What is the Supreme Court doing when it issues a writ of certiorari?

In summarizing modern First Amendment cases, Chapter 3 says the efforts to control hate speech in the past three decades have focused particularly on public schools and universities, then as examples, lists all these cases EXCEPT:

The common law is

Our book says the unprotected speech category called fighting words are personally abusive epithets directed in face-to-face situations at specific individuals that are likely to provoke those targeted individuals to fight back. But, in some court cases in recent years, rulings have asserted that some people, including police officers and grocery store managers, must tolerate more verbal abuse than the average citizen, because their jobs reduce the likelihood they will respond with violence.

The U.S. Supreme Court today typically agrees to hear

In order to justify censorship of the speech of a public school student that is sexually lewd, vulgar or offensive, a principal would be wise to look to the precedent and rule created by the U.S. Supreme Court in which one of the following cases?

Among the types of speech that HAVE been ruled as being capable of being banned by the government are ____________, defined as “those by which their very utterance inflict injury or tend to incite an immediate breach of the peace.”

The party that commences and files a civil lawsuit against someone else is known as the [BLANK-1].

The idea that Internet Service Providers (ISPs) should treat all Internet traffic and content similarly is best reflected by the concept known as

The U.S. Supreme Court has held that there are four different types of forums government-owned property may constitute for purposes of the First Amendment freedom of speech. Among those, ___________ are public places that have by long tradition been devoted to assembly and speeches, places like street corners, public parks, public sidewalks or a plaza in front of city hall. The highest level of First Amendment protection is given to expression occurring in these.