The student demonstrates a strong understanding of correct mathematical notation, symbols, and terminology, as they are used consistently and correctly throughout the exploration. Key terms and variables are defined and explained when first introduced, and additional terms are defined in detail in appropriate places. The main concepts are described at the beginning of the exploration since there is no proper introduction. Multiple forms of mathematical representation are present, such as formulae, diagrams, tables, charts, graphs, and models, and are used only if appropriate. The student also explains all mathematical calculations and describes any data presentation. They use a deductive method and provide logical proofs where appropriate. The graphs, tables, and diagrams are labeled at the bottom.