Commutative Law of Addition - Dynamic Visualization

This GeoGebra example demonstrates the commutative law of addition through an animated visual: when two numbers are added, swapping their order does not change the sum. The core mathematical concept is the commutative property of addition, a fundamental arithmetic rule. The construction uses GeoGebra commands such as Circle and Sequence to generate dynamic point sequences, sliders (t) to control animation progress, vectors (AtoBend, BtoAend) to represent the movement paths of the two addends, and buttons (button1, button2) to trigger the animation. Text objects (text1, text2) display the resulting sum. This resource is suitable for upper elementary or early middle school students learning addition properties, and can also serve as a classroom demonstration tool for teachers to visually explain the commutative law.