Which 3 go together?

Two number lines of equal length. Top number line. From 0 to 6 thirds. Evenly spaced by thirds. Bottom number line. From 0 to 12 sixths. Even spaced by sixths. 

Diagram. Two rectangles of equal length. Top rectangle split into three parts. Each labeled 1 third. First two parts shaded. Bottom rectangle split into 12 parts. Each labeled 1 twelfth. 8 shaded. 

Your teacher will give you a set of cards that show expressions.

1. Sort the cards into 2 categories in a way that makes sense to you. Be ready to explain the meaning of each category.
2. Sort the cards into 2 categories in a different way. Be ready to explain the meaning of each new category.

Find the value of each expression. Show your thinking. Organize your work so it can be followed by others.