Totoo Na To Promise Lesson Plan
Totoo Na To Promise Lesson Plan
Totoo Na To Promise Lesson Plan
I. OBJECTIVES
A. Content Standards The learner demonstrates understanding of key concepts
B. Performance Standards The learner is able to investigate, analyze, and solve problems involving compound interests.
computes interest, maturity value, future value, and present value in simple interest and
compound interest environment. (M11GM-IIa-b-1)
A. References https://sweetformula.fun/wp-content/uploads/2020/07/SHS-GENERAL-MATHEMATICS-TG.pdf
1. General Mathematics Grade 11 pp. 441 – 450
Senior High School Learner’s
Material
2. General Mathematics Senior High pp. 162 - 177
School Teacher’s Material
IV. PROCEDURES
Routine Activities Teacher’s Activity Student’s Response
1. Greetings “ Good morning Class, You may take your seat” “Good Morning Ma’am Abaroa”
Is the cost of borrowing money without accounting for the effects of compounding. In other
words, simple interest only applies to the principal amount.
A person deposits $5,000 in a bank account which pays 6% simple interest per year. Find the
value of his deposit after 4 years.
Allan takes a loan of Rs 10000 from a bank for a period of 1 year. The rate of interest is 10%
per annum. Find the interest and the amount he has to pay at the end of a year.
INTRODUCTION
Tine and Lydia each invest P10,000 for two years, but under different schemes. Tine earns 2%
of
P10,000 the first year, which is P200, then another P200 the second year. Lydia earns 2% of
P10,000
the first year, which is P200, same as Tine’s. But during the second year, she earns 2% of the
P10,000
[Tine just earns 2% of P10,000 but Lydia earns 2% of both the P10,000 and the previous
interest]
QUESTION:
Why is there a difference between the amount in Joy’s (P10,400) and Lydia's (P10,404)
respective accounts after two years?
EXPLAINATION:
Tine had simple interest while Lydia had compound interest
Compound interest is the 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.
r = interest rate
Ic = F – P
Many bank savings accounts pay compound interest. In this case, the interest is added to the
account
at regular intervals, and the sum becomes the new basis for computing interest. Thus, the
interest
The following table shows the amount at the end of each year if principal P is invested at an
annual
interest rate r compounded annually. Computations for the particular example P = P100,000
and r
multiplied by (1 + r). In other words, 1 + r is multiplied each time the year ends. This results in
the following formula for the amount after t years, given an annual interest rate of r:
C. Presenting examples
/Instances of the new EXAMPLE 1.
Lesson Find the maturity value and the compound interest if P10,000 is compounded annually
at an interest rate of 2% in 5 years.
Answer: The future value F is P11,040.81 and the compound interest P1,040.81
[Relate the procedure above to the illustration in finding compound interest under
Investment
2 in Lesson 1. INTRODUCTION]
EXAMPLE 2.
Find the maturity value and interest if P50,000 is invested at 5% compounded annually for 8
years.
Answer: The maturity value F is P73,872.77 and the compound interest is P23,872.77.
D. Discussing new concept
and practicing new skills
#1 EXAMPLE 3.
Suppose your father deposited in your bank account P10,000 at an annual interest
rate
of 0.5% compounded yearly when you graduate from kindergarten and did not get
the amount until
you finish Grade 12. How much will you have in your bank account after 12 years?
The present value or principal of the maturity value F due in t years any rate r can
be obtained from
the maturity value formula F = P(1 + r)^t
Solving for the present value P,
What is the present value of P50,000 due in 7 years if money is worth 10% compounded
annually?
Solution. . Given: F = 50, 000 r = 10% = 0.1 t = 7 years Find: P The present value P can be
obtained by
F. Finding practical
applications of concepts Reflect on this:
and skills in daily living Interest rates are to asset prices what gravity is to the apple. When there are low interest rates,
there is a very low gravitational pull-on asset price.
Find the unknown principal P, rate r, time t, and compound interest Ic by completing the table
VI. REFLECTION
Prepared by:
Noted by: