1. Department of Education
Region X
Division of BUKIDNON
KIBURIAO NATIONAL HIGH SCHOOL
Kiburiao, Quezon,Bukidnon
Teacher: Josephine M. Dormal Date : May 23, 2016
Designation: SST - II
Station: Kiburiao National High School
Kiburiao, Quezon,Bukidnon
Section: IIIA - Hyacinth
Lesson Plan on Exponential Functions in Reality
I.Learning Objectives:
At the end of one (1) hour session the students are expected to;
1.represent real-life situations using exponential functions;
Code: M11Gm – Ie – 2
2. do activity involving exponential function in real – life situations,
3. explain the importance of exponential function to real –life situations.
II. Learning Content/ Subject Matter:
A. Subject Matter: Exponential Functions in Reality
B. Reference:
https://www.sophia.org.concepts.exponential-function-in-the-
real-world
C. Materials : PPT, Marker, Paper
D. Strategies: 4A’s, ICT , Cooperative Learning,
III. Learning Activities / Procedures:
A. Preliminary Activities
Prayer
CRC
Checking of attendance
B. Review - Definition of Exponential Function
- Graph of Exponential function
C. Lesson Proper
1. Motivation -
In a mathematician’s point of view, why do you think people
wear mask?
2. 2. Presentation - Exponential Functions in real – life situation
- Objectives
3. Discussion – processing of available example
Example 1. Suppose there is a social networking website.
Every week, every member of the site recruits one more person to
join the site. If there are 10 members initially, graph the number of
members of the site versus time ( in weeks).
Representation of the x & y – values and the exponent.
x–values - no. of weeks
y–values- member recruits
Equation: y = 10 . 2t
First, we need to create a mathematical model for the
population.
If every member recruits a new member each week, the
population of the site doubles. Thus, each week, the population of
the site is multiplied by two. If there are ten initial members, our
model will be y = 10 * 2t. Let’s graph this function.
Tabulate
x(time) 1 2 3 4 5
y (10)(2)1=20 (10)(2)2=40 (10)(2)3=80 (10)(2)4=160 (10)(2)5=320
(x,y) (1,20) (2,40) (3,80) (4,160) (5,320)
Sketch graph
The population of the site is over 1000 people in just
over 6 weeks! Populations that grow exponentially are
very fast-growing.
Example 2. Say you take out a ₱10,000 loan at a 5% interest
rate. If the interest is compounded yearly, how much will you owe
after 10 years?
3. A. P = ₱10,000
R= 5 %
T = 10 years
P = P ( 1 + r ) t
= ₱10,000 ( 1 + 5 %)10
= ₱10,000 ( 1 + 0.05) 10
= ₱10,000 ( 1.05)10
= ₱ 16, 288
Example 3. A tennis tournament, single match, started with
64 participants with the winner of each match advancing to the
next round. Hence during each round, 50% of the players were
eliminated. Sketch the graph showing the number of players at the
end of each round.
4. Developmental Activities – group activity
Group activity:
1. Group yourselves into five.
2. Choose an LMNOP (leader, material, note taker,
overseer, presenter.
3. One problem to solve.
4. The first group to give the correct answer in the
shortest possible time will earn 20 points each.
5. Write answer on the designated group area on
the board.
The population of a certain insect grows by 2.5%
everyday. If there were 500 insects initially, what will be
their approximate population after 8 days?
Representation of the x & y – values and the
exponent.
I = I ( 1 + r )t
Tabulate
x 2 4 6 8
y 525.31 551.91 579.85 609.20
(x,y) (2, 525.31 (4, 551.91 (6, 579.85) (8, 609.20)
Sketch the graph
6. The first group to give the correct answer in the
shortest possible time will earn 20 points each.
7. Write answer on the designated group area on
the board.
4. 5. Synthesis/ Generalization –
A. summary-
a. How can a real –life situation be represented using the
exponential function?
b. What can you say about the flow of the graph?
B. feelings assessment
a. What does the flow of the graph implies?
b. How does it affect to the decision of network business
enthusiast?
c. If given the chance would you engage in this kind of
business? Why?
IV. Evaluation:
Direction: Read the problem and answer the following questions:
1. The population of a certain type of bacteria in a culture grows by 50%
every hour. If there are 4000 bacteria at the end of 4 hours,
approximately how many bacteria were there initially? Answer: 790
2. Which represent x- & y- values? The exponent?
3. How important is exponential function in our lives?
V. Remedial / Enrichment:
The population of EXP University is increasing at a rate of 150
students per year. If the population is 7000 today, what will be its population
in five years.
VI. Assignment:
1. Find any situation from web, community or anywhere showing exponential
function , tabulate the x & y-values & sketch the graph.
Prepared by:
JOSEPHINE M. DORMAL
SST – II
Noted:
ANGELITO C. SIERAS, HT III GLENMARK A. DAL
Regional Trainer Regional Trainer
Content Expert Content Expert
ROMEL E. HUERTAS , MAED.
EPS – I , Mathematics
NEAP 10 – Facilitator
Process Observation Assessor(POA)
5. Group activity:
1. Group yourselves into five.
2. Choose an LMNOP (leader, material, note taker,
overseer, presenter.
3. One problem to solve.
Representation of the x & y – values and the
exponent.
Tabulate
x
y
(x,y)
Sketch the graph
4. The first group to give the correct answer in the
shortest possible time will earn 20 points each.
5. Write answer on the designated group area on
the board.
Problem: The population of a certain insect grows by 2.5% everyday. If there
were 500 insects initially, what will be their approximate population after 8
days?
Evaluation:
1. The population of a certain type of bacteria in a culture grows by 50%
every hour. If there are 4000 bacteria at the end of 4 hours,
approximately how many bacteria were there initially? Answer: 790
2. Which represent x- & y- values? The exponent?
3. How important is exponential function in our lives?
Assignment:
1. Present any situation from web, community or anywhere showing
exponential function , tabulate the x & y-values & sketch the graph.
