The purpose of this research investigations was to determine whether a student daily schedule and school calendar could be designed to maximize the future utilization of existing facilities in the North Allegheny School District and to determine if the implementation of such designs would be financially feasible as an alternative to new construction. The report provides assumptions underlying the research, describes alternative extended school year plans considered by the district -- a quarter plan, a trimester plan, and the Act 80-Gemini 220 plan. The Gemini plan, which was chosen by the researchers as superior to the other alternatives, employs a twin daily student schedule for two separate groups of students within the framework of a 220-day school calendar. The research findings reveal in part that some extended school designs (schedules and calendars) have the potential of maximizing the use of existing educational facilities, the only feasible year-round school plans yet developed involve all pupils attending school for an extended school year and the acceleration of pupils to reduce enrollment, and the extended school year concept will not solve a district's building problems unless the district is static or growing slowly enough to constitute no problem. (Author/JF)