Visual Test of Integer Addition with Vectors

This example demonstrates integer addition by representing the operation with geometric objects and vector composition, then visually confirming that the resulting count matches the integer sum. It centers on the mathematical ideas of integer arithmetic, vector addition as a translation/combination process, and the consistency between algebraic sums and geometric constructions. In the GeoGebra construction, it uses the commands “Vector” and “Segment” to build vectors (e.g., a and b) and their related segments/points (e.g., A and B). Additional vectors such as u and v serve as intermediate components or directional steps, while objects like C, D, R, and Z link the geometric outcome to integer-marked references or regions. The construction also employs multiple text labels (text1–text5) and helper objects (such as g, h, i, r, c) to display the operands, the computed result, and the verification logic. Suitable for middle-school math learning and for teaching vector intuition through integer addition, as well as for interactive classroom demonstrations and geometry-construction practice.