Adding and Subtracting Integers with Vector Moves

This example visualizes how integer addition and subtraction can be represented as geometric moves along a number line or coordinate line. It helps learners see that adding an integer corresponds to moving a certain signed distance in a direction, while subtraction can be understood using opposite direction (or adding the additive inverse). Key concepts include signed integers, vector direction and magnitude, and the equivalence between arithmetic rules and geometric transformations. Construction-wise, the diagram is built using core GeoGebra tools such as Line and Vector to create the reference line and signed displacement, OrthogonalLine and Intersect for auxiliary constructions and intersections, Segment to represent the resulting movement, and Mirror and Midpoint to obtain symmetric (opposite) configurations and balanced reference points. The If command supports conditional logic to handle cases based on sign, while multiple text objects (e.g., TextoSigno and related labels) annotate the values and results. Suitable for middle and high school instruction, classroom demonstrations, and practice focused on building intuition for integer operations through geometry.