Have you read Chessking47's (CK47's) article named Mating Patterns? If not, please head over there and solve the puzzles. I would've have never knew this if it weren't for IM Silman!
First, I left off with Legall's Mate, so I will do Morphy's Mate.
The Morphy's mate is a Rook and Bishop mate, and the bishop is checking while the rook is making the mating net. (I will create Chessopedia article Mating Net)
Before you start the puzzle, take a deep breath and make sure you understand everything you used to know about chess. Support points, point count, and I won't say anymore. White seems to be in trouble in this puzzle because he is down material. However, white can give away more for something better!
Wasn't that puzzle fun? Now, Morphy's Concealed Mate is going to make you think. Do the same process! It's generally the same as Morphy's Mate, but White has to cut off a key defensive pawn before giving the final blow. Hint: Mate in 5!
When you finish this puzzle, I want you to note that Black would survive 2. Rg1+?? when 2... f6 blocks the bishop out of the attack.
Next up, Reti's Mate.
Here's a Reti puzzle for you! Solve it, please. *STOP*
A cute, but a mate you don't really need to know, rook, knight, and pawn mate. They can coordinate very well. I'm not sure if you really really need to know it, but I'm passing it off.
Smothered Mate is funny! The king is boxed!
It is usually created by a Queen sacrifice. That hint should give you more strength in the puzzle! If you don't solve it and your Turn-Based rating is over 950, I'm not gonna do anything. White seems to be losing at first glance, but a smothered mate combination gives him the win
Note that 3. Nh6++ is double check.