Within the context of a multi-tiered framework for behavior support, intervention intensification is warranted when a Tier II intervention fails to adequately address a targeted behavior. A traditional approach to intensification is to shift from standardized supports at Tier II to individualized and more resource-intensive supports at Tier III. Recent conceptualizations, however, reflect the use of a process-oriented, adaptive approach in which a continuum of responsive intensifications connects the framework's tiers. Adaptive intervention design relies on the identification of critical factors to inform responsive adaptations to a standard treatment protocol. This study examined the distinct and relative influence of adaptations to Check-In/Check-Out (CICO), a targeted intervention, informed by two critical factors--behavioral function and teachers' use of behavior-specific praise. Results indicated that, relative to traditional CICO, CICO adapted to address behavioral function was less effective in producing differentiated levels of disruptive behavior. However, CICO adapted to strengthen a teaching practice--the delivery of behavior-specific praise--was effective in producing differentiated levels of disruptive behavior relative to the standard treatment protocol. Additional research on treatment adaptations informed by behavioral function and evidence-based teacher practices is needed to evaluate whether the variables may serve as critical factors within an adaptive approach to building treatment intensity at Tier II.