Front glass is shattered, which part is that?
Maybe a dumb question, but the front glass is shattered, but I don't know the official name for that part? (1) Front panel assembly, (2) LCD, or (3) LCD shield plate?
Here are the guides for the different iPad Mini's.
Assuming you have the iPad Mini 1 / Wi-Fi only model:
Here's the guide for replacing the digitizer.
And here's the part that you'll need.
The only stupid question is the one not asked!
The official name for that part is "iPad Mini/Mini 2 Digitizer" this part controls the touch. Keep in mind, the iPad mini and iPad mini 2 use the same digitizer so you don't get confused when looking for the part.
The LCD is the actual display/picture itself.
If your going to attempt the repair yourself and don't have advanced soldering skills, make sure you order the Digitizer with the IC attached. You'll need the IC to do the repair.
Its basically just a plate of glass, with a little digitizer chip attached, and a cable with the homebutton attached. It sits on top of the lcd.
You can get three different parts AFAIK..
1: LCD, glass and digitizer. These cost anywhere from 130$ and up on eBay and Amazon, though you can get them even cheaper sometimes. This is to replace all the display parts, in case the LCD is also cracked or completely black.
2: Glass and digitizer. Is the lcd behind the glass fine? Then you only need to replace the glass. This one comes with a new digitizer chip, so you can just take your cracked glass out and put this in. It usually costs 50-100$
3: Glass. No digitizer. Only the front glass. The drawback is, that you have to user your solder, to get the digitizer off your old iPad, and then solder it to the new one. And switch the homebutton too. This is much harder than getting a front glass that comes with a new digitizer already mounted to it. But hey, if you already have a solder iron, and you're not scared off from watching the how-to videos, then it's a nobrainer. 30$-50$ and up, though you sometimes see it for 20$.
Ifixit also sells the parts you need, and are a lot less shady than some of the cheap