INSTRUCTOR AND STUDENT IN A CITABRIA DEPARTED STC; A NON CTLED ARPT; AND WERE LATER BERATED BY AN ACR PLT FOR NOT ANNOUNCING THEIR DEP OFF STC.

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I WAS ON A XCOUNTRY WITH MY STUDENT. WE WERE DEPARTING STC ON RWY 5. WE LISTENED TO 122.7; THE UNICOM FREQ; AND SAW AND HEARD A KATANA DEPART RWY 5 AND HEAD SE. A CESSNA DEPARTED RWY 5 AND HEADED NW. A NAVAJO CALLED FROM 14 MI SE INBOUND. WE WERE NEXT SO WE ANNOUNCED CITABRIA ACFT X DEPARTING RWY 5 EBOUND. WE TOOK OFF ON RWY 5. WE HEARD THE NAVAJO CALL FOR POS OF THE CESSNA AND THEN HE CAME BACK AND SAID HE HAD US AS WE LIFTED OFF RWY 5. THE NAVAJO WAS ON DOWNWIND FOR RWY 5 AT THIS TIME; AND WE HAD HIM IN SIGHT. WE PROCEEDED OUTBOUND CLBING WHEN WE SPOTTED THE ACFT Y COMING FROM THE SE. WE TURNED R AND STOPPED CLBING. THE ACFT Y PASSED OFF OUR L FRONT AT ABOUT 200 FT ABOVE AND 1/3 - 1/2 MI NWBOUND. THE FIRST WE HEARD FROM HIM WAS AFTER HE HAD PASSED AND HE ANNOUNCED L BASE. I PROCEEDED TO FOREST LAKE; MN (25D). ABOUT 5 MI OUT; I CALLED 25D AND ANNOUNCED 5 MI W LNDG FOREST LAKE. AT THIS TIME WE GOT A CALL FROM ACFT Y ASKING IF WE HAD LEFT ST CLOUD EARLIER. I ACKNOWLEDGED; AND HE BERATED ME FOR NOT CALLING OUR DEP AT ST CLOUD AND THAT WE HAD JUST ABOUT RUN INTO HIM. THIS IS NOT TRUE. WE HAD HEARD THE OTHER 3 PLANES IN ST CLOUD SO WE KNOW WE WERE ON THE RIGHT FREQ AND THIS FREQ WAS STILL IN THE RADIO WHEN I REACHED FOREST LAKE; WHICH IS THE SAME 122.7. I REMEMBER MY STUDENT CALLING DEPARTING RWY 5 DEPARTING TO THE E AT ST CLOUD. SHE HAD STUMBLED OVER RWY 5 COMING IN AND I HAD TOLD HER IT WAS EASIER TO USE 'ZERO FIVE' AND CLRER TO EVERYONE. WHEN SHE USED IT DEPARTING; I WAS PLEASED. WE NEVER HEARD A CALL FROM ACFT Y AND I DOUBT HE SAW US AS HE DID NOT TURN TO AVOID US AS WE DID TO AVOID HIM.