of them will have the same birthday. Arthur wasn’t the best at Math; he received a 28% on his mocks. Examples of around 70 topics that could be investigated, Useful websites for use in the exploration, A student checklist for completing a good investigation, Common mistakes that students make and how to avoid them, A worked example for the maths behind correlation investigations, A selection of some interesting exploration topics explored in more depth. IB HL Math IA Topics (Mathematics in art~expolring the role of math in…: IB HL Math IA Topics 1. To help students who are going to the first year of IB get prepared for the upcoming syllabus changes as well as stay ahead of their in-school instruction, The Edge will run a course to cover the common core topics under the new IB Math curriculum. His Math IA grade was the reason he got accepted into his top-choice university. Ø Draw conclusions. There has been a recent breakthrough in this problem. It turns out that, at least in the Western world, October 5th is the most common day to be born. Try to plot the locus of a sliding ladder. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. Look at the inherent probabilistic nature of the universe with some quantum mechanics. Explore this famous number theory puzzle. 16) Hyperbolic functions – These are linked to the normal trigonometric functions but with notable differences.

The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together?

1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. Use computer graphing to investigate. After all anything you can think of probably has been done 5 thousand times. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits.

We consider the following experiment.

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