Here’s a great way to explore openings and see the name of each one:
The steps method is a great way to teach chess and the books are available below or shredder has the first three steps as software.
The method quite rightly points out that tactics and strategy are more important to teach before positional play at an early age and the steps method is a great way to do that.
Here’s a mind map of e4 chess openings created with MindMeister
By the way all images are courtesy of http://stockfishchess.org which is a great minimal app to show the most popular moves.
Shredder has a great database of the opening moves containing about 16 million games.