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Analytic Geometry Course Syllabus TEACHER: Nick Bridges PHONE: (770) 382-3200 EMAIL: [email protected] TEXTBOOK: Analytic Geometry COURSE PREREQUISITES: Successful completion of Coordinate Algebra BOOK COSTS: $20 COURSE DESCRIPTION: The focus of Analytic Geometry on the coordinate plane is organized into 6 critical areas. Transformations on the coordinate plane provide opportunities for the formal study of congruence and similarity. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. The study of circles uses similarity and congruence to develop basic theorems relating circles and lines. The need for extending the set of rational numbers arises and real and complex numbers are introduced so that all quadratic equations can be solved. Quadratic expressions, equations, and functions are developed: comparing their characteristics and behavior to those of linear and exponential relationships from Coordinate Algebra. Circles return with their quadratic algebraic representations on the coordinate plane. The link between probability and data is explored through conditional probability. The Mathematical Practice Standards apply throughout each semester and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. COURSE OBJECTIVES: Unit 1: Define & use dilations in a coordinate plane to develop similar figures. Use AA, SSS, & SAS similarity postulates & theorems to prove triangles similar. Apply Triangle Proportionality Theorem. Use SSS, SAS, ASA, AAS, & HL postulates & theorems to prove triangles congruent. Prove and apply theorems about parallelograms. Make formal geometric constructions using a wide variety of tools & methods. Unit 2: Identify and use special right triangles. Define and apply sine, cosine, and tangent ratios to right triangles. Unit 3: Understand & apply properties of angles & segments formed in circles. Find Arc Length & Area of Sectors of Circles. Solve problems involving volume of cylinders, pyramids, cones, & spheres. Unit 5: Factor quadratics Solve quadratic equations using square roots, factoring, quad. formula, and complete the square. Graph quadratics by translations of parent functions in vertex form, standard form, & factored form. Identify all characteristics of quadratics in various forms. Estimate average rate of change from a quadratic graph. Solve a simple system involving a linear & quadratic equation. Linear & Quadratic Regression Unit 6: Write and interpret the equation of a circle & a parabola. Prove properties involving circles & parabolas. Show the intersection of a line & quadratic is the point where the two equations are equal. Unit 7: Elementary set theory & notation (sets, subsets, intersections, and unions). Unit 4: Rewrite expressions involving radicals & rational exponents. Understand & compute dependent/independent Explain closure properties of arithmetic operations with probabilities. rational & irrational numbers. Understand & compute simple conditional Define & perform operations with imaginary & complex probabilities. numbers. Perform operations on polynomials. Explain closure properties of arithmetic operations on polynomials. CLASS EXPECTATIONS: 1 Students are expected to be on time to class, prepared to begin when the bell rings. 2 Students are expected to bring their book, pencil, paper, and a calculator (TI-36 X PRO) to class daily. 3 Students are expected to arrive with their assignment completed. 4 RESPECT for the teacher and classmates are to be given at all times. 5 Students are expected to demonstrate regular and punctual attendance, and comply with the attendance policy to receive credit for the course. (See student handbook) 6 Students are not to damage desks, walls, bulletin boards, or any classroom property. 7 Students must return progress reports signed by their parent or guardian. 8 Finally, students are expected to work with a partner, take notes, work in class, finish work at home, and have a positive attitude. GRADE EVALUATION: 1st Sem: 2nd Sem: 50% of final year grade 50% of final year grade Tests/Projects: Daily (HW, quizzes): Midterm/FINAL 35% 45% 20% _________________________________ Total Year Grade: 100% MAKE-UP POLICY: Students will be allowed to turn in “LATE” homework assignments one day after the homework is due for a maximum grade of a 70. The students will also be allowed to make-up any assignments they have missed for absences. Check the student handbook about the make-up work policy. Re-do’s and Retakes of any assignments or tests “WILL ALWAYS BE AT THE TEACHER’S DISCRETION!” Math Study Halls: Study halls will begin August 19, 2014. Tuesday and Thursday afternoons 3:30 to 5:00 Room 108 (Cauthen) Wednesday mornings 7:10 to 7:40 Room 107 (Collier) Friday mornings 7:10 to 7:40 Lab 128 (attendance building) STUDENT SIGNATURE: ___________________________________________________________ PARENT SIGNATURE: _____________________________________________________________ PARENTS’ CELL PHONE NUMBER: Mom cell: ___________________________________________________________ Dad cell: ____________________________________________________________ E-MAIL ADDRESS: Parent’s email: _______________________________________________________ Student’s email: ______________________________________________________