Approaches and methodologies
 

Cross-folding

To compare fractions from different families it is necessary to use cross-folding.
Fold one sheet to illustrate quarters and thirds. Fold one direction for quarters, the other direction for thirds.

Which is bigger, a quarter or a third? Why?
How many equal parts is the unit divided into?
How many in one third? One quarter?
Which is bigger, two thirds or three quarters? one third or two quarters?