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INFORMAL GEOMETRY – UNIT 3 Points, Lines, Planes, and Angles – Part II Glencoe: Geometry: Concepts and Applications Target Time Frame: 9 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. 10 – Identifies and defines or describes properties associated with points (distance, between, collinear, coplanar), segments (midpoint, congruence, bisector), angles (bisector, congruence, interior, exterior), and lines and planes (perpendicular, parallel, intersecting). 12 – Recognizes parallel lines and planes, skew lines, and pairs of angles formed when two lines are cut by a transversal (alternate and same side, interior and exterior, corresponding). 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 What are examples of parallel lines, skew lines, alternate, consecutive, and interior angles? Angles, lines and planes 4.1 – 4.3 ?? 4.1 Sections COMMENTS IMPORTANT STANDARD 4 – Uses inductive and deductive reasoning to reach conclusions, identifies conjectures and counterexamples, and describes the nature of a deductive mathematical system. 6 – Uses formal and/or informal logical reasoning processes. ESSENTIAL QUESTION What is the difference between inductive and deductive reasoning? DEPTH for MASTERY All Throughout unit How do you use formal and informal reasoning processes? All Throughout unit Perpendicular and parallel lines DEPTH for MASTERY Parallel lines 4.1 13 – Applies basic facts about points, lines and planes, and about perpendicular and parallel lines and planes. COMPACT STANDARD 16 – Uses tools such as compass and straightedge, paper folding, tracing paper, mira, or computer to construct congruent segments, angles, triangles, and circles; an angle bisector; a perpendicular bisector; a perpendicular line from a point on a line; parallel lines; proportional segments; tangents; and inscribed and circumscribed polygons. EOCT Domains Taught in this Unit: UNIT COMMENTS: ESSENTIAL QUESTION How do you prove lines parallel? Sections Sections 4.4 COMMENTS COMMENTS