<p>If you’re exceptionally talented at math, I recommend preparing for the AMC, AIME, and USAMO. MIT has a place on their application specifically for one’s AMC/USAMO score. Caltech also significantly weighs USAMO qualifiers. It’s a very prestigious and recognized math competition. </p>
<p>Studying calc BC sophomore year is notable, but not extremely impressive. It’s not a hard course, and the material requires mostly memory with a little application. Qualifying for the USAMO or doing some form of research would look better.</p>