Lesson plan

Calculate the measures of angles by using the relationship between tangents and radii

teaches Common Core State Standards CCSS.Math.Content.HSG-C.A.2 http://corestandards.org/Math/Content/HSG/C/A/2

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Big Ideas: A radius is perpendicular to a tangent line at its point of intersection. A central angle is congruent to its minor arc. An inscribed angle is half the measure of its intercepted arc. This task involves students needing to use multiple properties of circles. Properties would include the tangent lines and radii, central angles and minor arc, inscribed angles and intercepted arcs. Students will use all of these including the sum of the interior angles of a polygons to solve for an angle. Vocabulary: tangent, inscribed, central angle, intercepted arc, inscribed angle, circumscribed angle