Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
HAMILTON HIGH SCHOOL GEOMETRY SYLLABUS 2009 - 2010 Mrs. Cope TEXT BOOK Geometry, McDougal Littel, 2008. Each student will be responsible for the care of his/her book for the entire school year. A book cover is required. If the book is lost or stolen, the student is responsible for the replacement cost of the book. Another textbook will not be issued until the lost book fee has been paid. At the end of the year, students are responsible to pay a portion of the book fee for damaged books. COURSE SCOPE AND OBJECTIVES The geometry skills and concepts developed in this discipline are useful to all students. Aside from learning these skills and concepts, students will develop their ability to construct formal, logical arguments and proofs in geometric settings and problems. Upon successful completion of this course, the student will be able: 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. Students write geometric proofs, including proofs by contradiction. Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement. Students prove basic theorems involving congruence and similarity. Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. Students know and are able to use the triangle inequality theorem. Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders. Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. Students prove the Pythagorean theorem. Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. HAMILTON HIGH SCHOOL COURSE SCOPE AND OBJECTIVES continued 16.0 17.0 18.0 19.0 20.0 21.0 22.0 Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles. Students know the definitions of the basic trigonometric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships between them. For example, tan( x ) = sin( x )/cos( x ), (sin( x )) 2 + (cos( x )) 2 = 1. Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. Students know and are able to use angle and side relationships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles. Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. Students know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections. HAMILTON HIGH SCHOOL GRADING POLICY Grading scale A = 90 – 100 B = 80 – 89 C = 70 – 79 Description of grading procedures Grade breakdown: Tests Quizzes Homework Notebooks Projects D = 60 – 69 F = 0 - 59 50% (assigned after each chapter) 20% (randomly given) 10% (assigned and due daily) 10% (periodic notebook checks) 10% (assigned periodically w/ due date) Students will be assigned a variety of tasks to develop and reinforce their learning of mathematics. All assignments and due dates (if applicable) will be posted on the network. Citizenship is based on classroom behavior and attention to responsibility. Attendance and tardies have a negative impact on citizenship as well as grade. All work is to be legible and completed on time. Papers must be clearly marked with STUDENT NAME, CLASS PERIOD, DATE, and ASSIGNMENT TITLE. NO LATE ASSIGNMENTS will be accepted for a grade without prior approval. Students missing class for extra curricular activities are not excused from assignment deadlines. Make-up procedures: Students are responsible for getting all make-up work. Due to the nature of the course, missing class time is detrimental to the student’s progress. Students need to make up homework in a timely manner. Students are responsible to obtain extra help, if needed, before or after school. Extra credit is usually not assigned. However, if extra credit is available, it will be assigned to all students and no special arrangements for any student. Semester Grades Progress grades are reported at the end of each triad. Each triad grade is cumulative throughout the semester. Semester grades are computed as follows: 80% triad grade and 20% final exam. CLASSROOM BEHAVIOR EXPECTATIONS 1. Be seated and prepared when the bell rings. 2. Be respectful of teachers, students, and school property. 3. Raise hand to ask questions or to get permission to leave seat. 4. Never talk while teacher is talking or while another student is talking with permission. 5. Participate constructively and positively in class activities and assignments. 6. Be dismissed by the teacher NOT the bell. BEHAVIOR CONSEQUENCES All rules should be followed at all times. If not, the following consequences will occur: 1. Verbal warning 4. Parent, teacher and student conference 2. Conference with teacher 5. Referral to the Assistant Principal 3. Phone call or letter home.