Dlp Compound Interest

Republic of the Philippines Department of Education MIMAROPA Region SCHOOLS DIVISION OF ORIENTAL MINDORO

PUERTO GALERA NATIONAL HIGH SCHOOL Poblacion, Puerto Galera, Oriental Mindoro Email: [email protected] School

DAILY LESSON LOG

Teacher

PUERTO GALERA NATIONAL HS

Grade Level Learning Area

Mrs. Jennifer B. Magango

11 General Mathematics

September 18, 2019 Teaching Date and Time

7:00-8:00 9:00-10:00 11:30-12:30

11-Bourdain 11-Smith 11-Keller

Quarter

1:30-2:30 11-Einstein 2:30-3:30 11-Newton

First

I. OBJECTIVES A.

Content Standard

B.

Performance Standards

C.

Learning Competencies & Code

The learner demonstrates understanding of... 1. key concepts of simple and compound interests, and simple and general annuities. The learner is able to... 1. investigate, analyze and solve problems involving simple and compound interests and simple and general annuities using appropriate business and financial instruments. 1. Illustrate compound interests. M11GM-IIa-1 2. Compute interest, maturity value/future value, and present value in compound interest environment.M11GM-IIa-b-1

II. CONTENT

BASIC BUSINESS MATHEMATICS COMPOUND INTEREST

III. LEARNING RESOURCES 1. 2. 3.

A. References Teaching Guide Leaners’ Material/ Textbook Additional Materials from LR portal B. Other Learning Resources

pp. 159-198 pp. 126-152

IV. PROCEDURES A.

B.

C.

Reviewing previous lesson or presenting the new lesson

FIND MY PARTNER Match the terms in Column A with the correct definitions in Column B. Column A Column B  Principal A. time money is borrowed  Term B. amount paid or earned for the use of money  Interest C. percentage of increase of investment  Maturity Value D. amount of money borrowed or invested  Interest rate E. amount added by the lender, to be received on repayment date F. amount received on repayment date

Establishing a purpose for the lesson

In computing interest, how can we describe simple interest and how can it be computed? How do we solve for the final amount or maturity value in simple interest? Before presenting the lesson objectives, tell the students the following ideas.

Presenting examples/ instances of the new lesson

“In any business establishments, it is fundamental principle to pay an interest when it is due so that the interest will be used to earn more money. But very few banks today pay interest based on the simple interest formula. Instead, they pay interest by using a principle called compounding.” WHO’S RICHER? Pose the situation to the students 



Sam and Charles each save Php 100, but under different interest schemes. Sam earns 10% of his Php 100 savings multiplied to the number of years the money is invested. While, Charles earns 10% of his Php 100 for the first year, then on the second year 10% of his Php 100 and the interest it earned on the previous year. Help the two to complete the table of interest earned using Microsoft Excel Time (years)

1 2 3 4 5 6 7 8 9 10

Sam’s Savings after t years Principal Interest Amount in t I=Prt years (r=10%) (Maturity Value) F = P(1+rt)

100

Time (years)

1 2 3 4 5 6 7 8 9 10

Charles’ Savings after t years Principal Interest Amount in I=Prt t years (r=10%) (Maturity Value) F = P(1+rt)

100

  

D. E.

Discussing new concepts and practicing new skills #1 Discussing new concepts and practicing new skills #2

How much interest was earned by Sam and Charles? Which of the two earned more money at the end of 10 years? What do you think is the kind of interest applied to Sam’s savings? How about on Charles’ savings?  Therefore, what is compound interest? LET’s INVESTIGATE!  Investigate how the Maturity Value and Compound Interest can be expressed as an equation and computed.  Let students make their investigation from the table that showed Charles’ earnings.  Raise questions to help and guide students in conceptualizing the method of computing for the maturity value and compound interest.

Time (years)

Principal

1 2 3 4 5 6 7 8 9 10

100 110 121 133.1 146.41 161.05 177.156 194.871 214.358 235.795

Charles’ Savings after t years Interest Amount in t years Can be expressed as (r=10%) (Maturity Value) I=Prt F = P(1+rt)

10 11 12.1 13.31 14.641 16.105 17.716 19.487 21.436 23.579

110 121 133.1 146.41 161.051 177.156 194.871 214.358 235.795 259.374

𝐹1 = 𝑃(1 + 𝑟𝑡) 𝐹2 =

(Expected response: Compound interest is the interest earned from the principal and the interest earned from the previous period. The final amount or the compound amount is the accumulated value at the end of the term or period. It can be computed using 𝐹 = 𝑃(1 + 𝑟)𝑛 , Where n represents the no. of conversion periods. To identify the compound interest earned, it can be computed using 𝐼𝑐 = 𝐹 − 𝑃.) F.

Developing mastery (leads to Formative Assessment)

LET’s SEE!  Demonstration of computing for the maturity value and compound interest.  Allow learners to acquire the skill of solving for the maturity value and compound interest through board work activities. ILLUSTRATIONS: 1. Lina invested Php 15, 000 in Cardbank with 12% interest compounded annually. How much will she have in her account at the end of two years? 2. Mr. Bunquin borrowed Php 27, 000 for 3 years at a bank charging 8 % annual compound interest. How much interest would the bank earn from his loan?

G. Finding practical applications of concepts and skills in daily living

LET’s DO IT TOGETHER! Solve the given problems with your group. Present a clear and complete solution. 1.

2.

3.

4.

H.

Making generalizations and abstractions about the lesson

SUM IT UP! Lead the students in summarizing the lesson through asking the following questions. 1. 2.

I.

Evaluating learning

How can you describe compound interest? How is the maturity value and compound interest computed?

EVALUATE: Solve the problems below by applying what you have learned on compound interest. 1. 2.

J.

Harlene deposited Php 5, 000 in a bank paying 12% compounded annually. After 4 years, Harlene decided to close her account. How much money would she be able to get from the bank? Baby borrowed Php 12, 000 from Caloy which he charged 9% compound interest annually. She promised to return the money after 2 years. How much interest would Caloy earn from lending money to Baby? The Sangguniang Bayan members of your municipality passed an order allowing an increase of tricycle fare at 5% compounded annually. If the present fare is Php 10, what will be the fare after 10 years? Your school require all incoming Grade 7 to open an account in its partner bank paying 8% compound interest annually which will be withdrawn after graduation. How much should a student save to receive Php 1, 000 on his graduation

A person borrowed Php 24, 000 in a bank charging 12% interest compounded annually. How much would he pay at the end of 5 years? You are deciding on how much money to invest in bank paying 7.5% interest compounded annually so that after 3 years you will have Php 30, 000 in your account. How much would it be?

Additional activities for application or remediation

V. REMARKS VI. REFLECTION A. B.

No. of learners who earned 80% in the evaluation No. of learners who require additional activities for remediation

C. D.

E. F.

G.

Did the remedial lessons work? No. of learners who have caught up with the lesson. No. of learners who continue to require remediation. Which of my teaching strategies worked well? Why did these work? What difficulties did I encounter which my principal or supervisor can help me solve? What innovation or localized materials did I use/discover which I wish to share with other teachers?

Prepared by: JENNIFER B. MAGANGO SST – III Checked by:

Noted by:

BERNARD C. BUNQUIN, Ph. D. Assistant Principal II

VICTORINO B. AGELLON Principal I