What are Unit/Component/Integration/System tests supposed to look like?

I'm doing an assignment right now, and although I understand the basic concepts of these tests, I don't get what they're supposed to look like on paper. I'm basically supposed to put together a comprehensive test plan for a hypothetical application including the above tests.

Are they literally bullet points of the various components that should be tested? For example, a login page:

• Enter invalid user id and verify if any user-friendly warning pop up is shown to the end user.
• Enter invalid user id and password and click on 'reset' and verify if the data entered in the text fields user-id and password are cleared out.
• Enter the valid user name and password and click on 'Login' button.

With the only difference being that Unit/Component tests are of individual components, and Integration/System tests are of grouped components?