The work-energy theorem connects mechanics through force-and-acceleration (F=ma) and the interconversion of kinetic and potential energy, applicable in a single degree of freedom scenario. The theorem is mathematically expressed through a series of integrals that demonstrate how work done by a force relates to changes in kinetic and potential energy. It establishes that any change in mechanical potential energy corresponds to an equal and opposite change in kinetic energy, maintaining a constant total energy. The discussion emphasizes that the work-energy theorem is essentially another representation of F=ma, with no additional physics content introduced through its derivation. The conversation also touches on the importance of teaching the theorem clearly to avoid confusion among students.