Outcomes-Based Teaching Learning Plan in Mathematics of Investment for BSED-Math Students in College

1. GOV. ALFONSO D. TAN COLLEGE
Bachelor of Secondary Education Major in Mathematic (BSED-Math)
Outcomes – Based Teaching and Learning Plan in ME 112
Alfonsos as Lux Mundi: Serving Humanity with Empowered Mind, Passionate Heart and Virtuous Soul
Course Title Mathematics of Investment Course Code Math 112
Credit Units 3 Course Pre-/Co-requisites College & Advanced Algebra
Course Description
(CM) # 75 s. 2017)
The course introduces students with a basic understanding of the applications of mathematical concepts and skills in economics, business
and accounting. It includes determining the time value of money using simple and compound interest and discounting, variation of annuitites,
amortization stocks and bonds, and sinking fund.
Institute Intended
Learning Outcomes
Graduates of BSEd programs are teachers who:
a. 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
environment
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)
At the end of this program, graduates will have the ability to:
a. Exhibit competence in mathematical concepts and procedures.
b. Exhibit proficiency in relating mathematics to other curricular areas.
c. Manifest meaningful and comprehensive pedagogical content knowledge (PCK) of mathematics.
d. Demonstrate competence in designing, constructing and utilizing different forms of assessment in mathematics.
e. Demonstrate proficiency in problem-solving by solving and creating routine and non-routine problems with different levels of
complexity.
f. Use effectively appropriate approaches, methods, and techniques in teaching mathematics including technological tools.
g. Appreciate mathematics as an opportunity for creative work, moments of enlightenment, discovery and gaining insights of the world.

2. Course Intended
Learning Outcomes
(CILO)
At the end of this course, the students should be able to:
a. list, discuss and differentiate all kinds of financial transactions on different interest rates, annuities, bonds, deprecation, general
annuity, and perpetuity
b. translate and apply theories and principles in mathematics of investment in local international setting
c. criticize, synthesize and formulate financial transactions, which are beneficial to potential investors
d. develop a work attitude of doing things correctly, honestly and independently
e. generate more interest in studying mathematics of investment as a primary tool of the Business profession
f. gain trust and confidence in expressing one’s ideas and view without fear of rejection
g. demonstrate mathematical skills in solving any problems on simple and compound interest and discounts, different kinds of annuities,
bonds, depreciation, general annuity and perpetuity
MIDTERM Essential Learning
Intended Learning Outcomes
(ILO)
Suggested
Teaching/Learning
Activities (TLAs)
Assessment
Tasks (ATs)Week Content Standards
Declarative
Knowledge
Functional Knowledge
1 – 4
Orientation
-Rationale
-Aims
-Objectives
-Course Outline
Demonstrate Understanding
in Simple Interest and
Simple Discount
Orientation on GADTC Mission,
Vision, Class Rules and
Regulations
Simple Interest and Simple
Discount
 Interest
 Ordinary and Exact Interest
 Approximate time and Exact
Time
 Methods of Computing
Simple Interest
 The 60-Day, 6% Method
 Present Value and Discount
 Bank Discount
 Relation Between Interest
rate and Discount rate
 Discounting Promissory
Notes
-introducing and discussing the
concept of interest
-discussing ordinary interest and
exact interest and explain their
differences
-discussing the approximate time
and exact time and explaining their
differences
-discussing the method of
computing simple interest and
citing some examples
-discussing The-60-Day, 6%
Method and giving examples
-discussing the present value and
discount and citing some examples
-discussing Bank discount and
citing some examples
-discussing the relationship
between interest rate and discount
rate and explaining their
connection
-discussing all about discounting
promissory notes and their steps
Compute interest from a given investment
Differentiate ordinary and exact interest and
explain their processes
Compute interest with approximate time and
exact time and differentiate their processes
Perform the method of computing simple interest
Use the 60-Day, 6% Method in computing interest
Determine the bank discount of a given bank
transaction
Compare and contrite interest rate and discount
rate and show their processes
Solve word problem involving discounting
promissory notes
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output
Demonstrate Understanding
in Compound Interest
Compound Interest
 Compound Interest
 Compound Amount
Formula
 Present Value
 Normal and Effectives
-discussing the concept of
compound interest
-discussing the compound amount
formula and giving examples
-discussing how to get the present
value
Compute for compound interest using the
compound amount formula
Calculate for the present of value of a given
investment
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output

3. Rates
 Instantaneous Conversion
 Compound Interest for Time
Beyond the Table Limit
 Use of Logarithms in
Computing for P and F
 Compound Interest for
Fractional Part of
Compounding Period
 Finding the Rate
 Finding the Time
 Equation of Values
-discussing the computation of
normal and effective rates
-discussing the process of
instantaneous conversion
-discussing the computation of
compound interest for time beyond
the table limit
-discussing the use of logarithms in
computing for P and F
-discussing the compound Interest
for Fractional part of compounding
period
-discussing how to find the rate
and the time
-discussing the equation of values
Differentiate nominal rate from effective rates and
compute for their values
Perform instantaneous conversion
Use the logarithmic function in computing the P
and F
Solve for the compound interest for fractional part
of compounding period
Find the rate and the time
Identity the equation of values from the given
time, principal amount and interest.
5 – 9
Demonstrate Familiarity in
Ordinary Annuities
Ordinary Annuities
 Definitions
 Amount of an Ordinary
Annuity
 Present Value of an
Ordinary Annuity
 Finding the Periodic
Payment
 Term and Interest rate of an
Ordinary Annuity
-discussing annuity and the
formula of the process of getting
the amount of an ordinary annuity
-discussing the formula and the
process in getting the present
value of an ordinary annuity
-discussing how to find the periodic
payment using a formula
-discussing the terms and interest
rate of an ordinary annuity
Compute for the amount of an ordinary annuity
using its formula
Solve for the present value of an ordinary annuity
Find the periodic payment using a formula
Explain the terms and calculate the interest rate
of an ordinary annuity
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output
Demonstrate Knowledge in
Special Annuities
Special Annuities
 Definition of Annuity Due
 Amount of Annuity Due
 Present Value of an Annuity
Due
 Periodic Payment of an
Annuity Due
 Term of an Annuity Due
 Rate of an Annuity Due
 Deferred Annuity
 Perpetuities
-defining annuity due and
discussing how to get its amount
-discussing the process of getting
the present value of an annuity due
-discussing the present payment of
an annuity due
-discussing and getting the term
and rate of an annuity due
-discussing the concept of deferred
annuity and perpetuities
Define annuity due
Solve for the amount of annuity due
Find the present value of annuity due
Compute for the term and the rate of an annuity
due
Explain the deferred annuity and perpetuities
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output

4. FINAL
10 – 14
Demonstrate
Understanding of
Amortization and Sinking
funds
Amortization and Sinking
Funds
 Amortization of a Debt
 Finding the Periodic
Payment and the
Outstanding Principal
 Owner’s Equity
 Amortization Schedule
 Amortization of a Bonded
Debt
 Amortization with Known
Regular Payments
 Repayment of the Debt by
the Sinking-Fund Method
 Comparison of Amortization
and Sinking Fund
-discussing the amortization of
Debt
-discussing how to find the periodic
payment and the outstanding
principal
-discussing the owner’s equity
-discussing the amortization
schedule
-discussing the amortization of
bonded debt
-discussing the amortization with
known regular payments
-discussing the repayment of the
debt by the Sinking Fund
-discussing the comparison of
amortization and sinking fund
Verify amortization of debt
Find the periodic payment and the outstanding
principal
Calculate the owner’s equity
Illustrate amortization schedule
Show illustration of amortization of bonded debt
and amortization with known regular payment
Compute for the repayment of the debt by the
sinking fund method
Compare amortization and sinking fund
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output
Demonstrate Understanding
of General Annuity
General Annuity
 Definition of General
Annuity
 Solving general Annuity
Problems
 Amount and Present Value
of a General Annuity
 Periodic Payment of a
General Annuity
-discussing the concept of annuity
-solving general annuity problems
-discussing the process of getting
the amount and present value of
general annuity
-discuss periodic payment of
general annuity
Define general annuity problems
Solve general annuity problems
Compute for the amount and present value of a
general annuity
Calculate periodic payment of a general annuity
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output
15-18
Demonstrate Familiarity in
Bonds and Valuation of
Bonds
Bonds and Valuation of Bonds
 Bonds
 Bond Valuation
 Amortization of Premium
 Accumulation of Discount
 Approximation of Bond
Yield
-discussing bonds and calculating
bond valuation
-discussing amortization of
premium
-discussing accumulation of
discount
-discussing the approximation of
Bond Yield
Explain the bonds
Calculate bond valuation
Solve for the amortization discount
Find the accumulation of discount
Determine the approximation of Bond Yield
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output
Demonstrate familiarity in
Depreciation
Depreciation
 Depreciation
 Methods of Determining
Depreciation
-discussing depreciation and the
methods of how it is determined
Explain depreciation
Define and elaborate the methods of determining
depreciation
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output

5. Demonstrate Familiarity in
Life Insurance
Life and Insurance
Life Insurance
9 Different Typesof Life Insurance
The Mortality Table
Insurance Terminologies
How to Determine the Premium
Commutation Functions
Types of Insurance Policies
-discussing the concept of life
insurance and its different types
-discussing the morality table and
insurance terminologies
-determining the premium
-discussing the process of
commutation function
-discussing the types of insurance
policies
Compare and contrast the different types of
insurance
Examine the morality table
Identify insurance terminologies
Determine the premium
Analyze commutation function
Define the types of insurance policies
Group Interactive
Lecture
Brainstorming
Think-pair share
Peer tutoring
Board Work
Evaluate Quiz
Group activities
Group Output
C
Basic Readings
Mathematics of Investment (2012). Bautista, De Lara, Gorospe et. Al
Extended Readings To be provided
Course Assessment As identifiedin the Assessment Task
Course Policies
LanguageofInstructions
English
Attendance
As identifiedin the student handbook
Homework,Quizzes,Written Reports,ReactionPapersand Portfolio
Special Requirement
GradingSystem
SummativeQuiz - 30%
SummativePerformance - 40%
PeriodicalExam - 30%
Total 100%
Classroom RulesandRegulations
Respect

6. Committee Members CommitteeLeader: Alemar C. Mayordo
Members : Elton JohnB. Embodo
ZarleneM.Tigol
Clint Joy Quije
RogielouP. Andam
MarkJoren Caberos
Consultation Schedule FacultyMember : EltonJohn B. Embodo
ContactNumber : 09107619989
E-mailaddress : eltonjohn439@yahoo.com
ConsultationHours:
TimeandVenue :
Course
Title
A.Y. Term of
Effectivity
Prepared by Checked by Noted by Approved by Pages
Mathematics
of Investment
2019– 2020 ELTONJOHNB.EMBODO,MAED
Instructor
ELTON JOHN B. EMBODO, MAED
Program Coordinator
ALEMAR C. MAYORDO, MAED
OIC-Dean, ITE
LOVE H. FALLORAN, Ph.D.
VP for Academics
6