The Exchange Sacrifice
Give a rook for a bishop or a knight — when you can name what the two points buy: material back, a queen, or the king.
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Lesson Content
Black is a knight up; White has three pawns for it. The knight on f7 is the only black piece that covers e5 — and e5 is the square from which the knight on c4 would check a king on f7 and attack the rook on d3 at the same time. ♖︎xf7+ costs two points on the count: rook (5) for knight (3). But the recapture ♔︎xf7 does two things for White: the guard of e5 is gone, and the king now stands on a square the knight checks from e5. The sacrifice buys a fork, and the fork wins the rook back. Question for your own games: after the recapture, where does the king stand, and what does my knight reach from there?
Black is a knight up. Pay two points to drag the black king onto a square where your knight can check it and hit the rook at the same time.
♖︎xf7+ — rook for knight, with check. ♔︎xf7 is the natural reply; if the king steps aside instead, White has won a knight and keeps the rook. On f7 the king stands a knight's move from e5, the one black piece that covered e5 is gone, and e5 also attacks the rook on d3. ♘︎e5+ next forks the king and the rook on d3, and the rook comes back.
Alternative Moves
The king has landed on f7. Collect more than you paid.
♘︎e5+ — check, and the knight attacks the rook on d3 as well. Black must move the king, and ♘︎xd3 follows. Count the whole sequence, not the first capture: White gave a rook (5) and took a knight and a rook (8). Knight against knight, and White is three pawns up — a won endgame. The two points were never lost; they were out for one move.
Alternative Moves
A second payoff: a passed pawn. The pawn on e6 is two steps from queening, and one black piece stops it: the knight on d6 covers e8. No other black piece can get there in time — the rook on d2 cannot reach d8 past the knight on d4, and the king on h7 is two moves away. The rook on d8 attacks the knight; the pawn on c7 defends it. On the count, rook for knight loses two points. But the question is not what the knight is worth; it is what the knight prevents. Here it prevents a queen.
Your e-pawn wants to queen. Remove the one black piece that guards its queening square — even at the price of your rook.
♖︎xd6 — rook for knight, and the guard of e8 is gone. After cxd6 no black piece sees e8, and e7 next move threatens a queen Black cannot stop: ♖︎e2, to get behind the pawn, loses the rook to ♘︎xe2, and the knight on d4 blocks the road to d8. The order matters: remove the guard first, push second.
Alternative Moves
Nothing guards the queening square any more. Make the threat Black cannot meet.
e7 — the threat is e8=♕︎, and Black cannot meet it. The rook cannot get behind the pawn: ♖︎e2 runs into ♘︎xe2, and the knight on d4 blocks the road to d8. Black's last try is h4+, hoping to drag the king onto the fourth rank so that ♖︎xd4 comes with check and the rook reaches e4 — step off it with ♔︎f3 (♔︎xh4? ♖︎xd4+ and ♖︎e4 catches the pawn), and after ♖︎xd4 e8=♕︎ makes a queen. Final count: White gave a rook and a knight, took a knight and made a queen — queen against rook, and White is winning.
Alternative Moves
A third payoff: the king. Black is a knight up for two pawns, but look where Black's pieces are: the queen on b7 and the rook on e1 are far from the king on g8, and the only piece next to it is the knight on f8. Now look at the white rook on f6. It stands on the long diagonal from d4 to h8, in the way of its own queen. ♖︎xf8+ does two jobs with one move: it removes the king's last defender, and it clears f6 so the queen reaches g7 and h8. Ask of every sacrifice: does the capturing piece also unblock something of mine?
One black piece shields the king. Remove it and open a line for your queen with the same move.
♖︎xf8+ — rook for knight, with check, and the diagonal behind it opens. Black has two legal moves. ♔︎h7 runs into ♕︎h8 mate at once, the queen protected by the rook on f8. So ♔︎xf8, and the queen comes in with checks: ♕︎h8+, then a check along the seventh rank — ♕︎h7+ if the king went to f7, ♕︎g7+ if it went to e7. The king has to leave the rank, and ♕︎xb7 wins the queen: a skewer along the seventh rank. White gave the exchange and won a queen. Until the material came back, every white move was a check.
Alternative Moves
White's pawns on b6 and c5 are far advanced, and the bishop on d6 already covers b8. One black piece holds everything together: the bishop on e4 covers c6 and defends b7. Which move wins?
White plays ♖︎xb5, and Black takes back with axb5: a rook for a bishop. What does White get for the two points?
Key Takeaways
- A rook for a minor piece costs two points. Pay them only for a payoff you can name.
- Ask what the minor piece prevents, not what it is worth: a fork, a queening square, a line to the king.
- Material back: the recapture can drag the king onto a square your knight checks — with the rook on the same fork.
- Passed pawn: remove the guard of the queening square first, push second — the order decides.
- King: take the last defender with check, then keep checking until the material comes back.
Now play it through
Step through every move on a real board, try the wrong ones, and ask Knighty why they fail.
Related Lessons
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