What are they trying to do at the very beginning of the conversation?

M: We are late for the dance, Kate.
W: (7)Yes. I’m trying to catch up.
M: It’s loud, isn’t it?
W: Yes, those flashing lights make everything seem strange.
M: They are called stroll lights, used for atmosphere.
W: Look’ They are dancing gracefully, aren’t they?
M: And they are well matched.
W: (8)Do you like the fox trot?
M: Yes, but I’m only a beginner. I don’t know the steps.
W: Don’t worry about that. We should stop to join them, shall we?
M: Ok, let me learn to dance and practice. (10) Thanks in advance for your teaching.
W: My pleasure. Tom, you danced lightly, and you had a strong music sense. A person without music sense can’t dance with lively rhythm. I often saw you go to disco. You must dance very well.
M: (9)When I went to those places with somebody, I only sat at the table.
W: Perhaps that is the reason why you cannot dance well. Graceful dance usually comes from careful practice.
M: I think dancing is of little benefit to men. It’s expensive and harmful.
W: I’m sorry. I don’t agree with you. Dancing benefits everyone. It makes men more graceful and healthy.
M: Accordingly, I shouldn’t have just sat at the table, only watching and listening.
W: If you like, we’ll dance together tomorrow evening.
M: Oh, yes. I have been looking forward to it for long.