Western Mennonite School Course: Geometry Instructor: Dave Chambers
2012-2013 Grade Level: 10-12
Course Description: This course in plane geometry is designed to develop logical thinking and deductive reasoning skills through a study of both formal and informal geometry, where both proofs and practical applications are stressed in the learning experience. Students will learn the important geometric concepts, including introductory trigonometry. Goals and Objectives: The goals and objectives are to learn the basics of geometry, including terminology, identifying objects, finding their areas and volumes, and becoming familiar with their theorems and postulates. Course Content: Basics of Geometry o Finding Patterns o Inductive Reasoning o Point, Lines, and Planes o Intersections o Segments and Measure o Angles and Measure Reasoning and Proof o Conditional Statements o Definitions and Biconditional Statements o Deductive Reasoning o Reasoning with Properties from Algebra o Proving Statements about segments o Proving Statements about angles Parallel and Perpendicular Lines o Line Relationship o Theorems about Perpendicular Lines o Angles formed by Transversals o Parallel Lines and Transversals o Showing how lines are Parallel o Perpendicular and Parallel Lines o Translations Congruent Triangles o Congruence and Triangle o Proving Triangle are Congruent: SSS and SAS o Proving using ASA and AAS o Hypotenuse-Leg Congruence Theorem o Using Congruent Triangles o Angle and Perpendicular Bisectors Properties of Triangles o Perpendiculars and Bisectors o Bisectors of a Triangle o Medians and Altitudes of a Triangle o Midsegment Theorem o Inequalities in One Triangle o Indirect proof and Inequalities in Two Triangles Quadrilaterals o Polygons o Parallelograms o Showing Quadrilaterals and Parallelograms o Rhombuses, Rectangle, and Squares o Trapezoids o Special Quadrilaterals Similarity o Ratio and Proportion
o Similar Polygons o Showing Triangles are Similar: AA, SSS, SAS o Proportions and Similar Triangles Right Triangles and Trigonometry o Square Roots o 45-45-90 degree Triangles o 30-60-90 degree Triangles o Tangent Ratio o Sine and Cosine Ratio o Solving Right Triangles Polygons and Area o Area of Squares, Rectangles, Triangles, Parallelograms, Trapezoids o Circumference and Area of Circles Surface Area and Volume o Surface area of Prisms, Cylinders, Pyramids, and Cones o Volume of Prisms, Cylinders, Pyramids, and Cones o Surface Area and Volume of Spheres Materials: Provided by school: Textbook: Geometry Concepts and Skills Provided by student: Scientific calculator, ruler, compass, protractor, pencils, dry erase pen , colored pencils and college paper. Assessment: 6 weeks grading period: 40% of grade from Chapter tests 35% of grade from Homework/Class participation 20% of grade from Quizzes 5% of grade from chapter reviews Semester Grading period: Each 6 weeks grade = 30% total of 90% Semester final exam = 10% 90% + = 80% - 89% = 70% - 79% = 50% - 69% = Below 50% =
A B C D F
Rules and Behavior Expectations: 1) Glorify God in ALL things you do 2) Respect your parents, teachers/staff, schoolmates, and respect yourself Contact Information: Email: Dchambers@westernmennoniteschool.org School phone: (503) 363-2000 ext: 245 Home phone: (503) 269-1733 We have read the course syllabus, and understand its contents and requirements. Student signature _________________________________________Date______________ Parent / Guardian signature ________________________________Date______________ Phone numbers _____________________________E-mail (parent) ____________________