INSTRUCTOR AND STUDENT FLEW INTO THE CLASS B AIRSPACE WITHOUT A CLRNC.

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AFTER A 10 HR DAY ANOTHER CFI HAD A FLT FOR ME. I REALLY DID NOT WANT TO DO IT BECAUSE I WAS TIRED. THE OTHER INSTRUCTOR COULD NOT TAKE THE FLT. I HAD NEVER FLOWN WITH THE STUDENT BEFORE. THE STUDENT HAD ALREADY SOLOED AND THE OTHER INSTRUCTOR SAID HE WAS A VERY SHARP STUDENT. THE INSTRUCTOR WANTED ME TO DO SOME LCL NIGHT ARPT HOPPING AND VOR WORK. WE DEPARTED LGB ARPT AROUND XA45 PM ON THE DOWNWIND LEG AT FULLERTON ARPT THE STUDENT GOT DISORIENTED AND I HAD TO HELP HIM FIND THE ARPT. THE LNDG WAS ALSO VERY HARD AND I HAD TO HELP HIM. WE THEN DEPARTED FOR EL MONTE ARPT. AGAIN THE STUDENT HAD SOME PROBS. THE STUDENT WANTED TO FOLLOW THE 605 FREEWAY TO THE SEAL BEACH VOR. I SAID THAT WOULD BE OK. WE DEPARTED EL MONTE TO SLI. I TOLD THE STUDENT WE WOULD HAVE TO STAY BELOW 2500 FT TO BE CLR OF LOS ANGELES CLASS B AIRSPACE. ENRTE TO SLI VOR ABOUT 5 MI NW OF FULLERTON ARPT AT XB30 PM WE INTRUDED INTO LOS ANGELES CLASS B AIRSPACE. WE HAD SLOWLY CLBED INTO IT AT ABOUT 2700 FT. FULLERTON ARPT WAS AT OUR 10 O'CLOCK IT SHOULD HAVE BEEN AT OUR 9 O'CLOCK. AS SOON AS I REALIZED WHAT HAPPENED I DSNDED OUT OF THE AIRSPACE. ALL THE PROB SIGNS WERE RIGHT IN FRONT OF MY FACE. I WAS FATIGUED AND DID NOT WANT TO FLY. I HAD NEVER FLOWN WITH THE STUDENT BEFORE. HE WAS NOT AS SHARP AS HIS INSTRUCTOR SAID HE WAS. WHEN THE STUDENT HAD SOME PROBS I SHOULD HAVE BEEN VERY DILIGENT AND NOT LET MY GUARD DOWN FOR THE ENTIRE FLT. I SHOULD HAVE NOT LET MYSELF BE PRESSURED INTO A FLT I DID NOT WANT!