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Geometry (8.G) Big Ideas: Students use ideas about distance and angles, how they behave under translations, rotations, reflections, and dilations, and ideas about congruence and similarity to describe and analyze twodimensional figures and to solve problems. Students show that the sum of the angle in a triangle is the angle formed by a straight line, and that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines. Students understand the statement of the Pythagorean Theorem holds, for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points on the coordinate plane, to find lengths, and to analyze polygons. Students complete their work on volume by solving problems involving cones, cylinders, and spheres. Overview (Big Ideas), Enduring Understandings, Essential Questions, Common Misconceptions: HCPSS Curriculum Framework Grade 8 Unit 4.docx 8.G.A.5. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. Web Resources: http://illustrativemathematics.org/standards.k8 This link has illustrations that link to tasks to support standard 8.G.5. Simply click on Geometry, 8th grade, then on the illustrations link. http://www.mathopenref.com/polygonexteriorangles.html This link allows students to manipulate a polygon and observe the relationships between the sum of exterior angles