Graphical representations of spreadsheet queueing simulations can be used to teach students about queues and queueing processes. A customer graph shows the experience of every individual customer in a queue, based on arrival time, start of service, end of service, and showing clearly the length of time in queue and service time for each individual customer. The cumulative effect is powerful, illustrating how one long service time (or short interarrival time) can cause delays for many succeeding customers. The server graph (a Gantt chart) shows the experience of each server, illustrating how customers stack up, and the nature of periods of idle time. The graphs are linked to a spreadsheet simulation and update instantly when the simulation is replicated. The graphs illustrate the complete evolution of a queue (which simulation animations cannot do) and help provide a holistic view of queues. They can be used to teach students about the nature of queues and support active learning where the students articulate for themselves the cause of queue behaviors. This paper shows how graphical representations of spreadsheet queueing simulations can be used to give students a richer understanding of queues, provide a deeper understanding of simulation, and to serve as a lead-in to teaching queueing theory results. This paper builds on previous work on spreadsheet queueing simulation (Grossman, 1999), with the relevant material summarized in sections 2-4. The contribution of this paper (sections 5-8) is the development and use of "live" simulation graphs to provide a rich visual means for understanding queues and simulation, and techniques for using these graphs to motivate students, enhance their learning, and stimulate their interest in simulation.The queueing simulation and their graphical representations were implemented in Microsoft Excel 97, and any specific instructions below refer to this software package.