Popular Strategies
There are a few strategies or moves popular amongst all levels of play. A few simple strategies to get you started are as follows: Castling, where one takes a rook and king and moves them simultaneously. The king moves two spaces two the rook while the rook jumps to the spot opposite the king on the board. If you move your king to the right, this is referred to as King-side castling and moving towards the queen is referred to as queen-side castling. Next, it is wise to learn En Passant; this move allows a pawn to be captured if it has made two moves forward, but would have been captured if it had only moved forward one square. Since a pawn can only move two squares forward on its first move, this is typically an early match strategy. Finally, there is the concept of promotion, in which one of the lower value pieces has moved to the end of the board and can now be "promoted" to a different piece, excluding the King piece.
Advanced Strategies
Once a player has become more advanced, it is time to use some higher level concepts. Higher-level chess players often use moves like a sacrifice to eliminate a lower level piece off the board to allow for another higher level piece to make a move in that direction. Other times, it is used to set up a trap on the opponent's piece. Similarly, it is common practice amongst elite players to hone in on a weakness in the opposing teams pieces and suffocate that area so the opponent cannot make any moves. Lastly, elite players will often exploit these weaknesses to set up a "double attack" where the opponent's piece cannot move without being captured by one of the opponent's pieces.