Chances for several schools

<p>Now, I understand that for a lot of schools, things can be very picky and there's no way to get an "accurate" chance. However, I'd like to know if I'm way out of my league or not. The schools that I'm looking at primarily are Columbia, UPenn, Carnegie Mellon, and Cooper Union for engineering, but I feel like my application isn't particularly strong</p>

<p>SATs: 2120
Math: 800
CR: 670
Writing: 650
SAT IIs: haven't taken yet, but will take Physics and Math Level 2
GPA is 4.0</p>

<p>AP Classes Thus Far:
Euro History
US History
Calculus AB</p>

<p>AP Classes my Senior Year
Physics
Gov
Psychology
Statistics</p>

<p>Dual Enrollment:
Western Civilizations II
Physics II
Calculus II</p>

<p>Extracurriculars:
Choir/ Select Choir/ State Level Choir
Concert Band/ Jazz Band
Marching Band
HS&Community Theater
Reading Olympics and my school's Gifted program</p>

<p>Will also do my senior year:
Physics Olympics
Hi-Q
Cross Country</p>

<p>Legacy:
UPenn: my dad, 2 uncles, and my mom worked there</p>

<p>I was planning on applying ED to Columbia, as that is by far my highest choice. However, looking at other people's chances on here, I feel like with all of my top picks there's no way I'll make it.</p>