NFHS Rule 5 (with emphasis on end of quarter where foul happens)
SECTION 6 BEGINNING, ENDING A QUARTER OR EXTRA PERIOD
ART. 1 . . . Each quarter or extra period begins when the ball first becomes live.
ART. 2 . . . Each quarter or extra period ends when the signal illuminates or sounds indicating time has expired, as in 1-14.
EXCEPTIONS:
1. If the ball is in flight during a try or tap for field goal, the quarter or extra period ends when the try or tap ends.
2. If a held ball or violation occurs so near the expiration of time that the clock is not stopped before time expires, the quarter or extra period ends with the held ball or violation.
3. If a foul occurs so near the expiration of time that the timer cannot get the clock stopped before time expires or after time expires, but while the ball is in flight during a try or tap for field goal. The quarter or extra period ends when the free throw(s) and all related activity have been completed. No penalty or part of a penalty carries over from one quarter or extra period to the next, except when a correctable error, as in 2-10, is rectified. No free throw(s) shall be attempted after time has expired for the fourth quarter or any extra period, unless the point(s) would affect the outcome of the game.
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.
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"Ask not what your teammates can do for you. Ask what you can do for your teammates"--Earvin "Magic" Johnson
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