For the card game Hearts I would say something like:
"I will give a 20 second explanation, and then go into more detail in a second pass.
Hearts is a trick taking game. In Hearts players take turns throwing cards into a pile. Depending on which cards are placed in the pile, one player will take the pile, and that player will get some points. Points are bad, the objective of the game is to avoid getting points. Now let's just play through a mock round, it will only take a minute or two..." Etc.
I've given some thought to this, because I've often had games explained to me and the explainer is going deep into the rules about some game mechanic before I even know what the objective of the game is. I also know that people's minds work differently, and so maybe my high-level-first approach is confusing to others.
Any advice on how to teach the rules for a new game?