INSTRUCTOR WITH 2 INST STUDENTS SIMULATING INST APCH TO VRB ARPT ALIGNED WITH RWY AT FPR. ENTERED FPR ATA WITHOUT COM.

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THIS WAS THE SECOND HALF OF A BACK TO BACK TRAINING FLT. BOTH STUDENTS WERE PRACTICING BASIC ATTITUDE INST FLYING. THE SECOND STUDENT WAS IN THE L SEAT UNDER THE HOOD; THE INSTRUCTOR WAS IN THE R SEAT; AND THE FIRST STUDENT WAS SITTING IN THE BACK OBSERVING. THE INSTRUCTOR WAS SIMULATING VECTORS FOR A STRAIGHT IN APCH TO RWY 11R AT VERO BEACH AND HAD ESTABLISHED CONTACT WITH VERO BEACH TWR. ON ABOUT A 3 MI FINAL TO WHAT THE INSTRUCTOR THOUGHT WAS VERO BEACH THE STUDENT IN THE BACK SEAT ALERTED THE INSTRUCTOR THAT THE ARPT RWY THE ACFT WAS LINED UP ON WAS RWY 11 AT FORT PIERCE ARPT ABOUT 6 MI S F THE VERO BEACH TWR PER ITS INSTRUCTIONS TO RPT A 3 MI FINAL AND DID SO (INSTRUCTOR WAS SIMULATING ATC). THE STUDENT IN THE BACK ADVISED THE INSTRUCTOR OF TFC. WHEN THE INSTRUCTOR REALIZED WHAT HAPPENED HE TOLD THE STUDENT FLYING TO EXECUTE AN IMMEDIATE L TURN AND HEAD TO THE VERO BEACH ARPT. NO CONTACT EVER WAS ESTABLISHED WITH THE FORT PIERCE ARPT TWR. ON THE FIRST FLT THE INSTRUCTOR HAD VECTORED THE FIRST STUDENT FOR A STRAIGHT IN TO RWY 11R AT VERO BEACH. THE INSTRUCTOR WAS KEEPING TRACK OF THE ACFT'S POS BUT BECAME SOMEWHAT DISORIENTED. VERO BEACH TWR QUERIED THE INSTRUCTOR (WHO WAS WORKING THE RADIOS) AS TO HIS POS BECAUSE OF THE INSTRUCTOR'S POS RPTING. BECAUSE OF WHAT HAPPENED THE FIRST FLT THE INSTRUCTOR WAS DETERMINED TO KEEP THE VERO BEACH ARPT IN SIGHT THE ENTIRE SECOND FLT. BECAUSE OF SCATTERED CLOUD BASE THE HIGHEST ALT THE FLT COULD ATTAIN WAS 2000 AGL; AND BECAUSE OF THE DISTANCE AWAY FROM THE ARPT IT WAS DIFFICULT TO KEEP IT IN SIGHT. THE INSTRUCTOR HAD RECENTLY GAINED EMPLOYMENT WITH THE FLT SCHOOL AND BOTH FLTS WERE HIS FIRST ACTIVITIES IN THE PARTICULAR AREA HE WAS NAVIGATING IN. HE WAS FAMILIAR WITH THE GENERAL TERRAIN FEATURES AFTER FLYING AS OBSERVER ON 2 OTHER FLTS DURING HIS STANDARDIZATION. MUCH OF THE TERRAIN APPEARED ALIKE; BUT THE INSTRUCTOR CAN OFFER NO EXCUSE ABOUT BECOMING DISORIENTED. ASIDE FROM HIS CHAGRIN IN FRONT OF HIS STUDENTS AND ESPECIALLY HIMSELF; THIS EVENT PROVES THAT AN EXPERIENCED PLT AND FLT INSTRUCTOR CAN COMMIT COMMON STUDENT ERRORS.