Pawn Races and the Rule of the Square
Players learn a practical shortcut, the rule of the square, for deciding whether a king can catch a running pawn, connecting directly to the promotion idea from Week 1.
This brings the whole program full circle. In Week 1, a pawn racing to promote was the entire game. Now players get a clever tool to judge those races instantly.
- Imagine a square box whose side stretches from the pawn to its promotion square.
- If the defending king can step into that box on its move, it can catch the pawn before it promotes.
- If the king cannot reach the box, the pawn promotes and makes a queen. It is a race the pawn wins.
- This saves you from counting move by move. You just check: is the king inside the square?
Demonstrate both outcomes on the projector: one position where the king catches the pawn, one where it does not. Students love that a geometric trick replaces tedious counting. It feels like a cheat code.
Set up simple king-and-pawn-versus-king races. Players use the rule of the square to predict the result, then play it out to check. Getting the prediction right builds real confidence.
Tie it back to Week 1: "Remember the very first game, when getting a pawn across was everything? You now have a tool the pros use to judge those races. Look how far your chess has come."