Adding Integers with Balloons and Sandbags Model

This example demonstrates integer addition by representing positive integers with hot‑air balloons and negative integers with sandbags, providing a visual model of the operation. Core mathematical concepts include the set of integers, geometric representation of signed numbers, vector addition, and number‑line interpretation. Construction uses GeoGebra commands Vector and Segment to create directed segments for each addend, objects int1, int2, separator, u, answer to store operands and result, and a series of text objects (text1‑text20, hint, v, w, A, B, a) for dynamic labeling and interaction. It is suitable for upper‑primary to lower‑secondary mathematics lessons on integer arithmetic and serves as an introductory resource for mathematical modeling and visual programming.