Math-1-Syllabus-2021-2022.docx

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Republic of the Philippines
UNIVERSITY OF RIZAL SYSTEM
Province of Rizal
ANGONO CAMPUS
First Semester SY 2021-2022
COURSE TITLE : MATHEMATICS IN THE MODERN WORLD COURSE CODE : Math 1
CONTACT HOURS : Lecture: 54 CREDIT UNITS : 3
PRE-REQUISITES : None CO-REQUISITES :
I Vision: The leading University in human resource development, knowledge and technology generation, and environmental
stewardship.
II Mission: The University of Rizal System is committed to nurture and produce upright and competent graduates and empowered
community through relevant and sustainable higher professional and technical instruction, research, extension, and
production services.
III Goals:
National: To train the nation’s manpower in the skills required for the national development for the improvement of the quality of
human life.
Regional: To train the nation’s manpower with the skills required for the regional development.
University: To develop the full potential of an individual in academic and technological discipline for an empowered, productive and morally up citizenry.
IV Core Values: Responsiveness, Integrity, Service, Excellence, Social Responsibility
V Graduate
Attributes: Globally Competitive, Innovative, Adaptive, Nationalistic, Trustworthy, Service Oriented
VI Program: General Education

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VII Program Outcomes:
The General Education Curriculum aims to develop the following competencies-based outcomes:
Knowledge (Intellectual Competencies)
1. Analyze “texts” (written, visual, oral) critically
2. Demonstrate proficient and effective communication (writing, speaking, and use of new technologies)
3. Use basic concepts across the domains of knowledge
4. Demonstrate critical, analytical and creative thinking
5. Apply different analytical models in problem solving
Values (Personal and Civic Responsibilities)
1. Appreciate the complexity of the human condition
2. Interpret the human experience from various perspectives
3. Examine the contemporary world from both Philippine and global perspectives
4. Take responsibility for knowing and being Filipino
5. Reflect critically on shared concerns
6. Generate innovative practices and solutions guided by ethical standards
7. Make decisions based on moral norms and imperatives
8. Appreciate various art forms
9. Contribute to aesthetics
10. Advocate respect for human rights
11. Contribute personally and meaningfully to the country’s development
Skills (Practical Skills)
1. Work effectively in a group
2. Apply computing tools to process information effectively
3. Use current technology to assist and facilitate learning and research
4. Negotiate the world of technology responsibly
5. Create solutions to problems in various fields
6. Manage one’s knowledge, skills and values for responsible and productive living
7. Organize oneself for lifelong learning

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VIII Program Outcomes Addressed by the Course:
1. Use basic concepts across the domains of knowledge
2. Demonstrate critical, analytical and creative thinking
3. Apply different analytical models in problem solving
4. Appreciate the complexity of the human condition
5. Generate innovative practices and solutions guided by ethical standards
6. Contribute to aesthetics
7. Contribute personally and meaningfully to the country’s development
8. Apply computing tools to process information effectively
9. Use current technology to assist and facilitate learning and research
10. Negotiate the world of technology responsibly
11. Create solutions to problems in various fields
12. Manage one’s knowledge, skills and values for responsible and productive living
13. Organize oneself for lifelong learning
X Course Description:
This course deals with the 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 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.

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XI Course Outline:
WEEK/TIME
ALLOTMENT
INTENDED LEARNING
OUTCOMES (ILO)
OUTCOME-BASED
ASSESSMENT
(OBA)
CONTENT TEACHING AND
LEARNING
ACTIVITIES (TLA)
LEARNING
RESOURCES
REFERENCES
Week 1-2
6 Hours
Express appreciation of
nature, power, and beauty
of mathematics.
Articulate the importance of
mathematics in one’s life.
Assignments
Quizzes
Seatworks
/Activities
Recitation
The Nature of
Mathematics
Mathematics in our
World
● Patterns and
Numbers in Nature
● The Fibonacci
Sequence
● Organization of
Patterns Regularities
in the World
● Prediction of
Behavior of Nature
and Phenomena in
the World
The students are to
analyze and reason
out based on the
given t-l scenarios
Multimedia
(Powerpoint)
Actual Classroom
Encounter
Aufman et al.,
Mathematics in
the Modern
World
Tolentino, Aurora Rosalie P, et
al., Mathematics in the Modern
World. Malabon City, Mutya
Publishing Inc. (2018)
Cordial, Renelyn R, et al.,
Mathematics in the Modern
World. Muntinlupa City,
Panday-Lahi Publishing House
Inc. (2018)
Week 3-4
6 Hours
Discuss the language,
symbols and conventions of
mathematics.
Identify statements as
mathematical expression or
mathematical sentence.
Convert mathematical
sentences and expressions
to English words and
statements.
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematical
Language and
Symbols
● Characteristics of
Mathematical
Language
● Expressions versus
Sentences
● Conversions in the
Mathematical
Language
● Four Basic Concepts
(Sets, Functions,
Students will be
asked to do some
boardwork.
Multimedia
Actual Classroom
Encounter
Aufman et al.,
Mathematics in
the Modern
World
Inc. (2018)
Ariola, Marion Faye O, et al.,
Deal with the World of Today

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.
Relations, Binary
Operations)
● Elementary Logic
(Connectives,
Quantifiers,
Negation, Variables)
● Formality
Through Mathematics. Malabon
City, Mutya Publishing House
Inc. (2018)
Week 5-6
4.5 hours
Discuss ways to solve
problem.
Solve problems using
polya’s strategy.
Solve problems using
inductive and deductive
reasoning.
Characterize effective
assessment
Assignments
Quizzes
Seatworks
/Activities
Recitation
Problem Solving and
Reasoning
● Inductive and
Deductive
Reasoning
● Intuition, Proof and
Uncertainty
● Polya’s 4-step in
Problem Solving
● Problem Solving
Strategies
● Mathematical
Problems Involving
Patterns
● Recreational
Problems Using
Mathematics
Students will be
grouped to discuss
about their
experiences in
applying different
ways of solving
problems in
mathematics
Multimedia
Actual Classroom
Encounter
Aufman et al.,
Mathematics in
the Modern
World
Alejan, Ronnie O et al.,
Publishing House Inc. (2018)
PRELIMINARY EXAMINATION
Week 7-8 Understand the basic
concepts/terminologies in
statistics.
Categorize data and the
scales of measurement the
data are measured.
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematics as a
Tool
Statistics
 Measures of Central
Tendency
 Measures of
Dispersion
 Measures of Relative
Position
 Normal Distributions
Classroom
Interaction
Interactive
Lecturing
Cooperative
Learning
structures
Discussion
Laptop
Power point
presentation
Geogebra
application
textbook
Aufman et al.,
Mathematics in
the Modern
World

6
Paraphrase and differentiate
the methods of collecting
data and use appropriate
Sampling techniques.
Chart data in various forms
such as graphs, tables
and/or texts using MS Excel.
Analyze data using Data
Analysis Tool pack and
other functions in MS Excel.
Explain and interpret the
results of the data analysis.
Analyze correlational
problems using Data
Analysis Tool pack in MS
Excel;
 Linear Regression
and Correlation
Inc. (2018)
Week 9-10 Present geometric concepts
in describing and creating
design.
Identify the kinds of
geometric transformations.
Reflect on the importance of
geometric designs in the
enrichment of the Filipino
culture and arts
Distinguish between simple
and compound interest by
computing future and
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematics as a
Tool
Statistics
 Geometric Shapes
 Geometric Designs
 Geometric
Transformation
 Geometric Patterns
 Polygons
Classroom
Interaction
Interactive
Lecturing
Cooperative
Learning
structures
Discussion
Laptop
Power point
presentation
Geogebra
application
textbook
Inc. (2018)

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present value for simple and
compound interest problems
Determine present and
future value and deposit /
withdrawal / and payment
amount of an annuity and a
loan.
Compute fort an
amortization schedule
Determine which financial
formulas are appropriate for
a given problem
Define simple and
compound interest.
Week 11-12 Relate place value in
decimal numbers to place
value in binary numbers
Understand the term 'binary
number
Explain the place values in
base two
Convert base two numbers
to base ten number
Explain common uses of
binary numbers
Perform different operations
in binary numbers
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematics as a
Tool
Statistics
 Binary Numbers
 Operations in Binary
Numbers
Classroom
Interaction
Interactive
Lecturing
Cooperative
Learning
structures
Discussion
Laptop
Power point
presentation
Geogebra
application
textbook
Inc. (2018)

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MIDTERM EXAMINATION
Week 13-14 Describe the basic notions
of apportionment and voting.
Use each method of
apportionment to distribute
items fairly to several
Groups of a population.
Identify the apportionment
method that will satisfy the
fairness criteria.
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematics as a
Tool
Statistics
 Apportionment
 Voting
 Distribution of Voting
 Methods of
Apportionment
Classroom
Interaction
Interactive
Lecturing
Cooperative
Learning
structures
Discussion
Aufman et al.,
Mathematics in
the Modern
World
Inc. (2018)
Week 15-16 Analyze
information and the
relationship
between
statements
Determine the
validity of
arguments
Determine valid
conclusions based
on given
assumptions
Analyze and
appreciate how
logic is used in
various context
such as context of
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematics as a
Tool
Logic
 Logic Statements and
Quantifiers
 Truth Tables,
Equivalent
 Statements and
Tautologies
 The Conditional
 and the Biconditional
 The Conditional and
Related
 Statements
 Symbolic Arguments
 Arguments and Euler
Diagrams
Classroom
Interaction
Interactive
Lecturing
Cooperative
Learning
structures
Discussion
Laptop
Power point
presentation
Geogebra
application
textbook
Aufman et al.,
Mathematics in
the Modern
World
Inc. (2018)

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electronic circuits
Week 17-18 Define and identify different
types of graphs.
Categorize and distinguish
graphs based on its
properties.
Apply the knowledge on
graphs in programming and
other related works.
Assignments
Quizzes
Seatworks
/Activities
Recitation
Mathematics of Graphs
 Graphs and Euler
Circuits
 Weighted Graphs
 Planarity and Euler/s
Formula
 Graph Coloring
Classroom
Interaction
Interactive
Lecturing
Cooperative
Learning
structures
Discussion
Laptop
Power point
presentation
Geogebra
application
textbook
Aufman et al.,
Mathematics in
the Modern
World
Inc. (2018)
FINAL EXAMINATION
XII Course Policies:
1. All requirements must be submitted on time. Late submission will receive deductions.
2. No text messaging or entertaining of phone calls during class hours. Please be courteous, turn off your cell phone while inside the classroom.
3. Students with 3 consecutive absences will automatically be dropped from the class roll.
4. Students who wished to drop the course must do so officially and not just stop coming to class.
5. Academic dishonesty: Any form of cheating or plagiarism in this course will result in zero on the exam, assignment, or project. Allowing others access to your work
potentially involves you in cheating. Working with others to produce very similar reports is plagiarism regardless of intent.
6. Problems encountered with the subject must be discussed to the instructor. Such consultation may be made in person during designated time and at designated
place.

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XIII. Grading System:
60% - Class Standing (Formative Test, Reports, Recitations, Attendance, Attitude, etc…)
40% - Major Examinations (Traditional and/or Authentic)
100%
XIV. Consultation Period:
Day Time Place
Prepared:
TAMMY P. PALADA
Instructor
Noted by:
WAHINEE M. CRUZADA
Dean, College of Arts and Letters

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