Wow! Amazing you were able to go until age 13 without the Internet, school-wise. You wrote that your oldest is going to be cyber schooled this year...but if he/she has been in a traditional school setting, I'm not sure how you have been able to go so long without the Internet! (Ditto to Kimberly, re thinking you'll be able to go without the Internet until high school!) In our school district, the children need the Internet at times for homework in elementary school. My kids had some web-based homework in the early elementary school grades. By middle school (age 11, 6th grade), there is a lot of homework that involves the Internet. The students are expected to check out their teachers' webpages daily, and if they don't, they are at a disadvantage. (Come to think of it, their elementary school teachers also posted often on their webpages, with the expectation that the kids would go to the pages. About 80% of the teachers in our school district have webpages for their students' use, and eventually all of the teachers will be required to have them.) While most children in my kids' classes have computers at home, others use it at the libraries...but I would prefer the Internet at home, where it is easier to monitor.
One of my daughter's middle school teachers went totally paperless, a great ecological move. That meant 100% of the homework assignments and reports had to be filed online.
We do not have any system on our computers that monitors the key strokes. We are strict re how the Internet is used, however, and we have computers set up in open areas, etc. Our kids also know that we can go on their accounts at any time, and that we have to have all passwords. If we were to find a "violation," there would be consequences that the kids don't want, and they have been pretty good about following our rules.