In educational scenarios involving social robots, understanding the way robot behaviors affect children’s motivation to achieve their learning goals is of vital importance. It is crucial for the formation of a trust relationship between the child and the robot so that the robot can effectively fulfill its role as a learning companion. In this study, we investigate the effect of a regulatory focus design scenario on the way children interact with a social robot. Regulatory focus theory is a type of self-regulation that involves specific strategies in pursuit of goals. It provides insights into how a person achieves a particular goal, either through a strategy focused on “promotion” that aims to achieve positive outcomes or through one focused on “prevention” that aims to avoid negative outcomes. In a user study, 69 children (7–9 years old) played a regulatory focus design goal-oriented collaborative game with the EMYS robot. We assessed children’s perception of likability and competence and their trust in the robot, as well as their willingness to follow the robot’s suggestions when pursuing a goal. Results showed that children perceived the prevention-focused robot as being more likable than the promotion-focused robot. We observed that a regulatory focus design did not directly affect trust. However, the perception of likability and competence was positively correlated with children’s trust but negatively correlated with children’s acceptance of the robot’s suggestions.