Hello!
I've made a few pinboards, grouped by the way in which the pieces were made (usually educated guessing). This might give you inspiration, ideas about what is standard and what is possible with each method, and perhaps questions to raise in the next class.
Pinch - easy to spot because the texture of the thumbs and fingers generally remains evident.
Coil - many shapes and sizes of objects are possible with this method. The only disadvantage is speed.
Slab - from simple slab plates, to complex forms using multiple pieces of clay. Note how some appear soft and others appear stiff - this is because of the softness or firmness of the clay at the time the object was made.
Throw - thrown on the pottery wheel. In many of the images the pieces have been further altered after the original form was thrown.
Slipcast - we will not be doing slip casting in Clay Taster, but it is worth knowing what it is. Most industrially produced tableware is made by this method. An original is made/found. A plaster mold is made around it. The original is removed. Liquid clay (or 'slip') is poured into the void and allowed to stiff. The plaster mold is removed.
Artists and studio potters also employ this method.
There are many other ways to give shape to clay - these are just a few of the basics.