Analytic Geometry - Thomas County Schools：解析几何-托马斯县学校.docxVIP

TeacherLouise Y. L. Phillips, 229 225-5050, ext. 139lphillips@thomas.k12.ga.usSyllabus DisclaimerA syllabus is not a contract between teacher and student, but rather a guide to course procedures on attendance, participation, requirements, grading, goals and objectives. The mathematics department reserves the right to amend the syllabus when necessary to best fulfill the course objectives. Students will be duly notified.Course DescriptionAnalytic geometry connects algebra and geometry, resulting in powerful methods of analysis and problem solving.This is the second course in a sequence of three high school courses designed to ensure career and college readiness. The course embodies a discrete study of geometry analyzed by means of algebraic operations with correlated probability/statistics applications and a bridge to the third course through algebraic topics. The course requires that students:Extend the properties of exponents to rational exponentsUse properties of rational and irrational numbers; perform arithmetic operations with complex numbersUse complex numbers in polynomial identities and equationsUnderstand congruence in terms of rigid motionsProve geometric theoremsMake geometric constructionsUnderstand similarity in terms of similarity transformations and prove theorems involving similarityDefine trigonometric ratios and solve problems involving right trianglesUnderstand and apply theorems about circles; find arc lengths and areas of sectors of circlesTranslate between the geometric description and the equation for a conic sectionUse coordinates to prove simple geometric theorems algebraicallyExplain volume formulas and use them to solve problemsInterpret the structure of expressions; write expressions in equivalent forms to solve problemsPerform arithmetic operations on polynomialsCreate equations that describe numbers or relationshipsSolve equations and inequalities in one variable and systems of equationsInterpret functions that arise in applications i