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Honors Geometry Mr. Frank Green [email protected] COURSE DESCRIPTION Honors Geometry stresses both the basic structures of geometry and formal proofs. Also, concepts of space geometry are integrated with plane geometry. Algebraic skills are reviewed, strengthened, than applied to solving problems in Geometry. In addition, the course includes trigonometry, area and volume, constructions, coordinate geometry, and transformations. As in Algebra II, applications of Geometry are very important to the course content. More content will be covered at an accelerated pace compared to the regular Geometry course. ENDURING UNDERSTANDINGS / ESSENTIAL QUESTIONS Students will understand: Points, lines, planes, distances, midpoints, angles, and polygons. Inductive and deductive reasoning. Logic, conditional statements, and proofs. Parallel lines, transversals, and angles. Slopes and equations of lines. Classifying triangles by angles and sides. Congruent triangles. Proving congruence of triangles—SSS, SAS, ASA, AAS. Isosceles triangles. Bisectors, medians, and altitudes. The triangle inequality theorem. Proportions, similar polygons, and similar triangles. Fractals. Geometric mean. The Pythagorean Theorem. Special right triangles (45-45-90 and 30-60-90). Trigonometry. Parallelograms, rectangles, rhombi, squares, and trapezoids. Reflections, translations, and rotations. Tessellations, dilations, vectors, and matrices. Circles, arcs, and chords. Inscribed angles, tangents, and secants. Areas of parallelograms, triangles, trapezoids, rhombi, circles, and regular polygons. Surface areas and volumes of prisms cylinders, pyramids, cones and spheres. INSTRUCTIONAL MATERIALS Textbook: Geometry (Glencoe) 2005 Internet activities Internet help: www.geometryonline.com Hewlett Packard scientific calculator UNITS 1st Semester: 1) Points, Lines, Planes, and Angles 2) Reasoning and Proof 3) Parallel and Perpendicular Lines 4) Congruent Triangles 5) Relationships in Triangles 6) Proportions and Similarity 2 nd Semester: 7) Right Triangles and Trigonometry 8) Quadrilaterals 9) Transformations 10) Circles 11) Areas of Polygons and Circles 12) Surface Area and Volume ASSESSMENT Daily assignments may be graded either the next day or on a syllabus situation. Tests will be given at the end of each chapter. Extra credit and enrichment problems will be given randomly throughout the semester. In addition, a participation grade will include positive verbal input, work-ethic, and attendance of help sessions (offered before school, during lunch, and during my prep period). Late assignments will be worth one-half credit and are due within two days. GRADING Grades will be calculated based on tests (100 points), quizzes (50 points), daily assignments / activities, and extra credit (these vary in point value). The final grade will closely resemble a 50:50 ratio of exams (tests and quizzes) with daily work. The percentage score will be total points accumulated divided by total points possible, which corresponds to the following letter grades: A = > 90 B = 80 – 89.9 C = 70 – 79.9 D = 60 – 69.9 F = < 60 CLASSROOM RULES Discipline yourself so no one else has to. Respect students, the teacher, and yourself.