Download Geometry High Honors - Montclair Public Schools

MONTCLAIR HIGH SCHOOL COURSE SYLLABUS Department: Math Course: Geometry High Honors Course Description: The Geometry High Honors course provides the advanced student with rigorous and in-­‐depth instruction, a faster pace, higher order thinking skills, and a cooperative learning environment. At the completion of the course, the student will demonstrate mastery of basic properties of geometry figures involving congruent and similar figures, area, and volume. Students are expected to read and solve problems each night. Standards: Details regarding geometry common core curriculum standards can be viewed here: http://www.corestandards.org/Math/Content/HSG/introduction/ Text: Glencoe Geometry Common Core Edition, ISBN: 978007663929 Online Edition available, directions for account setup provided by teacher. Supplementary Materials: Other materials will include teacher-­‐provided handouts, extra online practice such as Khan Academy, as well as rulers, protractors, and compasses. Units of Study: •
•
•
•
•
Points, lines, planes and angles G.CO.A.1 Reasoning and proof G.CO.C.9 Perpendicular and parallel lines G.GPE.B.5 Congruency in triangles and other polygons G.CO.8, G.CO.10 Quadrilaterals G.CO.11 •
•
•
•
•
•
Proportion and similarity G.SRT.3, G.SRT.4, G.SRT.11 Right triangles G.SRT.7, G. Circles G.C.1, G.C.3,G.C.5, G.GPE.1 Polygons and arcs G.CO.11 Transformations G.CO.2, G.CO.5, G.CO.6 Constructions G.CO.D.12 Proficiencies: Differentiate among various concepts of points, lines and angles leading to geometry postulates and theorems. Understand if-­‐then statements as applied to definitions, theorems and postulates. Prove triangles congruent using SSS, SAS, ASA, AAS and HL. Understand the difference between deduction and induction. Recognize and apply basic properties of parallel and perpendicular lines. Understand and use the relationships between seven major types of quadrilaterals to solve problems. Recognize convex polygons and solve problems about their interior and exterior angles. Recognize similar figures and solve problems using the scale factor. Understand and use formulas for area of quadrilaterals and circles. Understand and use formulas for surface area and volume of prisms, pyramids, cones, cylinders and spheres. Apply Pythagorean theorem and properties of special right triangles to solve problems. Know and apply the distance and midpoint formulas for two-­‐dimensional coordinate geometry to prove theorems. Understand properties of ratios and proportions. Use properties of circles to solve for various segments and angles. Solve right triangles using trigonometric ratios Evaluation and Assessment: The final grade will consist of each • Tests 60% marking period (22.5% each), the • Quizzes 30% midterm exam (5%) and the final • Homework 10% exam (5%).