Practice: Moving in Circles—Linking Circular Motion and Number Patterns

This example demonstrates how to model motion along a circle, showing how changing an angular/parametric parameter moves a point around the circumference and how the resulting positions form a clear cyclic pattern. The key mathematics concepts include circle geometry, angle-based description of points on a circle, and number-based thinking such as integers and sequences that can represent steps, sampling points, or periods of repetition. Although the provided construction summary contains no GeoGebra commands or objects, the expected construction workflow is: create a circle as the motion locus, define a moving point whose coordinates depend on an angle or parameter, and control the motion using a step/parameter progression to visualize periodic behavior. The activity is well suited for secondary-school students and for lessons that connect geometry with basic parameterization and discrete patterns.