Evidence of Student Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Attainment/Assessment Students: Construct Students know: Students understand/are EEG-C.1-3. N/A Given a triangle, able to: Inscribed and Techniques to find circumcenter Use tools (e.g., compass, circumscribed circles and in center of a triangle, and to Use appropriate tools to straight edge, geometry of a triangle use this in inscribing or accurately construct software) to construct circumscribing the triangle, inscribed and circumscribed inscribed and circumscribed Quadrilateral circles of a triangle, circles, inscribed in a circle Properties of inscribed angles. Explain and justify the steps Explain and justify the that are used when creating sequence of steps taken to the construction, complete the construction. Apply the properties of inscribed angles to reach a Given a quadrilateral conclusion. inscribed in a circle, Every triangle has a point Conjecture possible which is equidistant from relationships among the each vertex of the triangle angles through the use of and a point which is inscribed angles use logical equidistant from each side reasoning to justify (or deny) of the triangle, the conjectures (in particular, justify that diagonally Opposite angles of a opposite angles of a quadrilateral inscribed in a quadrilateral are circle are supplementary. supplementary).
Evidence of Student Attainment/Assessment Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Students: Given a triangle, Use tools (e.g., compass, straight edge, geometry software) to construct inscribed and circumscribed circles, Explain and justify the sequence of steps taken to complete the construction. Given a quadrilateral inscribed in a circle, Conjecture possible relationships among the angles through the use of inscribed angles use logical reasoning to justify (or deny) the conjectures (in particular, justify that diagonally opposite angles of a quadrilateral are supplementary). Construct Inscribed and circumscribed circles of a triangle Quadrilateral inscribed in a circle Students know: Techniques to find circumcenter and in center of a triangle, and to use this in inscribing or circumscribing the triangle, Properties of inscribed angles. Students understand/are able to: Use appropriate tools to accurately construct inscribed and circumscribed circles of a triangle, Explain and justify the steps that are used when creating the construction, Apply the properties of inscribed angles to reach a conclusion. Every triangle has a point which is equidistant from each vertex of the triangle and a point which is equidistant from each side of the triangle, Opposite angles of a quadrilateral inscribed in a circle are supplementary. EEG-C.1-3. N/A
Geometry-Pacing-Guide-Version-3.docx