In this lecture, we cover the fundamental concepts of fact and dimension data structures. The lecture delves into the significance of fact data, highlighting its role as the core element in data modeling. Additionally, we explore dimension data and its crucial function in grouping and categorizing information. The discussion emphasizes the importance of capturing changes within dimensions and introduces the benefits of employing slowly changing dimensions. The lecture provides examples and insights, offering viewers a comprehensive understanding of fact and dimension data structures in the context of data engineering.