To "master the standards" means to fully understand and excel in all the guidelines and expectations set for a particular subject or area of expertise. It involves becoming highly proficient and skilled in meeting those standards. Full definition
The accountability system includes an optional competency - based education and assessment pilot with a commitment to ensure students master standards. (kentuckyteacher.org)
Even the most creative of them need to start by mastering the standards of the past and learning the rules of art composition. (ridgemeadowsdoulaservices.com)
Be sure to master the standard Turkish Get Up before moving onto this drill. (onnit.com)