* The "star-crossed lovers" angle: Haymitch tells Katniss to play up the "star-crossed lovers" angle with Peeta. He instructs her to act like she's in love with Peeta to garner sympathy from the audience and sponsors. This will give them an advantage in the Games as people will be more inclined to support them.
* The importance of sponsors: He explains how sponsors can help the tributes survive by sending them supplies, weapons, and even medical aid. He emphasizes that sponsors are crucial and can mean the difference between life and death.
* The dangers of the Games: Haymitch, having been a victor himself, warns Katniss about the dangers of the Games and the ruthlessness of other tributes. He reminds her that the Games are not a game and that only one can survive.
He also gives her some advice about how to present herself, suggesting she wear her hair down and smile more. This is all part of his strategy to make Katniss and Peeta appear relatable and sympathetic to the audience, thus securing them sponsors.