College Prep. Geometry Course Syllabus


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1 College Prep. Geometry Course Syllabus Mr. Chris Noll Turner Ashby High School  Room Website: School Phone: Text: Glencoe Geometry, Virginia Edition; Copyright 2005 Textbook Website: Why Study Geometry? When you think about Geometry, triangles and measuring volume of solids may come to mind. Geometric principles are important in the design and construction of buildings and roads. In addition, the design and use of many machines and scientific instruments are based on geometric foundations. Perhaps more important, however, is the exposure to logic and proof. A strong sense of reasoning and logic will prove useful in many aspects of life, even if you don t aspire to be a mathematician or engineer. Course Objectives: CP Geometry is a course designed to deeply explore concepts related to Euclidean Geometry. In addition, students will develop skills in logic and proof. Students enrolled in CP Geometry are expected to have mastered concepts from Algebra I. Students are expected to be proficient in utilization of the Casio graphing calculator. Mastery of the Geometry Standards of Learning included in this syllabus will be expected of each student upon completion of the course. Virginia Standards of Learning (SOL) Test: Given in the spring, students must achieve a passing score on the assessment in order to verify their Geometry credit. Several weeks will be spent reviewing to prepare students in the weeks leading up to the test. Scored out of 600, a score of 400 or higher is considered proficient and scores above 500 qualify as pass advanced. Topics of Study: First Semester: Chapter 1: Points, Lines, Planes, and Angles Chapter 2: Reasoning and Proof Chapter 3: Parallel and Perpendicular Lines Chapter 4: Congruent Triangles Chapter 5: Relationships in Triangles Chapter 6: Proportions and Similarity Second Semester: Chapter 7: Right Triangles and Trigonometry Chapter 8: Quadrilaterals Chapter 9: Transformations Chapter 10: Circles Chapter 11: Areas of Polygons and Circles Chapter 12: Surface Area Chapter 13: Volume
2 Materials: 1.) Three ring binder where work is kept 2.) Plenty of loose leaf notebook paper or singlesubject spiral notebook 3.) Pencils or pens (Please have pencils available to use on assessments.) 4.) Ruler and compass 5.) Casio CFX9850GBPlus, FX9750GPlus, or fx9860gii We will have a classroom set which will be used during class, or you may choose to purchase one of your own. Students who do purchase a calculator will be able to continue using it throughout their high school career. It should be noted, however, that a growing number of mobile apps also perform the scientific functions necessary for Geometry and can be used at home. Classroom Rules: 1.) Be respectful (of classmates, the teacher, property, and yourself). 2.) Be ontask and engaged in all class activities. Procedures: Starting Class: When entering class, students will usually find homework answers to check or a WarmUp activity to complete. Students are expected to begin working promptly on these activities as soon as class begins. Attendance: Attendance is required and essential for student success. If an absence is planned, students should notify the teacher prior to the date. It is the students responsibility to make up work missed due to absence. Students should check in with classmates or the teacher to get any notes missed due to an absence. The homework website may also be referenced for assignments or other announcements. Students should check the Absent Folder upon their return for any handouts given while they were not in class. Quizzes and tests will generally be announced several periods in advance. If absent prior to or on the day of a quiz or test, students are expected to arrange a time outside of class to make up the assignment. Tardies: Students are expected to be on time to class. If a student is tardy to class, he/she will sign in using the notebook provided by the teacher. Office referrals will be submitted and consequences may be assigned after a student is tardy 5 or more times in a semester. Honor Code: We will follow the Turner Ashby High School Honor Code. All assignments will be designated as collaborative, individual, or pledged. Each test or quiz will be pledged as follows: I will neither give nor receive information on this assignment and signed prior to beginning the assignment. All homework is collaborative unless otherwise specified.
3 Additional Help: Students needing additional help outside of class are encouraged to come in before or after school. Tutoring hours will be posted in the classroom and on the teacher s website. Please do not wait until the day before a test or quiz to seek help! Office Referrals: Every effort will be made to resolve situations arising within the classroom. However, office referrals will be issued and RCPS policy will be followed in relation to issues arising from tardies, cell phones, dress code, or other student conduct violations. Grading: Students will be graded according to the Rockingham County Public Schools grading scale: A = B = C = D = F = 59 and below Pluses and minuses will be used to indicate borderline grades at teacher s discretion. Grades for each quarter will be divided into the following categories: Unit Tests = 50% Quizzes/Projects = 35% Classwork/Homework = 15% In addition, semester exams will be given at the end of each semester with the exam making up 1/7 (approximately 14%) of the semester average. The grades for the previous 2 quarters will make up the remaining percentage. An exam exemptions may be earned at the end of the year by demonstrating proficiency on the VA SOL test. Please plan to use your PowerSchool account (username and password issued by TAHS office) to monitor grades throughout the grading period. The teacher will make every effort to enter grades within a timely fashion to keep grades up to date (Homework grades will be entered at the end of each week). Interim reports will be available at the midpoint of each quarter and will be distributed by the office to those students requesting a paper copy. All other students should plan to view their grades online.
4 Grading (continued): Tests (50%): Tests will be given at the end of each unit, usually amounting to about three tests per nine weeks. Tests will be announced well in advance and students should be sure to prepare for these important assessments. No retests will be given. Quizzes (35%): Quizzes will be given throughout a chapter and may or may not be announced. Students should plan on approximately one quiz per week. Homework (15%): All homework assignments are due at the beginning of class period specified. It is expected that students attempt all problems assigned to earn full credit. Assignments may be graded or checked for completeness. When odd problems are assigned, please check answers in the back of the textbook prior to class. Please come to class prepared with homework questions as they arise. Partial credit will be given for work submitted one class period after the assignment was due. Any assignments not turned in will result in a zero. Extra Credit: Bonus points may be earned on occasion for assisting during class. In addition, periodic extra credit assignments may be provided. However, students should not rely on extra credit to make up for low grades. Internet Resources for Students: The teacher will keep an updated homework website with daily homework assignments, quiz and test announcements, and weekly afterschool tutoring times. This can be found at: < Please plan to regularly check grades using the PowerSchool Parent/Student Portal. Please see the main office for login information. < There are multiple free online sites offering very helpful tutorials on a variety of subjects. These can be especially helpful for students who have missed class or find themselves needing a refresher (or a slightly different perspective) on a class topic. Two sites I have found quite helpful are: < <
5 2009 Geometry Standards of Learning Reasoning, Lines, and Transformations G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include a) identifying the converse, inverse, and contrapositive of a conditional statement; b) translating a short verbal argument into symbolic form; c) using Venn diagrams to represent set relationships; and d) using deductive reasoning. G.2 The student will use the relationships between angles formed by two lines cut by a transversal to a) determine whether two lines are parallel; b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and c) solve realworld problems involving angles formed when parallel lines are cut by a transversal. G.3 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include a) investigating and using formulas for finding distance, midpoint, and slope; b) applying slope to verify and determine whether lines are parallel or perpendicular; c) investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and d) determining whether a figure has been translated, reflected, rotated, or dilated, using coordinate methods. G.4 The student will construct and justify the constructions of a) a line segment congruent to a given line segment; b) the perpendicular bisector of a line segment; c) a perpendicular to a given line from a point not on the line; d) a perpendicular to a given line at a given point on the line; e) the bisector of a given angle, f) an angle congruent to a given angle; and g) a line parallel to a given line through a point not on the given line. Triangles G.5 The student, given information concerning the lengths of sides and/or measures of angles in triangles, will a) order the sides by length, given the angle measures; b) order the angles by degree measure, given the side lengths; c) determine whether a triangle exists; and d) determine the range in which the length of the third side must lie. These concepts will be considered in the context of realworld situations. G.6 The student, given information in the form of a figure or statement, will prove two triangles are congruent, using algebraic and coordinate methods as well as deductive proofs. G.7 The student, given information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate methods as well as deductive proofs.
6 G.8 The student will solve realworld problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry. Polygons and Circles G.9 The student will verify characteristics of quadrilaterals and use properties of quadrilaterals to solve realworld problems. G.10 The student will solve realworld problems involving angles of polygons. G.11 The student will use angles, arcs, chords, tangents, and secants to a) investigate, verify, and apply properties of circles; b) solve realworld problems involving properties of circles; and c) find arc lengths and areas of sectors in circles. G.12 The student, given the coordinates of the center of a circle and a point on the circle, will write the equation of the circle. ThreeDimensional Figures G.13 The student will use formulas for surface area and volume of threedimensional objects to solve realworld problems. G.14 The student will use similar geometric objects in two or threedimensions to a) compare ratios between side lengths, perimeters, areas, and volumes; b) determine how changes in one or more dimensions of an object affect area and/or volume of the object; c) determine how changes in area and/or volume of an object affect one or more dimensions of the object; and d) solve realworld problems about similar geometric objects.
7 CP Geometry Student Name: Period: Please sign the following statements and return to Mr. Noll: I have read and understand the course syllabus and the rules and procedures for Mr. Noll s CP Geometry class. Student signature: Parent signature: I have read the Turner Ashby High School Honor Code and understand there are consequences if the Honor Code is violated. Student signature: Parent signature: I understand how to properly handle the Casio CFX9850Ga PLUS graphing calculator I have been assigned for use during class and agree to pay a $50 replacement fee if my calculator is broken as a result of my negligence or if I fail to return or damage a loaner calculator. Student signature: Parent signature: General Information: Parent(s)/Guardian(s): Home Phone: Cell Phone: Work Phone: Workplace: Cell Phone: Work Phone: Workplace: **Please put an asterisk beside your preferred contact(s). address: ** provides a quick and convenient way for the teacher to communicate. Please provide an address that you check on a regular basis. Please use the back of this page to note any special concerns or comments.
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