Response: Rapport is just a relation or connection to others, specifically a sympathetic relationship where you understand each other. Coincidentally, the Dictionary.com example was this: "A teacher trying to establish close rapport with students."
My observation teacher shows in interest in everybody's lives constantly. The students have a show and tell time everyday, and when they have Writer's Workshop, she has some of them share their stories with her and the class before they write. This develops rapport not only between her and her students, but between the students themselves. Everybody is getting to know each other constantly. They even have a bulletin board in the room where kids can post family pictures and drawings they've made. Mrs. Smiley frequently mentions her personal life when providing examples in order to create a more personal experience for the class. I've seen many of the kids randomly go up to her and hug her, and they've done the same with me. Everybody is comfortable with each other in the class, which is crucial to a safe learning environment.