Instructor: Thank you guys for being here today. We’ve been talking about rational numbers and what they are. Today, we’re going to do a little bit of an activity. Your classmates have created these sets of cards with some examples of rational numbers and some non-examples of rational numbers. What your job is going to be, with your partner, is you’re going to sort them into yes, no–

Student 1: I don’t know.

Instructor: Yes. Yes, it’s a rational number. No, it’s not a rational number. I’m not sure if it’s a rational number.

Student 1: Okay.

Instructor: Each of you will have these title cards, and you can spread them out to wherever you want to be. Then here is your stack of cards. You guys can go ahead and work together. Start sorting them. Think it through.

Student 2: This is the absolute value.

Student 3: That relay was four. It’s a repeating number. I don’t know if four is a rational-

Student 1: No. Five is irrational. Five is an irrational.

Student 2: I think so.

Student 1: Pi over 3.

Instructor: All right. Since you guys are done, you guys can keep working. Are there any here that you feel maybe you want to move it to the IDK column.

Student 1: Is it saying you’re–

Student 4: I still think they’re not rational numbers.

Student 1: Is this saying you’re repeating two, three, two, three, two, three, two, three?

Student 3: It’s not repeating. It’s a yes.

Instructor: Yes. Okay. Do we see any differences between our yes’s, no’s, and IDKs?

Student 4: We don’t have any IDKs. We’re pretty confident. Yes.

Instructor: Now, the ones that you guys were talking about being on the fence of IDK, notice they have those same ones. Am I right?

Students:  Yes.

Instructor: We’ll probably need to talk about those a little bit. Get those sorted out.