When you get down to it there are hundreds of different types of repair you could do to a shed roof.
How to fix shingles to a shed roof.
Roofing shingles come in strips that are generally about 3 feet long and 8 or 10 inches wide.
Types of shed roof repairs.
In order to make your roof water tight and to eliminate wind infiltration first place tar on the bottom edge of the roof and lay a row of roofing shingles upside down all the way across the bottom of the roof.
These tabs form your capping.
Use four to six nails to attach each shingle.
At the ridge cut the shingle strips into single tabs.
Position a three tab shingle at the bottom left hand corner of the roof so that it covers the starter shingles and nail it into place.
Outer layers such as shingles and underlayment sheathing or plywood and roof rafters.
Start at the front of the roof with the hexagonal tab of the first shingle facing towards the back and fix down on both sides.
Start installing roof shingles.
I do this on my shed but these basic principals can be applied to your house as well.
In this video i show you the basics of roofing.