Final answer:
The nurse may consider nursing diagnoses such as Role Strain, Compromised Family Coping, and Risk for Impaired Parenting when planning care for a family grieving the loss of a mother and facing increased life stressors.
Step-by-step explanation:
When planning care for a family who has recently experienced the death of a mother and is facing significant challenges, a nurse may consider several nursing diagnoses. Among these could be Role Strain, due to the father's increased work responsibilities and struggle with household duties, which directly affects his ability to fulfill his family roles. Compromised Family Coping might also be an appropriate diagnosis, as the children are performing poorly in school, which could be a sign of their difficulties in coping with the loss of a parent and the additional stressors on the family. Lastly, Risk for Impaired Parenting could be considered given the father’s challenges in managing both his grieving process and the practical aspects of raising his children during this tumultuous period.