[初賽第一階段] 估算（2） [Preliminary Phase 1] Estimation (2)

Big Concept: Estimation Topic: Dimensional Analysis and Fermi Estimation in Physical Systems Bloom's Taxonomy: Understand, Apply, Analyze, Evaluate, Create Learning Goal: Students will be able to: analyze unfamiliar physical situations and identify relevant variables for estimation; apply dimensional analysis to derive relationships between quantities; construct Fermi estimation strategies by making and justifying assumptions; evaluate the plausibility and limitations of estimated results; compare multiple estimation approaches and assess their consistency; critically examine how assumptions influence outcomes; design a new estimation scenario and justify the reasoning process Key Learning Points: Advanced estimation involves constructing models under uncertainty. Dimensional analysis provides structural constraints, while Fermi estimation requires selecting variables, making assumptions, and simplifying systems. Different assumptions may lead to different results, and evaluating consistency and plausibility is essential. Estimation becomes a tool for reasoning, model construction, and critical evaluation rather than simple approximation. Note: This design emphasizes independent reasoning and model construction. Students move beyond guided estimation to analyze situations, justify assumptions, evaluate results, and create their own estimation problems.