SMA TRAINING FLT FAILS TO GET CLRNC FROM TWR CTLR FOR THE 'OPTION' AT SJC. PERFORMS A TOUCH AND GO BTWN DEP AND ARR TFC. NO ONE SAYS ANYTHING.

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LATE IN WHAT WOULD BE A 1 HR TRAINING FLT IN THE PATTERN AT SAN JOSE INTL ARPT; MY STUDENT AND I DID A TOUCH AND GO ON RWY 11 WITHOUT CLRNC FOR THE OPTION. WINDS DURING THE FLT AT THE SURFACE WERE VARIABLE FROM 130-210 DEGS AT 9 KTS VARIABLE 16 KTS GUSTING TO 21 KTS. WINDS ALOFT AT PATTERN ALT OF 1000 FT MSL; WERE MUCH STRONGER AND A DIRECT XWIND. NEEDLESS TO SAY; THE PATTERNS AND LNDGS WERE DIFFICULT FOR MY STUDENT AND THERE WAS LIGHT TURB ON THE DOWNWIND. I CONTINUED THE FLT; HOWEVER; BECAUSE MY STUDENT WAS CAPABLE OF HANDLING THE ACFT IN THESE CONDITIONS AND IT WAS EXCELLENT EXPERIENCE FOR HIM. AFTER APPROX 4 TOUCH AND GOES ON RWY 11; MY STUDENT TOLD ME ON THE UPWIND THAT HE THOUGHT WE HAD NOT BEEN CLRED TO LAND. HE WAS RIGHT; WE HAD NOT BEEN CLRED TO LAND; OR FOR THE OPTION; FOR THAT TOUCH AND GO. I HAD COMPLETELY FORGOTTEN AND TWR SAID NOTHING; SO I TOLD MY STUDENT TO SAY NOTHING OVER THE RADIO AND CONTINUE AS BEFORE. TWR CLRED US FOR THE OPTION APCHING BASE ON THE NEXT LNDG AND THE FLT CONTINUED WITHOUT FURTHER INCIDENT. WHILE NOT TOO DANGEROUS BY ITSELF; OUR UNCLRED LNDG WAS DANGEROUS CONSIDERING HOW BUSY THE ARPT WAS. TWR DEPARTED 1 ACFT OFF OF RWY 11 WHILE WE WERE ON FINAL; ANOTHER WAS LNDG BEHIND US; THERE WAS THE USUAL STEADY STREAM OF AIRLINE DEPS AND ARRS ON RWY 12R; AND SEVERAL ACFT WERE STACKED UP ON RWY 12L FOR DEP. TWR SIMPLY FORGOT ABOUT THAT CESSNA IN THE PATTERN; AND WE FORGOT TO GET CLRED TO LAND AS WE WERE BUSY WITH THE DIFFICULT PATTERNS AND WATCHING FOR TFC. NOT EXACTLY MY FINEST MOMENT AS THE ALL- POWERFUL; STUDENT-MISTAKE-CATCHING CFI.