The student consistently and correctly used correct mathematical notation, symbols, and terminology throughout the exploration, and provided clear explanations for each. Key terms and variables were defined and explained when first introduced, and multiple forms of mathematical representation were appropriately used, including formulae, diagrams, tables, charts, and graphs. Additionally, all mathematical calculations were explained, and the degree of accuracy for rounded values was consistently stated. The results were rounded only at the end of the calculation threads, ensuring minimal bias. However, the student did not provide in-depth descriptions of the main concepts in the introduction, and additional terms were not defined in detail in appropriate places. The exploration did not use a deductive method and logical proofs, making the criterion inapplicable.