<p>If you are indeed a “west coast kid”, then I would recommend Univ of Wash’s 6 week free math program “SIMUW”. </p>
<p>There are many different programs, some are better than others, but none are needed.</p>
<p>If you are able to do an internship, particularly for a lengthy period of time, then that is good.</p>
<p>Take classes that interest you, but yes, you should take AP Calc BC.</p>
<p>Make sure your summers are meaningful (to you). That will be more impressive/important than saying “I went to XYZ camp this summer”. If you spend your summer teaching kids with physical disabilities how to ride horses (great occupational therapy!), then that is awesome, even to Caltech!</p>