The milestones continue for the University of Miami women’s basketball team. On Monday the Hurricanes (24-3, 13-1 ACC) moved up to No. 5 in the Associated Press national rankings, the highest in school history.

Baylor tops the poll at 27-0, followed by Stanford (24-1), Notre Dame (25-2) and Connecticut (24-3).

“This kind of recognition really validates the high expectations for this team,’’ coach Katie Meier said Monday. “I’m sure early in the season a lot of people threw us up there because we brought everyone back this year and finished strong last season, but most of them probably didn’t think their late-February poll would have us No. 5.

“We are legit. This is about our body of work. We’ve had a really consistent season, and risen to the occasion. It’s much easier to be a surprise team, like we were last year, than to come in with high expectations and live up to them.’’

The Hurricanes are tied with No. 7 Duke atop the Atlantic Coast Conference standings, and they battle each other Friday night in Durham, N.C., for the No. 1 spot and top seed in the upcoming ACC tournament. As if that weren’t “dramatic enough,” Meier said, the game is part of Duke’s Women’s Weekend, a celebration of 40 years of women’s athletics at the school, and Meier is an alumnus and former Blue Devils star.

“When I was recruiting these players, I probably said something to them like, ‘Imagine being tied for first place with Duke and then having to go beat them on the road to stay No. 1. Do you want that kind of pressure? Are you gutsy enough?’ And the answer is yes. This is what we live for, these moments. We like the spotlight.”

Meier said she is especially proud that the team has excelled after the season-ending injury to forward Morgan Stroman, a key player. “Doing what we’ve done after losing Morgan is a real statement, a real testament to our seniors and the rest of our players who have stepped up to fill in. That was a huge, huge loss, and we had to reinvent ourselves a little bit.”

The Hurricanes have won 39 home games in a row, the second-longest active streak in the NCAA behind Stanford’s 76. They beat Florida State 67-60 on Sunday after the Seminoles tied the score late in the game.

“It was another example of our players handling pressure very well,” Meier said. “That was a really intense game, and we had to grind it out, grind it out and not panic when they tied it. We’ve won all different ways this season, and that’s something we couldn’t say in the past.”

UM’s final regular-season home game is at 1 p.m. Sunday against Boston College. Seniors Shenise Johnson, Riquna “BayBay’’ Williams and Sylvia Bullock will be honored.