other geometric figures. ensure that the intended outcome and level incenter of rigor (mainly conceptual understanding Domain: and application) of the standards are met. Cluster: Apply geometric concepts in Essential Question(s) Writing in Math Task(s) modeling situations How can you use perpendicular bisectors to find Compare and contrast the perpendicular Centers of Triangles the point that is equidistant from all the vertices bisectors and angle bisectors of a triangle. Be Apply geometric methods to solve of a triangle? Centers of Triangles Solutions sure to include their points of concurrency. design problems (e.g., designing an object or structure to satisfy physical How can you use angle bisectors to find the constraints or minimize cost; working point that is equidistant from all the sides of a Why are the points of concurrency called with typographic grid systems based triangle? incenter for angle bisectors of triangles and Geometry Lab - Constructing Bisectors p. 321 ★ on ratios). circumcenter for the perpendicular bisectors? Objective(s): Students will identify and use perpendicular bisectors in triangles Students will identify and use angle bisectors in triangles. Students will construct the special segments (perpendicular bisectors and angle bisectors) in acute, right and obtuse triangles. Students will prove the perpendicular bisectors and the angle bisectors of a triangle meet at a point. Domain: Enduring Understanding(s) Lesson 5.2 Medians and Altitudes of Triangles Vocabulary pp. 332-341 Cluster: Apply geometric concepts in The properties of triangles create a basis for Median, centroid, altitude, orthocenter modeling situations understanding and reasoning that extends to Use the following Engageny Lessons to introduce the concepts/build conceptual other geometric figures. Writing in Math Apply geometric methods to solve understanding. If used, these lessons should design problems (e.g., designing an be used before the lessons from the textbooks. Summarize the special segments of a triangle object or structure to satisfy physical Essential Question(s) including their names, properties and diagrams Additional Lesson(s): constraints or minimize cost; working How can you find the balance point or center of into a chart or booklet. Engageny Geometry Module 1, Topic E, Lesson with typographic grid systems based gravity of a triangle? 30 – ★ on ratios).
Domain: Cluster: Apply geometric concepts in modeling situations Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). ★ other geometric figures. Essential Question(s) How can you use perpendicular bisectors to find the point that is equidistant from all the vertices of a triangle? How can you use angle bisectors to find the point that is equidistant from all the sides of a triangle? Objective(s): Students will identify and use perpendicular bisectors in triangles Students will identify and use angle bisectors in triangles. Students will construct the special segments (perpendicular bisectors and angle bisectors) in acute, right and obtuse triangles. Students will prove the perpendicular bisectors and the angle bisectors of a triangle meet at a point. ensure that the intended outcome and level of rigor (mainly conceptual understanding and application) of the standards are met. Task(s) Centers of Triangles Centers of Triangles Solutions Geometry Lab - Constructing Bisectors p. 321 incenter Writing in Math Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. Be sure to include their points of concurrency. Why are the points of concurrency called incenter for angle bisectors of triangles and circumcenter for the perpendicular bisectors? Domain: Cluster: Apply geometric concepts in modeling situations Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). ★ Enduring Understanding(s) The properties of triangles create a basis for understanding and reasoning that extends to other geometric figures. Essential Question(s) How can you find the balance point or center of gravity of a triangle? Lesson 5.2 Medians and Altitudes of Triangles pp. 332-341 Use the following Engageny Lessons to introduce the concepts/build conceptual understanding. If used, these lessons should be used before the lessons from the textbooks. Additional Lesson(s): Engageny Geometry Module 1, Topic E, Lesson 30 – Vocabulary Median, centroid, altitude, orthocenter Writing in Math Summarize the special segments of a triangle including their names, properties and diagrams into a chart or booklet.
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