lesson plan

1. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region 02
Division of Quirino
Maddela II District
BALLIGUI HIGH SCHOOL
Balligui, Maddela, Quirino
Grade: _10___ D A I L Y L E S S O N L O G
Subject/LearningArea MATHEMATICS MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
DATE February 5 6 7 8 9
I..Lesson Topic:
EQUATION OF A CIRCLE Illustration of
permutations
Permutations of N
objects, taken R at a
time
Permutations of N objects, taken
R at a time
SPECIAL NON- WORKING
HOLIDAY
Learning
Competencies/
Objectives (Write the
LC code for each)
-write equation of a
circle given its
center and radius,
then write its
general equation
The learner
illustrates the
permutation of
objects. (M10SP-IIIa-
1)
a. Illustrate the
permutation of
objects.
b. List the possible
ways a certain task
or activity can be
done
c. Appreciate
permutations as vital
part of one’s life.
The learner derives the
formula for finding the
number of permutations of
n objects taken r at a time.
(M10SP-IIIa-2)
a. Formulate the number
of permutation of n
objects taken r at a time.
b. Find the number of
permutation of n objects
taken at a time.
C. Appreciate permutations
as a vital part of one’s life.
List the possible ways a certain
task or activity can be done
Find the number of
permutation of n objects taken
at a time.
II..References
Teacher’s
Guide/Manual Page
Textbook/Module page
Learner Resource Portals

2. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region 02
Division of Quirino
Maddela II District
BALLIGUI HIGH SCHOOL
Balligui, Maddela, Quirino
Materials Used
III..Procedures
A. Preparation
Motivation/
Strategies to be
used
1. How do we write
the equation of a
circle when its center
is at (0,0)?
2. What about if the
center is at (h,k)?
Play a game that is
related to arrangement
Think-Pair-Share
Answer the following
with your seatmate.
1. You have 3 shirts and
4 pants. How many
possible outfits can you
have?
Set the mood of the
students before starting the
activity
B. Lesson Proper
A. From their answer
at question number 2,
relate the topic on
how we are going to
write the equation of
a circle given its
center and radius
B. Give examples and
let the students follow
and ask questions if
they were not able to
understand
C. board work
D. from the center
radius equation let
A. From the game
given let the students
give their ideas what is
the clue word for the
next lesson
B. Erna invited her
close friends Chona,
Mary Grace and Emilie
to her 18th birthday at
Patio Buendia in
Amadeo. She prepared
a special table with
chairs placed in a row
to be occupied by her
three friends
A. process the previous
activity
A. Instruction on what
to with the activity
B. Activity proper

3. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region 02
Division of Quirino
Maddela II District
BALLIGUI HIGH SCHOOL
Balligui, Maddela, Quirino
them recall their
previous lesson on
how they are going to
write it in general
form
1. List all the possible
seating arrangements.
2. How many ways
they can be seated in a
row
3. Show another way/s
of finding the answer
in item 1.
C. For personal
password in a
computer account, did
you know why a
shorter password is
“weak” while the
longer password is
“strong”?
D. From the activities
given, let the students
give their definition on
permutations
E. Discussion
Generalization
When do we say that
the equation of a
circle is already in
How do we define
permutation?
Cite some examples

4. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region 02
Division of Quirino
Maddela II District
BALLIGUI HIGH SCHOOL
Balligui, Maddela, Quirino
general form?
IV.Evaluation
THINK-PAIR-
SHARE
Cellular phone
networks use
towers to transmit
calls to a circular
area. On a grid of
a province, the
coordinates that
respond to the
location of the
towers and the
radius each covers
are as follows:
Wise tower is at ( -
5, -3 ) and covers
a 9 km radius;
Global tower is at (
3, 6 ) and covers a
4 km radius; and
Star tower is at
(12,-3) and covers
a 6 km radius.
a. What equation
Solve the following
problems individually.
1. In how many ways
can you place 9
different books on a
shelf if there is enough
space for only five
books? Give 3 possible
ways.
2. In how many ways
can
5 people arrange
themselves in a row for
picture taking? Give 3
possible ways.
Checking of the activity
Ask students what part of
the activity did they met
difficulties in answering and
what part is easy for them.

5. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region 02
Division of Quirino
Maddela II District
BALLIGUI HIGH SCHOOL
Balligui, Maddela, Quirino
represents the
transmission
boundaries of
each tower?
b. Which tower
transmits calls to
phone located at
( 12,2)? ( -6, -7)?
( 2,8 )?
( 1,3)?
V. ASSIGNMENT
What is the
general equation
of the circular
plate whose center
lies at ( 4, 8 ) and
which passes
through ( - 6, - 4 )
?
2. Study the
equation of a circle
given its radius
and point of
tangency with the
given line.
1. Follow-up: How
many numbers
consisting of 3 digits
can be made from 1, 2,
3, 4, 5, and 6 if
a. Repetition is
allowed
b. Repetition is not
allowed
2. Study permutation
of n objects taken r at
a time
Define Combination
How do we differentiate
combination from
permutation?

6. Republic of the Philippines
DEPARTMENT OF EDUCATION
Region 02
Division of Quirino
Maddela II District
BALLIGUI HIGH SCHOOL
Balligui, Maddela, Quirino
VI..Remarks
Number of learners within
mastery level
Number of learners needing
remediation/reinforcement
Intervention to be used
VII..Reflection
Head
Teacher’s/Principal’
s Note
Prepared By: Checked and Verified :
MARITESS DANGKEO-SANTOS IRENE A GULIQUEY
Teacher Head Teacher 1
Noted:
FERDIE B. MAXIMO
Head Teacher 1/ Officer In-Charge
Office of the Principal