Cessna 152 Flight Instructor reported they made closed traffic in the wrong direction.

Narrative

My student and I were turning base to final when my student was cleared for the touch and go and the Tower told us to make right traffic after touch and go. My student read back the landing clearance and did not read back right traffic. I came over the radio and read back the remainder of the call for right traffic to be made. I was talking to my student the whole way down to landing. I was talking a lot to them as they were putting in too much crosswind correction. They were a little behind the aircraft; so I was helping. Upon takeoff we cleaned everything up and took off and incidentally made a mistake and turned left traffic. We did not realize the mistake that had been made until after we were midfield left downwind. Tower did not say anything; nor were we that close to any airplanes (nothing that isn't close for a normal traffic pattern where training is being done). The student and I both should have realized that we needed to turn right traffic after we were clear of the departure end and we were at least 500 ft. off the ground. From now on as an instructor; I will be making taking more precaution to be more aware and to make the correct decisions. I instill in all of my students to ask if you are not sure; do not do something that could potentially put you in a bad situation. I let this moment slip. I will take it and learn from it.