Area Model Construction for Multiplying a 3-Digit by a 2-Digit Number

This example demonstrates how to multiply a 3-digit number by a 2-digit number using an area model. The product is visualized by decomposing the figure into rectangles (and polygonal regions) whose areas correspond to the partial products, making the algorithmic multiplication feel like a geometric area computation. Key mathematics concepts include multi-digit multiplication via area representation, partitioning (breaking digits into place-value components such as tens/ones), and mapping algebraic terms to geometric subregions. The construction is built from the provided GeoGebra workflow: Intersect is used to determine key intersection points; Point creates the vertices; Polygon outlines the partition regions; Segment builds the boundary edges; Random and Textfield introduce adjustable values and labels; and If controls conditional behavior (e.g., which elements appear or how parameters are selected). The object set includes many labeled points and parameter-like symbols (such as A–L and q1–q6, a_{2}, e, g, l_{2}, f_{2}, h_{4}, etc.), reflecting an interactive, partition-based geometric model. Suitable for upper elementary through middle school learning, classroom visualization, and GeoGebra-based exploratory teaching.