GE 4_Mathematics in the Modern World Syllabus.pdf

It is a Syllabus In general mathematics 4 . Mathematics in the modern world

1. Republic of the Philippines
DR. EMILIO B. ESPINOSA, SR. MEMORIAL STATE COLLEGE
OF AGRICULTURE AND TECHNOLOGY
(Masbate State College)
www.debesmscat.edu.ph
Mandaon, Masbate
COLLEGE OF INDUSTRIAL TECHNOLOGY
VISION We are a major catalyst for socio-economic transformation and development in the Province of Masbate.
MISSION
 To provide quality, accessible, data-driven, and internationalized state education;
 To produce academically-prepared, skills-equipped, values-laden, and leadership-honed graduates that are lifelong learners; and
 To sustain partnerships with multi-sectoral local and international institutions for academic, research, production, and community-based endeavors.
QUALITY POLICY
DEBESMSCAT as an educational institution is committed to sustain excellent service delivery for clientele satisfaction by adhering to quality standards, compliance to
legal requirements and continual improvement thereby producing transformed communities.
BSIT GOALS
1. Produce competent graduates in the Technology courses.
2. Endeavor in the development of knowledge, skills and values for effective employment.
3. Create a state-of-the-art researches and developmental studies.
4. Undertake extension outreach program to train clienteles.
5. Engage in the production of techno-works and services for an improved quality life.
BSIT
Objectives
1. Produce students to become technologically professional in their own field of specialization.
2. Enhance student’s capability based on acquired knowledge, skills and values.
3. Encourage students to conduct state-of-the-art researches and developmental studies.
4. Extend services to the community through varied livelihood related programs.
5. Promote partnership among units by engaging projects, services and priorities.
OUTCOMES-BASED EDUCATION (OBE) COURSE SYLLABUS IN GE 4 – MATHEMATICS IN THE MODERN WORLD

Date Revised/Enhanced: August 08, 2022
Program/Degree: Bachelor of Science in Industrial Technology Major AT, CT, ELT, ET, FT
Program/Degree Location: College of Industrial Technology Department: CIT
Program/Degree Outcomes:
Based on BOT Resolution/Date of opening: BOT Res. No. 95-03/ SY 1996-1997 Revised: BOT Res. No. 05-06/SY 2005-2006 Minor Revision: BOT Res.
No. 08-20/SY 2008-2009 Based on CMO 46 s. 2012 / CMO 01 s. 2014 / Phil. Qualifications Framework / Handbook of CHED Typology, QA and ISA CMO
20, s 2013
Subject Information
Course Code: GE 4 Course Title: Mathematics in the Modern World Type: Theory Credit units 3
Course Description:
This course deals with nature of mathematics, appreciation of its practical, intellectual, and aesthetic dimensions, and application of mathematical tools in daily
life. The course begins with an introduction to the nature of mathematics as an exploration of patterns (in nature and the environment) and as an application of
inductive and deductive reasoning. By exploring these topics, students are encouraged to go beyond the typical understanding of mathematics as merely a set of
formulas but as a source of aesthetics in patterns of nature, for example, and 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

2. limited resources fairly. These aspects will provide opportunities for actually doing mathematics in a broad range of exercises that bring out the various
dimensions of mathematics as a way of knowing, and test the students’ understanding and capacity.
Course Prerequisites/(Co-requisites): None Clientele: All first year students
School Year/Semester Offered: First Semester 2022-2023 Number of Contact Hours: 54 hours
Instructor’s Information
Name: DESIREE M. LICUP
WINTIDE MARINDUQUE
Contact No.: 09103787047
09508107733
Email address: [email protected]
[email protected]
Consultation Hours: As scheduled Office Location CIT
Desired Learning Outcomes: Programme: BS Industrial Technology Course Title Mathematics in the Modern World
Career Description:
 Managing Personal Finances
 Mathematician
Future Opportunities & Challenges at Work / Society.
 Tutor
 Teacher
 Financial Analyst
 Participatory involvement in various exercises in knowing and understanding in doing
wide-range of mathematical dimensions.
Course Outcomes: At the end of the course, the student must have:
Mapped Course Graduate Outcomes Course Outcomes
Level
1 2 3
GO1ANALYZE– Broadly defined industrial technology processes by using analytical
tools that enhances creativity, innovativeness and intellectual curiosity to improve
methods, processes and systems that meet the industry standards.
ANALYZE– the nature of mathematics what it is, how it is
expressed, represented and used.
√
GO2DESIGN AND IMPLEMENT –broadly-defined industrial systems, components,
products or processes to meet specific industry needs with proficiency and flexibility in
the area of specialization in accordance with global standards.
DESIGN AND IMPLEMENT – Polya’s four-step problem-
solving to design model solutions to practical problems that arise in
nature

√
GO5DEVELOP– Leadership skills in a team-based environment by making informed
decisions, keeping team motivated, acting and delegating responsibility and inspiring
positive changes in the organization by exercising responsibility with integrity and
accountability in the practice of one’s profession.
DEVELOP – mathematical ability skills honestly and within
integrity in various applications of human endeavors.
√

Legend: 1 – Slightly 2 – Moderate 3 - Substantially

MATHEMATICS IN THE MODERN WORLD Course Map
GE Learning Outcomes Mathematics in the Modern World
Knowledge (Intellectual Competencies)
1. Analyze “texts” (written, visual, oral, etc.) critically O
2. Demonstrate proficient and effective communication (writing, speaking, and use of
new technologies)
O

3. 3. Use basic concept across the domains of knowledge L
4. Demonstrate critical, analytical, and creative thinking. L
5. Apply different analytical modes in problem solving P
Values (Personal and Civic Responsibilities)
1. Appreciate the complexity of the human condition L
2. Interpret the human experience from various performance O
3. Examine the contemporary world from both Philippine and global perspectives O
4. Take responsibility for knowing and being Filipino O
5. Reflect critically on shared concerns O
6. Generate innovative practices and solutions guided by ethical standards. P
7. Make decisions based on moral norms and imperatives O
8. Appreciate various art forms O
9. Contribute to aesthetics L
10. Advocate respect for human rights O
11. Contribute personally and meaningfully to the country’s development P
Skills (Practical Skills)
1. Work effectively in a group O
2. Apply computing tools to process information effectively P
3. Use current technology to assist and facilitate learning and research P
4. Negotiate the world of technology responsibly P
5. Create solutions to problems in various fields P
6. Manage one’s knowledge, skills, and values for responsible and productive living P
7. Organize one’s self for lifelong learning L
L = Learned P = Practiced O = Opportunity to Learn
MATHEMATICS IN THE MODERN WORLD Additional Course Map
GE Learning Outcomes
Mathematics in the
Modern World
Learning Outcomes
Mathematics in the Modern World
Knowledge (Intellectual Competencies)
6. Analyze “texts” (written, visual, oral, etc.) critically O
7. Demonstrate proficient and effective communication (writing,
speaking, and use of new technologies)
O
8. Use basic concept across the domains of knowledge L  Discuss the language, symbols and conventions of mathematics
9. Demonstrate critical, analytical, and creative thinking. L
 Identify patterns in nature and regularities in the world
 Argue about the nature of mathematics, what it is, how it is expressed,

4. represented and used.
 Explain the nature of mathematics as language
 Write clear and 10 ical roofs
10. Apply different analytical modes in problem solving P
 Use different types of reasoning to justify statements and arguments
made about mathematics and mathematical concepts
Values (Personal and Civic Responsibilities)
12. Appreciate the complexity of the human condition L
 Articulate the importance of mathematics in one’s life
 Express appreciation for mathematics as a human endeavor
 Acknowledge that mathematics is a useful language
 Support the use of mathematics in various aspects and endeavors in life
13. Interpret the human experience from various perspectives O
14. Examine the contemporary world from both Philippine and global
perspectives
O
15. Take responsibility for knowing and being Filipino O
16. Reflect critically on shared concerns O
17. Generate innovative practices and solutions guided by ethical
standards
P
 Organize one’s methods and approaches for proving and solving
problems
 Exemplify honesty and integrity when using codes for security purposes
18. Make decisions based on moral norms and imperatives O
19. Appreciate various art forms O
20. Contribute to aesthetics L
 Contribute to the enrichment of the Filipino culture and arts using
concepts in geometry
21. Advocate respect for human rights O
22. Contribute personally and meaningfully to the country’s
development
P  Advocate the use of statistical data in making important decisions
Skills (Practical Skills)
8. Work effectively in a group O
9. Apply computing tools to process information effectively P
 Use a variety of statistical tools to process and manage numerical data
 Use the methods of linear regression and correlations to predict the value
of a variable given certain conditions
10. Use current technology to assist and facilitate learning and
research
P
 Apply geometric concepts, especially isometrics in describing and
creating designs
11. Negotiate the world of technology responsibly P
 Use coding schemes to encode and decode different types of information
for identification, privacy and security purposes

5. 12. Create solutions to problems in various fields P
 Solve problems involving patterns and recreational problems following
Polya’s four steps
13. Manage one’s knowledge, skills, and values for responsible and
productive living
P
 Use mathematical concepts and tools in other areas such as in finance,
voting, 10 ic, business, networks, and systems
14. Organize one’s self for lifelong learning L  Perform operations on mathematical expressions correctly
L = Learned P = Practiced O = Opportunity to Learn
Week Desired Learning Outcomes
Course Content/
Subject Matter/
Topic
Outcomes-Based
teaching &
Learning
(Methodology)
Resource
Material
Textbook/
References
Assessment of
Learning
Outcomes
Week 1
Overview:
 Comprehend the VMGOQP
 Gain familiarity with the policy of the
course and other classroom rules.
 Familiarized with and understand the
meaning and significance of the subject
to their course, course requirements and
grading system.

I-Preliminaries
A. Orientation to the course
• Orientation to the vision, mission,
quality policy, goals, and objectives
• Course overview and requirements
• Giving course description and
outline
• Presentation of the policy of the
course and other virtual rules.



Modular Approach
Online Platforms
(Zoom, Google
Meet, Google
Classroom, FB
page, Messenger)



Course Syllabus,
Student
Handbook

Laptop or
android phone



Course Syllabus,
Student Handbook



Internalization
Application





Week 2-3

6 hrs.

At the end of the unit, the students must have:

 Identify patterns in nature and
regularities in the world (K)
 Articulate the importance of mathematics
in one’s life (V)
 Argue about the nature of mathematics,
what it is, and how it is expressed,
represented, and used (K)
 Express appreciation for mathematics as
a human endeavor (V)
 Evaluate one’s learning

II. The Nature of Mathematics

 Mathematics in our World
- Patterns and numbers in
nature and the world
- The Fibonacci Sequence
- Mathematics helps
organize patterns and
regularities in the world.
- Mathematics helps predict
the behavior of nature and
the phenomena in the
world
- Mathematics helps control



Modular Approach
Online Platforms
(Zoom, Google
Meet, Google
Classroom, FB
page, Messenger,
Telegram)

Independent
Learning




Ballpen
Paper
Laptop
Android Phone
Module # 01
Mathematics in the
Modern World
(Outcome Based
Module) by
Richard T. Earnhart
and Edgar M.
Adina pp. 2 – 10.

Mathematics in the
Modern World by
Recto “Rex” M.
Calingasan, Ph.D,
Mary C. Martin,
M.Sc., Enrico M.
Yambao, M.Sc. pp.



Individualized
Participative
Assessment

6. nature and occurrences in
the world for our own
ends.
- Mathematics has
numerous applications in
the world making it
indispensable.

Oral Participation # 01 – Nature of
Mathematics

2 – 15.

Additional links:
https://www.youtub
e.com/watch?v=J7
An1mcFHBU

https://www.youtub
e.com/watch?v=o6
8FAFj04Vg

https://www.youtub
e.com/watch?v=ax8
mLKp6ouU

https://www.youtub
e.com/watch?v=Jk_
1d4mbVyQ&t=19s





Week 4-5

6 hrs.



At the end of the unit, the students must have:

 Discuss the language, symbols, and
conventions of mathematics (K)
 Explain the nature of mathematics as a
language (K)
 Perform operations on mathematical
expressions correctly (S)
 Acknowledge that mathematics is a
useful language (V)
 Evaluate one’s learning




III. The Nature of Mathematics

 Mathematical Language and
Symbols
- Characteristics of
mathematical language:
precise, concise, powerful
- Expressions vs. Sentences
- Conventions in
mathematical language
- Four basic concepts: sets,
functions, relations, binary
operations
- Elementary logic:
connectives, quantifiers,
negation, variables
- Formality

Oral Participation # 02 –
Mathematical Language and Symbols



Modular Approach
Online Platforms
(Zoom, Google
Meet, Google
Classroom, FB
page, Messenger,
Telegram)

Independent
Learning



Ballpen
Paper
Laptop
Android Phone
Module # 02

Mathematics in the
Modern World
(Outcome Based
Module) by
Richard T. Earnhart
and Edgar M.
Adina pp. 38 – 43,
45 – 53, 54 – 71.

Mathematics in the
Modern World by
Recto “Rex” M.
Calingasan, Ph.D,
Mary C. Martin,
M.Sc., Enrico M.
Yambao, M.Sc. pp.
27 – 48.




Online
Quiz # 01 (Google
Forms)

Individualized
Participative
Assessment

7. Additional Links:
https://www.youtub
e.com/watch?v=dw
KfiXGdo1A

https://www.youtub
e.com/watch?v=ng
UotonNTNY

https://www.youtub
e.com/watch?v=DV
j39F1P9D8

https://www.youtub
e.com/watch?v=Ar
gFkbIovLw

https://www.youtub
e.com/watch?v=qb
yBlZhC8Ds





Week 6-8

9 hrs.


At the end of the unit, the students must have:

 Use different types of reasoning to
justify statements and arguments made
about mathematics and mathematical
concepts (K)
 Write clear and logical proofs (K)
 Solve problems involving patterns and
recreational problems following Polya’s
four steps (S)
 Organize one’s methods and approaches
for proving and solving problems (V)
 Evaluate one’s learning


IV. The Nature of Mathematics

 Problem Solving and
Reasoning
- Inductive & Deductive
Reasoning
- Intuition, Proof &
Certainty
- Polya’s 4-steps in Problem
Solving
- Problem Solving
Strategies
- Mathematical Problems
involving Patterns
- Recreational Problems
using mathematics

Learning Content # 01 – Content-



Modular Approach
Online Platforms
(Zoom, Google
Meet, Google
Classroom, FB
page, Messenger,
Telegram)
Problem Solving

Independent
Learning

Research Work

Ballpen
Paper
Laptop
Android Phone
Module # 03

Mathematics in the
Modern World
(Outcome Based
Module) by
Richard T. Earnhart
and Edgar M.
Adina pp. 78 – 83,
88 – 95, 100 – 105.

Mathematics in the
Modern World by
Recto “Rex” M.
Calingasan, Ph.D,
Mary C. Martin,
M.Sc., Enrico M.
Yambao, M.Sc. pp.



Individualized
Activity Assessment

8. Based Problem Analysis

16 – 18.

Additional Links:
https://www.youtub
e.com/watch?v=Gc
mNSwez5AI

https://www.youtub
e.com/watch?v=QE
rRuYVCPjg

https://www.youtub
e.com/watch?v=grI
H2hmaid4

Week 9

At the end of the examination, the students must
have achieved 75% from the midterm
examination.
Topic from Unit II to Unit IV

Conduct online
Mid-term
Examination
(Google Forms)
Google Forms
References from
Module 1 to
Module 3
Mid-term
Examination
Questionnaires
(Google Forms)



Week 10-11

9 hrs.




At the end of the unit, the students must have:

 Use a variety of statistical tools to
process and manage numerical data (S)
 Use the methods of linear regression and
correlations to predict the value of a
variable given certain conditions (S)
 Advocate the use of statistical data in
making important decisions (V)
 Evaluate one’s learning





V. Mathematics as a Tool

 Data Management
- Data gathering and
organizing data
- Measures of Central
Tendency: Mean, Median,
Mode, Weighted Mean
- Measures of Dispersion:
Range, Standard
Deviation, and Variance
- Measures of Relative
Position: z-scores,
Percentiles, Quartiles, and
Box-and-Whiskers Plots
- Probabilities and Normal
Distributions
- Linear Regression and
Correlation: Least-squares
line, Linear Correlation



Modular Approach
Online Platforms
(Zoom, Google
Meet, Google
Classroom, FB
page, Messenger,
Telegram)
Problem Solving

Independent
Learning



Ballpen
Paper
Laptop
Android Phone
Module # 04



Mathematics in the
Modern World
(Outcome Based
Module) by
Richard T. Earnhart
and Edgar M.
Adina pp. 297 –
304, 308 – 312.

Mathematics in the
Modern World by
Recto “Rex” M.
Calingasan, Ph.D,
Mary C. Martin,
M.Sc., Enrico M.
Yambao, M.Sc. pp.
60 – 94.




Online
Quiz # 02 (Google
Forms)

Individualized
Participative
Assessment

9. Oral Participation # 03 – Data
Management

Additional Links:
https://www.youtub
e.com/watch?v=oD
-hvNyrhgk

https://www.youtub
e.com/watch?v=Ntf
WQILgJyY

https://www.youtub
e.com/watch?v=M
U5HQStFWWk

https://www.youtub
e.com/watch?v=LR
GVoBRjKWo

https://www.youtub
e.com/watch?v=mt
G8vqsxUBo

https://www.youtub
e.com/watch?v=7C
UqGXZzvAo

Choose two or three topics for this section (CMO 20, s. 2013). Chosen topics are stated below.

Week 12-17

15 hrs.


At the end of the unit, the students must have:

 Apply geometric concepts, especially
isometries in describing and creating
designs (S)
 Create a design that involves the
different types of geometric
transformation (S)
 Contribute to the enrichment of the
Filipino culture and arts using concepts
in geometry (V)
 Calculated the simple and compound
interests

VI. Mathematics as a tool

 Geometric Designs
- Recognizing & Analyzing
Geometric Shapes
- Transformations
- Patterns and Diagrams
- Designs, Arts and Culture

Learning Content # 02 – Geometric
Designs

Oral Participation # 04 – My



Modular Approach
Online Platforms
(Zoom, Google
Meet, Google
Classroom, FB
page, Messenger,
Telegram)


Independent
Learning



Ballpen
Paper
Laptop
Android Phone
Module # 05

Mathematics in the
Modern World
(Outcome Based
Module) by
Richard T. Earnhart
and Edgar M.
Adina pp. 114 –
123, 131 – 142, 149
– 155, 54 – 65.

Mathematics in the



Individualized
Learning Content
Assessment

Individualized
Participative
Assessment

10.  Calculated the monthly payments on
consumer loans
 Calculated the stockholder’s dividend
and yield, interest on bonds, and the net
asset value in a mutual fund
 Analyze and apply the use of
mathematics in various aspects and
endeavors in life
 Evaluate one’s learning

Geometric Designs

 Mathematics of Finance
- Simple and Compound
Interests
- Credit Cards and
Consumer Loans
- Stocks, Bonds, and
Mutual Funds






Research Work
Modern World by
Recto “Rex” M.
Calingasan, Ph.D,
Mary C. Martin,
M.Sc., Enrico M.
Yambao, M.Sc. pp.
281 – 303, 27 – 49.

Additional Links:
https://joelreyesnoc
he.files.wordpress.c
om/2017/09/mmwc
oddccas5.pdf

https://courses.lume
nlearning.com/sanj
acinto-
finitemath1/chapter
/reading-finance-
part-i/

Week 18

At the end of the examination, the students must
have achieved 85% from the final examination.

Topics from Unit V to VI
Conduct online
Final Term
Examination
(Google Forms)
Google Forms
References from
Module 4 – 5
Final Examination
Questionnaires
(Google Forms)
Course Requirements

 Meet the passing rating for oral and online examinations.
 Observe submission of the given requirements.

Course Policy Information Missed Quizzes/ Exams/ Projects, Absences/Plagiarism Policies, are stipulated in the College Student Handbook for information and guidance.
Subject Policy Information
 Checking of attendance will depend upon the set online schedule.
 Non-online quizzes should be submitted one week after the quiz was set.
 All outputs should be submitted within the coverage. Grades on late submission of outputs shall be subject to deduction (maximum of 15% deduction).
Submitted online requirements of the midterm coverage after the date of the midterm exam shall be considered late and be deducted a minimum of 5%
and a maximum of 15% on the given grade and be based on the given rubrics.
 Wearing of appropriate/presentable outfit when presenting outputs during an online class.
 Observe online ethical standards and data privacy.
 Assessed and evaluate the course content after the end of the semester.

11. A. FOR CIT & GENERAL RELATED SUBJECTS

 Factual, Conventional & Subjective Learning Content Output ------------- 45%
(reaction & analysis paper/research work/individual or group
cases/quizzes/creative arts)
 Midterm/Final Exam --------------- 25%
 Oral/Web-based Presentation ---------------- 30%
Total 100%


*Per approved Joint Administrative and Academic Council Meeting dated February 15, 2021

Course Updates
/Development/
Remarks
Date Future Points to Consider














Prepared:
Checked & Reviewed/Recommending Approval:

Approved:



DESIREE M. LICUP


WINTIDE MARINDUQUE
CIT, Faculty


JUDITH M. LOYOLA, EdD
Dean, CIT
Date: Date : Date : Date :
JUDITH M. LOYOLA, EdD
CIT, Local Committee on
Textbook and Instructional
Material Development
Chairman/Dean

RODA S. MESA, MAIE
CIT, Local Committee on Textbook and
Instructional Material Development
BSIT Program Chairperson/Member

ENGR. ELMO C. RAPSING, JR.
CIT, Local Committee on
Textbook and Instructional
Material Development
CIT Senior Faculty/Member