This document outlines an outcomes-based teaching and learning plan for a Linear Algebra course. The plan summarizes the intended learning outcomes at the institute, program, and course level. It then outlines the weekly course content, teaching and learning activities, and assessment tasks to measure student understanding of matrices, systems of linear equations, vector spaces, and linear mappings. The plan also includes course policies, resources, assessment methods, and committee members who developed the plan.

1. 2nd Revision:EltonJohn B. Embodo
GOV. ALFONSO D. TAN COLLEGE
Bachelor Secondary Education major in Mathematics (BSEd-Math)
Outcomes – Based Teaching and Learning Plan in ME 111
Alfonsos as Lux Mundi: Serving Humanity with Empowered Mind, Passionate Heart and Virtuous Soul
Course Title Linear Algebra Course Code ME 111
Credit Units 3 Course Pre-/Co-requisites Logic & Set Theory
Course Description
(CMO #75 s. 2017)
This course provides a basic understanding of vector spaces, including the study of matrices, their properties and matrix
operations. It also covers the application of matrices in systems of linear equations and linear transformations.
Institute Intended
Learning Outcomes
(IILO)
Graduates of BSEd programs are teachers who:
a. Articulate the rootedness of education in philosophical, socio cultural, historical, psychological, and political concept
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 professional growth through varied experiential and field-based opportunities.
Program Intended
Learning Outcomes
(PILO)
At the end of this program, students will be able 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) Identify the types and perform the different operations of the matrices.
b) Apply the knowledge in Matrices for solving special types of problems in systems linear equations
c) Demonstrate skills in performing operations and process in vector spaces
d) Show competence in dealing with Linear Mappings and Transformation

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MIDTERM Essential Learning
Intended Learning Outcomes
(ILO)
Suggested
Teaching/Learning
Activities (TLAs)
Assessment
Tasks (ATs)Week Content Standards Declarative Knowledge Functional Knowledge
1-6
Demonstrate
Understanding on
Algebra of Matrices
Orientation on the Class
Rules, Mission and Vision
and Grading System
Algebra of Matrices
 Matrices
 Matrix Addition and
Scalar Multiplication
 Summation Symbol
 Matrix Multiplication
 Transpose of a Matrix
 Square Matrices
 Power of Matrices,
Polynomials in Matrices
 Invertible (Nonsingular)
Matrices
 Special types of Square
Matrices
 Complex Matrices
 Block Matrices
Discussing the process of Matrix
Addition, Scalar Multiplication and
Matrix Multiplication
Transposing a Matrix
Exploring the operations of
Square Matrices, Power of
Matrices, Polynomials in Matrices
Inverting Matrices
Explaining the special types of
Matrices
Exploring the process and
operations of Complex and Block
Matrices
Perform matrix addition, scalar
multiplication and matrix
multiplication
Transpose matrices
Perform the operations of square
matrices, power of matrices,
polynomials in Matrices, invertible
matrices and the special types of
matrices
Solve and simplify problems in
complex and block matrices
Oral Recitation
Group Discussion
Seatwork
Graded Oral
Recitation
Group Presentation
with Rubrics
Assignment
Quiz
7-9
Demonstrate
Competency in
Systems of Linear
Equation in Matrices
Systems of Linear
Equation in Matrices
 Basic Definitions,
Solutions
 Equivalent Systems,
Elementary Operations
 Small Square Systems
of Linear Equations
 Systems in Triangular
and Echelon Form
 Gaussian Elimination
 Echelon Matrices, Row
Canonical Form, Row
Equivalence
 Gaussian Elimination,
Matrix Formulation
 Matrix Equation of a
System of Linear
Equations
 Systems of Linear
Stating the definitions of terms in
matrices
Performing the elementary
operations
Differentiating systems of linear
equations per unknows
Reducing matrix to echelon form
Reducing echelon matrix to row
canonical form
Using gaussian elimination to
solve equations
Combining vectors and linear
equations
State the definitions of terms in
matrices
Perform the elementary operations
Differentiate systems of linear
equations per unknowns
Reduce matrix to echelon form
Reduce echelon matrix to row
canonical form
Use gaussian elimination to solve
equations
Combine vectors and linear
equations
Seatwork
Group Activity
Quiz
Assignment
Quarter Exam

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Equations and Linear
Combinations of
Vectors
FINAL
10-14
Demonstrate
Understanding on
Vector Spaces
Vector Spaces
 Vector Spaces
 Examples of Vector
Spaces
 Linear Combinations,
Spanning Sets
 Subspaces
 Linear Spans, Row
Space of a Matrix
 Linear Dependence and
Independence
 Basis and Dimension
 Application to Matrices,
rank of a Matrix
 Sums and Direct Sums
 Coordinates
Defining vector spaces and
discussing several examples
Discussing the process of linear
combinations in relation to
spanning sets of vectors
Discussing the subspaces of
vectors in a plane
Forming matrix of row spaces and
linear spans
Differentiating linear dependence
and independence
Discussing the application to
matrices, and rank of a matrix
Differentiating sums from direct
sums
Discussing coordinates
Solve problems involving vector
spaces
Perform the process of linear
combination and spanning sets
Solve problems of subspaces
Explore how linear spans and space
of a matrix work
Differentiate linear dependence and
independence by solving problems
Perform in solving problems in
application to matrices
Distinguish sums and direct sums by
performing the process of solving
problems
Illustrate how coordinates in Vector
works
Board work
Solution Presentation
Seatwork
Quiz
Presentation with
rubrics
Quarter Exam
15-18
Demonstrate
Understanding on
Linear Mappings
Linear Mappings
 Mappings, Functions
 Linear Mappings (Linear
Transformations)
 Kernel and Image of a
Linear Mapping
 Singular and Nonsingular
Linear Mappings,
Isomorphisms
 Operations with Linear
Mappings
 Algebra A(V) of Linear
Operators
Discussing the process of Linear
Mappings or Transformations and
Isomorphisms
Differentiating singular and
nonsingular linear mappings
Performing operations with linear
mappings
Performing algebra of linear
operators
Solve problems of Linear Mappings
or Transformations and
Isomorphisms
Differentiate singular and nonsingular
linear mappings
Perform operations with linear
mappings
Perform algebra of linear operators
Group Activity
Seatwork

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Basic Readings
Lipschutz S., & Lipson M., (2001).Theory and Problems of LinearAlgebra.McGraw-Hill.
Extended Readings Strang, G. (1988).LinearAlgebra and Its Applications,3d ed.Orlando,Fla.:Academic Press
Course Assessment RegularQuizzes,Activitiesand Periodical Examinations
Course Policies LanguageofInstructions
English
Attendance
 As identifiedin the student handbook
Homework,Quizzes,Written Reports,ReactionPapersand Portfolio
Special Requirement
GradingSystem
Summative Quiz– 30%
Summative Performance –40%
PeriodicalExam– 30%
Total 100
ClassroomRulesandRegulations
Must exercise Respectall the time
Committee Members CommitteeLeader : AlemarC. Mayordo
Members : Clint Joy M. Quije
Elton John B. Embodo
Fritzie Azuelo
Zarlene M. Tigol
Rogelou Andam
Alemar C. Mayordo
Consultation Schedule FacultyMember :
ContactNumber :
E-mailaddress :
ConsultationHours:
TimeandVenue :
Course
Title
A.Y. Term of
Effectivity
Prepared by Checked by Noted by Approved by Pages
Linear
Algebra
2019 – 2020 CLINT JOY QUIJE, LPT
Instructor
ELTON JOHN B. EMBODO, MAED
Program Coordinator
ALEMAR C. MAYORDO, MAED
OIC-Dean, ITE
LOVE H. FALLORAN, Ph.D.
VP for Academics
5

5. 2nd Revision:EltonJohn B. Embodo