GLuis103,
Are you flying for an operator or doing your IR training?
In order for the reason that 'DA' has published on what is a non-precision to become clear you need to do some reading on CDFAs (Continuous Descent Final Approaches). Your school or operator should be able to provide you with some reading material. A CDFA allows you to fly a continuous descent from the FAF to the DA(MDA) and avoids inefficient level segments in the approach and a level off from the MDA to the MAP.
Just as a quick internet find, have a read of the following:
Continuous Descent Final Approach
If you are practicing the old 'dive and drive' (i.e. leveling off at the platofrm altitudes and then the MDA to the MAP) then you will fly to an MDA as you described and fly level in the different segments along the approach.
If you're flying a CDFA then you continue to the MDA(DA) + an appropriate additive if applicable and treat it like a DA on a precision approach. But remember it is still an MDA so you cannot descent below it, hence the additive to take into account height loss during a missed approach in most types. Note that during a CDFA platform altitudes become SMAs (segment minimum altitudes) and your descent path should be calculated to cross at or above them.