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Geometry Unit 6 Plan – 12 Periods Unit of Study: Quadrilaterals and Polygons Geometry Unit 6 Standard(s) to be Assessed HSG-CO.C.11 - Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. HSG-GPE.B.4 - Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). Learning Target to be Assessed LT1: Prove theorems about parallelograms including: a) Opposite sides are congruent, b) Opposite angles are congruent, c) The diagonals of a parallelogram bisect each other, and d) Rectangles are parallelograms with congruent diagonals Pre/Post Angle Relationships Assessment Items #s Unit Common Assessment Item #s 21 1,2,3,4,5 LT2: Use coordinates to prove simple geometric theorems algebraically. 6 HSG-GPE.B.7 (supporting standard) Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. HSG-MG.A.1 - Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★ HSG-SRT.B.5 - Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Page 1 of 2 LT3: Use geometric shapes, their measures, and their properties. LT4: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 19, 20 7,8,9,10,11 22 12,13 Geometry Unit 6 Plan – 12 Periods Instructional Information for Quadrilaterals and Polygons Geometry Unit 6 (14 periods) Big Idea: Knowing properties of quadrilaterals helps us understand and differentiate between shapes. Essential Question: What properties do different road signs have that make them the shape that they are? Resources: Formative Assessment Lessons: http://map.mathshell.org/materials/lessons.php Applying Angle Theorems Page 2 of 2