My opinions
What is Daisuke's Final Project for Chakra Control?
[] [CHAKRA CONTROL] You know that no one else has mastered Tree Walking yet, and you're fairly sure that no one has even started with it. You can master it and set yourself ahead of the pack.
[] [CHAKRA CONTROL] Everyone still does the Leaf Spinning exercise for training but most only use one leaf. What if you used a dozen? That would look impressive, and be a great workout too!
[] [CHAKRA CONTROL] One of the things you've noticed that you do is flare your chakra when you're preparing a technique. If you could get that under control then you would be able to use jutsu without anyone who doesn't have a direct view of you noticing!
[] [CHAKRA CONTROL] Write-In
Both Tree-walking and controlling the chakra flare make sense as choices. I'd go with Tree Walking mostly because we'll have to learn it anyway, and i expect that if it counts as a technique "treewalking" would be the intermediate stage and "waterwalking" would be the advanced one. Master might be something like "run up a waterfall" or something.
We might maybe want to add a write-in like "if you get tree walking quickly enough and the other projects are going as well, try to go for water walking too", but it's not that important.
What is Daisuke's Final Project for Genjutsu?
[] [GENJUTSU] You don't have any offensive Genjutsu, and that's a problem. You'll seek out some techniques in the Archives. Sure, the best stuff is restricted, but you should still be able to find something worthwhile in the Cadet sections. And if not… well, if they didn't want people to sneak into a place, they wouldn't restrict it, right?
[] [GENJUTSU] The most essential part of Genjutsu is being able to get out of them. So you'll hone your release methods, practicing every way you can think of.
[] [GENJUTSU] You've had an idea for a Genjutsu for a while. It involves your sword, your fan, and hitting just the right note. Creating a technique from nothing is a tall order, but you've done harder things!
[] [GENJUTSU] Write-In
We want to USE genjutsu, so i'd ignore the dispel option (though i don't agree with the people who believe it would be hard to show. It's just not what i want).
We need to be carefull not to pick too many complicated options as our time is limited, but I'd go with the fan-sword genjutsu. We all want it, let's be honest
What is Daisuke's Final Project for Henge no Jutsu?
[] [HENGE] What's the most important thing about transformation? Being able to do it flawlessly. You'll stand and transform over and over, until you can assume the appearance of everyone in your class seamlessly.
[] [HENGE] A Henge is only good as long as you can do it quickly. And what slows down Henge the most? The hand seals! It's a three-seal jutsu, so with enough practice you should be able to shave a few seals off of that. Maybe even do it without if you work hard enough!
[] [HENGE] The primary use of Henge is to change your appearance to look like someone else, but a truly advanced user can look like anything. You'll work on transforming into inanimate objects and hiding yourself in places people won't ever think of looking!
[] [HENGE] Write-In
Fast Henge is not usefull outside of combat. Do we want to use it in combat? I get those who think it's a starting point in understanding how to use less handseals in general, but i don't think it works that way. It strikes me more as a "choose your advanced level trick with the jutsu"
Still, between fast henge, flawless henge and object henge I'd go with the Flawless one. Object might be good too, but it's probably harder to do and DEFINITELY advanced, flawless MIGHT be simply intermediate (though it's probably advanced as well).
In the end Fast is for combat, object to hide better and flawless for infiltration/assuming someone's identity, and i prefer the last one.
What is Daisuke's Final Project for History?
[] [HISTORY] You know what teachers like? Comprehensive research papers about their leaders! You'll do all the research you can on the Third Hokage- you've always liked the man for some reason- and write a thorough paper on his life and history! It's time consuming, but they'll eat it up.
[] [HISTORY] There're a lot of thoughts about the Land of Iron floating around in your head, and most of them aren't flattering. But what do you really know about them? You'll do a project on their history and culture. It'll be interesting, it'll give Iruka-sensei something different to chew over, and it'll give you some background on your heritage. Three birds, one stone!
[] [HISTORY] It's hard to believe, but there was a time before Hidden Villages. You can't really picture it, but old tales from those days have survived. You want to know more. You'll assemble a presentation on the time before villages, the Warring States era, and present that to the class.
[] [HISTORY] Write-In
I'd prefer to avoid Iron, mostly because i remember Inoichi's doubts and our reputation is still developing. Better to come across as less interested in our origin. Third Hokage could work, but as it says it's a lot of work. So I'd go with the warring states, both for the achievement and for the interesting stories and ideas it could give us (what clans are extinct? what jutsu are lost to time? Also IC way to discover about the Uzumaki)
What is Daisuke's Final Project for Mathematics?
[] [MATH] An important part of Shinobi Math is calculating areas and distances at a glance. And you know what would show off your mastery of that? Designing the perfect trap layout. You'll make one on graph paper and then recreate it during a spar.
[] [MATH] Iruka-sensei has had a challenge going on for years: guess the number of jelly beans in the jar on his desk and you get extra credit. You have to be exact- can't be off at all, even by one bean. No one's gotten it so far, but you think you can calculate it!
[] [MATH] Budgets are important, even if just thinking the word makes your eyes roll up into the back of your head out of sheer boredom. So what could be a better way to prove your skills than by trying to save the Academy some money? It would involve a lot of research and a lot of estimations, but if you're right, it's a guaranteed way to move up the ranks.
[] [MATH] Write-In
Budget requires too much attention and we have better things to do. I'd go with
@Redhawk idea and do a write-in like this
[] [MATH] Iruka-sensei has had a challenge going on for years: guess the number of jelly beans in the jar on his desk and you get extra credit. You have to be exact- can't be off at all, even by one bean. No one's gotten it so far, but you think you can calculate it!
-[]buy a jar as close as the one on display to help your guess
Otherwise I'd go with the trap.
What is Daisuke's Final Project for Ninjutsu?
[] [NINJUTSU] Outside of the Academy Ninjutsu, you've got nothing. That cannot stand. You need more options, and mastering an outside technique will put you on a more level playing field grade wise. You'll go research what you can at the Archives. You know there has to be something there perfect for you.
[] [NINJUTSU] You have chakra, and you know how to enhance your body with it. You also have a sword. There should be a way for you to put those two things together- and if not, you can make one.
[] [NINJUTSU] You vaguely remember that elemental ninjutsu are considered more difficult to learn and master than the ordinary type; that's one of the reasons Sasuke is running away with the Ninjutsu ranking. You should match him and learn your own elemental techniques. Of course for that, you need to know what your element is. There's paper for that, right? You could buy it- or steal it, if it comes down to it.
[] [NINJUTSU] Write-In
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no archive. We have a Gai if we need something like that. I'd avoid elemental ninjutsu for now, better to have a teacher for it.
Or we try to enhance our sword with chakra, or we go with a write-in where we ask Gai (maybe about Shunshin or Summoning?)
[] [NINJUTSU] Write-In
-[]ask Gai if he can teach you a jutsu, maybe Shunshin. Or, if it's not too soon, maybe he can introduce you to the Turtles and see if they like you enough?
tl;dr my favourite options are
[] [CHAKRA CONTROL] You know that no one else has mastered Tree Walking yet, and you're fairly sure that no one has even started with it. You can master it and set yourself ahead of the pack.
maybe add we'll try for water walking if we have time
[] [GENJUTSU] You've had an idea for a Genjutsu for a while. It involves your sword, your fan, and hitting just the right note. Creating a technique from nothing is a tall order, but you've done harder things!
[] [HENGE] What's the most important thing about transformation? Being able to do it flawlessly. You'll stand and transform over and over, until you can assume the appearance of everyone in your class seamlessly.
[] [HISTORY] It's hard to believe, but there was a time before Hidden Villages. You can't really picture it, but old tales from those days have survived. You want to know more. You'll assemble a presentation on the time before villages, the Warring States era, and present that to the class.
[] [MATH] Iruka-sensei has had a challenge going on for years: guess the number of jelly beans in the jar on his desk and you get extra credit. You have to be exact- can't be off at all, even by one bean. No one's gotten it so far, but you think you can calculate it!
-[]buy a jar as close as the one on display to help your guess
OR
[] [MATH] An important part of Shinobi Math is calculating areas and distances at a glance. And you know what would show off your mastery of that? Designing the perfect trap layout. You'll make one on graph paper and then recreate it during a spar.
[] [NINJUTSU] You have chakra, and you know how to enhance your body with it. You also have a sword. There should be a way for you to put those two things together- and if not, you can make one.
OR
[] [NINJUTSU] Write-In
-[]ask Gai if he can teach you a jutsu, maybe Shunshin. Or, if it's not too soon, maybe he can introduce you to the Turtles and see if they like you enough?