Indeed the frequency of use of this phrase is https://books.google.com/ngrams/graph?content=should+know+better&year_start=1800&year_end=2008.
Although it's not that much frequent comparing to https://books.google.com/ngrams/graph?content=should+know+better%2Chad+better&year_start=1800&year_end=2008.
('going up', not 'growing up') CJ
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