A STUDENT PLT ON A SOLO FLT ENTERS CLASS B AIRSPACE WITHOUT AUTH.

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MY STUDENT DEPARTED PWK AT APPROX XA00 PM LCL ENRTE TO AN AREA 20-25 NM OFF OF THE 320 DEG RADIAL FROM OBK VORTAC. THIS IS CONSIDERED AS THE NW 'PRACTICE AREA' TO OUR FLT SCHOOL; AND MY STUDENT WAS FLYING SOLO. NEAR THE END OF THE HR LONG SOLO LESSON; MY STUDENT DECIDED TO TRY AND LOCATE LAKE IN THE HILLS ARPT (3CK); AND RETURN TO PWK AFTER LOCATING THE ARPT. HE SAID HE HAD DIFFICULTY LOCATING 3CK AND DECIDED TO PROCEED EBOUND AFTER HEADING SBOUND FOR SEVERAL MINS FROM THE NW PRACTICE AREA. HE SAID THAT HE THOUGHT HE HAD LOCATED SCHAUMBERG REGIONAL (06C); AND PROCEEDED TO HEAD NBOUND AND DSND FROM HIS ALT OF APPROX 2800 FT MSL. JUST BEFORE LNDG; OUR FLT SCHOOL RECEIVED A CALL FROM THE AREA SUPVR OF THE CHICAGO APCH CTL FACILITY SAYING THAT AN ACFT HAD BEEN TAGGED BY RADAR AT 3200 FT; 7 MI NW OF ORD. THE SUPVR SAID HE HAD CALLED PWK TWR TO VERIFY AN ACFT IDENT. HE (THE SUPVR) SAID THAT HE ONLY WANTED TO INSURE THAT THE PLT WAS FAMILIAR WITH THE ORD CLASS B AIRSPACE; AND THAT NO VIOLATION WAS WRITTEN. THE PROB (LOST POS) WAS FACILITATED BY THE STUDENT'S FIRST SOLO IN THE AREA; AND HIS DECISION TO LOCATE 3CK AND CONTINUE WHEN NO ARPT WAS SPOTTED. MY STUDENT INDICATED HE HAD NO PLAN TO FOLLOW IF 3CK WAS NOT FOUND; AND HE WAS NOT AS FAMILIAR WITH THE AREA SURROUNDING 3CK AS HE WAS WITH THE NW PRACTICE AREA. THE PROB WAS DISCOVERED BY THE PLT WHEN HE LOCATED SCHAUMBERG (06C). HE TRIED TO CORRECT THE SIT BY HEADING NBOUND AND DSNDING. MY STUDENT HAS 50.6 DUAL HRS; AND 2 HRS SOLO. HE WILL BE RECEIVING MORE DUAL INSTRUCTION AS TO VFR NAV UNDER ORD'S CLASS B AIRSPACE; ESPECIALLY IN AREAS OF UNFAMILIARITY. NO TA'S/CONFLICTS OCCURRED AS RPTED BY THE AREA SUPVR.