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Unit 5: Circles With and Without Coordinates Geometry Teacher Mr. Silva Learning Goals Complex Simple Preview Review the parts of a circle and circle formulas. Ask the students to define the parts of a circle. Ask the students to define pi in relation to a circle. Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. Understand and apply theorems about circles. Planning for Question 2 Critical Input Chunk Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Actively Process Students will take notes as we define parts of a circle and formulas. Students will solve for pi using the circumference formula. Discuss and summarize the parts of a circle and formulas. Planning for Question 3 Students will analyze a diagram and determine the common relationships of a circle and triangle. Planning for Question 4 Students will utilize background knowledge to construct a diagram, compare data to solve word problems. Students will compare, create, and solve for values for each geometric figure. Students will make decisions base on a diagram and determine the common relations of geometric figures.