What kind/kinds of cases may the state trial, appeal, supreme, and appelate court hear from?

Although some cases are decided based on written briefs alone, many cases are selected for an "oral argument" before the court. Oral argument in the court of appeals is a structured discussion between the appellate lawyers and the panel of judges focusing on the legal principles in dispute. Each side is given a short time — usually about 15 minutes — to present arguments to the court.