Well you should make sure that on an application, you note the reasons why you got those F's so that colleges aren't balking at your grades. This usually goes in the "additional information" section of applications at the end. Sports are good, but if you dropped them at some point without a clear reason why, the time that you spent becomes irrelevant because colleges look at that as you dropping commitments.
Now if you have a good reason (ex. Family emergency, focusing on more challenging academics, etc.), then that's okay, but in general, never good to have EC's which start early in high school and then drop off. I think you already know, but your Math II subject test is not an impressive score, especially for someone who wants to go into engineering.
Although subject tests are not required at either system of schools, engineering programs are more selective and competitive and thus many applicants have at least 600+ if not 700+ scores in multiple science and math subject tests. You should look into this because I'm not too familiar with it myself, but there's a test called the TOEFL which is usually meant for non-native speakers. I'm not sure if you have to be an international applicant living in another country to be able to take it, but if you do, it's meant to help those who aren't native English speakers, and certain sections of it will help to compensate for those on the SAT that require a native grasp of English.
At the same time, you should still focus on the SAT and work on getting your score up. I'm not going to lie; your chances aren't great at either school you listed. Cal Poly SLO is one of the best CSU's and UC Irvine had the 3rd lowest acceptance rate in the UC system this year behind UC Berkeley and UCLA, so it's not joke either.
Here's some food for thought on both of them: Cal Poly SLO: Engineering was by far the most popular school within the university that students applied to; there were more than 9,400 applicants, roughly 37% of whom were accepted. The average GPA and SAT scores were significantly higher than other programs within the university; average GPA (probably weighted) was 3.94, and the average SAT out of 1600 (Critical Reading + Math) was 1299. Your unweighted GPA is probably around a 3.7-3.8 which is good, but your SAT score out of 1600 is just 890, well below the average for the engineering program at SLO.
Source: http://admissions.calpoly.edu/prospectiv... UC Irvine: Engineering is the second most popular school within the university. They don't provide stats specific to the engineering program, but the average GPA of the entire freshman class is a 3.99, and they only allow for so many honors courses to be weighted (8). The average section scores on the SAT were: SAT Critical Reading: 540-670, SAT Math: 590-710, and SAT Writing: 560-690.
You can expect about a 50-100 point increase per section for the selective engineering program. Source: http://www.admissions.uci.edu/admissions... If I were you, you can certainly still apply to these schools, but they're both reaches, so I would recommend looking at lower UC's (Merced, Riverside, Santa Cruz) and CSU's that are NOT the following flagship campuses: Pomona, San Jose, Long Beach, San Diego, Chico.
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