Norwich is a town in Windsor County, Vermont, United States. The population was 3,612 at the 2020 census. Home to some of the state of Vermont's wealthiest residents, the municipality is a commuter town for nearby Hanover, New Hampshire across the Connecticut River. The town is part of the Dresden School District, the first interstate school district in the United States, signed into law by President John F. Kennedy. The town contains the Norwich Mid-Century Modern Historic District.

Hanover High School is the only public high school in the Dresden School District, and is located in Hanover, New Hampshire, United States. In 1963 it became the first interstate high school in the country as part of a bill that was the last signed into action by John F. Kennedy. Today it accepts students from several communities in New Hampshire and Vermont. Enrollment is approximately 786 students, the majority of whom come from the towns of Hanover and Norwich, Vermont. 11% of the student body attends on a tuition basis from towns such as Cornish and Lyme, New Hampshire, and Strafford and Hartland, Vermont. The school employs 79 full-time faculty members.