That video has a lot of detail in 20 minute so the only comments I have are:
He did not talk about creating a VG nor an LV but his display was adding a PV to the existing Vg and extending the existing LV and the commands are a bit different.
The name of the array to partition it will be /dev/md0 and the partition to create will become /dev/md01.
The name of the physical device when you create the PV will be the raid array partition /dev/md01.
now pvscan will return the pvname to use in the next command.
You will then need to create the VG. (the -v makes it verbose) Insert your chosen vgname and use the pvname returned by pvscan above.
Code:
vgcreate -v vgname pvname
now vgscan will return the vgname to use in the next command.
Now create your LV to hold the data
-L allows specifying the size of the volume in units. Change the value as you see fit.
-ay = activate yes (to make it immediately active)
-v = verbose
everything else is standard and automatic.
You need to fill in the name of the VG you created earlier and the new lvname you want to use.
Code:
lvcreate -L 1000G /dev/vgname -ay -v lvname
Now lvscan will return the lvname to use for creating the filesystem
formats the LV as ext4 so it is ready to use.
At this point things are ready to mount the LV and start using it.
EDIT:
I noted you are minimal install so instead of gparted use fdisk instead to create the partition.