bachelor of science in architecture (BSc Architecture) is usually a degree awarded with part 1 (3 years), while bachelor of architecture (BArch) is for part 2 (2 years). look up the 1st post of this thread to understand the difference between part 1 and 2.

there are other variations of what a part 1 degree could be called. some of it are:

BSc in architectural technology
BSc in environmental architecture
BSc in architectural science
BA (Bachelor of Arts) in architectural theory
BA in architectural history
BA in architectural conservation

and so on. but there's only 1 type of part 2 degree, which is Bachelor of Architecture (BArch). in australia they've introduced Masters of Architecture (MArch) for part 2 rather than BArch.