The School Committee is expected to vote Tuesday on whether to adopt one of four redistricting plans for the elementary schools. Thomas Miller, director of business and finance for the schools and a member of the redistricting committee, said in an interview that the four options include two from the original set of alternatives and two new ones, crafted in response to parents’ comments. The new options would move fewer students, which many parents wanted. The redistricting committee considered how each option would help achieve six goals, such as alleviating crowding at South River Elementary School, making transportation more efficient, and maintaining equity in class size and student-teacher ratio. The changes would take effect this September. Miller said the redistricting committee recommended that schools hold “new families” receptions in August to ease the transition for children changing schools.