Learning elementary checkmates is a first step towards learning endgames. Today I’m going to discuss the checkmate with rook and king against the king. Students must have a prior knowledge of checkmate with a queen and king and also stalemate. In case you need some guidance here is the nice article written by Richard James.
In order to do checkmate with rook and king, I have divided the process into 3 parts.
1) Reduce the box. For example your rook is on a1 and opponent king is on d5 then the opponent king has freedom to move in (from b2-b8-h8-h2-b2) box and our aim is to reduce that box to force the opponent king to move to the edge of the board. As we all know that a queen is alone able to force the opponent king to move to edge of the board, but the rook can’t do this so you need your king to be there to support the rook.
2) Once the opponent king is at edge of the board, keep your rook away.
3) Try to force the position where both kings are opposed to each other with a distance of a square.
Here is an example to illustrate the process.