Some sample games in algebraic notation:
Scholar's Mate:
1.e4 e5 2.Qh5 Nc6 3.Bc4 Nf6 4.Qxf7#
Smothered Mate:
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.0-0 Nf6 5.Re1 0-0 6.c3 Qe7 7.d4 exd4 8.e5 Ng4 9.cxd4 Nxd4 10.Nxd4 Qh4 11.Nf3 Qxf2+ 12.Kh1 Qg1+ 13.Nxg1 Nf2#
Scholar's Mate:
1.e4 e5 2.Qh5 Nc6 3.Bc4 Nf6 4.Qxf7#
Smothered Mate:
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.0-0 Nf6 5.Re1 0-0 6.c3 Qe7 7.d4 exd4 8.e5 Ng4 9.cxd4 Nxd4 10.Nxd4 Qh4 11.Nf3 Qxf2+ 12.Kh1 Qg1+ 13.Nxg1 Nf2#
Early trap in the Queen's Gambit Accepted:
1.d4 d5 2.c4 dxc4 3.e3 b5 4.a4 c6 5.axb5 cxb5 6.Qf3 Nc6 7.Qxc6+ Bd7 8.Qa6 1-0 {Black resigned here, as he will be down a Knight the entire game, forced to sacrifice on c6 rather than allow the Rook on a8 to be captured}
1.d4 d5 2.c4 dxc4 3.e3 b5 4.a4 c6 5.axb5 cxb5 6.Qf3 Nc6 7.Qxc6+ Bd7 8.Qa6 1-0 {Black resigned here, as he will be down a Knight the entire game, forced to sacrifice on c6 rather than allow the Rook on a8 to be captured}
The Opera Game:
1.e4 e5 2.Nf3 d6 3.d4 Bg4 4.dxe5 Bxf3 5.Qxf3 dxe5 6.Bc4 Nf6 7.Qb3 Qe7 8.Nc3 c6 9.Bg5 b5 10.Nxb5 cxb5 11.Bxb5+ Nbd7 12.O-O-O Rd8 13.Rxd7 Rxd7 14.Rd1 Qe6 15.Bxd7+ Nxd7 16.Qb8+ Nxb8 17.Rd8# 1-0
1.e4 e5 2.Nf3 d6 3.d4 Bg4 4.dxe5 Bxf3 5.Qxf3 dxe5 6.Bc4 Nf6 7.Qb3 Qe7 8.Nc3 c6 9.Bg5 b5 10.Nxb5 cxb5 11.Bxb5+ Nbd7 12.O-O-O Rd8 13.Rxd7 Rxd7 14.Rd1 Qe6 15.Bxd7+ Nxd7 16.Qb8+ Nxb8 17.Rd8# 1-0
Now let's try to reproduce a very short example where Black foolishly helps White mate him. You will start!
- e4
1..f6
- d4
2..g5
- Qh5# 1-0
Good job in going through the move order. Now let us play a real game, where each player decides each move. I will start!
1.d4