Union leaders reached agreement with the city to swap three vacation days in February for school days and return a clerical half day to one more day of instruction to make up for learning time lost to the Sandy and its aftermath.

Despite the storm’s disruption to the school-year calendar, the Department of Education is moving ahead with tests and meetings scheduled this month and next, beginning with the first Parent Academy workshops on Saturday.

It’s an odd end to the school year for many students. Since there were no snow days this year, the Education Department is allowing more than 650 schools to cancel classes Monday and Tuesday to allow for professional development for teachers. But students need to show up for a half day on Wednesday to pick up their report cards.

Like many other neighboring districts, New York City public school students and teachers are enjoying a week off for midwinter recess. The break started as an energy-saving measure in the 1970s and later became an annual tradition because of a budget deal between the city and teachers.

Administrators met with parents and teachers at Long Island City High School on Friday to try to address frustrations over a problem that left many students with entirely new schedules, two months into the school year.