Final answer:
The topic 'Speaking Two Languages in One Home' will most likely be discussed in Professor Patel's course on sociolinguistics, as it covers themes like bilingualism and sociocultural language use. The correct answer is option 2. Speaking Two Languages in One Home.
Step-by-step explanation:
Professor Patel's course on sociolinguistics is likely to discuss topics related to how language interacts with social factors. The topic that will MOST likely be discussed in this course is Speaking Two Languages in One Home, which directly pertains to sociolinguistic themes such as bilingualism and code-switching. Sociolinguistics examines issues like linguistic diversity, language and identity, the relationship between language and social structures, and how language varies and changes in social contexts. Other topics such as Social Stress of the High School Years might also be related, but they are less central to sociolinguistics as a discipline. The course would not focus on A History of Sports and Socialism or How to Pronounce Common Words, as these topics do not directly address the intersection of language use and social factors.