Unlike in your middle school years, your class notes will include lectures, videos, audio files, and other sources of the spoken word... and your ability to process that information will require different parts of your brain. Your brain, to overuse an analogy, is a muscle and your teachers will have specific strategies to help you build it... but build it you must, to learn the information that only comes this way.
It's like the Nike ad: Just Do It. If not, there are consequences. Sometimes you'll be allowed to finish it for Homework, other times, no. Sometimes it's graded, other times it's part of an in-class activity or necessary for a project or assignment. Ask for help, according to your teacher's protocol, but do it. Teachers don't give work if it's not necessary... if nothing else, your grades will suffer.
This is something you've been hearing since you were young, but Homework prepares you for the next class, gives you a chance to practice the skills you've learned, and extends or enriches the day's lesson. All of these are useful and valuable, but the other skills you need to accomplish HW are important, too. Though they may not show up in your report card, but are just as valuable: you need to be able to get the HW home, have the materials available, set aside time and focused attention, find resources (people and paper), get it done and then get the HW back to school on time... sometimes, the HW assignment isn't as hard as getting the HW accounted for!
This is a place to discuss the 6 Ps:
Proper Prior Planning Prevents Poor Performance
Depending on the project, your teacher may have provided you with specific deadlines, or you will be responsible for them on your own. Take into account other classes and partners, plan the stages of the project, and pull out your agenda book, a sheet of paper, a smartphone, or however you write down project plans. If you don't have a method, get one. Teachers will help you, just ask.
HERE is a project tracker that you might find very useful for figuring out a long-term project and making it manageable.