Dependents or derivative beneficiaries of an EB-5 Applicant will get the same Immigration Benefits as the principal Applicant. That is, conditional permanent residency and then “full” permanent residency. Each family member will obtain his or her own status as a permanent resident. That said, each state and each college will be different in how they handle their tuition for international students versus permanent residents versus citizens, and you will likely have to discuss the particulars of this matter with the college.
Conditional Permanent Residents (CPRs) and Lawful Permanent Residents (LPRs) are treated the same. They are treated much better that "International Students". They are usually treated much like citizens in determining if "out-of-state" tuition applies. If you live in Arizona and send your kid to University in California, you should expect to pay out-of-sate rates BUT not International Student rates. However, as a "new" immigrant, your kid will not qualify for most grants, or even certain student loans, or scholarships. That said, certain privately funded scholarships are limited to certain ethnic or religious groups, or citizens/nationals of certain countries only. So not all hope is lost as to defraying the costs of your child's education.
Your dependent child will be considered to be a U.S. permanent resident and pay tuition fees accordingly. The permanent resident child will not be considered to be an international student, eg F-1 student as this is a non-immigrant status. If your child has established residency in a particular state then they do not have yo pay out of state tuition fees. But as a permanent resident if your child decides to attend a college in another state then the child will have to pay out of state tuition.