In my opinion @Carston, both toddlers and teenagers are hard wired to push boundaries.
Of course the boundaries they push are very different ones, but their reasons for pushing them are very similar.
Unfortunately a toddler usually has to have a lot of negative feed back, as their boundaries are often to do with safety, but they are also to do with them - unconsciously - testing their parents and/or guardians with how much they they can trust them. The negativity needs to be counter balanced with lots of genuine positivity and fun whenever positivity. It doesn't matter what age we are, if we are constantly being told "no" or are being treated negatively all the time, we will rebel in one way or another.
Of course with teenagers it is much more about them learning how to behave generally, and in differing situations, how to act in a way that helps them to be liked by their peers. That includes how to have confidence in their own decision making, and learning where they fit into any of the different hierarchies that they might find themselves in - and also hopefully learning how their "fitting in" can be a positve thing within any given hierarchy. That may include how often their position within one may change, and how to accept or decline those changes, and how to challenge them when it is beneficial to themselves to do so.
These things are (again) of course, only the tip of the iceberg. I believe that as parents/guardians, the best gift we can give our children is that of being able to have confidence in themselves - to believe know that they are both liked and loved, and that they deserve to be. If they can find out as teenagers at least some of the things that they are good at, and maybe even excel at, and if they enjoy those things, and can discover a way to build on those strengths in a way that they find satisfying, then that would hopefully go a long way in helping them navigate their teenage years in a very positive way. It would of course also be good if they can accept with ease those things that they are not so good at, and to learn with very little, to no stress at all, whether they are things that they want to learn to do, or whether the lesson this time is to understand and accept that they, in fact no-one, can be good at everything, and that that is absolutely fine!
I think that the extremely difficult thing for us parents to manage, is to know how much leeway and support we should give our teenagers, in order for them to learn and grow in confidence, and in any other ways that are needed for them to become likeable and able adults. We need to remember that not only are our teenagers fallable humans, but we are too. So, if we need to and are able to give any help during this often very trying stage (remember they are supposed to be pushing boundaries), please do not share any amusement you may get from their efforts with any other living soul, because ~ again imo ~ we should only be thinking and behaving in a way that shows both ourselves, and any observers (including our teenagers) how proud we are of our offspring, while always treating them with respect and dignity. I firmly believe that if we want any respect from our own, and maybe other peoples teenagers as well, then we need to show them our respect too.
I have no idea if you could be bothered to read this whole post OP (or anyone else), but if you have, thank you. I just wanted to add that I agree with the PPs who think you are being far too negative with your DT, and wanting to punish things that just don't deserve any punishment. I certainly lied about being too ill to do P.E. (I hated it for several reasons), and I used to sneakily read my book under my covers with a torch, but as an adult I have turned into a stickler for honesty concerning myself, and any adults that I love, except very occassionally when telling a genuine white lie.