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This lesson plan aims to teach students about permutations. It includes objectives, subject matter, teaching strategies, and evaluation. The objectives are to define permutation, appreciate its importance, and illustrate the formulas for factorial permutations and factorial combinations. The teaching strategies include reviewing factorials, motivating examples, lessons on different kinds of permutations and their formulas, and applications. The evaluation asks students to write the correct formula for different permutation problems.

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JJ Delegero Bergado
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77 views3 pages

LP1

This lesson plan aims to teach students about permutations. It includes objectives, subject matter, teaching strategies, and evaluation. The objectives are to define permutation, appreciate its importance, and illustrate the formulas for factorial permutations and factorial combinations. The teaching strategies include reviewing factorials, motivating examples, lessons on different kinds of permutations and their formulas, and applications. The evaluation asks students to write the correct formula for different permutation problems.

Uploaded by

JJ Delegero Bergado
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Lesson Plan in Mathematics 10

I. Objectives
At the end of the period, the students will be able to:
a. Define permutation
b. Appreciate the importance of permutation in our daily lives
n! n!
c. Illustrate permutation nPn= and nPr= .
( n−n ) ! ( n−r ) !

II. Subject Matter


Topic: Different Kinds of Permutation
Material: Laptop, Projector, Chalk and Board
Reference: Mathematics Learner’s Module 10, pp. 283-300

III. Teaching Strategies


A. Review
Direction: Complete the table by performing the factorials given.

Factorials Factorial Simplified Form


9!
5!
11! 5!
( 8−2 ) !
3!
15 !
8 !− (34 ) !
( 4−2 ) !

B. Motivation
Guide Question:
9!
1. What did you get in performing ?
5!
8 !− (34 ) !
2. How about ?
( 4−2 ) !

C. Lesson Proper
1. Activity
Direction: Illustrate the given sentences in a mathematical equation.

1. n taken r at a time is equal to n factorial divided by n minus r factorial


2. n taken n at a time is equal to n factorial divided by n minus n factorial.
2. Analysis
Direction: Observe the two out of four different kinds of permutations and
write the formula needed for each problem.

Rule no. 1: The number of permutations of n distinct objects arranged at the


same time.
n!
nPr=
( n−n ) !
Rule no. 2: The number of possible objects taken r at a time.
n!
nPn=
( n−r ) !
Questions:
1. We have 5 passengers and there were only 3 vacant seats. In how many
ways can we arranged the 5 passengers?
2. In how many different integral numbers may be express by writing the 5
significant digits in succession, each figure to be taken once, and once in each
number?

3. Abstraction
 What is a permutation?
- Arrangement number
- Order
- The number of permutation on a set of elements is given by
factorial.
 What is the condition of n and r in permutation?
- n greater than or equal to r.

Values Integration: What is the importance of permutation in


our daily lives?

4. Application

Direction: State what rule is applicable to solve the problem and


illustrate the formula.

1. The number of ways to arrange 23 different objects.


2. How many ways can 4 members of the family be seated in a theatre if the
mother is seated on the aisle.
3. There are 720 ways for 3 students to win first, second, and third place in a
debating match. How many students were competing?
4. In how many ways can the letters W, X, Y, and Z be arranged in a row?
5. Number of ways to arrange 5 students from 8 students.
IV. Evaluation
Direction: Write the formula needed to solve the following problems.

1. P(n=6,n=6)
2. P(n=7,r=2)
3. P(n=10, r=5)
4. P(n=2,r=2)
5. P(n=9,n=3)

V. Agreement
Study the circular permutation and identical permutation.

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