The scores came up for a dance and the moms were clapping and happy.
At every dance competition we've been to (3-4 a year, for the past 8 years) awards are given out at the end of each competition segment. There are 1-2 segments each day, usually divided by solos/groups and age. Depending on the total score given by the 3-4 judges, a performance is awarded a medal in a range of scoring. There is usually bronze, high bronze, silver, high silver, gold, high gold, and platinum (or other silly names, like diamond, ultimate gold, etc). You could have 5-6 performances get gold, which sounds a bit screwy to me.

Announcers do not say the score total at this time. Every dancer in every dance gets a medal/pin/ribbon or somesuch trinket.
If there are enough competing entries in a certain category, then they award trophies, scores are announced, placements announced. Then the big winners are announced - solos by age and gender, everything else sort of lumped together, barely sorted by age to a point. The thing to listen for is 'Critic's Choice nomination' at this time. Finally, the big overall winners - could be a scholarship solo, and the Critic's Choice final winner, are given the big trophies, the money, etc.
When I watch Dance Moms, I can tell this part of the show has been edited to death, manipulated, and scripted beyond nauseum. It makes me think that most of these 'competitions' are fake ones created by the show, maybe paying to use the name, but there are not nearly enough people there to be a real competition.