Most motherboards have a total of 1 PCIe x16 slot. Your 220 graphics card is going to be installed into your motherboard's PCIe x16 slot. Remove your 220, install your 560 in it's place, ensure any auxiliary power connectors on your 560 are plugged in, and voila, you've upgraded the graphics card. Again, like Tradesman said, make sure you've sufficient amps on the 12V rail to power the new card, as it will draw more power than your 220 did. If you're unsure, you could list your make/model of power supply, and we can likely find some specs for it, or you can look for the label yourself, which is usually on the side of the power supply, and it should list how many watts/amps are available on one or more 12 volt rails.
To be honest, I can't think of any motherboard that would support your processor which would not have a PCIe x16 slot.
For what it's worth, you can easily verify that your 220 and 560 have the same card-edge connectors, thereby plug into the same physical motherboard connector, by simply pulling the 220 out of your system and looking at the connector on it, and comparing it to your 560. Of course, it should go without saying, your computer should be fully powered off when working inside of it.
Not sure your level of knowledge working around computer equipment, but add-in boards are usually permanently damaged when you plug / unplug them from the motherboard while the computer is running.
The series of gold connectors at the bottom of this graphics card is the PCIe x16 connector, and will be of the same design as your 560 and 220 cards:
The two widest yellow slots on this motherboard close-up are PCIe x16 slots. While the slot on your motherboard likely won't be yellow, the slot your 220 graphics card is plugged into should have the same design as these: