A three-pointer by Stepanian gave the Falcons an 18-17 lead with 2:17 left in the second quarter. However, Burroughs senior guard Chelsea Rhamdeow made a three-pointer at the buzzer to give the Indians a 22-20 halftime advantage.
The Indians limited the Falcons to 16 second-half points, including six in the fourth quarter. Burroughs broke it open when Shank recorded a steal and layup to make it 39-30 with 27.2 seconds left in the third quarter.
Burroughs received 10 points and eight rebounds from sophomore center Aysia Shellmire.
The teams will meet again at 5 p.m. Jan. 24 at Burroughs.
Muir 51, Burbank 49: The Bulldogs just missed pulling out a major upset Tuesday in the Pacific League opener at home.
Burbank (7-6) outscored the defending champions, 20-15, in the third quarter to take a 40-38 lead into the fourth quarter.
Burbank received 11 points from Courtney Seidler and a fine all-around game from Evelyn Abrami, who had six points, nine assists, six steals and two blocks.
Providence 53, Yeshiva 34: The Pioneers got off to a productive start in Liberty League play Tuesday with a victory at home.
Providence jumped out to an 11-4 advantage after the first quarter and held a 30-15 lead at the half.
Catherine Saint paced Providence with 12 points. Teammate Rita Khatchadourian chipped in 11 points.
Crescenta Valley 79, Burroughs 46: It was a tough Pacific League opener for the Indians (2-12) Tuesday, as they fell to the Falcons.
Muir 65, Burbank 54: The Bulldogs (9-5) couldn't stop Deshawn Hayes, who scored 29 points Tuesday to lead the Mustangs to the win in the opening Pacific League game for both teams.