South East Asian Institute of Technology, Inc.
NATIONAL HIGHWAY, BRGY. CROSSING RUBBER, TUPI, SOUTH COTABATO
Tel. No. (083) 226-1202
EMAIL ADDRESS: seaitinc@yahoo.com
A Semi-Detailed Lesson Plan in Grade 10 Mathematics
4A’s Method
I. OBJECTIVES
At the end of the discussion, the students should be able to:
a. illustrate what is conditional permutation of an object;
b. Solve problems involving conditional permutation permutations in real life.
II. SUBJECT MATTER
A. Topic: Conditional permutation (permutations of n objects)
B. References: Mathematics Learner’s module Grade 10 pp. 248-259
https://www.investopedia.com/terms/p/permutation.asp
C. Learning Materials: Visual aids
D. Grade level: 10
III. Learning Procedures
A. Preparatory Activity
A. Preliminary Activities
Prayer
The teacher asks one student to lead the prayer.
Greetings
The teacher greets the students.
Checking of attendance
The teacher checks and records the attendance of the
students.
Review
a. The teacher asks a student what was the lesson
yesterday.
b. The teacher ask volunteers to explain
Motivation
“Arrange my Order”
-The class will be divided into 4 groups.
-The teacher will give 4 cards with the letters of “M A T H”
In a 1 whole sheet of paper, the students will record all possible
arrangement of those 4 letters.
B. Lesson Proper
a) Activity
“Identify Me” (10-15 minutes)
The teacher will group the students into 4. Each
groups will be given bond papers and markers.
The teacher give a situation or word problems and
students need to identify if the given situation is
Linear, Circular, Distinguishable or Conditional
Permutation.
The groups that get the highest score will give a
plus points.
b) Analysis
The teacher will ask questions regarding the activity.
1) How did you identify the conditional permutation?
2) What have you notice in determining conditional permutation on
our activity?
3) What do you think is our topic for today?
c) Abstract
“CONDITIONAL PERMUTATION”
-it is the arrangement of objects that contains condition
Examples:
1.) There are 4 different math books and 5 different science
books, In how many ways can you arrange on a shelf if:
a.) books of the same subject must be placed together
b.) if they must be placed alternately
A.)
P(n,n) = n! Where; n=2
= 2!
P(4,4)= n!
= 4!
P(5,5) = n!
= 5
P = 2! . 4! . 5!
P= 5,760 ways
B.)
P(n,n) = n! where; n=4
P(4,4) = 4!
P(n,n)= n! where; n=5
P(5,5)= n!
P= 4! . 5!
P= 2,880 ways
2.) Four couples want to have their pictures taken. In how many
ways can arrange themselves in a row if couples must stay
together?
P(n,n) = n! where; n=4
P(4,4) = 4!
P(n,n) = n! where:; n= 2
P(2,2) = 2!
P= 4! . 2!
P = 48 ways
3.) In how many ways can a group of 8 students stand in a row if
three of them insist to stay together?
P(n,n)= n! where; n= 6
P(6,6)= 6!
P(n,n)= n! where; n=3
P(3,3) = 3!
P=6! . 3!
P= 4,320 Ways
d) Application
The teacher will give conditional permutation problems for
students to work on
The teacher will choose 6 students to answer problems on
the board.
1.) In how many ways can 6 students be seated in a row of 6
seats if 2 of the students insist on sitting beside each other?
2.) In how many ways can a group of 7 be arranged in a row if 3
insist to stay together?
3.) 5 friends go to a vacation trip: John, Mark, Chris, Paul and
Rick. How many ways can they be seated if:
A.) Chris, Paul and Rick insist on sitting beside each other?
IV. Evaluation
A. The teacher will ask the student to get one whole sheet of paper and
answer the following problems.
1.) There are 5 different math books and 5 different science
books, In how many ways can you arrange on a shelf if:
a.) books of the same subject must be placed together
b.) if they must be placed alternately
2.) Six couples want to have their pictures taken. In how many
ways can arrange themselves in a row if couples must stay
together?
3.) Six friends go to a movie: Al, Bob, Carl, Dan, Ed and Frank.
How many ways can they sit if:
A.) Bob and Frank want to sit together.
V. Assignment
In your activity notebook, create 1 situation or problem about conditional
permutation then answer the problem that you have created.
Remarks:
Prepared by:
CHRISTIAN JAY L. CASTILLO
Pre-service Teacher
Checked by:
Mrs. Manilyn E. Ciata
Cooperating Teacher
