The E^2 (Expository Engagement) High School Math Camp will engage mathematically-minded and talented student in mathematics not typically seen in their classrooms. Each day will consists of two sessions including expository talks followed by breakout problem-solving sessions during which participants, in small groups led by an undergraduate mentor, will work on challenging problems related to the expository talk. Possible topics will include the math of Google search, encryption, math and music, and modeling the spread of a disease, and past speakers have come from institutions such as Google, UIC, Lake Forest College, and North Central College.