{v.} 1. To go from a lower to a higher place. * /John stepped up onto the platform and began to speak./ 2. To come towards or near; approach. * /The sergeant called for volunteers and Private Jones stepped up to volunteer./ * /John waited until the teacher had finished speaking to Mary, and then he stepped up./ 3. To go or to make (something) go faster or more actively. * /When John found he was going to be late, he stepped up his pace./ * /After we had reached the outskirts of town, we stepped up the engine./ * /The enemy was near, and the army stepped up its patrols to find them before they got too close./ 4. To rise to a higher or more important position; be promoted. * /This year Mary is secretary of the club, but I am sure she will step up to president next year./ Contrast: STEP DOWN(3).
STEP UP
Meaning of STEP UP in English
Dictionary of English idioms . Словарь английских идиом. 2012