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COLLEGE OF MICRONESIA - FSM COURSE OUTLINE COVER PAGE Technical Math I MS 051 Course Title Department and Number Course Description Basic algebra, geometry, and trigonometry as applied to life skill problems (carpentry, construction, etc.). This course is intended not only to increase the student's ability to solve complex problems, but also to sharpen his/her ability to conduct mental calculations and approximations with either a vocational goal in mind or to assist the student develop skills for passing the COM-FSM entrance test. A variety of instructional styles will be incorporated: lecture, group work, activity-based labs, and computer aided instruction. Course prepared by: Math/Science Division Lecture Laboratory Workshop Hours per Week 2 3 State: National Campus No. of Weeks x x 16 16 x Total Hours x x 48/32 48/48 2 1 x Total Semester Credits Purpose of Course: Semester Credits Degree Requirement Degree Elective Certificate/Vocational Remedial Other Prerequisite Courses(s): by placement or recommendation of instructor/advisor Date Approved by Committee: 6/15/99 Date Approved by President: 6/21/99 3 A. General Objective: This course. is intended not only to increase the student's ability to solve complex problems, but also to sharpen his/her ability to conduct mental calculations and approximations with either a vocational goal in mind or to assist the student develop skills for passing the COM-FSM entrance test. Objectives: I The student will demonstrate mathematical problem solving; 2. The student will model real-world situations using mathematics; 3. The student will demonstrate mathematical reasoning skills; 4 The student will be able to read, write, listen to, and speak mathematics; 5 The student will use appropriate technology to show his/her mathematical thinking and understanding and to solve mathematical problems and to judge the reasonableness of heir results. Course Topics: A. General Mathematics I Applied word problems involving whole numbers, fractions, decimals, and percents 2 Averages 3. interpretation and design of graphs 4. Mental calculations involving decimals, fractions, and whole numbers. 5. Approximating solutions to fractional, decimal, or whole number operations B. Measurement 1. Precision, accuracy, significant digits 2, English and metric units 3. Unit conversions 4. Steel rules, calipers, and micrometers 5. Linear interpolation 6. Meter reading 7. Approximation of measurement calculations C. Fundamentals of Algebra 1. 2. 3. 4. 5. ;Algebraic expressions and formulas Signed numbers Basic algebraic operations Solutions of equations Ratio and proportion D. Fundamentals of Geometry 1. Basic geometric figures 2. Angular measure (degree, radian, gradient) 3. Triangles/Pythagorean Theorem 4. Similar figures 5 Perimeter 6 Circles 7 Areas Volumes 9. Geometric measurements and approximations E. Fundamentals of Trigonometry 1. 2. Basic concepts Solution of right triangles Applications to carpentry/construction problems Approximations and Measurement of Triangles. 4t Practical application examples from carpentry and construction are presented throughout the course to illustrate actual on-the-job uses of the concepts taught. Methods of Instruction: The instructor, in addition to lecture, will: I . incorporate appropriate levels of technology (computer, calculator, etc.). 2. foster interactive learning through student writing, reading, speaking, and collaborative activities so that students can learn to work effectively in groups and communicate both orally and in writing. 3. actively involve students in meaningful mathematics problems that build upon their experiences and build connections with other disciplines that are relevant to the students. 4. model the use of' multiple approaches: numerical, graphical, symbolic, and verbal, to help students learn a variety of techniques for solving problems. 5. provide learning activities, including projects, that promote independent thinking and develop student confidence in their ability to access and use mathematics and other technical information independently. Required Textbooks: TBA Required Materials: The following is a minimum. Additional materials may also be used: 1. a calculator with four basic arithmetic operations, square root, and trigonometric functions; 2. a computer tutorial that may accompany the text. Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus, American Mathematical Association of Two-Year Colleges (AMATYC), 1995. Mathematics for the Trades by Robert Carman and Hal Saunders Elementary Technical Mathematics by Dale Ewen and C. Robert Nelson practical Problems in Mathematics for Drafting and CAD by John C. Larkin Evaluation: To advance to the next level of mathematics, the student must demonstrate proficiency to at least the "C" level. The student will be evaluated in a variety of ways including: homework, classwork, work in small groups, projects, quizzes, a midterm test and a comprehensive final test. Grades will be assigned according to the following scale: Cumulative Percentage Corresponding Grade 90-100 80-89 70-79 60-69 below 60 A B C D F Credit by Examination: None. Attendance Policy: As presented in the COM-FSM catalogue. a