College of Humanities and Sciences
Lourdes E. Campos, MD Building
City of Dasmariñas, Cavite, Philippines
Trunk Lines: (63) (46) 481-8000 (63) (2) 988-3100
DLSHSI URL: www.dlshsi.edu.ph
CHS URL: https://sites.google.com/site/dlshsichs/
Local: 5007 (Dean’s Secretary) | 1412 (Dean)
1345 (Dept. of Integrated Humanities and Sciences)
1408 (Dept. of Chemistry)
1115 (Chemistry Lab) | 1405 (Biology & Physics Lab)
COURSE SYLLABUS
DEPARTMENT : Integrated Humanities and Sciences
COURSE CODE AND COURSE TITLE : GE- MATH 101 / College Algebra
NUMBER OF UNITS : 3.0
PRE-REQUISITE : none
CLASS DAYS AND CLASS TIME : __________________________________________
ROOM: : __________________________________________
INSTRUCTOR/PROFESSOR : __________________________________________
CONSULTATION HOURS : __________________________________________
COURSE DESCRIPTION:
This is a basic course in Algebra which deals with the real number system, algebraic expressions and operation, radicals and rational exponents, equations and
inequalities, system of linear equations in two or more variables, quadratics, functions, and relations.
LEARNING OUTCOMES:
LO 1: Understanding of basic concepts across the domains of knowledge
LO 2: Critical, analytical, and creative thinking
LO 3: Understanding and respect for human rights
LO 4: Ability to contribute personally and meaningfully to the country’s development
LO 5: Working effectively in a group
LO 6: Problem solving (including real-world problems)
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LEARNING PLAN:
TEACHING AND LEARNING METHOD OF
TOPICS INTENDED LEARNING OBJECTIVES STRATEGIES ASSESSMENT
Display knowledge of what are expected of Discussion of the Expectations of
them, the grading system, and the house rules. both Professor and Students.
Class Orientation
Forum
1. SETS AND NUMBER SYSTEM
1.1. Set and Set Operation Define, differentiate, describe, and give Lecture Recitation
examples of sets and kinds of sets.
Board work
1.2. The Set and Set Operations on Sets Interactive discussion
Perform the operations on sets.
Quiz
1.3. Properties of Real Numbers and Its Determine and classify real numbers. Use of multimedia devices in the Problem set
Subsets discussion
Apply the properties of real numbers and sets.
2. POLYNOMIALS
2.1 Simplifying Polynomials Define the basic terms of polynomials. Lecture Seatwork
2.2 Powers with Zero, Positive, and Interactive discussion Quiz
Enumerate the laws of exponents.
Negative Integer Exponents
Use of multimedia devices in the Problem set
2.3 Product of Polynomials Simplify polynomials with the laws of discussion
2.4 Division of Polynomials exponents.
2.5 Synthetic Division
Perform the four operations of polynomials.
3. SPECIAL PRODUCTS AND
FACTORING Enumerate the different types of special product Llecture Seatwork
3.1 Special Products formulas.
Interactive discussion Quiz
2
Perform multiplication of polynomials using
special product formulas.
3.2 Factoring Small group discussions
Problem set
Enumerate the different types of factoring.
Differentiate one type of factoring from another
type.
4. RATIONAL EXPRESSIONS
4.1 Fundamental Principle of Rational Define and illustrate the two types of fractions. Lecture Seatwork
Expressions
4.2 Simplifying Rational Expressions Discuss the three methods of finding the LCM. Interactive discussion Board Work
Small group discussions
FIRST COMPREHENSIVE ASSESSMENT
TEACHING AND LEARNING METHOD OF
TOPICS INTENDED LEARNING OBJECTIVES STRATEGIES ASSESSMENT
4.2 Multiplication and Division of Rational Perform addition and subtraction of rational Lecture Seatwork
Expressions expressions.
4.3 Addition and Subtraction of Rational Interactive discussion Quiz
Expressions
Perform multiplication and division on sets of
4.4 Complex Numbers Small group discussion Problem set
rational expressions.
5. RATIONAL EXPONENTS AND Define and illustrate powers with zero and
RADICALS negative exponents. Lecture Board Work
5.1 Rational Exponents and Radical
5.2 Complex Numbers Interactive discussion Seatwork
Simplify expressions of powers.
Define radicals and illustrate its properties.
Relate powers with rational exponents to radical
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form.
6. LINEAR EQUATIONS
6.1 Linear Equations Gain familiarity to the different types of Lecture Board Work
6.2 Literal Equations equations and ways to solve it.
Interactive discussion Recitation
Translate mathematical statements into
algebraic equations. Use of multimedia devices Quiz
Analyze and solve a variety of word problems.
7. QUADRATIC EQUATIONS
7.1 Solving Quadratic Solve quadratic equation using different Lecture Seatwork
Equations methods. Interactive discussion Quiz
7.2 Characteristics of the Roots of a Small group discussions Problem set
Quadratic Equations
Determine the nature of the roots of a quadratic
equation.
8. APPLICATION ( Linear and Quadratic Solve word problems involving quadratic
Equations) equations. Lecture Seatwork
Interactive discussion Problem set
Small group discussions
SECOND COMPREHENSIVE ASSESSMENT
TEACHING AND LEARNING METHOD OF
TOPICS INTENDED LEARNING OBJECTIVES STRATEGIES ASSESSMENT
9. INEQUALITIES
9.1 Absolute and Conditional Inequalities Differentiate equations from inequalities. Lecture Seatwork
9.2 Solving Inequalities
Interactive discussion Quiz
Distinguish absolute from conditional inequality.
Use of multimedia devices Problem set
Solve inequalities and express the result in
solution set and interval notation. Small group discussion
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10. SYSTEMS INVOLVING LINEAR
EQUATIONS AND WORD PROBLEMS State and illustrate the three methods of solving Lecture Seatwork
10.1 Linear Equation linear equations.
10.2 Solving Systems of Linear Equations Interactive discussion Quiz
in Two Variables
Translate mathematical statements into algebraic
10.3 Applications to Word Problems Use of multimedia devices Problem set
equations.
Small group discussion
Analyze and solve a variety of word problems.
11. GRAPHS AND LINES
11.1 The Cartesian Coordinate System Plot points on the rectangular coordinate system. Lecture Seatwork
11.2 Equations of a Line
Solve distances and midpoints between two Interactive discussion Quiz
points.
Use of multimedia devices Problem set
Determine the equation of any given line. Small group discussion
Solve problems related to lines.
THIRD COMPREHENSIVE ASSESSMENT
FINAL COURSE OUTPUT:
As evidence of attaining the above learning outcomes, the students are required to do and submit the output as indicated.
LEARNING OUTCOME REQUIRED OUTPUT DUE DATE
Research Paper
At the end of the course, the student should be
able to work on a research paper in 1) life of a
mathematician and 2) one of the applications of October 9, 2015
LO1 – LO6 algebra. This paper will discuss the lessons
learned in the life of the mathematician as he
struggled to develop the mathematical
concept/theorem and how the student can relate to
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the former’s life. The second part of the paper
will discuss the application of a particular topic in
algebra and how this is related to contemporary
issue/concern in CALABARZON or the nation as
a whole. This research shall be presented in the
class.
RUBRIC FOR ASSESSMENT:
Criteria Outstanding Very Satisfactory Satisfactory Needs Improvement Score
4 3 2 1
God Loving Able to identify at least two (2) Able to identify only one Able to identify problem in Very negative view and
Attribute the instance/s in the instance in the the mathematician’s life indifferent
mathematician’s mathematician’s life where mathematician’s life where he but failed to attribute it to
success to God’s God helped/guided the former. encountered problem but was God’s power.
handwork. able to overcome it.
God Loving Convinced that God can grant Acknowledged God’s role in With reservation in solving Accepting that the
Acknowledgement of him success either in solving the success of the math problems. Little hope mathematician’s success
God’s sovereignty any problem, be it in mathematician but unable to that he can conquer is a special case; and that
over all things mathematical or in real life. claim God’s help in his own problems as how the he cannot duplicate the
struggle in mathematics. mathematician did. former’s success in life.
Person Oriented Discussion is very organized Discussion is not very Discussion is disorganized Discussion is very
Organization and and coherent. organized nor coherent. and not coherent. disorganized and not
coherence of coherent. Model
presentation produced is inaccurate
and not applicable
Person Oriented The complete report is The complete report is The complete report is The complete report is
Promptness in submitted on time. submitted late but within the submitted one day after the submitted 2 or more days
submission day. deadline. late.
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Patriotic Health Able to strongly link a Chosen application is related Chosen application was Chosen application is not
Professionals particular application of to a health issue in the region. linked to a health issue in at all related to any
Innovative approach algebra or trigonometry to a the region but relationship health issue in the region.
linking math to present health issue in the was not well established.
prevalent community region.
health concerns.
Patriotic Health High level of applicability to Moderate degree of Low applicability to actual Not helpful at all to any
Professionals actual existing problems applicability to actual existing existing problem. problem in the region.
Utility of the project in problems.
Calabarzon.
OTHER REQUIREMENTS AND FORMS OF ASSESSMENTS:
Aside from the final output, the students are assessed at other times during the term by the following:
1. Quizzes/Long Test
2. Seatwork
3. Problem Set
4. Oral Participation
5. Major Exam
6. One Research Day / Alternative Class per Term
LEVELS OF ASSESSMENT:
FORM OF ASSESSMENT PERCENTAGE WEIGHT
Major Exam 50%
Long and Short Quizzes
30%
Seat Works
Problem Sets
20%
Oral Participation
OVERALL POINTS 100%
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COMPUTATION OF GRADES:
Each form of assessment will be computed as follows:
RAW SCORE
ASSESSMENT SCORE 50 50
TOTAL SCORE
At the end of the course, the final course grade will be computed as follows:
PRELIM GRADE MIDTERM GRADE FINAL GRADE
FINAL COURSE GRADE 0.9 FINAL COURSE OUTPUT SCORE 0.1 100
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TEXTBOOK (MODULE):
Ilano, J. and Salansang M. (2014). College Algebra for De La Salle Health Sciences students only.
REFERENCES:
Silveo R., et al., (2003). College Algebra worktext. 2nd Edition. Manila: National Bookstore.
Larson, R. (2000). Algebra and Trigonometry. 5th Edition. Boston: H. Mifflin.
Leithold, L (2001). College Algebra and Trigonometry. International Edition. Singapore: Pearson Education Asia.
Lial, M. et al (2004). Beginning Algebra. 9th Edition. Singapore : Pearson Education South Asia.
Swokowski, E. (2002). Algebra and Trigonometry with Analytic Geometry. Pacific Grove, Calif: Brooks/Cole.
Stewart, J., Redlin, L. and Watson, S. (2007). Algebra and Trigonometry. 2nd Edition. Singapore: Thomson Learning.
Stewart, J., Redlin, L. and Campus (2000). College Algebra. 4th Edition. Singapore: Thomson Learning.
COURSE POLICIES:
1. Students are allowed 20% of the total number of school days of absences inclusive of tardiness. All absences after that shall mean excessive absences, which
will merit a grade of 0.00.
2. Students who arrive beyond the allowable time for tardiness maybe allowed to enter the class but are marked absent. Attendance Policies found in the Student
Handbook apply.
3. Three (3) accounts of tardiness are computed as one (1) session absence for the subject.
4. The students will be given a score of zero (0) with corresponding grade of zero percent (0%) in a requirement which is not submitted on the prescribed time
and date and in a quiz which is given during their absence.
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5. Only excused students are given the chance to make-up for missed requirements. Failure to appear on the scheduled make-up quiz/seatwork will be given a
score of zero (0) with corresponding grade of zero percent (0%).
6. Absentees who filed for an excused absence should present the excuse slip to their professor/instructor within 48 hours upon return to the College.
7. Special major exams are scheduled one week after the administration of the major exams. No special exams will be given thereafter EXCEPT IN SPECIAL
SITUATIONS.
8. Home works will be due at the beginning of the class. No home will be accepted thereafter.
9. Students must be honest at all times; cheating and plagiarism in any form will merit a grade of 0.00.
10. Cellular/Mobile phones should always be in silent mode during class hours; the use of cellular phones is prohibited in class unless a special permission is
sought. Cellular phones cannot also be used as calculator during examination.
11. The use of video cameras, cameras, cellular phones, MP3 player, Ipod, tablets, and other similar devices are prohibited inside the classroom unless the photo
or video shall be used for documentation purposes.
12. Borrowing of calculators, pencils, pen/s, erasers, or other materials is prohibited during the administration of the assessment.
13. Any complaints (teaching, grades, etc.) against the teacher or against classmates (relative to the class) should be properly addressed to the subject-teacher for
appropriate action. Students may seek the help and guidance of their academic/registration adviser in resolving the issue with the subject–teacher.
All policies (attendance, tardiness, decorum, grievances, etc.) will be subject to the provisions of the latest revision of the Student Handbook.
ENDORSED: RECOMMENDING APPROVAL: APPROVED:
MAY VELUZ G. SALANSANG, MSME ILUMINADA A. RONIO, MSc MARGEL C. BONIFACIO, RCH, PhD
Cluster Coordinator, Mathematics and Computer Department Chair Dean
