I suggest laminating the number cards before cutting them apart. I make several sets of the cards for partners to share and store them in separate ziplock bags.
You can also laminate the sorting mats to make them last longer. You can write “Rational” and “Irrational” at the top of each column with a dry erase marker. (The sorting mat can be reused for other activities as well.)
Have the students/partners work together to sort the cards on the sorting mat into the two categories of “Rational” or “Irrational”. Once the sorting is completed, they can record their results in the worksheet provided, along with an explanation of their reasoning.
(Could also be a centers activity!)