The second link helps a lot, thank you!
My diagram looks like:
Teensy <----> SD Socket
10-(CS) <---> 2(CS)
11-(MOSI) <---> 7(DAT0, Data Out)
12-(MISO) <---> 3(CMD, Data In)
13-(SCK) <---> 5(CLK)
I'm not really sure about MOSI&MISO. Are they connected MOSI to Data Out(like above) or are...