The story takes place in the old man's house specifically in the old man's bedroom (chamber). The narrator tells us he is not mad just nervous and diseased, but he can tell us the story calmly. The narrator's plan is to kill the old man because of the internal conflict, his pale blue (vulture eye). The narrator is the antagonist, this all takes place in the exposition.
In this story the narrator is trying to prove to everyone that he is not mad by showing us how smartly he planned out the murder. He starts off by being the kindest he's ever been to the old man a week before he plans to murder him. At 12 o'clock every night he would slowly creep into the old man's room and look at him. The narrator would open the lantern to see if the eye was open. Every morning he would ask the old man if he slept good.
The climax of the story is when on the eight night the narrator catches the old man with his vulture eye open. After seeing that it gave the narrator the rage to kill him.
In the resolution, the narrator confesses to his actions (the murder). He confessed because he couldn't stand the sound of a heart beat which in reality is his own guilt.