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In this unit students prove basic theorems about circles, such as a tangent line is perpendicular to a radius, inscribed angle theorem, and theorems about chords, secants, and tangents dealing with segment lengths and angle measures. They study relationships among segments on chords, secants, and tangents as an application of similarity. In the Cartesian coordinate system, students use the distance formula to write the equation of a circle when given the radius and the coordinates of its center. Given an equation of a circle, they draw the graph in the coordinate plane.
A question is essential when it stimulates multi-layered inquiry,
provokes deep thought and lively discussion,
requires students to consider alternatives and justify their reasoning,
encourges re-thinking of big ideas, makes meaningful
connections with prior learning,
and provides students with opportunities to apply problem-solving skills to authentic situations.
Circles With and Without Coordinates
Additional information such as Teachers Notes, Enduring Understandings,Content Emphasis by Cluster, Focus Standards, Possible Student Outcomes, Essential Skills and Knowledge Statements and Clarifications, and Interdisciplinary Connections can be found in this Lesson Unit.