School SANTIAGO INTEGRATED NATIONAL HIGH
SCHOOL
GRADE 11
Teacher KIMBERLYN A. GRANZO
DAILY LESSON
LOG
Teaching Dates and Time
Learning Area
November 7 –11, 2022
Monday and Wednesday
10:50 AM – 1:20 PM | 1:40 PM – 2:00 PM
2:00 PM – 3:30 PM | 5:20 PM – 6:50 PM
Friday, 11:30 AM – 6:40 PM
Day 1 (Nov. 7, 2022)
Grade Level 11
GENERAL
MATHEMATICS
Quarter 2nd
Day 2 (Nov. 9, 2022)
Day 3 (Nov. 11, 2022)
I. OBJECTIVES
1. Content
Standards
The learner demonstrates understanding of key concepts of simple and compound interests, and simple and general annuities.
2. Performance
Standards
The learner is able to investigate, analyze and solve problems involving simple and compound interests and simple and general
annuities using appropriate business and financial instruments.
3. Most Essential
Learning
Competencies/
Objectives

II. CONTENT
III. LEARNING
RESOURCES
A. References
1. Teacher’s
Guide pages
illustrates simple and compound interests.
M11GM-IIa-1
 distinguishes between simple and compound
interests. M11GM-IIa-2
 solves problems involving simple and
compound interests. M11GM-IIb-2
Simple and Compound Interests and Solving
Problems Involving Simple and Compound Interest


computes interest, maturity value, future value,
and present value in simple interest and
compound interest environment.M11GM-IIa-b-1
solves problems involving simple and compound
interests. M11GM-IIb-2
Interest, Maturity, Future, and Present Values in
Simple and Compound Interests and Solving
Problems Involving Simple and Compound Interest
Quiz Day
2. Learner’s
Materials pages
3. Textbook
pages
4. Additional
Materials from
Learning
Resource (LR)
portal
Isidro, J.D., Solano, I.P., Mariano, O.G. (2019).
DIWA Senior High School Series: General
Mathematics (2nd Edition). Makati City, Philippines:
DIWA Learning Systems Inc.
ADM-General Mathematics Quarter 2 - Module 1:
Simple and Compound Interests
Isidro, J.D., Solano, I.P., Mariano, O.G. (2019).
DIWA Senior High School Series: General
Mathematics (2nd Edition). Makati City, Philippines:
DIWA Learning Systems Inc.
ADM-General Mathematics Quarter 2 - Module 2:
Interest, Maturity, Future, and Present Values in
Simple
Match Me! Reveal Me!
Match the terminologies in column B to its definition
or statement in column A. Your answer should
reveal an important Filipino value that everyone
should possess.
Read and analyze the situation below.
Let’s Save
Janice and Jamaica are both senior high school
students. After class the two had a conversation:
Janice: Wow, your cellphone is so cool! Is that new?
Jamaica: Thank you! And yes, I just bought it
yesterday.
Janice: Did your mother give you money? What will
you do with your old cellphone?
Jamaica: No, I saved up my allowance to
accumulate enough money to buy this phone. I am
still using my old phone. I will use my new phone for
my social media accounts.
Janice: How much is that?
Jamaica: It is only ₱2,300 but it is already android so
I can download different applications like Tiktok,
Snapchat and games. Therefore, I will not be bored!
B. Other Learning
Resources /
Materials
IV. PROCEDURES
A. Reviewing
previous
lesson or
presenting the
new lesson
B. Establishing a How will you define interest in your own words?
purpose for the
lesson
Janice: Oh! We are almost the same, I also saved
₱2,300 (already) from my allowance.
Jamaica: What (do you plan) will you buy from your
savings?
Janice: My old cellphone is still working, so I think
there is no need for me to buy a new one. It will be
better if I save this money.
Jamaica: But your money might get lost if you will
not spend it?
Janice: I saw from an advertisement in Cooperative
Bank that the minimum amount to open an account
for students is ₱2,000, and they call it Kid Savers.
Jamaica: Is there an advantage if you put the money
on the bank?
Janice: According to the advertisement there will be
2.5% interest in a year. I will use it in my college
education.
1. What is the dialogue all about?
2. Do you think saving money is important? Explain
your answer.
2. Do you think it is wrong for Jamaica to buy a new
cellphone?
3. What can you say about Janice’s attitude towards
money?
4. How much will Janice save after two years?
5. How do you value education?
C. Presenting
examples/
instances of
the lesson
Definition of Terms
Lender or creditor - person (or institution) who
invests the money or makes the funds available.
Borrower or debtor - person (or institution) who
owes the money or avails of the funds from the
lender.
Origin or loan date - date on which money is
received by the borrower.
Repayment date or maturity date - date on which
the money borrowed or loan is to be completely
repaid.
Time or term (t) - amount of time in years the
money is borrowed or invested; length of time
between the origin and maturity dates.
Principal (P) - amount of money borrowed or
invested on the origin date.
Rate (r) - annual rate, usually in percent, charged
by the lender, or rate of increase of the investment.
Interest (I) - amount paid or earned for the use of
money.
Maturity value or future value (F) - amount after t
years that the lender receives from the borrower on
the maturity date.
Present value - value today for an amount of
money in the future.
Simple Interest ( 𝑰𝒔 ) - interest that is computed on
the principal. The interest remains constant
throughout the term.
Compound interest( 𝑰𝒄 ) - interest computed on
the principal and also on the accumulated past
interest, so compound interest is a way to earn
money because you don’t just earn using your
original money, but also the interest you earned.
Also to find the compound interest just deduct the
principal (P) from the computed future value (F) or
in expressions, 𝑰𝒄 = 𝑭 − 𝑷
Compound Interest: Compounding More Than
Once A Year
Definition of Terms
Frequency of conversion (m) - number of
conversion period in one year
Conversion or interest period - time between
successive conversions of interest
Total number of conversion periods (n)
n = mt = (frequency of conversion) 𝑥 (time in years)
Nominal rate (𝒊𝒎)
- annual rate of interest or interest rate per year
Rate (j) of interest for each conversion period
𝒊(𝒎)
𝒂𝒏𝒏𝒖𝒂𝒍 𝒓𝒂𝒕𝒆 𝒐𝒇 𝒊𝒏𝒕𝒆𝒓𝒆𝒔𝒕
𝒋=
=
𝒎
𝒇𝒓𝒆𝒒𝒖𝒆𝒏𝒄𝒚 𝒐𝒇 𝒄𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏
D. Discussing
new concepts
and practicing
new skills #1
Be hospitable and helpful, please!
Read and analyze each item and write the word
GENEROUS if your answer is true and write
HELPFUL if otherwise. These two words will
remind you of Filipino values, to be kind and
generous even in the most difficult situation if you
see someone on difficult (false) situation.
1. Simple interest is computed using the formula
Is = Prt.
2. Compound interest is computed on the principal
and also on the accumulated past interests.
3. An amount of ₱10,000.00 will yield more interest
if it is invested in a bank that offers a simple
interest of 10% annually than a bank that offers a
Activity 1 (Simple Interest)
Read each statement and answer the question that
follows.
1. If P = ₱4,500, r = 1.25% and t = 5 years, find the
simple interest.
a. What formula will be used?
b. How are you going to express the rate in decimal?
c. How much is the simple interest?
2. If P = ₱5,000, = 2% and t = 8 mos., find the
maturity value.
a. Which formula will you use?
b. How are you going to express the time in years?
c. How much is the maturity value?
E. Discussing
new concepts
and practicing
new skills #2
10% compound interest annually if it will be
invested for three years.
4. Compound interest works best over a short
period of time.
5. A borrower or debtor prefers compound interest
rather than simple interest.
6. In compound interest, the interest from the
previous years also earns interest.
7. It is better to deposit in a bank that offers simple
interest than a bank that offers compound interest.
8. Perma-debt decreases the amount of money
available on hand to spend in the future.
9. Simple interest computation will always be
based on the original principal.
10. The longer it takes for you to pay a debt the
smaller the interest you pay.
If you are planning to invest, which interest is
better? Compound interest or simple interest?
Explain your answer with example provided.
Activity 2 (Compound Interest)
Read each statement and answer the question that
follows.
1. If P = ₱85,500, and r = 1.25% compounded
monthly for 1 year, find the compound interest.
a. What is the first component that should be
computed?
b. What formula will be used?
c. How much is the maturity value?
d. How will you find the simple interest?
e. How much is the simple interest?
2. If F = ₱50,000 with the rate 1.5% compounded
quarterly for 5 years find the present value and
compound interest
a. Which should be find first present value or
compound interest?
b. How are you going to express the rate in decimal?
c. What formula will you use in finding the present
value?
d. How much is the present value?
e. How will you find the compound interest?
f. How much is the compound interest?
F. Developing
mastery
(Leads to Formative
Assessment 3)
Your father asked you about investment and
wanted to know the interest that will be earned if he
will invest ₱500,000.00 in a certain bank that offers
an annual compounding interest of 8% for 5 years.
Activity 3. Complete the table by finding the
unknown.
A.
B.
G. Finding
practical
applications of
concepts and
skills in daily
living
A couple with three children are peacefully living in
a barangay near the City proper. The husband is a
government employee while the wife is a rug
sewer. They always remind their children about
this: “Bilhin and kailangan at huwag kailanganin
ang hindi kayang bilhin”. Because of this teaching,
the children open a joint account to a certain
cooperative to have a better investment. The total
amount they earned in selling rugs, was put in their
account in the cooperative to help their parents.
Their total earnings amounting to ₱ 5,000.00 will
Earn an interest rate of 7.5% per year. Help them
to compute for the simple interest earned and
maturity
value, if their money will be invested in 3 years.
Money Matters (Performance Task)
Read and analyze the situation below then answer
the questions that follow.
Suppose you are a regular employee in a finance
company that offers a loan payable through salary
deduction. One of its privileges is availing a loan that
offers a 5% interest compounded annually for 1 to 5
years. You are thinking to apply for a loan but you
wanted to analyze if you can shoulder the monthly
payment. Make a loan schedule and fill up an
application form that will help you decide the amount
of loan that you will make.
H. Making
generalizations
and
abstractions
about the
lesson
Simple interest paid or received over a certain
period is a fixed percentage of the principal amount
that was borrowed or lent. Compound interest
accrues and is added to the accumulated interest
of previous periods, so borrowers must pay interest
on interest as well as principal.
Writing Synthesis Journal
Write a synthesis journal from the different activities
and discussion we had.
I.
Evaluating
learning
J. Additional
activities for
application or
remediation
1. Supposed that a local farmer wants to borrow
money from Landbank of the Philippines to start the
organic farming in his one (1) hectare of agricultural
land. The farmer needs ₱ 150,000.00 as start-up
capital. The bank offers him 10% interest rate
compounded annually. Compute for the total
James invested ₱150,000.00 at 2.5% interest
compounded semi – annually. Find the maturity
value if he invests for (a) 4 years? (b) 8 years? (c)
How much is the additional interest earned due to
the longer time?
amount to be paid every year for 5 years. Show
your answer in tabular form.
V. REMARKS
VI. REFLECTION
1. No. of
learners who
earned 80%
on the
formative
assessment
2. No. of
learners who
require
additional
activities for
remediation.
3. Did the
remedial
lessons
work? No. of
learners who
have caught
up with the
lesson.
4. No. of
learners who
continue to
require
remediation
5. Which of my
teaching
strategies
worked well?
Why did
these work?
6. What
difficulties did
I encounter
which my
principal or
supervisor
can help me
solve?
7. What
innovation or
localized
materials did I
use/discover
which I wish
to share with
other
teachers?
Prepared by:
Checked by:
Reviewed by:
Noted by:
KIMBERLYN A. GRANZO
Teacher II
CHERRY HILL A. CATCALIN
Teacher II/Key Teacher – Mathematics
JOHN RECK L. NIEPES
Teacher III/ SHS Coordinator
CECILIA C. PAPA, EdD
Principal II