I find it very difficult to believe your teacher would give you such an assignment with no lesson or guidance to lead you into it.  Thus, I think your intentions are likely NOT ethical.  That said, I don't think you'll get much help, here.

In fact, let me issue you a challenge, myself.  If you're being legit, have your teacher post here, as proof of the assignment, and give us valid contact info to validate who he / she is.  Then, IF it's for real, maybe we'll consider helping you learn, by pointing you in the right direction.

However, I'm pretty skeptical of your request...

I'm not judging you.  If you're in for ITBT, more power to you.  And as I said, I'm skeptical, but will help, IF you step up and show us you're legit.

But:

A.) if you watch these, or any security forums, regularly, you'll see numerous students try to 'social engineer' us to help them hack school networks / teacher passwords.

B.) again, I find it very difficult to believe you'd be given an assignment to hack and be given little to NO help or direction.  I know few teachers, if any, who would throw you in deep, without first giving you something to work with.  If your teacher TRULY gave you an assignment like this, then they should realistically expect that you'll look outside for help, and be willing to help you by validating your effort.

C.) no offense, but coming with an attitude, rather than understanding what we say, and truly trying to clarify yourself, without attacking, gives us less reason to want to help.

I think you'll find ALL of us are willing to help you (looking over this site, you should see that,) but we also expect that you will work for it, yourself, too.  If this is something you want, you shouldn't be so quick to just say, "I have a port scanner, but I have no other ideas." 

Do some research, read through these forums.  Dig deep.  And again, we will help, but we expect two things:

1.) Honesty
2.) Willingness to work for it.

I wish you well.  Prove to me either A.) you're legit, by validating what I asked, or B.) at a minimum, come with more specific questions, to show you're not looking for handouts.

Good luck.

The teacher didn't give you anything at all? mm

What is your operating system? What port scanner are you using?

Never heard of that one but it looks like they have a support forum for questions.

I'm still trying to figure out:

1) why a Info Tech / Bio Tech (only ITBT type program I know of) student would need hacking skills.

2) why the person teaching the class would tell them to try and hack her.

3 (or 2a)) why said teacher would say that without teaching them the skills they need.

I agree its all a bit strange and if the teacher has given permission to do this does the school IT department know.

And I would hope that the Teacher would be advising students how to do this, to make sure they did not do port scan on the wrong IP or break any laws!