G-SRT.5. Use congruence and 7.2 Properties of Parallelograms similarity criteria for triangles to solve 7.3 Proving That a Quadrilateral is a problems and to prove relationships in Parallelogram geometric figures 7.4 Properties of Special Parallelograms 7.5 Properties of Trapezoids and Kites 8.2 Proving Triangle Similarity by AA Modeling Task: 8.3 Proving Triangle Similarity by Mars Task: SSS and SAS 9.3 Similar Right Triangles Inside Mathematics 11.1 Circumference and Arc Length Supporting clusters: 11.2 Areas of Circles and Sectors G-MG 1-3: Modeling with Geometry: 11.5 Volumes of Prisms and Cylinders Apply geometric concepts 11.6 Volumes of Pyramids in modeling situations 11.7 Surface Areas and Volumes of Cones 11.8 Surface Areas and Volumes of Spheres High School Geometry Unit 3 – Express Geometric Properties with Equations; Extend Similarity to Circles Critical Area: Students investigate triangles and decide when they are similar; with this newfound knowledge and their prior understanding of proportional relationships, they define trigonometric ratios and solve problems using right triangles. They investigate circles and prove theorems about them. Connecting to their prior experience with the coordinate plane, they prove geometric theorems using coordinates and describe shapes with equations. Students extend their knowledge of area and volume formulas to those for circles, cylinders and other rounded shapes. They prove theorems, both with and without the use of coordinates. CLUSTERS COMMON CORE STATE Big Ideas Geometry Resources STANDARDS Use coordinates to simple Geometry - Expressing Geometric geometric theorems algebraically Properties with Equations Materials: G.GPE.4. Use coordinates to prove 5.8 Coordinate Proofs Compass, straight-edge, graph simple geometric theorems 10.7 Circles in the Coordinate Plane paper, reflective surface, algebraically. For example, prove or
G-SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures Supporting clusters: G-MG 1-3: Modeling with Geometry: Apply geometric concepts in modeling situations 7.2 Properties of Parallelograms 7.3 Proving That a Quadrilateral is a Parallelogram 7.4 Properties of Special Parallelograms 7.5 Properties of Trapezoids and Kites 8.2 Proving Triangle Similarity by AA 8.3 Proving Triangle Similarity by SSS and SAS 9.3 Similar Right Triangles 11.1 Circumference and Arc Length 11.2 Areas of Circles and Sectors 11.5 Volumes of Prisms and Cylinders 11.6 Volumes of Pyramids 11.7 Surface Areas and Volumes of Cones 11.8 Surface Areas and Volumes of Spheres Modeling Task: Mars Task: Inside Mathematics High School Geometry – Unit 3 Express Geometric Properties with Equations; Extend Similarity to Circles Critical Area: Students investigate triangles and decide when they are similar; with this newfound knowledge and their prior understanding of proportional relationships, they define trigonometric ratios and solve problems using right triangles. They investigate circles and prove theorems about them. Connecting to their prior experience with the coordinate plane, they prove geometric theorems using coordinates and describe shapes with equations. Students extend their knowledge of area and volume formulas to those for circles, cylinders and other rounded shapes. They prove theorems, both with and without the use of coordinates. CLUSTERS COMMON CORE STATE STANDARDS Big Ideas Geometry Resources Use coordinates to simple geometric theorems algebraically Geometry - Expressing Geometric Properties with Equations G.GPE.4. Use coordinates to prove simple geometric theorems algebraically. For example, prove or 5.8 Coordinate Proofs 10.7 Circles in the Coordinate Plane Materials: Compass, straight-edge, graph paper, reflective surface,
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