Counting on
Counting a collection, or reciting a sequence of number words, from a point beyond the beginning of the sequence.
For example, when a child has counted to established that there are 6 objects in a collection and is then asked “How Many?” after several more are added might count on from 6 saying “7, 8, 9, ...” to reach the total. This is considered a more sophisticated strategy than counting the whole collection from 1.