Correct.

NFHS 5-6 Note 4: If a technical foul occurs after the ball has become dead to end a quarter or extra period, the next quarter or extra period is started by administering the free throws. This applies when the foul occurs after any quarter has ended, including the fourth quarter, provided there is to be an extra period. If there is no way to determine whether there will be an extra period until the free throws are administered, the free throws are attempted immediately, as if the foul had been part of the preceding quarter.

NFHS Case Book - 5.6 COMMENT B: If a technical foul occurs after the ball has become dead to end a quarter, the next quarter is started by administering the free throws. This applies even when the foul occurs after the first half has ended. It also applies when the foul occurs after the second half has ended, provided the score is tied. If the score is not tied, the free throws are administered unless the outcome of the game will not be affected. If the outcome is not already decided, the free throws are attempted immediately as if the foul had been a part of the fourth quarter. In this case, if any overtime period is necessary, it will start with a jump ball. The division line throw-in following the technical foul cannot be carried over to the overtime as the fourth quarter ended with the last free throw. (5-6-4)

NCAA 5-6 : Art. 6. When an indirect technical foul, a direct technical foul, a flagrant technical foul or (men) an intentional technical foul occurs after the ball has become dead to end a period, the next period shall be started by administering the free throws and play shall resume at the point of interruption by awarding the ball at the division line on either side of the playing court. This shall apply when the foul occurs after the first half has ended or after the second half or any extra period has ended, provided that there is to be an(other) extra period.

A.R. 123. Playing time has expired with the score tied and (a) A1 is assessed with either an indirect or direct technical foul, (b) A1 is assessed with a flagrant technical foul or (c) A1 is assessed with a (men) intentional technical foul. RULING: In (a), the extra period shall start by awarding a player from Team B two free throws for the indirect or direct technical foul that was assessed to A1. Play shall resume at the point of interruption which would be a jump ball. In (b), A1 shall be ejected and the extra period shall start by awarding a player from Team B two free throws for the flagrant technical foul that was assessed to A1. Play shall resume with a throw-in for Team B at the division line on either side of the court. In (c), the extra period shall start by awarding a player from Team B two free throws for the (men) intentional technical foul that was assessed to A1. Play shall resume with a throw-in for Team B at the division line on either side of the court.

While it doesn't make much difference, in FED ball, you'd shoot A1's FTs first, followed by the FTs for the T if needed.

Doh! You're right. I was thinking Fed and still had POI on the brain. Not sure why.