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Common Core Geometry Teacher: Mr. Tracz Room #: 308 Phone: 842-6289 ext# 355 E-mail: [email protected] OFFICE HOURS Monday – Friday, before 7:45am, and after 3:30pm *You are welcome to come to 9th period as well. TEXTBOOK: None, The course learnings and review will be done through guided notes and problem sets. COURSE DESCRPTION: In this second year of the Common Core High School Track, students have the opportunity to extend their mathematical knowledge beyond that was learned in Foundations of Math and Common Core Algebra in a way that will prepare them for the introduction to Common Core Advanced Algebra. Students will be provided the opportunity to develop their analytical and problem solving skills and to solve problems in mathematical and real-world settings. Graphing calculators are required for students’ use in plotting functions, analyzing data, calculating probabilities, experimenting with Trigonometric ratios and simulating experiments. Completion of this sequence prepares a student for further work in pre-calculus in their senior year and also prepares them any college math course. In short, although there are many types of geometry, this course will explore Euclidean geometry (in the plane), both with (analytically) and without coordinates (synthetically). Topics covered in this course will be diverse; from estimating the amount of wood needed to frame a sloping roof to proving an essential property like the Pythagorean Theorem, experimental and modeling tools and tactics will allow the investigation of these geometric phenomena. 1 COURSE DESCRPTION: Unit #1 – Constructions -Knowing and using angles, circles, perpendicular and parallel lines and being able to create geometric “staples” using a compass -Proving theorems about lines and angles, including vertical angles are congruent, transversal theorems, and perpendicular bisectors. Unit #2 – Unknown Angles Unit #3 – Transformations and Rigid Motions -Understand how transformations are functions that input and output coordinate points and or shapes. -Develop working definitions for Rotations, Reflections, Translations, and Dilations. -Show how multiple transformations can map objects onto itself to prove congruence in reflections and rotations. Unit #4 – Congruence/Proving Properties and Advanced Constructions - Prove theorems about congruence in triangles (ASA AAS SAS SSS HL). -Describe special properties in the triangles (Mid-segments, Medians, Concurrency). -Use Dilations and Scale factors to explore transformations. -Use AA Similarity to explain Dilations and similarity between triangles with congruent angles. -Use Similarity to solve for missing information in right triangles and verify similarity. -Understand the relationship between sine and cosine of complimentary angles. -Use Geometric Terms to describe physical objects and apply concepts of area and volume to model mathematically. -Determine the volume and areas of a cylinder, cone, pyramid, and circle. - Use the Distance, Midpoint, and Slope formulas to prove or disprove previously learned theorems about shapes and properties of shapes. -Prove all circles are similar and identify relationships among radii, diameters, inscribed angles, tangents, secants, and other “accepted” properties of circles. Unit #5 – Triangle Similarity Unit #6-Triangle Trigonometry Unit #7-Problem Solving Unit #8 - Solids Unit #9 –Algebra and Coordinate Proofs Unit #10 - Circles 2 COMPETENCIES: Students must have successfully completed Common Core Algebra and passed the State Exam with it. TESTING/MEANS OF EVALUATION: Final grades will be determined according to the following grading policy: 1. Exams/Essay/Projects-35% = 100 points (each) 2. Quizzes-20% = 25 points (each) 3. Homework-20% = 5 points (each) 4. Participation-15% = 50 points 5. Classwork/Weeklys-10% = 50 points A minimum of 20 grades and 400 points are required per marking period. The Final Exam will be added to the 4 marking periods to determine the Final Average. An exam is required, this exam is a standalone grade and will not count towards the Final Average. “Weeklys” will be distributed and collected on Fridays and will be comprised of topics we have previously covered. THESE ARE MANDATORY! If a student fails a test, they may be asked to stay for 9th period at the teacher’s discretion. GRADING DETERMINATION: A = 90 – 100 B = 80 – 89 C = 70 - 79 D = 65 - 69 F = < 64 ATTENDANCE: The school believes that classroom participation is related to and affects a student's performance and grasp of the subject matter and, as such, is properly reflected in a student's final grade. For purposes of this policy, classroom participation means that a student is in class and prepared to work. Consequently, for each marking period, a certain portion of a student's final grade will be based on classroom participation as well as the student's performance on homework, tests, papers, projects, etc. as determined by the building administrator and/or classroom teacher. Students are expected to attend all scheduled classes. Consistent with the importance of classroom participation, unexcused student absences, tardiness, and early departures will affect a student's grade, including credit for classroom participation, for the marking period. As a requisite part of course completion in order to obtain credit and gain admission to final examinations, students must not miss more than 8 days of class in a semester course or 16 days of class in the school year due to unexcused absence. Transfer students and students re-enrolling after having dropped out will be expected to attend a prorated minimum number of the scheduled class meetings during their time of enrollment. 3 ***Students at Maritime are preparing to be young adults and for College. In College when you are absent your teacher will not seek you out to “catch you up” due to your absences. When a student’s is absent it is THERE responsibility to get the notes (from a classmate or me), the assignment (which will be in a folder in the back of the room), and other information they may need from class. MATERIALS NEEDED: Pen/Pencil. 3 Ring Notebook with dividers. College rule 3 hole punched paper. Texas Instruments Scientific/Graphing Calculator (TI-84 Plus) – calculator is provided for cadets during class period time. Cadets may need to purchase a scientific calculator for any homework given and eventually is needed for college. Parents/Guardians: After you have read this, please sign and return this portion of it to class by Friday. (Please keep my contact information.) X________________________________________ Name:____________________________________ Phone Number:______________________________ e-mail:_____________________________________ 4