Outcomes-Based Teaching Learning Plan in College and Advanced Algebra for BSED-Math Students in College

1. GOV. ALFONSO D. TAN COLLEGE
Bachelor of Secondary Education Major in Mathematics (BSED-Math)
Outcomes – Based Teaching and Learning Plan in ME 102
Alfonsos as Lux Mundi: Serving Humanity with Empowered Mind, Passionate Heart and Virtuous Soul
Course Title College and Advanced Algebra Course Code ME 102
Credit Units 3 Course Pre-/Co-requisites NONE
Course Description
(Based on the CMO No.
75 Series of 2017)
The course builds upon the students’ knowledge on properties of the real number system, operations on different types of algebra
expressions, and the solution of various types of equations and inequalities. The course also covers the prerequisites to trigonometry and
calculus, specifically transcendental and non-transcendental functions, including the characteristics of their graphs and applications.
Intended Learning
Outcomes (ILO)
BEED and BSED graduates will have the ability to:
Articulate the rootedness of education in philosophical, socio-cultural, historical, psychological, and political contexts.
b. Demonstrate mastery of subject matter/discipline.
c. Facilitate learning using a wide range of teaching methodologies and delivery modes appropriate to specific learners and their environments.
d. Develop innovative curricula, instructional plans, teaching approaches, and resources for diverse learners.
e. Apply skills in the development and utilization of ICT to promote quality, relevant, and sustainable educational practices.
f. Demonstrate a variety of thinking skills in planning, monitoring, assessing, and reporting learning processes and outcomes .
g. Practice professional and ethical teaching standards sensitive to the local, national, and global realities.
h. Pursue lifelong learning for personal and professional growth through varied experiential and field-based opportunities.
Program Intended
Learning Outcomes
(PILO) (Based on the
CMO No. 75 Series of
2017)
BSED-Mathematics graduates will have the ability to:
i. Exhibit competence in mathematical concepts and procedures.
j. Exhibit proficiency in relating mathematics to other curricular areas.
k. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics.
l. Demonstrate competence in designing, constructing and utilizing different forms of assessment in mathematics.
m. Demonstrate proficiency in problem-solving by solving and creating routine and non-routine problems with different levels of complexity.
n. Use effectively appropriate approaches, methods, and techniques in teaching mathematics including technological tools.
o. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world.
Course Intended
Learning Outcomes
(CILO)
At the end of this course, the students should be able to:
a. demonstrate knowledge, understanding, ability to use algebraic principles to analyze and solve problems;
b. appreciate the value of mathematical method as shown by using Algebraic Method in solving daily line problem;
c. gain considerable learning experiences on fundamental concepts in mathematics developed in a meaningful context;
d. deepen understanding of the many phases of mathematics and their applications to other branches of learning;
e. develop skills in mathematical operations and solving exercise;
f. acquire skills in problem solving, solving and graphing equations, evaluating and extending;

2. acquire and develop appropriate strategies in teaching advanced algebra;
MIDTERM Essential Learning
Intended Learning Outcomes
(ILO)
Suggested
Teaching/Learning
Activities (TLAs)
Assessment
Tasks (ATs)Week Content Standards
Declarative
Knowledge
Functional Knowledge
1-2
Demonstrate Understanding
of Sets and Numbers
Introduction and Orientation
1. Grading System
2. VMGO
3. School Policies, Rules and
Regulations
Sets and Numbers
- Concept of Sets
-Set Operation
-The Real Number System
-Properties of Real Numbers
-Discussing the Concept of Sets
-Performing the sets operations
-Defining and discussing the real
Number System
-Discussing the Properties of Real
Numbers and giving examples
-describe sets and cite examples
-perform the different operations of sets
-illustrate the real Number System
-define each property of real numbers and
construct various examples
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
(Jig Saw, Thinking Dots)
Evaluative Quiz
Group Performance
involving sets with
rubrics
Demonstrate Understanding
of Polynomial
Polynomials
-Definition of terms
-Addition and Subtraction
polynomials
-Multiplication and division of
polynomials
-defining the terms in Polynomials
-discussing the process in adding,
subtracting, multiplying and dividing
polynomials
-define each terms in Polynomials
-Add and subtract polynomials
-multiply and divide polynomials
Board Work
Think-Pair Share
Jig Saw
Cubing
Evaluative Quiz
Oral Recitation
Group Performance
involving sets with
rubrics
3
Demonstrate Competence in
Special Products and
factoring
-Special Products
-Factoring
-discussing each pattern in special
products
-discussing each pattern in factoring
-apply each pattern in performing special
products
-factor polynomials by using its pattern
Board Work
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Activity with
output
Demonstrate Understanding
in Rational Expressions
Rational Expressions
-Simplifying rational expressions
-complex factions
-discussing the process in simplifying
rational expressions
-discussing the process in operating
complex fractions
-simplify rational expressions
-operate complex fractions; add. Subtract,
multiply and divide
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
4
Demonstrate Understanding
in Exponents and Radicals
Exponents and Radicals
-Law of exponents
-Negative Exponents
-Fractional exponents and
radicals
-addition, subtraction,
multiplication and division of
radicals
-discussing the process of operating
the law of exponents and negative
exponents
-discussing the process in converting
fractional exponents into radicals
-discussing the processes in operating
radicals
-apply the laws of exponents in performing
algebraic expressions
-convert fractional exponents into radical
forms
-add, subtract, multiply and divide radicals
Board Work
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Activity with
output
Demonstrate Understanding
in Linear Equations and
Word Problems
Linear Equations and Word
Problems
-Definition of terms
-Translation of English phrases
into algebraic expressions
-Word problems involving one
-discussing the terms in linear
equations
-discussing the process in translating
English phrases into algebraic
expressions
-discussing how to solve word
-define the terms in Linear Equation
-translate English Phrases into algebraic
Expression
-Solve word problems involving one unknown
variable
Board Work
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Activity with
output

3. unknown problems involving one unknown
5
Demonstrate Understanding
in Systems of Linear
Equations
System of Linear Equations
-Systems of Linear
-Equation in two unknowns
-Systems of linear equations in
three unknowns
-Word problems involving one
unknown
-discussing the systems in linear
equations; consistent, independent and
inconsistent
-discussing the process in solving
linear equations in three unknowns
-discussing how to solve word
problems involving one unknown
-find the solution sets of systems of linear
equation
-solve systems of linear equation in two and
three unknown using algebraic methods
-solve word problems involving unknown
variables
Board Work
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Compilation of word
problems involving linear
equations in unknown
variables with complete
set of solutions
6
Demonstrate
Understanding in Quadratic
Equations
Quadratic Equations
-Method of Solving Quadratic
Equations
-Characteristics of roots
-Word Problems involving
quadratic Equations
-discussing the Methods in Solving
quadratic equations
-discussing the characteristics of roots
-explaining how to solve word problems
with quadratic equations
-solve Quadratic equation by factoring,
completing the square and quadratic formula
-explain the characteristic of roots of
quadratic equation
-solve word problem by using quadratic
equation
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Compilation of word
problems involving
quadratic equations with
complete set of solutions
Demonstrate Understanding
in Inequalities
Inequalities
-Typesand properties of
inequalities
-Solution set of inequalities
-discussing the types as well as the
properties of inequalities
-explaining the solution set of
inequalities
-define each type and property of inequalities
-find the solution set of inequalities
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group performance in
solving inequalities
7 Demonstrate Understanding
in Polynomial equations
Polynomial Equations
-Definition of terms
-The remainder theorem
-the Factor theorem
-Rational roots
-discussing each terms
-discussing the process of remainder
theorem
-discussing the process of factor
theorem as well as the rational roots
-define each term in polynomial equations
-solve equations using the remainder and
factor theorem
-explain and determine rational roots
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
-Evaluative Quiz
-Oral recitation
-Group performance in
solving polynomial
equations using
remainder theorem and
factor theorem
8 Demonstrate Understanding
in Proportion and Variation
Proportion and Variation
-Ratio and Proportion
-Principles of Variation
-Word Problems
-discussing the process in computing
ratio and proportion
-discussing the principles of variation
-solve the ratio and proportion
-apply the principles of variation in solving a
problem- *solve word problem involving
ration, proportion and variation
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group performance in
solving word problems of
ratio and proportion
9
Demonstrate Knowledge in
Binomial Theorem
Binomial Theorem
-Pascal’s Triangle
-Binomial Theorem
-discussing the process of Pascal’s
Triangle
-discussing the concept of binomial
theorem
-apply the concept of Pascal’s triangle in
solving mathematical problems
-use the binomial theorem in solving and
proving equations
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Concept Paper about
Binomial Theorem
10
Demonstrate Understanding
in Sequences and Series
Sequences and Series
-Arithmetic Progression
-Geometric Progression
-Word Problems
-discussing the process of Arithmetic
and Geometric Progression
-perform arithmetic progression
-apply the concept of geometric progression
-solve word problems involving Arithmetic and
Geometric Progression
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Performance in
solving problems
involving Arithmetic and
Geometric Progression
FINALS

4. 11
Demonstrate
Understanding in Functions
and Their Graphs
Functions and Their Graphs
-Meaning of Function
-Function Notation
-Operations on Functions
-Applications of Functions
-discussing the meaning of function
and its notation
-discussing the operations and
applications of functions
-define function
-illustrate function notation
-solve problems involving operations of
functions and their application
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Activity with
output
12 Demonstrate Understanding
in Linear Functions
Linear Functions
-Linear Function
-Two-Point Form
-Intercept Form
-Slope-Point Form
-Slope-Intercept Form
-Characteristics of the graph of a
linear function
-Application of Linear Function
-discussing linear function
-discussing the forms of linear function:
two-point, intercept, slope-point form.
-discussing the characteristics of the
graph of a linear function and its
application
-illustrate the forms of linear function
-solve problems involving the concept of
linear functions
-explain the application of linear function in
real life
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Activity with
output
13 Demonstrate Understanding
in Quadratic Function
Quadratic Function
-Quadratic Function
-Characteristics of the graph of
quadratic function
-Roots/Zeros of Quadratic
Functions
-Graphs of Quadratic Functions
-Forming Quadratic Functions
when Roots/Zeros are given
-Application of Quadratic Function
-discussing quadratic function and the
characteristics of its graph
-discussing the roots/zeros of quadratic
functions and its graphs
-discussing how to quadratic function
when the roots are given
-discussing the application of quadratic
functions
-describe the characteristics of the graph of
the quadratic function
- find the roots/zeros of quadratic functions
-graph the quadratic function
-form quadratic functions when roots/zeros
are given
-explain the application of quadratic function
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group Activity with
output
14 - 15
Demonstrate Understanding
in Polynomial Function
Polynomial Function
-Polynomial function
-The Remainder theorem
-The Factor theorem
-The Synthetic Division
-Graphs of Polynomial Function
-defining Polynomial function
-discussing the process of remainder
theorem
-discussing the process of factor
theorem as well as the process of
synthetic division
-discussing how to graph polynomial
function
-define polynomial function and its concept
-use the remainder theorem, factor theorem
and synthetic division in solving given
problems
-illustrate the graphs of polynomial function
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group performance in
graphing polynomial
function
16 – 18 Demonstrate Competence in
Exponential and Logarithmic
Functions
Exponential and Logarithmic
Functions
- The Exponential Function
- Characteristics of the Graphs of
Exponential Functions
-The Logarithmic Function
-Characteristics of the Graphs of
Logarithmic Functions
-Laws of Logarithms
-Natural Logarithms
-discussing exponential function and
the characteristics of its graphs
-discussing logarithmic function and the
characteristics of its graphs
-discussing the Laws of Logarithms
and the Natural Logarithms
-discussing the applications of
Exponential and Logarithmic Functions
in the modern world.
-solve problems involving exponential and
logarithmic functions
-graph the exponential and logarithmic
functions by considering their characteristics
-perform activities involving the Laws of
Logarithms and the Natural Logarithms
-cite situations where Exponential and
Logarithmic functions are put into application
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Group performance in
graphing solving
expressing using the
Exponential and
Logarithmic Function

5. -Application of Exponential and
Logarithmic Functions
19 - 20
Demonstrate Competence
Complex Numbers
Complex Numbers
-Algebraic Definition of Complex
Numbers
-The Concept of Complex
Number System and its Graphs
-Operations of Complex Numbers
-Application of Complex Numbers
in Problem Solving
-discussing the algebraic definition of
complex numbers
-discussing the concept of complex
number system and tis graph
-discussing the operations of complex
numbers and applications of Complex
number in problem solving
-solve expressions with complex numbers
-illustrate the concept of complex number and
its graphs
-perform the operations of complex numbers
-apply complex numbers in solving problems
Board Work
Group Activity with output
Brainstorming
Group Interactive Discussion
Evaluative Quiz
Oral recitation
Make a concept paper on
the importance and
applications of complex
numbers
Basic Readings Dayrit, B. C. (2002). Modern Algebra. Revised Edition. Rex Printing Company Inc., Quezon City.
Visco, S.B. and Silang L. R (2003). Modules in College Algebra, Great Books Trading. Philippines
Blitzer, Robert. (2010) Algebra and Trigonometry. 4th ed. Upper Saddle River, New Jersey: Pearson
Education, Inc.
Coburn, John W. (2010) Algebra and Trigonometry. 2nd ed. Boston: McGrawHill
Castillo, Leticia L.et al. (2008) College Algebra and Trigonometry. Mandaluyong City: National Book
Store
Extended Readings To be provided
Course Assessment As identifiedin the Assessment Task

6. Course Policies
LanguageofInstructions
English
Attendance
As identifiedin the student handbook
Homework,Quizzes,and Compilation
Special Requirement
GradingSystem
Quiz – 30%
Performance –40%
Exam – 30%
Total 100%
Classroom RulesandRegulations
Must Exercise Honesty all the time
Committee Members CommitteeLeader : Elton John B.Embodo
Members :
Consultation Schedule FacultyMember : EltonJohn B. Embodo
ContactNumber : 09107619989
E-mailaddress : eltonjohn439@yahoo.com
ConsultationHours: 8:00AM-5:00PM Wednesday
TimeandVenue : 8:00AM-5:00PM ITEOffice
Course Title A.Y. Term of Effectivity Prepared by Approved by Page/s
College and Advanced
Algebra
2018– 2019 Elton John B. Embodo, LPT
Instructor
Love H. Falloran, MSCrim, LLB
VP for Academics
6