Abstract

In the 10th-grade mathematics curriculum, the topic of systems of linear inequalities in two variables holds high practical applicability, particularly through resource, cost, or profit optimization problems in linear programming. Resolving these problems requires students not only to firmly apply algebraic theories but also to possess the ability to construct models and geometrically represent feasible regions to determine the optimal solution. Within this topic, teachers can utilize GeoGebra software to innovate teaching methods, shifting from passive instruction to organizing experiential activities through the exploitation of optimization problems. This approach helps students develop visual thinking, deeply comprehend abstract mathematical models, and foster opportunities to discover new knowledge via flexible interactions with mathematical objects, thereby developing their mathematical modeling competency.

Keywords: 10th-grade mathematics, Competency, GeoGebra software, mathematical modeling competency, optimization problem, system of linear inequalities in two variables.