Outcome – Based Education (OBE) Course Design / Syllabus in GE 103 (MATHEMATICS IN THE MODERN WORLD) IV. PROGRAM OBJECTIVES (CMO NO. 62, SERIES OF 2017) Graduates of the BSHM degree program is expected to: 1. Produce food products and services complying with enterprise standards. 2. Apply management skills in F & B service and operations. 3. Perform and provide full guest cycle services for front office 4. Perform and maintain various housekeeping services for guest and facility operations 5. Plan and implement a risk management program to provide a safe and secure workplace 6. Provide food & beverage service and manage the operation seamlessly based on industry standards. V. PRELIMINARIES Course Number: Course Title: Course Credit: Course Description: GE 3 MATHEMATICS IN THE MODERN WORLD 3 UNITS This course deals with nature of mathematics, appreciation of its practical, intellectual, and aesthetic dimension, and application of mathematical tools in daily life. The course begins with the introduction to the nature of mathematics as an exploration of patterns (in nature and the environment) and as application and deductive reasoning. By exploring these topics, students are encourage to go beyond the typical understanding of mathematics as merely a set of formula but as a source of aesthetics in patterns of nature a rich language in itself (and of science) governed by logic and reasoning. The course then proceeds to survey ways in which mathematics provides a tool for understanding and dealing with various aspects of present-day living, such as managing personal finances, making social choices, appreciating geometric designs, understanding codes used in data transmission and security, and dividing limited resource fairly. These aspects will provide opportunities for knowing, and test the student’s understanding and capacity. LEARNING OUTCOMES: At the end of the semester, the students must have: KNOWLEDGE 1. Discuss and argue about the nature of mathematics, what it is, how it is expressed, presented and used; 2. Use different types of reasoning to justify statements and arguments made about mathematics and mathematical concepts; 3. Discuss the language and symbols of mathematics; SKILLS 4. Use a variety of statistical tools to process and manage numerical data. 5. Analyze codes and coding schemes used for identification, privacy and security purposes; 6. Use mathematics in other areas such as finance, voting, health and medicine, business, environment, arts and design and recreation; VALUES 1. Appreciate the nature and uses of mathematics in everyday life; and 2. Affirm honesty and integrity in the application of mathematics to various human endeavors. VI. MODULE OUTLINE VII. COURSE DESIGN MATRIX. DESIRED LEANING OUTCOMES (DLO) TOPIC At the end of the discussion, the students must have: Identified, described, explained and internalized Course outcomes, and the mode of deliveries for the course Orientation Mode of Deliveries Course Outcomes Grading System Course Requirements At the end of the unit the learners must have: 1. identified the patterns in nature and regularities in the world. 2. articulated the importance of mathematics in one’s life. 3. defined the meanings of (Midterm) UNIT I.THE NATURE OF MATHEMATICS Mathematics in our world Patterns and numbers in nature and the world the snowflake and honeycomb, tigers’ stripes and hyenas’ spots, the sunflower CONTENT DELIVERY STUDENT LEARNING ACTIVITIES Design Thinking Activity Multimedia/PowerPo int Presentation TECHNOLOGY TOOLS ASSESMENT OF LEARNING TIME FRAME One week The learners define the meanings of different College Learning Continuity Plan Course Module Auffman, Richard N., Lockwood, Joanne S. , Nation ,Richad D., Clegg, , Daniel K. Mathematics in the Modern World The learners identify the patterns in nature and regularities in the world. The learners articulate the importance of Mathematics in one’s life. REFERENCES 9 hours Auffman, Richard N., Barker, Vernon C., Nation, R.D, College Algebra Tolentino, R.Q ,Fainsan different mathematical patterns applied to our daily lives. and the snails shell, flower petals and the weather. Patterns in numbers (arithmetic sequence, geometric sequence and Fibonacci sequence) At the end of the unit the UNIT II. MATHEMATICAL learners must have: LANGUAGE AND SYMBOLS 1. discussed the language, Characteristics of symbols, and mathematical conventions of language, precise, mathematics concise powerful. 2. explained the The language of sets: nature of Set, subset, ordered mathematics as a pair and Cartesian language product. 3. performed Operation on sets operations on Relations, arrow mathematical diagram of elation expressions Functions and correctly. equality of functions. 4. appreciated mathematics as a useful language At the end of the unit the (FINALS) learners must have: UNIT III. PROBLEM 1. used different SOLVING types of reasoning to Inductive and justify statements deductive reasoning and arguments Polya’s 4-steps in mathematical patterns applied to our daily lives. D.S. Solved Problems and Worksheets,2015 The learners discuss the language, symbols, and conventions of mathematics. Auffman, Richard N., Lockwood, Joanne S. , Nation ,Richad D., Clegg, , Daniel K. Mathematics in the Modern World The learners explain the nature of Mathematics as a language. 15 hours Arellano, E.L. et.al Fundamentals of Mathematics 1, 2010 The learners perform operations on mathematical operations correctly. The learners appreciate mathematics as a useful language. The learners use different types of reasoning to justify statements and arguments made about mathematics Auffman, Richard N., Lockwood, Joanne S. , Nation ,Richad D., Clegg, , Daniel K. Mathematics in 9 hours the Modern World made about problem solving mathematics and Problem solving mathematical strategies concepts. Mathematical 2. solved problems problems involving involving patterns patterns and recreational Recreational problems problems using following Polya’s mathematics four steps. 3. organized one’s methods and approaches for proving and solving problems At the end of the unit the learners must have: 1. used a variety of statistical tools to process and manage numerical data 2. used the methods of linear regression and correlations to predict the value of a variable given in certain conditions 3. advocated the use of statistical data in making important UNIT IV. STATISTICS Gathering and Organizing Data, Representing data using graphs and charts, interpreting organize data Measures of Central tendency: mean, median and mode. Measures of dispersion: range standard deviation and variance Percentiles, quartiles and deciles. and mathematical concepts. The learners solve problems involving patterns and recreational problems following Polya’s four steps. The learners organize one’s methods and approaches for proving and solving problems. The learners use variety of statistical tools to process and manage numerical data. Auffman, Richard N., Lockwood, Joanne S. , Nation ,Richad D., Clegg, , Daniel K. Mathematics in the Modern World The learners use methods of linear regression and correlations to predict the value of a variable given in certain conditions. Sirug, Winston S. Basic Statistics and Probabilty. Altares, P.S. et.al Elementary Statistics: A Modern Approach The learners advocate the use of statistical data in making important decisions. 12 hours decisions VIII. SUGGESTED READINGS: https://www.slideshare.net/donnaruthtalo/mathematics-in-the-modern-world-121062948 https://www.youtube.com/watch?v=Uz4wjNsMKP8 https://www.youtube.com/watch?v=tyDKR4FG3Yw https://www.youtube.com/watch?v=Uz0MtFlLD-k https://www.youtube.com/watch?v=Bx1ipNaKz4Y https://www.khanacademy.org/math/statistics-probability https://statistics.laerd.com/statistical-guides/measures-central-tendency-mean-modemedian.php#:~:text=A%20measure%20of%20central%20tendency,also%20classed%20as%20summary%20statistics.