How Do You Figure? — Exploring Interest, Statistics, Confidence Intervals, Rotat

①This GeoGebra example, titled 'How Do You Figure?', serves as a multi-topic interactive demonstration covering interest calculation, statistical characteristics, confidence intervals, rotation, and matrices, encouraging learners to explore how mathematical computations and models work. ②Core mathematical concepts include simple and compound interest, statistical measures (mean, variance), construction of confidence intervals, 2D rotation transformations, and matrix operations, highlighting the interplay between algebra, geometry, and applied statistics. ③Construction notes: although no specific GeoGebra commands are listed in the summary, the topics suggest the use of sliders to control parameters (e.g., interest rate, sample size, rotation angle), lists or spreadsheets for data, matrix objects for rotation matrices, and dynamic text or plots to display results, possibly with animated visualizations. ④This resource is suitable for high school to early college students, particularly for math lab sessions, introductory statistics, or linear algebra visualization, and can also serve as a template for teacher-designed inquiry activities.