COVID updates: Secretary of Defense Lloyd Austin tests positive

When New York City students return to school after winter break, they will see PCR testing doubling in every school, Mayor Bill de Blasio announced Tuesday.

Testing will include both vaccinated and unvaccinated students, he said, and teachers and staff will also be able to test.

If a positive case is detected, all students in that class will be given a rapid at-home test. If they are asymptomatic and test negative, they can return the day after their first negative test. Students will then be given a second at-home test within seven days of exposure.

That shifts from the previous plan of sending entire classrooms home to learn online when one or more students test positive.

Schools will still be closed if evidence of major in-school spread.

The city's Department of Education staff is at a 96% vaccination rate, officials said.

-ABC News' Alexandra Faul, Aaron Katersky

The Broadway musical Ain't Too Proud will ends its run on Jan. 16, 2022. The show has been closed since Dec. 15 due to COVID-19 cases and hopes to resume Tuesday night for its final few weeks, ABC New York station WABC reported.

The musicals Jagged Little Pill and Waitress as well as the play Thoughts of a Colored Man have also announced that that they're closing for good amid the rise in cases.

Dr. Ashish Jha, dean of the Brown University School of Public Health, said he agrees with the CDC's ruling to shorten isolation time from 10 days to five days for asymptomatic people with COVID-19. That must be followed by five days of mask wearing around others.

Jha told "Good Morning America" on Tuesday that five days is enough to stop the spread for asymptomatic people because most people are contagious in the couple days before they have symptoms and in the two to three days symptoms begin.

But Jha said he think it would "make a big difference" if the CDC required COVID-19 patients to get a negative test before leaving isolation.

"I don’t know why the CDC did not put that in -- I suspect it might be because tests are still hard to come by," he said.

Rep. Bobby Rush, D.-Ill., said he tested positive for COVID-19 on Monday. 

"Today, after being notified of a recent exposure, I tested positive with a breakthrough case of COVID-19," Rush said in a statement. "Fortunately, I am fully vaccinated and recently received my booster shot. I am feeling fine and currently have no symptoms."

Rush said he would begin quarantining. He encouraged everyone to get vaccinations and booster shots.