Final answer:
An enrichment program offers gifted students advanced learning opportunities that deepen their knowledge and skills beyond the standard curriculum, often including activities like science projects or art programs.
Step-by-step explanation:
A school program for gifted children that deepens the learned knowledge and skills with extra classroom activities is commonly referred to as an enrichment program. Such programs aim to challenge students who demonstrate high ability levels by providing them with advanced learning opportunities that go beyond the standard curriculum. These programs might include a variety of specialized activities such as science in action projects, participation in a comprehensive art program, or other educational experiences that promote deeper engagement and understanding.