4Q Quiz: Area Model for Multiplying Two-Digit by Two-Digit Numbers

This example demonstrates how to use a flexible area model to multiply a two-digit number by another two-digit number by partitioning the overall rectangle into sub-rectangles. The visual layout makes the multiplication as “areas” and then uses area addition to obtain the final product. Key concepts include place-value decomposition (tens and ones), the area interpretation of multiplication, and block (distributive) multiplication. Construction highlights: Intersect is used to determine key intersection points that define the partition boundaries; Point, Segment, and Polygon create the labeled geometry and the sub-regions whose areas represent partial products; Textfield places dynamic labels; If adds quiz-like conditional logic; Random generates different problem values while keeping the model structure consistent. The scene is organized around geometric objects and labeled points/variables (e.g., A, D, E, …, L and q1, q2, etc.) to support an interactive “4Q quiz” workflow. Suitable for primary upper grades through middle school, classroom demonstrations, and self-paced interactive practice.