During a well-child visit for a 6-month-old, which developmental milestone should be expected for the child's cognitive growth?

The expected developmental milestone for a 6-month-old in terms of cognitive growth is that the child might respond to their name. At this age, infants typically begin to develop social and cognitive skills such as recognizing familiar voices and names, which is an indicator of their ability to engage with their environment and the people around them.

While babbling is indeed a critical milestone that usually begins around this age, the choice that aligns specifically with cognitive development is the child's ability to respond to their name. Responding to their name signifies an understanding of social communication and attention, which is fundamental to cognitive growth. Similarly, while rolling over and sitting without support are important physical milestones, they do not directly correlate with cognitive development in the same manner that responding to one's name does. This interaction reflects a growing cognitive awareness and connection with caregivers, which is a vital part of developmental milestones at this stage.