IB Maths IA topics?? Watch
I’m planning on starting my IB maths IA exploration for my HL class these holidays, and I was wondering whether anyone has any ideas for good topics? I’m interested in algebra, calculus and geometry.
I do have some ideas for topics, and I’m leaning towards:
Fractals - I’m not sure if this is a good topic or not, as after hours of scrolling through threads on here many people have said that it is too complicated? I had originally planned to perhaps figure out some formulas regarding some of the simpler fractal designs like the Koch snowflake, and maybe looking at the coastline paradox. Is this a good topic, and if so what else could be explored? I do find fractals quite intriguing but I’m just not sure what could be explored.
Amusement park mathematics - I personally think that this topic could be interesting to explore. I was thinking that I could look at roller coasters and Ferris wheels, and maybe those clown mouth things where you throw balls in them. I thought I could calcalate speed, height, surface area, cost and derivatives of the Ferris wheel and roller coaster, and also find out how to get the ball in the clown’s mouth using maths. What else could be explored, and is the maths advanced enough?
Famous structures around the world - I thought for this topic I could explore structures like the Sydney Harbour Bridge, Leaning Tower of Pisa, Eiffel Tower, etc. and discuss their surface area, cost, safety, angles, etc. What else could I explore amongst these structures that would be unique and interesting? And is the maths sufficient for this level?
Also, for the last two points, I know I should probably focus on one aspect of amusement parks/structure. What one should I focus on?
Any help would be greatly appreciated. Thank you in advance!
But I got 13/20 which is a 5 so I don't know whether you want advice from me.