Your team must have an offense(s) for countering a defensive full-court, 3/4-court, or half-court press. Without a plan, your team will become confused, frustrated, will panic, turn the ball over, and allow the opponent easy transition lay-ups.
On the other hand, if your players stay calm and have confidence in your plan of attack, you can burn the press and get easy lay-ups of your own. We actually like it when teams press us, and look at it as an opportunity to get a 2-on-1 situation and a lay-up (or free-throws). But you must have a plan and practice it... be prepared.
Good scouting helps... if you know in advance what type of press your opponent uses, you can prepare for it. During the game, you or your assistant(s) should focus on the press set-up... are they man-to-man (or match-up), or are they is a set zone pattern? Is the press full-court, 3/4 or 1/2 court? Do they deny, allow or trap the first pass? Do they force sideline or to the middle?
These are all things that will help you as the coach to make proper offensive adjustments. Remember that after the first pass or first dribble-attack, most press defenses are very much the same, and if you can attack one, you can have success against any press defense.
There are three catgories of presses based on the area of the court being pressured... full-court ("80" - a defender on the inbounder), 3/4-court ("60") and half-court ("40") presses. Have a plan to counter each type of press.
80-60-40 Press-Breakers... this has everything you need. "80" - for full-court presses. "60" - for 3/4-court presses. "40" - for half-court presses.
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Put in a new offense or defense this season.
Run a special inbounds or buzzer-beater play and look like a genius!
Use a special defense to shutdown a star player.
Teach your team how to break a press.