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Make a list of all topics covered in your class. Go through the list and determine what you need to work on. Review everything, but to different degrees. This will make the goals more clear and hopefully make your time more efficient.

Fourier is not that bad of a topic. How far are you? Did you change your topic?

It doesn't matter to examiners what you are interested in. Pick a topic that you actually understand and build a topic around it.

It depends on the difficulty of your in-class tests. If you only do only IB questions on tests, this looks high. However theses are similar to my class's grade boundaries but bit higher and we did mixes of IB and non-IB questions (including non-IB quizzes).

You can still shoot a reaction video, just of the phone call (if I sent this in time) Yes I understand that's not the point of your post. Unfortunately the school is allowed to withhold the pin. I believe personally I got them around December or January, as I had to upload EE directly. Though my memory could be failing me. It's somewhere around that time

If you ever get a practice IA, write it on this topic you are thinking of. If it's really good, maybe use it for your real thing or what I did which was made it into a Math EE then wrote something random for the IA.

Can't you just do 1/2 (3.96) (8)² for the pacman area? Why do you have to have to find theta? Which page is this question on in the Haese book?

Here is what you need to secure a 6 in AA HL or AI HL 1) Access to 10+ years of Math HL past papers and their solution manual. For AI HL you need 6+ years of Further HL and 6+ years of Studies or HL past papers. (in high school teacher gave us access to nearly 20 years). QuestionBanks highly reccommended as you can sort questions by category. 2) A minimum of 1.5 hour a day of homework time without distractions dedicated to math, for at least 6 days a week. (i spent on average 1.5-2 hours a night for a 7 in Math HL over 2 years) You should first identify your weaknesses and strength

NIST chemistry webbook is also very useful. Remember to account for states when you perform enthalpy calculations!

In general relativity, gravity is not a force. Instead freefall is travelling at constant velocity from the falling objects perspective. According to https://en.wikipedia.org/wiki/Hyperbolic_motion_(relativity), the first equation describes motion relative to freefall. The second equation usually deals with horizontal motion, ie perpendicular to gravity, or low gravity.

It's fine. Improving upon someone else's experiment is a good approach to science IAs.

You should do research into how well your school performed historically. If everyone averages a 6, then you can just do what everyone does and should be fine. If everyone averages a 3 or 4, then perhaps course companions are the minimum investments. You should read the official syllabi, most of which are available for free here: https://ibsurvival.com/files/category/14-ib-syllabus-data-booklets/ These are MUST-READS if you want a 6 or higher.

You definitely are allowed to. But it's somewhat difficult to add any personal input for proofs. To meet the minimum page limit, you should explore one or several problems using the Stokes Theorem, or whatever you want to prove. To demonstrate understanding, you should use as much AA HL content as possible. Remember that the more advanced your IA topic is, the more likely that you will say something erroneous which means marks taken off.

You can calculate the volume and area using revolution, possibly the washer/disk method. To show that you have the minimum, you can plot surface area on the y-axis vs something you are keeping constant, say volume, or mass, on the x-axis.

I've seen the specimen papers and AI HL is all about speed. Therefore getting correct answers fast should be the central focus. You don't need to do challenging problems, just A LOT of questions of easy to medium difficulties. Definitely practice math every day. Target several skills each week and time yourself doing them. A good resource is the student plan at Wolfram Alpha $5-6/month I believe, and you can generate unlimited 20-question multiply choice worksheets. Those are especially nice because you will identify shortcuts that you can use to check your work.