Analyze geometric relationships in to verify conjectures Unit Objectives: At the end of this module, students will be able to independently use their learning to: Identify and use perpendicular bisectors and bisectors in triangles Identify and use medians and altitudes in triangles Recognize and apply properties of inequalities to the measure of the angles of a triangle Recognize and apply properties of inequalities to the relationships between the angles and the sides of a triangle Use the Triangle Inequality Theorem to identify possible triangles Prove triangle relationships using the Triangle Inequality Theorem Apply the Hinge Theorem or its converse to make comparisons in two triangles Focus Standards Addressed in this Unit: CC.2.3.HS.A.3 Verify and apply geometric theorems as they relate to geometric figures – CC.2.3.HS.A.13 Analyze relationships between two-dimensional and three-dimensional objects – Important Standards Addressed in this Unit: CC.2.3.HS.A.14 geometric concepts to model and solve real-world problems – Misconceptions: Identifying the true center of a triangle. Concepts/Content: Competencies/Skills: Description of Activities: Bisectors of Triangles Learn about special segments Direct teacher-led instruction Medians and Altitudes of and points related to triangles. Large group Q & A discussion Triangles Learn about relationships Independent student work Inequalities in One Triangle between the sides and angles of group collaboration The Triangle Inequality triangles. Online remedial/enrichment videos Theorem Inequalities in Two Triangles Assessments: informal questioning in-class formative assessments review of homework periodic quizzes unit test Interdisciplinary Connections: Additional Resources: N/A Glencoe Geometry Textbook USA TestPrep
Analyze geometric relationships in to verify conjectures Unit Objectives: At the end of this module, students will be able to independently use their learning to: Identify and use perpendicular bisectors and bisectors in triangles Identify and use medians and altitudes in triangles Recognize and apply properties of inequalities to the measure of the angles of a triangle Recognize and apply properties of inequalities to the relationships between the angles and the sides of a triangle Use the Triangle Inequality Theorem to identify possible triangles Prove triangle relationships using the Triangle Inequality Theorem Apply the Hinge Theorem or its converse to make comparisons in two triangles Focus Standards Addressed in this Unit: CC.2.3.HS.A.3 – Verify and apply geometric theorems as they relate to geometric figures CC.2.3.HS.A.13 – Analyze relationships between two-dimensional and three-dimensional objects Important Standards Addressed in this Unit: CC.2.3.HS.A.14 – geometric concepts to model and solve real-world problems Misconceptions: Identifying the true center of a triangle. Concepts/Content: Bisectors of Triangles Medians and Altitudes of Triangles Inequalities in One Triangle The Triangle Inequality Theorem Inequalities in Two Triangles Competencies/Skills: Learn about special segments and points related to triangles. Learn about relationships between the sides and angles of triangles. Description of Activities: Direct teacher-led instruction Large group Q & A discussion Independent student work group collaboration Online remedial/enrichment videos Assessments: informal questioning in-class formative assessments review of homework periodic quizzes unit test Interdisciplinary Connections: N/A Additional Resources: Glencoe Geometry Textbook USA TestPrep