Modular Addition for Selected Mods

① This example visualizes modular addition under selected moduli, showing how points distribute on a plane to reveal the periodic structure of modular arithmetic. ② Core mathematical concepts include modular arithmetic (addition followed by remainder), congruence classes, cyclic groups, and basic number theory properties, combined with sequence generation and geometric point-set visualization. ③ Construction uses GeoGebra commands SelectedElement, Sequence, and Take on objects pnt, a, L_1, n, L_2, m, L_3 to extract and build point sequences, with sliders or parameters controlling the modulus m and sequence length to dynamically show how addition results shift for different moduli. ④ Suitable for high school to early university mathematics education, helping students intuitively grasp the cyclic nature of modular operations, number theory fundamentals, and the integration of sequences with dynamic geometry.