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INFORMAL GEOMETRY – UNIT 6 Polygons and Circles – Part I Glencoe: Geometry: Concepts and Applications Target Time Frame: 10 days ESSENTIAL STANDARD 1 – Solves problems and practical applications using appropriate approaches and tools (including calculators and computers) and judges the reasonableness of results. 2 – Uses algebraic skills and concepts to solve geometric problems throughout geometry. 3 – Uses visualization skills to explore and interpret both two- and three-dimensional geometric figures using such topics as projections, cross sections, and locus problems. 11 – Classifies triangles as acute, right, obtuse, equilateral, isosceles, scalene; and classifies polygons as regular, convex, congruent. 14 – States and applies the triangle sum, exterior angles, and polygon angle sum theorems. 19 – States and applies properties of triangles and quadrilaterals such as parallelograms, rectangles, rhombi, squares, and trapezoids. 21 – Uses properties of quadrilaterals to establish and test relationships involving diagonals, angles, and lines of symmetry. ESSENTIAL QUESTION How do we solve problems and practical applications and judge the reasonableness of the results? What algebra skills and concepts are used in geometry? How can visualization skills help you explore both solid and plane geometry? DEPTH for MASTERY All Throughout unit All Throughout unit All Throughout unit How do you classify polygons and triangles? All 10.1 What is the polygon sum theorem? How is it used? What are the properties of triangles and quadrilaterals and how do they apply? Polygon sum theorems 10.2 All 8.2 – 8.5 Sections 8.1 COMMENTS ESSENTIAL QUESTION 4 – Uses inductive and deductive reasoning What is the difference to reach conclusions, identifies conjectures between inductive and deductive reasoning? and counterexamples, and describes the nature of a deductive mathematical system. 6 – Uses formal and/or informal logical How do you use formal and informal reasoning reasoning processes. processes? 20 – Recognizes and applies the properties How do we apply of inequalities to the measures of segments properties of inequalities to the measures of and angles in triangles. segments and angles? IMPORTANT STANDARD EOCT Domains Taught in this Unit: UNIT COMMENTS: DEPTH for MASTERY All Throughout unit All Throughout unit All 8.2 – 8.5 Sections COMMENTS