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Geometry and Trigonometry C GEOMETRY AND TRIGONOMETRY Revised 08/06/13 C - L - CR 3 - 0 - 3 COURSE NUMBER: MAT 168 PREREQUISITE(S): MAT 101 or MAT 152 or placement CO-REQUISITE(S): None COURSE This course includes the following topics: points, lines, angles DESCRIPTIONS and angle measure; triangles; polygons; circles; geometric solids; trigonometric solution of triangles; graph of sine functions; and vectors. TEXTBOOK(S): Textbook information can be found on the Book Inn website at http://www.sccsc.edu/resources/bookstore. Cleaves and Hobbs. College Mathematics, 9th Edition, ©2014. In lieu of purchasing a physical textbook, the student may purchase a code for MyMathLab from the Book Inn or online at www.pearsonmylabandmastering.com, which will give access to the e-book. REFERENCE(S): N/A OTHER REQUIRED A Texas Instruments dual-line calculator with trigonometric MATERIALS, TOOLS, functions is required (example: TI-30X IIS). AND EQUIPMENT: METHOD OF Concepts will be taught by lecture/demonstration and by INSTRUCTION: group problem-solving. Student participation will be required. Audio-visual aids will be used when appropriate. GRADING SYSTEM: 90 - 100 = A 80 - 89 = B 70 - 79 = C 60 - 69 = D Below - 60 = F GRADE See instructor’s handout. CALCULATION METHOD: ATTENDANCE The student is responsible for punctual and regular POLICY: attendance in all classes, laboratories, clinical, practica, internships, field trips, and other required class activities. The College does not grant excused absences; therefore, students are urged to reserve their absences for emergencies. When illness or other emergencies occur, the student is responsible for notifying instructors and completing missed work if approved for late submission by instructors. Mathematics Department Attendance and Participation Policy for Lecture Classes: • Attendance and participation in class is essential to the learning of mathematics. • Students are expected to be in class, to be on time, and to stay for the entire class. • Students arriving late or leaving early will be considered absent for attendance and participation grade purposes according to guidelines set up by your instructor in their class policy sheet. • Students will be allowed to participate in class work given while present at the discretion of the instructor. • Students are responsible for any missed work. • Do not expect tutors, lab assistants and/or instructors to re-teach course content you miss. You need to have attempted the assigned materials before asking for help. Instructors maintain attendance records. However, it is the student’s responsibility to withdraw from a course. A student enrolling in and attending at least one course session remains enrolled until the student initiates a withdrawal. Withdrawal Policy: All noted in the instructor class policy sheet. Absences for Religious Holidays: Students who are absent from class in order to observe religious holidays are responsible for the content of any activities missed and for the completion of assignments occurring during the period of absence. Students who anticipate their observance of religious holidays will cause them to be absent from class and do not wish such absences to penalize their status in ____________________________________________________________________ 2 SPARTANBURG COMMUNITY COLLEGE, SPARTANBURG, SOUTH CAROLINA class should adhere to the following guidelines: 1. Observance of religious holidays resulting in three or fewer consecutive absences: Discuss the situation with the instructor and provide written notice at least one week prior to the absence(s). Develop (in writing) an instructor-approved plan which outlines the make up of activities and assignments. 2. Observances of religious holidays resulting in four or more consecutive absences: Discuss the situation with the instructor and provide the instructor with written notice within the first 10 days of the academic term. Develop an instructor-approved plan which outlines the make up of activities and assignments. ACADEMIC ACADEMIC DISHONESTY: Students are expected to uphold the CONDUCT: integrity of the College's standard of conduct, specifically in regards to academic honesty. All forms of academic dishonesty including, but not limited to, cheating on assignments/tests, plagiarism, collusion, and falsification of information will call for disciplinary action. Disciplinary action imposed may include one or more of the following: written reprimand, loss of credit for assignment/test, termination from course, and probation, suspension, or expulsion from the College. For further explanation of this and other conduct codes, please refer to the Student Handbook. CELLULAR PHONES AND PAGERS/BEEPERS: Cellular phones, pagers and beepers are not permitted to be turned on or used within the classroom. Use of these devices during classroom time will be considered a violation of the student code as it relates to “disruptive behavior.” SCC MATHEMATICS DEPARTMENT POLICY NO ELECTRONIC DEVICES WILL BE USED IN THE CLASSROOM WITHOUT PRIOR APPROVAL OF INSTRUCTOR. Mathematics Departmental Procedure For Violation of Usage of electronic Devices: First time violation – Student will cut off electronic device (cell phone without answering it) and place the device on the instructor’s desk until the end of class. The instructor will ____________________________________________________________________ 3 SPARTANBURG COMMUNITY COLLEGE, SPARTANBURG, SOUTH CAROLINA remind the student of policy and procedure. Subsequent violation – Student will cut off electronic device (cell phone without answering it) and place the electronic device on the instructor’s desk until the end of class. Student will be referred to the Chief Student Services Officer for disciplinary action and not allowed to return to class without written notification from the Chief Student Services Officer whose office is located in the Student Services Building. DAY EMERGENCY NUMBER RECORDS (864) 592-4681 EVENING EMERGENCY NUMBER EVENING SERVICES (AFTER 4:30 PM) (864)592-4830 CLASS/LAB N/A PROCEDURES: ____________________________________________________________________ 4 SPARTANBURG COMMUNITY COLLEGE, SPARTANBURG, SOUTH CAROLINA COURSE Upon satisfactory completion of this course, the COMPETENCIES & students should be able to demonstrate competency in OBJECTIVES: the General Education Outcome listed as “their ability to express themselves effectively in quantitative and qualitative terms” in the following competencies and objectives: I. Solve right triangles. II. Solve right triangles using sine, cosine, or tangent functions. 1. Solve right triangles using sine, cosine, and tangent. 2. Solve applied (word) problems of right triangles using sine, cosine, and tangent ratios. III. Solve oblique triangles using the laws of sine and cosine, and Heron’s formula. 1. Calculate the magnitude and direction of vectors in standard position. 2. Employ a calculator to find the trigonometric functions of any angle. 3. Calculate period and phase shift of the sine wave. 4. Solve oblique triangles using the law of sines. 5. Solve oblique triangles using the law of cosines. IV. Calculate various measurements of triangles and other polygons. 1. Classify triangles according to sides and angles. 2. Use properties of inscribed and circumscribed polygons to find unknown measurements. 3. Calculate the distance and coordinates of two given points. V. Demonstrate knowledge of basic terminology and notation of geometry. 1. Perform various calculations for lines and angles. 2. Calculate the perimeter and area of various polygons. 3. Find the circumference and area of circles. 4. Calculate the volume and surface area of three- dimensional objects. ____________________________________________________________________ 5 SPARTANBURG COMMUNITY COLLEGE, SPARTANBURG, SOUTH CAROLINA SYLLABUS ADDENDUM I. Linear Equations 7hrs A. Variable Notation 7-1 B. Solving Linear Equations 7-2 C. Solving Linear Equations with Fractions and Decimals 7-3 by Clearing the Denominators II. Ratio and Proportion 4hrs A. Formulas 8.1 B. Proportion 8.2 C. Direct and Joint Variation 8.3 III. Geometry 9hrs A. Lines and Angles 17.1 B. Polygons 17.2 C. Circles and Radians 17.3 D. Volume and Surface Areas 17.4 IV. Triangles 9hrs A. Special Triangle Relationships 18.1 B. Pythagorean Theorem (Solve Right Triangles) 18.2 C. Inscribed and Circumscribed Regular Polygons 18.3 and Circles D. Distance and Midpoints 18.4 V. Right – Triangle Trigonometry 4hrs A. Trigonometric Functions 19.1 B. Solving Right Triangles using the Sine, Cosine, and 19.2 Tangent Function VI. Trigonometry with Any Angle 9hrs A. Vectors 20.1 B. Trigonometric Functions of Any Angle 20.2 C. Period and Phase Shift 20.3 D. Law of Sines 20.4 E. Law of Cosines 20.5 ____________________________________________________________________ 6 SPARTANBURG COMMUNITY COLLEGE, SPARTANBURG, SOUTH CAROLINA Homework Problems for MAT 168 Geometry and Trigonometry SECTION: 7.1 Page 318 Problems 35 – 59 odd 7.2 Page 329 Problems 3, 5, 11, 16, 17, 21, 28, 30, 33 - 36, 39, 47, 51, 57, 79, 83, 89, 91, 97, 101 - 111 odd 7.3 Page 341 Problems 13, 23, 25, 37, 41- 47 odd, 66–68, 70–72 8.1 Page 381 Problems 1, 3, 10, 14, 33 - 45 odd 8.2 Page 385 Problems 1, 3, 9, 15 – 23 odd, 29 – 35 odd 8.3 Page 391 Problems 1 – 9 odd, 10, 11 – 23 odd 17.1 Page 715 Problems 1 – 7, 9, 11, 13 – 15, 17 – 47 odd 17.2 Page 725 Problems 1 – 53 odd 17.3 Page 740 Problems 1 – 29 odd, 30, 31 – 63 odd 17.4 Page 750 Problems 1, 2, 4 – 12, 15, 16, 19, 24 – 28, 30- 33 18.1 Page 774 Problems 1 – 7, 11 – 16 18.2 Page 781 Problems 1 - 28 18.3 Page 791 Problems 1 – 48 18.4 Page 795 Problems 1 – 19 odd 19.1 Page 817 Problems 1 – 61 odd 19.2 Page 828 Problems 1 – 57 odd 20.1 Page 853 Problems 1 – 29 odd 20.2 Page 858 Problems 1 – 25 odd 20.3 Page 864 Problems 21 – 27, 37, 39, 41- 47 odd 20.4 Page 871 Problems 1 – 15, 17 – 21 20.5 Page 876 Problems 1 – 12 ____________________________________________________________________ 7 SPARTANBURG COMMUNITY COLLEGE, SPARTANBURG, SOUTH CAROLINA .
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