nowadays lots of iOS iPhone application got a vertical menu and sliding views.
It looks like this:
This looks like a standard UITableView, which, when you click on a row, pushes another view controller's view onto the screen (but you would usually have a disclosure indicator, a ">", not a check mark in the row).
Apple has an example in the docs called TheElements. Have a look at that one and see if that's something like what you want. When you click on an element name in the table it slides another view with more information about that element over the table.