GE4-MATHEMATICS-IN-THE-MODERN-WORLD.pdf

BACHELOR OF PUBLIC ADMINISTRATION GE 4 – Mathematics in the Modern World
Republic of the Philippines
Region XI
Commission on Higher Education
SANTO TOMAS COLLEGE OF AGRICULTURE, SCIENCES AND TECHNOLOGY
Feeder Road 4, Brgy. Tibal-Og, Santo Tomas, Davao del Norte, 8112, Philippines
COURSE SYLLABUS IN GE 4 – MATHEMATICS IN THE MODERN WORLD
SANTO TOMAS COLLEGE OF AGRICULTURE, SCIENCES AND TECHNOLOGY
VISION
The Santo Tomas College of Agriculture, Sciences and Technology (STCAST) is a premier
local institution in Southeast Asia.
MISSION
1. Infuse wholesome values (Core Values) to the teaching and non-teaching staff of
STCAST.
2. Equip graduates with knowledge, skills and attitudes towards global
competitiveness.
VALUES
EFFICIENCY, EXCELLENCE, PERSEVERANCE, HUMANENESS, INTEGRITY
INSTITUTIONAL GOALS
The Santo Tomas College of Agriculture, Sciences and Technology commits to:
1. Provide a quality, industry-needed and tailor-fit educational program;
2. Espousing an Educational and cultural excellence;
3. Instituting sufficient human and financial resources and compliant facilities;
4. Institutionalizing research culture across disciplines;
5. Establish collaboration among stakeholders and members where respect, values,
support are paramount; and
6. Implement programs for community improvement and development.
BACHELOR OF PUBLIC ADMINISTRATION
PROGRAM PHILOSOPHY
Public Administration is a degree program that prepares people for careers in public
administration and governance for the public interest. It is also a formation course for students
who want to devote themselves to public service in government and civil society organizations.
GOALS
This program aims to provide its graduates with the following:
1. Adequate knowledge and understanding of fundamentals of good governance;
2. High appreciation for the demands and challenges of public service;
3. High ethical values for public service, accountability, nationalism, and sustainability;
4. Strong sense of duty to promote and protect public interest especially for the
depressed and marginalized communities;
5. Adequate skills in management including planning, implementation, monitoring,
material and resource management for government and civil society organizations;
and
6. Adequate ability to engage in scientific research and national decision-making.

PROGRAM EDUCATIONAL OBJECTIVES (PEO)
Ref. CMOs: CMO No. 6, s.2010, CMO 4, s.2018 and CMO 20, s. 2013
POE A Develop competencies needed to become effective and service-oriented public officers and employees.
POE B Keep abreast of the developments to cope with national and global challenges affecting Philippine public administration.
POE C Develop effective oral and written skills in communication and information technology in the fields of public governance, business and related industries.
POE D Inculcate professional, social and ethical values in the conduct of public service and business for nation building.
POE E Develop ability to work effectively and independently in multi-disciplinary and multi-cultural teams with appreciation of Filipino historical and cultural heritage.
POE F Produce researches on public administration and governance in order to participate in the generation of new knowledge or in research and development projects.
POE G
Participate in community extension activities to promote cooperation in the development and provision of world-class public service and education capacity building to develop the full
role of public administration and governance.
PROGRAM OUTCOMES (PO) Performance Indicators
Upon completion of the program, the BPA students will be able to:
PO a
Demonstrate knowledge and understanding of the theory and practice of public administration and good
governance.
Explain through interactive discussion, written output and oral
presentation
PO b Respond to the imperatives and challenges of public service in the context of Philippine global.
Articulate a comprehensive and contextualize situational
analysis
PO c
Exhibit ethical values for public service, adherence to the principles of accountability, responsiveness, and
nationalism.
Apply the appropriate communication and ethical values in their
internship training
PO d
Manifest sense of duty to promote and protect the public interest, especially for the depressed and the
marginalized.
presentation
PO e
Utilize effective and efficient tools in management including planning, organizing, leading, and controlling of
human, material, and resource management for government and civil society.
presentation
PO f Engage in scientific, multidisciplinary, and policy research and decision-making initiatives. Produce a well-documented policy paper/research paper/thesis
Course Outcomes (CO) POs aligned to:
Upon completion of the course, the students will be able to:
CO 1 Discuss and argue about the nature of mathematics, what it is, how it is expressed, represented, and used. PO a, PO b
CO 2 Use different types of reasoning to justify statement and arguments made about mathematics and mathematical concepts. PO a, PO b
CO 3 Discuss the language and symbols of mathematics. PO a, PO b
CO 4 Use a variety of statistical tools to process and manage numerical data. PO a, PO b
CO 5 Appreciate the nature and uses of mathematics and utilize it in everyday life. PO a, PO b
CO 6 Affirm honesty and integrity in the application of mathematics to various human endeavor. PO a, PO b

COURSE INFORMATION
Course Title GE 4 – Mathematics in the Modern World Workload of Students
Course Description
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 resources fairly. These aspects will provide
opportunities for actually doing mathematics in a broad range of exercises that bring out the various dimension of mathematics
as a way of knowing, and the test the students’ understanding and capacity (CMO No. 20, series of 2013).
This course consists of 54 hours for a
semester that is divided into 3 hours
per week of hybrid instruction (onsite
and online) as appropriate;
assessment tasks, classroom and
online discussions, oral recitation,
and written exams. Students are
encouraged to participate in
scheduled synchronous sessions
and to complete assignments,
projects, quizzes and topic reporting.
Course Credits 3 units
Pre-requisite None
Co-requisite None
Course/ Year 1st
Year
Semester/ Year 1st
Semester
Faculty Information
Name:
E-mail Address:
Contact Information:
Office:
Consultation Schedule:
***Students are advised to refer to the schedule of Academic Consultation of the subject instructor.
LEARNING EVIDENCE: As evidence of attaining the above learning outcomes, the student must do and submit the following:
LE 1 Course Portfolio Students must create and submit a course portfolio which presents and indicates the mode of verifications of both online and
onsite classes, quizzes, examinations, oral recitations, discussions and reporting conducted on the subject throughout the
semester.
MEASUREMENT SYSTEM Learning Evidence (LE) to Assess: (LE will depend upon the requirement required of the course)
LE 1: Course Portfolio Scoring Rubrics
Highest Possible Score: 50 Points Level 4
10 points – Exemplary work at
highest level of ability
Level 3
9 points – Good work, meets all
criteria
Level 2
8 points – Adequate work, lacking in
some areas
Level 1
6 points – Unsatisfactory, work is
inadequate and of poor quality
Contents
Based on portfolio required items
All necessary contents are included
(quizzes, assignments, quizzes,
examinations, oral recitations,
discussions and reporting)
Missed one content from the
portfolio
Missed two contents from the
portfolio
Missed three contents from the
portfolio
Statements
Written statement about the
topic/lesson
Portfolio includes a well written and
thoughtful statements of the
lesson/topic
Portfolio includes a thoughtful
statement of the lesson/topic
Portfolio includes a statement of the
lesson/topic
Portfolio does not include
statement of the lesson/topic

Presentation
Neat and creative presentation
Portfolio shows ingenuity and
creativity; care was taken when
photographing work; pictures are
cropped and high quality.
Portfolio shows some imagination
and creativity; care was taken when
photographing work; pictures need
cropped and high quality.
Portfolio shows some imagination or
creativity; some care was taken
when photographing work
Portfolio is lacking creativity; poor
quality pictures were used in
portfolio
Use of time and effort
Amount of time and effort expended
on the portfolio
Exemplary effort to complete the
portfolio to best of quality; made
excellent use of time
Good effort to complete required
elements of portfolio; adequate use
of class time
Minimal effort used to create
portfolio; time was not used well
Little or no effort to create portfolio;
poor use of time
Growth
Based on the planning put into the
pieces of work as well as the growth
from the early pieces
There is excellent growth seen from
the early pieces to the final product
There is a significant amount of
growth from the early pieces to
finished product
Some growth seen between pieces
of work
Little or no growth apparent
OTHER REQUIREMENTS AND ASSESSMENT ACTIVITIES (AA)
Assessment Activity Description and Other Details
AA1 Oral Recitation Questions are being asked and aligned with the synchronous conversation to ensure that students are on the same page.
AA2 Short Quiz This is a short quiz given in the asynchronous activity aligning with synchronous discussion.
AA3 Examinations These are written examinations that are designed to test student’s understanding in every grading period.
Grading System
Article 34. For general education courses, computation of grades are as follows (based on CMO No. 30 series 2013):
a. Long Test (Examination) 40%
b. Short Test (Quizzes, Report, Oral Recitation, and Portfolio) 30%
c. Class Participation 20%
d. Project, Attendance, Assignments 10%
100%
Note: A faculty may modify the criteria of grading based on his/her best lights in coordination with the concerned Program Head.
Article 35. Every subject instructor shall submit a composite two (2) days after every end of the term to the Program Head, to closely monitor the performance and standing of the students.
Article 36. Students with failing grades are subject to the internal retention policies of a program.
Article 37. The College implements the general rule of computation of grades which are as follows:
Grading System shall be 30 based throughout the four programs.
Below is the computation:
Grade is equal to score / item multiplied by 70 plus 30. (Revised 2021)

DETAILED COURSE OUTLINE
LEARNING PLAN
Intended Learning
Outcome (ILO)
Course
Outcomes
Time
Frame
Topics Teaching and Learning Activities
(TLA)
Assessment
Task (AT)
Required Reading Learning
Evidence
Students must be able
to:
• Discuss STCAST
VMG;
• Familiarize the
students with the
course description,
objectives, outline,
requirements and
grading system;
Week 1
(3 hours)
• STCAST VMG
• Course Outline
• Course Syllabus
Getting to Know You (Introduction of
Oneself)
Interactive Discussion about the VMG to
integrate the values of a STCASTian.
Collaborative Learning on the
Performance Task
Interactive discussion on the processing
questions for every activity.
• Individual
active
participation
during group
discussion
and
presentation.
Course Syllabus
Students Handbook
• Identify patterns in
nature and
regularities;
CO 1 Week 2
(3 hours)
I – MATHEMATICS IN
OUR WORLD
1. Patterns and
Numbers in Nature
and the World
Activity
Written Activity
Analysis
Question and Answer
Abstraction
Presentation segments with embedded
interactive experiences such as question
and answer sessions
Application
Reflection Paper
• Oral
Recitation
Mathematics in the Modern
World/ Philippine Edition/ 2018
World/ CHED Curriculum
Compliant/ Sirug, Winston/
2018
World/ OBE Module/ Earnhart,
R. and Adina, E./ 2018
LE 1
• Establish ideas
about the nature of
mathematics, how it
is represented and
used;
CO 1 Week 3
(3 hours)
2. The Fibonacci
Sequence
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Appreciate the
importance of
mathematics in
one’s life;
CO 1 Week 4
(3 hours)
3. Mathematics for our
World
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Worksheet Mathematics in the Modern
2018
LE 1

• Discuss variables
and its uses;
CO 3 Week 5
(3 hours)
II – SPEAKING
MATHEMATICALLY
1. Variables
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Discuss the
language, symbols
and convention of
mathematics and
explain its nature as
a language;
CO 3 Week 6
(3 hours)
2. The Language of
Sets
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Differentiate
between a relation
and a function and
determine whether
a function is linear;
CO 3 Week 7
(3 hours)
3. The Language of
Relations and
Functions
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Define and
differentiate
inductive and
deductive
reasoning;
CO 2 Week 8
(3 hours)
III – PROBLEM
SOLVING AND
REASONING
1. Recreational
Problems Using
Mathematics
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Discuss different
types of reasoning
to justify statements
and arguments
made about
mathematics and
CO 2 Week 9
(3 hours)
2. Intuition, Proofs and
Certainty
Activity
Written Activity
Analysis
Question and Answer
Abstraction
• Oral
Participation
• Short Quiz
2018
LE 1

mathematical
concepts;
and answer sessions
Application
Reflection Paper
MIDTERM EXAMINATION
• Solve problems
involving patterns
and recreational
problems following
Polya’s four steps;
CO 2 Week 10
(3 hours)
3. Polya’s Four-Steps
in Problem Solving
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Discuss one’s
method and
approaches for
proving and solving
problems;
CO 2 Week 11
(3 hours)
4. Problem Solving
Strategies
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Established one’s
method and
approaches for
proving and solving
problems;
CO 2 Week 12
(3 hours)
5. Mathematical
Problems Involving
Patterns
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Solve mathematical
games and puzzles
using mathematical
concepts;
CO 2 Week 13
(3 hours)
6. Recreational
Problems Using
Mathematics
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
Short Quiz
2018
LE 1

• Use variety of
statistical tools to
process and
manage numerical
data;
CO 4 Week 14
(3 hours)
IV – DATA
MANAGEMENT
1. Introduction to Data
Management
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Discuss the
importance of
skewness in
determining
normality of the
distribution;
CO 4 Week 15
(3 hours)
2. Measures of Central
Tendency
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Discuss the
measures of
variability (range,
quartile deviation,
variance and
standard deviation)
of a statistical data;
and solve the
measure of
variability of a given
data;
CO 4 Week 16
(3 hours)
2. Measures of
Viability
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Understand and
solve problem
involving normal
and standard
normal distribution;
CO 5 Week 17
(3 hours)
3. Probabilities and
Normal Distribution
Activity
Written Activity
Analysis
Question and Answer
Abstraction
and answer sessions
Application
Reflection Paper
• Oral
Participation
• Short Quiz
2018
LE 1
• Discuss the
importance of
skewness in
determining
normality of the
distribution.
CO 6 Week 18
(3 hours)
4. Measures of
Skewness
Activity
Written Activity
Analysis
Question and Answer
Abstraction
• Oral
Participation
• Short Quiz
2018
LE 1

and answer sessions
Application
Reflection Paper
FINAL EXAMINATION
COMMUNITY EXTENSION
At the end of this course, the students are expected to provide one-day service learning the practical application of governmental functions in their
respective barangay.
BASIC REFERENCES
1. Mathematics in the Modern World/ Philippine Edition/ 2018
2. Mathematics in the Modern World/ CHED Curriculum Compliant/ Sirug, Winston/ 2018
3. Mathematics in the Modern World/ OBE Module/ Earnhart, R. and Adina, E./ 2018
SUGGESTED READINGS
1. Basic Quantitative Methods for Business: An Introduction to Operations Research/ Management Science / Sirug, Winston / 2015
2. Inventory management and Control/Banaag, Francis / 2017
CLASSROOM POLICIES
1. An online classroom is still a classroom.
2. Success in this course is dependent on the students’ active participation and engagement throughout the course. As such, students are required to complete all
deliverables and actively participate in online class discussions. If a student is unable to attend, participate in, or complete an assignment on time, it is the student’s
responsibility to inform the instructor.
3. Attendance: Students are expected to log on at least twice a week on different days to complete assignments, assessment and other weekly deliverables as directed
by the instructor and outlined in the syllabus.
4. Academic Honesty: Plagiarism and Violating the Rules of an Assignment: The program expects that students abide by the highest standards of intellectual honesty
in all academic work. Furthermore, the program assumes that all students do their own work and credit all work or thought by others.
5. Avoid using acronyms such as LOL (laugh out loud) and TTYL (talk to you later) since not all users are as familiar with these abbreviations. Spell things out to avoid
confusion and misunderstandings.
6. Courtesy goes a long way in any setting, including online school classrooms. Online courtesy would mean:
- Students should use their real names.
- Know how to raise “virtual hands” and wait to be recognized when responding to a question or comment.
- Do not forget to say “please” and “thank you.”
- Always address the teacher and other virtual school students in a respectful manner, even when disagreeing.
- Avoid using all uppercase letters; this is often considered the equivalent of shouting.

- Cameras should always be turned on and make sure the microphone is turned off.
7. Before an online session begins, eliminate environmental distractions that may divert your attention away from the class. This includes finding a conducive and
comfortable place in the house, minimizing background noise by turning off the TV and radio, turning off cell phones. (No multitasking during class!)
8. It is important that virtual school students be prepared before class! They should download any necessary software and connect and test devices like microphones
or video cameras before the lesson begins. Students should also exit other applications on their computers prior to launching the classroom software.
9. Pay close attention to the classroom discussion and activities. You may take notes on the information presented and ask relevant questions to clarify the material
covered or assignments given. Do not join sideline chats with classmates when the teacher is speaking.
10. If you’re confused or stuck on an assignment, your first instinct may be to immediately ask a question. But before you ask, take the time to try to figure it out on your
own.
11. Adhere to the file format when submitting your online work.
Prepared by: Checked by:
DANIEL G. HILARIO, DPA
Recommending Approval:
HAZEL C. MONTEPIO, EdD
Approved by:
DIOBEIN C. FLORES, EdD., DPA
Name of Instructor Program Head Vice President for Academic Affairs College President
___________________________________________________________________________________________________________________________________________________
Student’s Acknowledgement
I have received and read the course syllabus in (Subject Code). I understand that I must comply with the requirements of the course and the expectations of
me as a student in the said course during the (Semester) (School Year) as these have been discussed also by our instructor. I am fully aware of the
consequence of non-compliance with the above-mentioned requirements.
Student’s Signature over Printed Name

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