Integer Addition on the Number Line: Vector and Segment Model

This GeoGebra applet demonstrates integer addition using a dynamic number line model. It visually represents adding integers as vector translations and segment concatenations along a one-dimensional coordinate axis. Core mathematical concepts include integer addition, signed number operations, vector addition, and the geometric interpretation of arithmetic on the number line. The construction employs GeoGebra commands such as Vector and Segment, together with points A, B, C, D, auxiliary vectors u and v, lines g, h, i, and multiple text objects (text1–text5) to label the addends, sum, and number line positions. Designed for middle school mathematics (grade 7 rational numbers), it serves teachers seeking a number-line alternative for classroom instruction and students exploring the geometric meaning of integer addition.