I was very impressed with the connections my students were able to make when ordering fractions this past spring when working in the Different Shapes, Equal Pieces unit for the fourth grade. The students had to organize the fractions according to Less than a Half, A Half, Between a Half and One Whole, One Whole, and Greater than One Whole. I felt that this was going to be so easy after all the work with equivalency that we had been doing. However, I soon learned that this was a great assessment of which students were truly able to grasp the concept fluently. My fourth graders began slowly to observe why particular fractions were being placed based on the relationship between the numerator and the denominator. They had been so used to making representations that it was a challenge to make the transfer to cold numbers at first. Then students began to recognize the whole fractions by noting that they had the same numerator and denominator, students realized that when the numerator was half of the denominator, that was the same as a half. They were so comfortable placing the fractions after that, and they were confident in their placements. It was truly great to see how excited they were at their success!