Chances for Princeton or MIT?

<p>I'll be applying to colleges in the fall, and I keep going back and forth between being confident with my application and a little nervous, and I was just wondering if anyone could help me out with my chances for Princeton or MIT. Here are the important bits:
Academics-
-Very Good, but not amazing, rural, public school in massachusetts
-Ranked 3/250, all A's in only honors and ap classes, 1 year orch, 3 years Jazz ensemble
-Took AP calc (ab) exam as a freshman (did bc as a sophomore, but not with the class)
- Independent math since then, taught myself multivariable, lin. alg, dif eq, and a full course in analysis (using Rudin's "Principles"), now working on Artin's "Algebra"
-Took AP Chemistry and Psychology as a junior, though my school doesn't usually allow it
Scores-
-SAT - 2190 (740-760-690)
-SAT II Math ii -800, Chem -770
-5's on AP calc (ab & bc), Euro, and likely Chemistry, Psych, and English, 4's on Stats and Physics C-mech and likely Music Theory
-Gold National Spanish Exam 3 yrs
EC's-
-Varsity Sailing - 4 years, captain jr and sr, and mvp so, jr
-Varsity Swimming - 4 years, (likely) captain sr
-Model UN - Club vp so jr sr
-Student Council & Senate Member 4 years
-NHS</p>

<p>-Math department award fr, so
-Spanish department award jr
-Trig-star competition state champ so</p>

<p>I know I'll have very strong recommendations, and a lot of what I did had never been done at my school before (esp. math), but I'm worried about my relatively low scores. I'll probably do SAT's a second time, but would a low-mid 2200 range detract from my app? Also does anyone know how to show the math work I've done to schools? I have like 40 typed pages of notes and problems I've done but I don't know to whom I should show it, and how to get in contact with them. I live a good 2 hours from boston and can't feasibly work with professors/do research at a university, though I've participated in some of MIT's ESP programs, not that that says as much as I want to about my experience.</p>

<p>Any advice/evaluation can help, thanks in advance!</p>

<p>Your record sounds impressive. Ask your GC and teacher LOR to emphasize your accomplishments that have never been done before at your school. You are not just competing with your current high school class, but with those in its recent history. It is far more impressive to state, “Suzy is one of the best students I have had in my ten years of teaching advanced math” than the standard, “Suzy is at the top of her class”.</p>

<p>I’ll say your SAT is way below average. People who get into the Ivy’s basically 2300 is a must. Judging from your exceptional ability in math, I suggest you give it a couple more shots. Best of luck!</p>

<p>ImStarry- A necessary 2300 is completely wrong. There have been thousands of people accepted with an SAT around 2150, and many people only have 2250-ish SAT’s.</p>

<p>ImStarry - you are wrong about the SAT score. Princeton’s 25%/75% range for SAT scores is 2120/2390. Obviously, OP is already in this range, meaning that more than a quarter of Princeton’s current freshmen have lower scores. Additionally, OP’s having two excellent SAT II scores mitigates this even further.</p>

<p><a href=“http://registrar.princeton.edu/university_enrollment_sta/common_cds2012.pdf[/url]”>http://registrar.princeton.edu/university_enrollment_sta/common_cds2012.pdf&lt;/a&gt;&lt;/p&gt;

<p>Thanks guys, I’ll definitely do the SAT’s one more time, just to make it less of a factor. How about for showing professors/ schools my work so far?</p>