Your baby is super-smart. How could she be otherwise with the gifting of such a talented genetic code? Unfortunately, even if they seem to be nodding in agreement, daycare workers may not necessarily agree.
Although your child may be ahead of the curve with the ABCs and 123s, any daycare worker worth her mettle will know this penchant for knowledge evens out among the masses -- usually by the second grade. This means that even the most precocious child (at age 2, anyway) will likely be an average scholar in the end.