AIMS COMMUNITY COLLEGE, GREELEY CAMPUS MAT 075 – Contextual Math for the Trades - Section G11 (CRN #21539) Fall Semester 2012 INSTRUCTOR: Jon Schiltz OFFICE LOCATION: Horizon Hall, Room HH115 WORK PHONE: 970-339-6414 or 1-800-301-5388- Ext. 6414 HOME PHONE: 970-339-4023 EMAIL: jon.schiltz@aims.edu OFFICE HOURS: Please contact me to set up a conference time. COURSE SECTION AND CREDITS: Section G11 (4 credits) COURSE DATES AND TIMES: 8/20/12 – 12/5/12 MW 5:10 pm – 6:50 pm COURSE LOCATION: Horizon Hall, Room HH124 REQUIRED TEXTBOOK/MATERIALS: Mathematics for the Trades by Robert A. Carman and Hal M. Saunders – 9th Edition; Prentice Hall (ISBN-13: 978-0-13-609708-2 ISBN-10: 0-13-609708-1) A basic scientific calculator will be used in this class. Additional calculator information is given on Page 4. COURSE PREREQUISITE: Assessment of AR 24 or higher, or MAT 045 with a grade of “C” or better. Students are expected to know the addition, subtraction and multiplication tables. COURSE DESCRIPTION: COURSE DESCRIPTION: MAT 075 (Contextual Math for the Trades) provides the student with the practical mathematics skills needed in a wide variety of trade and technical areas. The course begins with a quick review of whole numbers, fractions and decimals. Student will learn the terms used and how to perform basic mathematical operations involving these numbers. Emphasis will be on calculator usage with applications focused on the trades and technical areas. Students then move through measurement concepts to basic algebra and formula rearrangement techniques. Students are also provided with a broad background in plane geometry, solid figures, and triangle trigonometry. Finally, the advanced algebra concepts of solving systems of equations and quadratic equations are studied. All of the topics in this course are presented using a direct, practical approach that emphasizes careful, complete explanations and actual on-the-job applications. This approach helps the student understand how and why mathematics is such a valuable and important tool in the trade and technical areas. 1 MAT 075 MW Syllabus Fall 2012 COURSE OBJECTIVES: Upon completion of MAT 075 students will be able to: calculate problems involving whole numbers, perform mathematical operations using fractions, solve practical problems involving decimal numbers, calculate the average of a set of numbers, solve problems involving ratios and proportions, convert percents to decimal numbers and fractions, determine the precision and accuracy of measurement numbers, convert units within the US and metric systems using unit fractions, convert between the US and metric system units using unit fractions, determine the value of a mathematical expression using signed numbers, simplify expressions with exponents, calculate the square root of a number, solve formula-based equations, solve linear equations in one unknown, simplify algebraic expressions, describe how to convert decimal numbers to scientific notation, and from scientific notation to decimal numbers, demonstrate how to use the calculator to perform mathematical operations on numbers expressed in scientific notation, describe the geometric relationships involving intersecting lines and triangles, identify polygons, calculate the unknown side of a right triangle using the Pythagorean Theorem, calculate the area and perimeter of common geometric figures, identify solid figures, calculate the surface area and volume of cylinders and spheres, determine the values of cosine, sine, and tangent trigonometric ratios, calculate an unknown angle in a right triangle given its sides, calculate an unknown side in a right triangle given its angles, solve oblique triangles using the law of sines and law of cosines, solve systems of two linear equations in two variables using the substitution and elimination methods, calculate the unknown value of a quadratic equation, read and interpret data in chart form, and calculate the central tendency of a given set of data. 2 MAT 075 MW Syllabus Fall 2012 COURSE GRADE: The final grade in MAT 075 will be determined by the following: Test/Quizzes Homework Final Exam 70% 15% 15% COURSE GRADING SCALE: 93 – 100% 84 – 92% 78 – 83% 70 – 77% 0 – 69% A B C D F WITHDRAW “W” GRADE: This indicates a student’s withdrawal after the point marking 15% of the course (the drop/refund deadline) and before the point marking 75% of the course. After the 75% point, students may no longer choose to withdraw from a course, and faculty will either assign the grade earned or complete an “Incomplete” agreement with the student EXAMS: There will be six (6) chapter exams plus a final exam given during the semester. Exams are to be taken on the day they are scheduled. Missed Exams: If a student is absent on the day of the exam, a make-up exam for that absence may be arranged with the instructor. All make-up exams will be scheduled to be taken in the Testing Center on the second floor of the College Center, Room 230. A student ID must be presented to the proctor prior to taking the exam. The make-up exams for absences must be taken within one week of the original exam date or a score of zero will be recorded. Exams may be taken early for planned absences. Please contact your instructor to arrange for an early exam. Final Exam: The final exam will be comprehensive and must be taken during the scheduled time. There will be no make-up final exams. Failed Exams: There will be no provision for retaking failed exams. However, the grade received for the Final Exam may be applied as a replacement for the lowest Chapter Exam grade. For example, if a student received a 70% as the lowest Chapter Exam score, and a Final Exam grade of 85%, the student will have the 70% score replaced by the 85% score. However, this will not apply to any Chapter Exam score less than 40%. For scores below 40%, the grade replacement score will be the average of the lowest Chapter Exam score and the Final Exam score. HOMEWORK EXERCISES: In order to assist students in learning the key text concepts discussed in each class, there will be homework assignments for each session covered. Each homework assignment should be turned in at the next class session. In no case will homework be accepted beyond one week of the assigned date, or after the Chapter Exam for that section has been given. If a student knows of a pending absence from a class, homework for the section(s) missed may be submitted prior to the absence. In order to receive full credit for the problems assigned, all work, where required, must be neatly shown. If only answers are shown, no credit will be given unless the problems are such that work is unnecessary. No credit will be given for working problems not assigned. 3 MAT 075 MW Syllabus Fall 2012 CALCULATORS: This class will involve extensive use of scientific calculators. These calculators have keys such as “𝑎 𝑏⁄𝑐 ”, which is used for fractions, the trigonometry keys “TAN”, “COS”, “SIN”, and the special math operation keys “LOG”, “EE”, and “yx”. The needed instruction and practice problems to help students become familiar with these keys will be provided. Suggested inexpensive calculators are the TI-30Xa or TI-30X IIS by Texas Instruments. Expensive graphing calculators are not required for this class. Students should contact their instruction with any further questions concerning calculators to use for this course. IMPORTANT DATES: The following are important dates for the 2012 Fall Semester schedule: September 3 September 5 October 8 – 12 November 7 November 21 – 23 December 5 Labor Day holiday – College Closed Add/drop deadline for full-term classe Mid-term week Withdrawal (W) request deadline for full-term classes Thanksgiving holiday – College Closed Final Exam STUDENT CONDUCT (Aims Policy Manual #5-601) (visit www.aims.edu for additional information about this policy): Students are expected to practice academic honesty. Each student is responsible for contributing to a positive learning environment in classroom situations. Because respect for the learning process is critical, no behavior that disrupts another student’s ability to learn will be tolerated. Constant talking during class presentations, the use of inappropriate language, or racist comments will not be tolerated. CELL PHONE/iPod® POLICY: Cell phones interfere with the learning process, and students bringing them to class will be responsible for making sure the ringer or beeper is off unless expecting a call due to an emergency situation. In that case, please inform the instructor in order not to disrupt the class unexpectedly. Checking messages, text messaging or listening to iPods® during class sessions or exams will not be allowed. Cell phones must be kept in backpacks or purses. CHILDREN ON CAMPUS (Aims Policy Manual #3-600) (visit www.aims.edu for additional information about this policy): All children on campus under the age of sixteen (16) must be under the direct supervision of a parent or legal guardian unless they are involved in a specific College-approved and supervised activity. In order to provide students with a professional and positive learning experience with minimal distractions, NO children will be allowed in the classroom. TUTORING: Drop-in, individual, and guided study group tutoring is available to currently enrolled Aims students. For available subjects for tutoring, hours, and additional questions, please call 339-6541 for Greeley, 667-4611 ext. 3304 for Loveland, and 303-718-5905 for Fort Lupton services. Also, please visit our website at http://www.aims.edu/student/learning-commons/tsi/ for current information and drop-in tutoring hours. 4 MAT 075 MW Syllabus Fall 2012 Online tutoring assistance is available for writing and math by request only during our scheduled drop-in hours. Students will need to email tutoringrequest@aims.edu to request an online tutoring session (24-hour advance notice is required for online tutoring sessions.) The Computer Learning Lab staff provides assistance in various disciplines, including CIS, Business Technology, Graphics Technology and various programming languages. There are a large number of computers loaded with current software available for student use. Please visit the website for additional information: http://www.aims.edu/student/learning-commons/complab/. ACCOMMODATIONS FOR STUDENTS WITH DISABILITIES: Any student who feels s/he may need an accommodation based on the impact of a disability should contact Disability Access Services (DAS) privately to discuss her/his specific needs. Please be aware that before accommodations can be allowed in class they must be approved through the DAS Office. Students should call 970-339-6251 to set up an appointment, or email disabilities@aims.edu with any questions. DAS is located in the College Center. MAT 075 Section G11 Assignment Schedule – Fall Semester 2012 Date Section and Exercise Set Assignment (M)-8/20 1-1 Course Introduction & Whole Numbers (pp. 14-17): A17, B4, C1, 20, D10, 17 1-2 Subtraction of Whole Numbers (pp. 25-26): B27, C4, 8(c), 9, 12, 17 1-3 Multiplication of Whole Numbers (pp. 36-37): B3, C2, 3, 8, 9, 18 1-4 Division of Whole Numbers (pp. 46-47); B6, C5, D2, 5, 14, E3 1-5 Order of Operations (pg. 52): A13, 16, 19, 23, 38, 40 2-1 Working with Fractions (pp. 79-80): A2, 8, B3, 6, C1, 4, D1, E1 2-2 Multiplication of Fractions (pp. 85-86): A3, 14, 19, B4, 15, C4, 25 2-3 Division of Fractions (pp. 92-93): A1, 2, 9, 20, B1, 8, 15 2-4 Addition and Subtraction of Fractions (pp. 109-111): A2, 11, 26, 35, B8, C4, 13, 20 3-1 Addition and Subtraction of Decimals (pp. 131-133): A5, 14, B9, 16, 21, C1, 2, 5, 12, 17 3-2 Multiplication and Division of Decimals (pp. 147-149): A7, 12, 15, B1, 6, 9, C1, 2, 9, 18, D6 3-3 Decimal Fractions (pp. 159-161): A3, 6, 21, 22, 27, B2, 5, C4, 7, 8 (W)-8/22 (M)-8/27 (W)-8/29 EXAM 1 REVIEW (Chapters 1,2,&3) EXAM 1 (Chapters 1,2,&3) (M)-9/3 Labor Day Holiday – College closed (W)-9/5 4-1 Ratio and Proportion (pp. 188-191): A1(a), 1(c), 1(h), A2(a), 2(c), 2(d), A3(a), 3(b), 3(c), B2, 7, 12, C1, 11, 12 4-2 Ratio and Proportion Applications (pp. 202-205): A1(a), 1(b), A2(a), 2(b), A3(a), 3(b), 3(c), A4(a), 4(b), 4(c), B5, 6, 25, 26, 29 5 MAT 075 MW Syllabus Fall 2012 (M)-9/10 (W)-9/12 (M)-9/17 (W)-9/19 (M)-9/24 4-3 Introduction to Percent (pg. 214): A1, 2, 5, 6, 13, B2, 5, 6, 9, 24, C1, 4, 6, 11, 14 4-4 Percent Problems (pg. 222-224): A1, 2, 3, 10, 15, 20, B1, 2, 9, 12, 17, C6, 7, 18, 17 4-5 Percent Applications (pp. 245-247): 1 ,2 ,3 ,8 ,13 ,18 ,19 ,20 ,21 ,40 5-1 Working with Measurement Numbers (pp. 275-276): A1, 2, 3, 8, B3, 6, 7, C2, 9, D1(a), 1(f), 1(h), 2(a), 2(f), 2(g), 3(a), E1, 4, 5, 10 5-2 English Units and Unit Conversion (pp. 290-292): A1, 2, 3, 4, 9, 14, 15, 21, B1, 3, 4, 5, 8, C3, 12 5-3 Metric Units (pp. 310-311): C2, 5, 8, 9, 10, 13, 14, D!, 2, 3, 6, 11, 12, 16, 17 5-4 Direct Measurements (pp. 333-335): A1(a), 1(e), 1(f), A2(a), 2(c), 2(g), B1, 2, 3, 4, 13, 14, 15 6-1 Addition of Signed Numbers (pp. 355-357): A1, 2, 3, 10, 12, 15, B4, C1, D3, 6, 13, 18, 23, 34, 35, 38, 47 Exam 2 Review (Chapters 4&5) Exam 2 (Chapters 4&5) (W)-9/26 (M)-10/1 (W)-10/3 6-2 Subtraction of Signed Numbers (pp. 361-362): A1, 4, 5, 8, 13, 16, 17, 24, 27, 34, 37, 42, 51, B1, 2 6-3 Mult. and Div. of Signed Numbers (pg. 367): A1, 4, 5, 8, 11, 14, 37, 40, 41, B1, 2, 7, 10, 12, C1 6-4 Exponents and Square Roots (pg. 377): A1, 2, 3, 14, 16, 17, 18, 25, 34, 37, 40, B1, 14, 29, 32, 35 7-1 Algebraic Language and Formulas (pp. 396-398): A1, 4, B1, 4, 7, C2, 3, 6, 7, D4, 5, 6, E1, 14 Exam 3 Review (Chapter 6) Exam 3 (Chapter 6) (M)-10/8 (W)-10/10 (M)-10/15 (W)-10/17 7-2 Add/Subtract Algebraic Expressions (pp. 408-409): A1, 4, 7, 8, 9, 12, 15, 16, B1, 4, 5, 10, 15, 18, 21 7-3 Solving Simple Equations (pp. 418-420): A1, 2, 3, 4, 7, 10, 11, 12, 13, 14, 17, 18, 19, B4, 13 7-4 Solving Two-Step Equations (pp. 427-428): A1, 2, 3, 4, 7, 12, 13, 18, 21, 24, 29, 32 7-5 Solving More Equations/Formulas (pt.1) (pp. 440-442): A1, 2, 3, 4, 5, 6, 7, 12, B1, 4, 7, C8 7-5 Solving More Equations/Formulas (pt.2) (pp. 440-441): A8, 11, 14, 15, 16, 21, 22, 23, 24, B2, 6, C5a 7-6 Solving Word Problems (pp. 455-457): A1, 3, 4, B1, 2, 3, 6, 10, 11, 13 7-7 Mult. and Div. Algebraic Equations (pp. 463-464): A1, 2, 3, 5, 12, 17, 20, 23, 27, B1, 3, 5, 8, 15, 17 7-8 Scientific Notation (pp. 471-472): A1, 4, 6, 7, 15, 24, B1, 4, 5, 8, C3, 6, 19, 20, D6 6 MAT 075 MW Syllabus Fall 2012 (M)-10/22 Exam 4 Review (Chapter 7) Exam 4 (Chapter 7) (W)-10/24 (M)-10/29 (W)-10/31 (M)-11/5 (W)-11/7 8-1 Angle Measurement (pp. 496-499): A1(a), 1(b), 1(c), 4(b), B1(a), 1(c), 1(f), 2(a), 2(e), 3(a), C7, 13 8-2 Area and Perimeter of Polygons (pp. 512-514): A1, 2, 6, 12, B1, 2, 3, 11, C2, 3, 14, 17 8-3 Triangles, Hexagons, & Other Polygons (pp. 533-536): A1, 3, 4, 5, 8, B1, 2, 3, 4, 13, C6, 9 8-4 Circles (pp. 546-549): A1, 2, B1, 4, 5, 9, C1, 5, 6, 13, 18, 24 9-1 Prisms (pp. 569-572): A1, 4, 5, B1, 2, C2, 3, D3, 19, 21 9-2 Pyramids and Frustums of Pyramids (pp. 580-581): A1, 3, 5, 6, B1, 2, 5, C6 9-3 Cylinders and Spheres (pp. 587-589): A1, 4, B1, 3, C1, 2, 10, 11, 15 9-4 Cones and Frustums of Cones (pp. 595-596): A1, 2, B1, 2, 4, C1, D1, 8 Exam 5 Review (Chapters 8&9) Exam 5 (Chapters 8&9 (M)-11/12 (W)-11/14 (M)-11/19 10-1 Angles and Triangles (pp. 622-625): A1, 2, 3, B2, 3, 11, 15, 17, 26, C1, 2, 10, 11, 12, D12 10-2 Trigonometric Ratios (pt.1) (pp. 634-635): A1, 2, 3, B1, 2, 3, 8, 9, 10, 13, C1, 2, 3, 10, 13 10-2 Trigonometric Ratios (pt.2) (pp. 634-635): A4, 5, 6, B4, 5, 6, 11, 12, 14, C4, 5, 6, 9, 14, 15 10-3 Solving Right Triangles (pt.1) (pp. 644-647): A1, 2, 3, 4, B1, 2, 3, D3, 10, 17 10-3 Solving Right Triangles (pt.2) (pp. 644-646): A5, 6, 7, 8, B5, 8, C1, D1, 8, 10 10-4 Oblique Triangles (pt.1) (pp. 659-660): A1, 5, 8, 11, B4, 5 (W)-11/21 Thanksgiving Holiday – College closed (R)-11/22 Thanksgiving Holiday – College closed (F)-11/23 Thanksgiving Holiday – College closed (M)-11/26 11-1 Systems of Equations (pp. 693-694): A1, 3, 4, 6, B1, 2, 5, 6, 11, C1 11-2 Quadratic Equations (pp. 708-709): A7, 8, B3, 4, 7, 12, 15, 16, C2, 7 12-1 Reading and Constructing Graphs (pp. 733-742): A1(all parts), 4(all), 6(all), 9(all), B8, 13 12-2 Measure of Central Tendency (pp. 749-750): A1, 4, 8, C3 (W)-11/29 (M)-12/3 Exam 6 Review (Chapters 10,11,&12) Exam 6 (Chapters 10,11, &12) (W)-12/5 Final Exam (5:10 pm-7:00 pm) (This exam covers Chapters 1-12. One page of notes and a scientific calculator may be used. These notes are to be attached to the completed exam.) 7 MAT 075 MW Syllabus Fall 2012 Note: The instructor reserves the right to adjust these dates and topics as necessary to meet the needs of the class. Regular attendance is necessary to be aware of any changes. Being absent from class does not excuse the student from knowing about any changes made to the schedule or assignments. 8 MAT 075 MW Syllabus Fall 2012