PHOENIX — Ten public schools in the southeastern border city of Nogales are closing for a week starting today as a precaution after a student tested positive for swine flu.

The student is now recovered, and county health officials had recommended that only the elementary school the child attends and a neighboring school be closed, said Shawn McCollough, superintendent of the Nogales Unified School District.

He said district officials decided to close all 10 schools in the district as an extra precaution.

“The main reason is Nogales is such a small, self-contained community with many families being interconnected and related that we didn’t want to take a chance,” he said.

Students will return to class May 11.

Arizona officials received news Saturday that 13 new cases were confirmed across the state, bringing to 17 the total number of people infected with swine flu in Arizona.

Pima County officials said Sunday that six of the new cases were in their county — four are residents of the Tohono O’Odham Nation, one person lives in Tucson and one person lives in Marana. All have recovered and did not require hospitalization.

The Centers for Disease Control and Prevention in Atlanta has been sent another 87 probable cases from Arizona, but the results haven’t yet come back. More than half of those are from Maricopa County.

Several schools have been temporarily closed in the Phoenix metro area as swine flu cases have been identified.

But Maricopa County public health Director Dr. Bob England said Saturday he would stop ordering the closure of schools where students or teachers test positive for swine flu because the new virus appears much less dangerous than first feared.

England said no more schools in the county will be closed unless there’s a widespread outbreak or the virus changes and illnesses become more severe.

Tucson Unified Schools District officials are taking the same approach.

District spokeswoman Chyrl Hill Lander said Sunday that although one student was infected at Safford Magnet Middle School, the child has since recovered.

She said county health officials told district officials that school attendance does not place a student at any more risk than any other public activity, and that no schools will be closed in the district.

Nationwide, the tally of confirmed swine flu cases in the United States jumped Sunday to 241 in 34 states, but officials said that’s largely from catching up on a backlog of lab tests rather than a sudden spurt in new infections.

The only swine flu death in the U.S. is that of a Mexican toddler who was visiting Texas.