<p>And to elaborate a bit, my sense is that this is a huge reach. Keep in mind that the average math SAT for Caltech admits is in the neighborhood of 780; I imagine that anyone admitted with a significantly lower score must have some extremely compelling achievement or quality. Meanwhile, any AP score lower than 5 is (in the Caltech pool) wayyy below the median. And although Caltech doesn’t completely ignore things like “violinist” and “stage manager,” they’re rather marginal pieces of the application. Devotion and aptitude in math and science are by far the biggest components.</p>
<p>If you want, apply. Just know that from the information you list, it’s extremely unlikely.</p>
<p>(When you get your SAT II results, you can be more certain. Considering your other stats, you’d probably need an 800 on the Math IIC and 750+ on the others to come closer to competitiveness.)</p>