Geometric Visualization of Multiplying Fractions Using Polygon Constructions

This example demonstrates how multiplying fractions can be visualized through geometric constructions—turning algebraic fraction products into observable proportional relationships within constructed shapes. It centers on fractions and rational numbers, proportion/ratio interpretation, and stepwise construction controlled by logic conditions. The construction is built using GeoGebra commands such as Polygon (to form and manage main polygonal regions like poly1/poly2), Point (to define key vertices and parameter-driven points), Segment (to draw boundaries and subdivision lines), Textfield (to label parameters and computed results), Sequence (to generate ordered points/objects indexed by parameters like n), and If (to decide how objects are created or connected under conditions). The object structure includes sequences of intermediate segments/points (e.g., multiple d* and n* objects) to support iterative fraction-based partitioning and clear labeling of the resulting product relationship. Suitable for middle-school to early high-school learners and for students practicing GeoGebra geometric construction of rational-number ideas.