A "quarter peal" is a shorter, less demanding version of a "peal", consisting of a specific number of changes rung in a continuous sequence, typically around 45 minutes long, and often used for special events.
Ringing "rounds" involves the controlled ringing of all bells, six in our case, from the highest to lowest. We number the highest bell, the "treble", as number 1. The lowest bell, the "tenor", is number 6. The order of rounds is constant. 1,2,3,4,5,6. Rounds are used to get the feel of the bell one is ringing so that a steady pace can be achieved for the ringing of a change or a method.
This session starts in rounds and, once they are evenly spaced, the leader calls out a method. During the method bell ringers move their place in the order 1 spot earlier or later and sometimes staying in a spot for multiple cycles.
Ringing down is the moving of the bells from the "up" position back to the "down" position. It starts like rounds but the bell is pulled a little softer, which makes the sound of the bells grow closer together, with each round until they are almost ringing on top of each other. At the end of this ringing the bells are given one more round.