The student demonstrates a consistent and correct use of mathematical notation, symbols, and terminology related to Buffon's formula, pi, and trigonometry throughout the investigation. Key terms and variables are appropriately defined and explained when first introduced, and the main concepts, such as Buffon's needle experiment, are described in the introduction. However, the student should provide detailed definitions for additional terms, such as the density function, at appropriate places in the exploration. While multiple forms of mathematical representation, including diagrams and tables, are used effectively, the student should work on explaining all mathematical calculations and data presentations in detail. The results are correctly rounded only at the end of the calculations, and the student employs a deductive method and logical proofs where necessary. Additionally, the graphs, tables, and diagrams are appropriately labeled at the bottom.
