A PA28 PILOT AND HIS CFI CONDUCTED A PRACTICE VOR APCH TO ONE ARPT AFTER CONTACTING AND BEING ACKNOWLEDGED BY A NEARBY TOWER.

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ON AN IFR FLT PLANNED INST TRAINING FLT TO ZZZ1. A DECISION WAS MADE BY MY FLT INSTRUCTOR TO DIVERT TO ZZZ FOR A PRACTICE VOR-A APCH. WHILE TALKING TO APCH CTLRS ENRTE; WE WERE CLRED TO THE ABC VOR; THE INITIAL APCH FIX; AND THEN TOLD TO 'CONTACT TWR.' THE APPARATUS THAT INITIALLY SPARKED THIS HAZARDOUS SITUATION WAS THE ORGANIZATION OF THE KNEEBOARD HOLDING MY APCH PLATES. THE MANNER IN WHICH THE PLATE PAGE PROTECTORS OPENED UP LIKE A BOOK; FROM L TO R; PRESENTED A SITUATION WHERE I WAS LOOKING AT 2 DIFFERENT APCH PLATES TO 2 DIFFERENT ARPTS; ONE RIGHT NEXT TO THE OTHER - ZZZ ON THE L; AND ZZZ1 ON THE R. WHEN TOLD TO 'CONTACT TWR;' I MUST HAVE LOOKED DOWN QUICKLY AT THE WRONG PLATE WITHOUT VERIFYING IT AND PLUGGED IN THE WRONG TWR FREQ; WHICH WAS PICKED UP BY ZZZ1 TWR. THE SECOND HAZARDOUS SITUATION THAT HELPED FEED INTO THIS EVENT WAS THE FACT THAT ZZZ1 TWR ACTUALLY RESPONDED AND ACKNOWLEDGED ME WHEN I CALLED THEM BY 'ZZZ TWR.' I DO NOT REMEMBER SPECIFICALLY HEARING EITHER 'ZZZ' OR 'ZZZ1 TWR' IN THE RESPONSE; BUT JUST HEARING THAT I NEEDED TO RPT THE FINAL APCH COURSE INBOUND. I EXECUTED THE FULL PUBLISHED VOR-A APCH INTO ZZZ ARPT; AND WHEN MY INSTRUCTOR TOLD ME TO GO MISSED; I CALLED WHAT I THOUGHT WAS ZZZ TWR AND TOLD THEM I WAS GOING MISSED; ONLY TO HEAR 'WARRIOR XYZ ARE YOU AT ZZZ? BECAUSE YOU'RE TALKING TO ZZZ1!' I THEN QUICKLY VERIFIED THE ACTUAL TWR FREQ AT ZZZ ON THE CORRECT APCH PLATE AND SWITCHED OVER. THE CTLRS SEEMED VERY CONCERNED; AND TOLD US THAT THEY HAD LIGHT GUNS SIGNALING OUT THE TWR FOR US. MY INSTRUCTOR APOLOGIZED FOR THE INCONVENIENCE AND ATC CLRED US OUT OF THE AIRSPACE AND INSTRUCTED US TO CONTACT APCH TO CONTINUE THE FLT. AS OF YET; THERE IS NO FURTHER INFO ON THIS MATTER. THE 3 CONTRIBUTING FACTORS IN THIS INCIDENT; IN MY OPINION; WERE THE DISORGANIZATION OF THE APCH PLATES; MY INSTRUCTOR'S FAILURE TO CATCH MY ERROR OF PLUGGING IN THE WRONG FREQ; AND ZZZ1 TWR'S ACKNOWLEDGEMENT AND RESPONSE. TO PREVENT THIS SITUATION FROM HAPPENING AGAIN IN THE FUTURE; I HAVE INVESTED IN PURCHASING CHART ORGANIZERS IN WHICH YOU ARE ONLY LOOKING AT 1 CHART OR PLATE AT A TIME; AND NOT HAVING 2 DIFFERENT ONES WHICH COULD EASILY BE CONFUSED RIGHT NEXT TO EACH OTHER. EVEN THEN; I ALSO PLAN ON INCLUDING A FREQ CHK IN MY PRE-LNDG CHKLIST FROM NOW ON AS WELL.