4.3 Congruent Triangles Name and use corresponding parts of congruent polygons. Prove triangles congruent using the definition of congruence. G.CO.7 G.SRT.5 1 4.4 Proving Triangles Congruent Use the SSS and SAS Postulates to test for triangle congruence. Construct an angle bisector. (Extend) Prove constructions using congruent measures. (Extend) G.CO.10, G.CO.12, G.SRT.5 2 4.5 Proving Triangles Congruent Use the ASA and AAS Postulates to test for triangle congruence G.CO.10 G.SRT.5 2 4.6 Isosceles and Equilateral Triangles Use properties of isosceles and equilateral triangles. G.CO.10 G.CO.12 1 4.7 Congruence Transformations Identify reflections, translations, and rotations. Verify congruence after a congruence transformation. G.CO.6 G.CO.7 2 4.8 Triangles and Coordinate Proof Position and label triangles for use in coordinate proofs. coordinate proofs. G.CO.10 G.GPE.4 2 Review and Assess 4 - - - - 13 Days Lessons 4 Review/Assess 17 Total Days - - 5.1 Bisectors of Triangle Construct perpendicular bisectors and bisectors of triangles. (Explore) Identify and use perpendicular bisectors in triangles. G.CO.10 G.MG.3 2
Identify and use angle bisectors in triangles. 5.2 Medians and Altitudes of Triangles Identify and use medians and altitudes in triangles. Identify and use altitudes in triangles. G.CO.10 G.MG.3 2 5.3 Inequalities in One Triangle Recognize and apply properties of inequalities to the measures of the angles of a triangle. Recognize and apply properties of inequalities to the relationships between the angles and the sides of a triangle. G.CO.10 1 5.4 Indirect Proof Write indirect algebraic proofs. Write indirect geometric proofs. G.CO.10 1 5.5 The Triangle Inequality Use the Triangle Inequality Theorem to identify possible triangles. Prove triangle relationships using the Triangle Inequality Theorem. G.CO.10 G.MG.3 2 5.6 Inequalities in Two Triangles Apply the Hinge Theorem or its converse to make comparisons in two triangles. G.CO.10 2 Review and Assess 4 - - - - 10 Days Lessons 4 Review/Assess 14 Total Days - - Quarterly 2 Review for Quarterly Exam Chapter 3.3 – 3.6 Chapter 4 Chapter 5 40 days of Lessons 1 day 2 days 2 days
including the medians of trapezoids. Recognize and apply the properties of kites. Review and Assess 4 - - - - 8 Days Lessons 4 Review/Assess 12 Total Days - - 12-1 Representations of Figures Draw isometric of three-dimensional figures Investigate cross sections of three-dimensional figures G.GMD.4 1 Optional Optional 12-2 Surface Areas of Prisms and Cylinders Find lateral areas and surface areas of prisms Find lateral areas and surface areas of cylinders G.MG.3 1 12-3 Surface of Pyramids and Cones Find lateral areas and surface areas of pyramids Find lateral areas and surface areas of cones G.MG.1 1 Optional Optional 12-4 Volumes of Prisms and Cylinders Find volumes of prisms Find volumes of cylinders G.GMD.1, G.GMD.3 1 Optional Optional 12-5 Volumes of Pyramids and Find volumes of pyramids Find volumes of cones G.GMD.1, G.GMD.3 1 Optional Optional 12-6 Surface Areas and Volumes of Spheres Find surface of spheres Find volumes of spheres G.GMD.1, G.GMD.3 1 Optional Optional 12-7 Spherical Geometry Describe sets of points on a sphere Compare and contrast Euclidean and spherical geometries 1 Optional Optional 12-8 Congruent and Similar Solids Identify congruent or similar solids Use properties of similar solids 1 Optional Optional Review and Assess 2 - - - - 8 Days Lessons - -