To get the right answer, we need more info, because matching the fan to the mobo's control method is important.
General rule: a mobo can power AND control the speed of fans when they are plugged into a mobo header, as long as that header uses the speed control method that matches what the fan can do. Such automatic control is based on actual temperature measured by a sensor built into the mobo, and the system will change the fans' speeds according to that temperature. As a bonus, the mobo can read the fan's speed and display that for you in the BIOS Setup screens or by using utility software usually provided on the CD that came with the mobo.
Any fan connected instead to a PSU power output of any type can NOT have its speed controlled...