OUR LADY OF LOURDES COLLEGE

College of Education

OBE COURSE SYLLABUS

Course Title: College Algebra

Credit: 3 units

A. Course Description:
Algebra is the language of science and technology that provides a foundation upon which higher mathematics is built. Contents of which include the real number
system, algebraic expressions, rational expressions, radicals, the coordinate system, functions and relations, solutions of equations associated with word problems,
inequalities, exponential and logarithmic functions, and variations and progressions.

At the end of the semester, education students are expected to:

1. Define, give examples, and perform the fundamental operations on sets and real numbers.
2. Add, subtract, multiply, divide, and factor algebraic expressions.
3. Solve linear and quadratic equations and inequalities.
4. Solve word problems involving equations and inequalities.
5. Identify relations which are functions.
6. Determine the domain, range, inverse and graph of a given function.
7. Solve exponential and logarithmic functions.
8. Recognize arithmetic and geometric progressions.
C. Course Contents

CONTENTS/ STUDENT LEARNING TIME

TOPICS OBJECTIVES OUTCOMES AND ALLOT- STRATEGIES EVALUATION KEY INDICATORS
ACTIVITIES MENT / RESULTS

I. Getting to Know 1. be acquainted with 1. Students can refresh Discussion - Oral Students possess
Session each other their minds about the Participation understanding of the school’s
2. Subject Orientation school policies 1 Goal Setting policies
on Classroom 2. be oriented with the meeting Dialogue
Rules/Policies, course content, 2. Students can discuss - Written
Requirements and policies and their expectations towards
Grading System requirements the course
3. Target Setting
3. develop sense of
direction in life

II. Sets 1. State, define, and 1. Appreciation on the 100% of the students have
- Definition and basic illustrate the different importance of set and its Recitation passing scores in the written
notations kinds of sets application in one’s daily 2 Pair-sharing quiz
- Subsets and counting 2. Enumerate and apply life meetings Written/Quiz
- Operations on sets the two ways of describing 2. Students can give their Active participation in class
sets own examples of sets Discussion discussion
3. Perform operations on Participation
sets
III. Number Systems 1. Illustrate the real
- Counting numbers number system 1. Students’ familiarity with Quizzes
- Integers 2. Identify rational and the real number system
- Rational and irrational numbers 2 Group Activities Recitation Students will be able to do peer
irrational numbers 3. Explain the different 2. Applications of real meetings teaching
- Real numbers and properties of real numbers number properties to solve Discussion Long test
their properties 4. Apply the properties of real life problems
real numbers in problem
solving 3. Students can illustrate
their own diagram showing
the real number system

IV. Algebraic 1. Define algebraic 1. Exhibit competency in Quizzes

Expressions expressions performing operations on Group Activities
- Definition of terms 2. Perform operations on algebraic expressions Discussion Recitation 100% of the students will
- Operations on algebraic expressions acquire skills in solving
algebraic expressions 3. Enumerate the different 2. Express appreciation on 2 Documentation Long test algebraic expressions
- Special products types of special product the significance of algebraic meetings of activities
- Factoring 4. Factor expressions expressions in solving real Portfolio of Completion of the portfolio
using the different life problems. Demonstrations activities
factoring methods
V. Rational 1. Simplify rational 1. Develop competencies in Group Activities Discussion 100% of the students will
expressions expressions simplifying rational Quizzes become familiar on simplifying
- Simplification of 2. Perform operations on expressions rational expressions
rational expressions rational expressions 2 Discussion Recitation
- Operations on 3. Illustrate procedures in 2. - Acknowledge that meetings All students shall pass the
rational expressions simplifying complex mathematics is a useful Project/ written evaluation
- Complex fractions fractions language Output -based
assessment

VI. Radicals 1. Define integral and zero Students can simplify Demonstrations
- Integral and zero exponents and rational radicals through Portfolio of
exponents exponents application of steps 2 Group Activities activities
- Rational exponents 2. Simplify radicals learned. meetings All students are expected to
- Simplification of 3. Perform operations on Discussion Quizzes complete the group outputs
radicals radicals Recitation
- Operations on Presentation of Project/
radicals outputs Output -based
assessment
rubric
VII. The Coordinate 1. Identify the order 1. Students can classify one
Systems axioms for the real dimensional from two demonstration
- Order axioms for the numbers dimensional coordinate
real numbers 2. Describe the one- system 2 Critiquing of Discussion
- One-dimensional dimensional and two- meetings student
coordinate system dimensional coordinate 2. Acquire mastery in performance Quizzes
-Two-dimensional system finding the distance
coordinate system 3. Identify and apply the between two points using Recitation
- The distance formula distance and slope the distance formula
- The slope formula formulas to solve All students are expected to
problems 3. Students can solve the complete the group outputs
slope of a line using the
required formula

VIII. Functions and 1. Define and identify the 1. Students can

Relations domain and range of a differentiate functions from Quizzes
- Basic definitions given function relations as well as domain 1 Discussion Completion of individual and
- Domain and range 2. Graph the given and range meetings Recitation group outputs
- Graphical functions Group activities
representations of 3. Classify functions from 2. Show how a graph is Critiquing
functions and relations relations drawn given a particular
- Definition and graph linear function Individual
of linear functions outputs

IX. Solutions of 1. Identify different ways

Equations and of solving linear equations
Associated Word 2. Establish relationship 1. Students can prepare
Problems between the zeros and the output as application of 2
- Solutions of linear coefficients of quadratic solutions of linear and meetings Discussion Quizzes Participate in the generation of
and quadratic equations quadratic equations new knowledge about
equations 3. Solve systems of two Recitation mathematical system
- Relations between and three linear equations 2. Display mastery of the
zeros and coefficients 4. Solve systems of one skills in solving systems of Individual
of quadratic equations linear and one quadratic equations in two and three Outputs
- Theorems on roots of equation unknowns using different
equations methods.
- Systems of two and Portfolios
three linear equations
- Systems of one linear
and one quadratic
equation

X. Inequalities 1. Solve linear and Students can explain the

- Solving linear nonlinear inequalities proper procedures in
inequalities 2. Identify inequalities graphing solutions of Pair-share Quizzes
- Solving nonlinear with absolute values inequalities 1
inequalities 3. Graph solution of meetings Demonstration Recitation
- Inequalities with inequalities in two 100% of the students will show
absolute values variables Individual their competencies in solving
- Graphical solutions of Outputs inequalities
inequalities in two
variables

XI. Exponential and 1. Describe the

Logarithmic relationship between 1. Students can convert
Functions exponential and exponential equation to
- Exponential functions logarithmic functions logarithmic and vice versa 1 Quiz
- Logarithmic functions 2. Identify the properties meeting Discussion
of logarithmic functions 2. Display mastery in Recitation
3. Solve exponential and applying the different
 logarithmic equations properties of logarithm

1. State and illustrate an

XII. Variations and arithmetic progression
Progressions 2. distinguish sequences Show practical applications
- Variations in arithmetic progressions of arithmetic and geometric Completion of individual
- Arithmetic and solve for the unknown progressions 2 outputs
progressions using the sum and the last meetings
- Geometric term formulas
progressions 3. Solve practical
problems using arithmetic
progression
Recitation
Discussion
Individual
Group Activities outputs
D. Course Requirements
1. Attendance
2. Term projects (portfolio/Outputs)
4.. Term Examinations
5. Quizzes/ Long Tests/ Recitation

E. References

* College Algebra by Petillos, Trinitas Publishing

* College Algebra with Recreational Mathematics by Ymas Jr. et al, Ymas Publishing House

PREPARED BY:

MICHAEL A. FIGUEROA
Instructor