Final answer:
The best activity to support initial progress toward maximizing independence in self-management strategies for an adult with chronic mental illness is to develop a worksheet to analyze triggers and high-risk situations.
Step-by-step explanation:
The best activity to support initial progress toward maximizing the independence of an adult with chronic mental illness in self-management strategies is to develop a worksheet to help the client analyze personal triggers and high-risk situations. By completing the worksheet, the client can identify potential triggers and develop strategies to prevent relapse. This activity promotes self-awareness and empowers the client to take control of their mental health.