Examine the pole saw to make sure that the saw part is in good condition and that it is firmly attached to the pole. All the teeth on the saw blade should be sharp and in alignment. There should not be any missing teeth.
Approach the branch of the tree that you wish to cut and make sure that there are no obstructions between yourself and the limb you wish to cut. Consider removing any obstructions, which usually come in the form of other branches.
Begin your cut as close to the main trunk as possible.
Cut the underside of the branch first. Most likely this cut will come in the shape of a "v." If the branch that you are cutting is any distance above your head, then you saw will not fit directly underneath the branch. Start first on one portion of the underside of the branch, then come at the branch from the other direction. Eventually, you will completely break through the bark on the complete bottom half of the limb. Keep sawing at the bottom until you have progressed a ways into the woody part of the branch.
Start cutting from the top side or at least as close to the top side as you can. Again first break through the bark until a completed cut circumnavigates the whole branch. Now bear down on the saw until you feel that you have cut deep into the limb. If you can place you saw on the other side of the branch, do this and again take your cut deep into the branch.
Cut through the branch until it drops. Make sure you are not underneath the part of the tree that is about to come down. This is where the length of a pole saw comes in handy, for it allows you to stand back and finish the cut from the side, where you will not be harmed by any falling branches. Most branches that you cut with a pole saw will be rather small and bushy, so if they do land on you then they will cause no problems. Bigger branches often require different techniques.