INSTRUCTOR WITH INST STUDENT HAS ALTDEV; CLBING ABOVE MAP ALT.

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I AM A CFII WHO WAS ASKED TO FLY WITH A PVT PLT WHO HAD JUST GONE THROUGH THE MAJORITY OF 1 OF THOSE PIC 10-DAY IFR COURSES. HE SAID HE HAD 1 MORE DAY OF FLYING WITH PIC TO FINISH THE COURSE AND GET HIS RATING; BUT AS HE COULD NOT FINISH THE COURSE UNTIL MAY; HE ASKED IF I WOULD FLY SOME APCHS WITH HIM TO KEEP HIM IN PRACTICE. I FILED IFR TO DO MULTIPLE APCHS AT MORGANTOWN. FROM THE OUTSET; THE STUDENT APPEARED UNSURE AND UNPREPARED. WE DID THE VOR-A APCH FIRST; AND WERE GIVEN MISSED APCH INSTRUCTIONS TO HEAD 330 DEGS; CLB AND MAINTAIN 3000 FT. AFTER A THOROUGHLY AWFUL VOR APCH; I HAD TO TALK TO MGW TWR TO TELL THEM WE HAD MISSED WHILE MY STUDENT PROCEEDED TO GIVE THE MOONEY FULL THROTTLE AND CLEAN IT UP. BEFORE I REALIZED WHAT HE'D DONE; WE HAD GONE FROM THE MDA OF 2600 FT TO 3500 FT; RIGHT THROUGH OUR ASSIGNED ALT. I STOPPED HIM; TOOK CTL OF THE AIRPLANE; GOT US BACK TO ALT AND TRIED TO LET HIM REGROUP. THE REST OF THE RIDE WENT RATHER POORLY AND I ENDED THE LESSON SOON AFTER. WE WERE ALSO WELL L OF COURSE ON OUR PRACTICE ILS APCH. ALL FOR TAKING A STUDENT'S WORD ON HIS LEVEL OF PROFICIENCY AND FILING A FLT PLAN UNDER MY NAME WITHOUT BEING SURE OF HIS ABILITIES AND MY ABILITY TO CTL HIS MISTAKES IN A TIMELY FASHION. MY UNFAMILIARITY WITH HIS MOONEY (AFTER SPENDING MOST OF MY TIME IN C-172S) ALSO PROBABLY CONTRIBUTED. IN THE FUTURE; I WILL BE MORE IN CTL OF MY STUDENTS AND PREFLT THEM AND THEIR CAPABILITIES BEFORE FILING FLT PLANS WITH THEM FLYING!