USCIS's new good moral character (GMC) guidelines refer to whether or not unlawful acts will prevent you from showing GMC when you apply for citizenship.
Some immigration applications require you to prove either continuous residence, continuous presence, or both. The difference between the two terms is confusing, but, you can prove both requirements using the same evidence.
To show U.S. Immigration that you have good moral character you must present a case that you are an upstanding person, but more importantly, you need to know how to defend any potential problems on your personal record.