Academically, in order to be prepared for college, students need to have a good understanding of Algebra 2 possibly if able, Pre-Calculus not just for SAT's but, for placement tests once accepted to college. In regard to English, students need to be able to read at an advanced level, comprehend pieces of work, summarize, infer, etc. moving into the Science and Social Studies areas where problem solving and reflective thinking are both nurtured.
What your child can do is to keep reading as much as possible, increasing the level of demand as they move forward. You can also have your child take an online SAT practice test, to help you and they, to determine how far along they are in their mathematical skills. In being home schooled, look over the program provided to determine if the course material offered, are of a level to match the area public schools surrounding you.
Being home schooled is not a problem for those applying to and, attending college. Often, it is a plus as these students are already well versed in working independently. On the other hand, it is always important to keep up with reading and to be sure, your child's coursework at home, either matches or surpasses, what is covered at the public school.
1. Many many homeschool applicants I've read in the past were deficient in their math proficiency. This is a more difficult area to tackle through typical homeschool curricula, and it's often not quite as fun as literature, social studies, or science, but it's critical to the development of a whole student and should not be overlooked. Admissions counselors do not miss when mathematics are glossed over or seen as not as important.
2. Use as many teaching and learning styles as possible in the development of the homeschool education. I recommend a blend of online learning, boxed curricula, tutors, community college classes, personal investigation, and community learning centers, and peer learning groups. Colleges want to know a student can be successful in a standard classroom, too - after all, that's what they're offering.
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