Multiplying 2-Digit by 1-Digit Using an Area Model (GeoGebra)

This example demonstrates how to multiply a 2-digit number by a 1-digit number using a flexible area model: the digits are decomposed into tens and ones, and the product is obtained by combining the areas of the partitioned regions. It visualizes the distributive property of multiplication in a geometric way, linking place-value decomposition to rectangle/polygon areas, and supporting interpretation of related side lengths/perimeter-style features. The construction uses GeoGebra commands from the summary: Point to place key vertices, Polygon to form the area regions, Segment to draw the partition lines, Random and Textfield to generate/label adjustable numbers, and If to switch between cases and update displayed outcomes. Suitable for elementary upper grades through middle school, as a classroom demonstration and interactive exploration tool for place-value multiplication and area models.