This inquiry-based sequence bridges the gap between the geometric concept of a locus of points and algebraic equations, specifically focusing on circles. Students begin by exploring the definition of a circle using the distance formula, rather than just memorizing the standard equation. Through guided investigation, they derive (x-h)^2 + (y-k)^2 = r^2 and learn to manipulate it. The sequence culminates in applying this understanding to solving problems involving regions of coverage, such as cellular signals or earthquake epicenters.

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