The field in the N.C.A.A. women’s basketball tournament will be down to single digits by Saturday night. The round of 16 action on Saturday airs starting at 11:30 a.m. Eastern time on ESPN and will be played at the regional sites in Wichita, Kan., and Bridgeport, Conn.

The slate features established programs competing to maintain their high-achieving status quos, as well as a few upstarts fighting to prove that their early round wins weren’t flukes. Below are a few things to watch for in each of the day’s games.

All times are Eastern.

Michigan and South Dakota vie for a chance to make history.

Before last season, the No. 3-seeded Wolverines had never played in the round of 16. No. 10-seed South Dakota left “unprecedented” in the dust with its first-round win this year — the only N.C.A.A. tournament victory the school has ever had.

In their game on Saturday (6:30 p.m., ESPN2), Michigan and South Dakota will be competing to continue breaking new ground. This is the senior forward Naz Hillmon’s last chance to push the Wolverines into the round of 8. So far, she’s played as if she’s aiming to make the most of it: She’s averaged 25.5 points over the first two games of the tournament while drawing defenders to open up her teammates.

Now she’ll face the Coyotes, who already shut down another highly regarded W.N.B.A. prospect — NaLyssa Smith, No. 2-seeded Baylor’s star senior forward — in the second round. South Dakota’s fifth-year players Hannah Sjerven, Chloe Lamb and Liv Korngable lead the team’s so far insurmountable defense, which Michigan — not a uniquely prolific offensive team — will have to find an answer for. Either way, at the end of the game, one team will be going where it’s never gone before.

North Carolina State fights for redemption.

Last year, the Wolfpack made history by earning their program’s first-ever No. 1 seed in the N.C.A.A. tournament. The team, which has accrued the third-most N.C.A.A. tournament appearances without winning a title in Division I, seemed to have a real shot at a national championship. Then, the unthinkable happened: N.C. State lost in the round of 16 for the third straight year.

This year, the top-seeded team’s path to the Final Four is even more challenging. The Wolfpack will face the No. 5 seed Notre Dame (11:30 a.m., ESPN), one of only three teams to beat them during the regular season. The Fighting Irish will be fresh from obliterating No. 4-seeded Oklahoma on the Sooners’ home court, 108-64, cracking the century mark for the first time in their program’s tournament history.

The Wolfpack will need Elissa Cunane, their 6-foot-5 senior center and leading scorer, to dominate around the basket. She scored just 4 points in N.C. State’s second-round matchup, but it made little difference because the Wolfpack’s experienced guards were hitting shots from behind the arc and put the game out of reach almost immediately. The Irish don’t have a great matchup for a player with Cunane’s size and skill, though, so the weight of the win will rest primarily on her shoulders.

Indiana tries to leverage its chemistry to take down a women’s basketball juggernaut.

Even in an off year — which this season has been for Connecticut, thanks to a slew of injuries and an uncharacteristic five regular-season losses — the Huskies are still a formidable opponent. They would be even if the N.C.A.A. selection committee hadn’t slotted the second-seeded team in the Bridgeport regional, where they will essentially be playing in front of a home crowd.

Nevertheless, the No. 3 Hoosiers will try to knock out Connecticut before the round of 8, which has not happened since 1993. When they play on Saturday (2 p.m., ESPN), it will be the first time the teams have met in the regular or postseason. They have very different strengths.

Connecticut’s centerpiece is the sophomore phenom Paige Bueckers, who is still regaining her footing after missing a chunk of the regular season with a leg injury, while Indiana will rely on the senior guard Grace Berger, who hit the tough layup that barely carried the team over No. 11 Princeton in the second round. Joining Berger in the starting lineup for the Hoosiers are two fifth-year guards, Ali Patberg and Nicole Cardaño-Hillary, who have provided veteran leadership all season and pushed the team to the Big Ten championship game.