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N! P!Q!R!

This lesson plan summarizes different kinds of permutations and their formulas. It includes activities to illustrate permutation formulas and apply them to real-world examples. Students will distinguish between identical and circular permutations and relate permutations to daily experiences. The lesson evaluates students' understanding of when to apply Rule 3 for identical permutations and Rule 4 for circular permutations.

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JJ Delegero Bergado
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83 views

N! P!Q!R!

This lesson plan summarizes different kinds of permutations and their formulas. It includes activities to illustrate permutation formulas and apply them to real-world examples. Students will distinguish between identical and circular permutations and relate permutations to daily experiences. The lesson evaluates students' understanding of when to apply Rule 3 for identical permutations and Rule 4 for circular permutations.

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 Grade 10

I. Objectives

At the end of the session, the students will be able to:


a. Distinguish when to use the different formulas of permutation.
b. Appreciate the importance of permutations in our daily lives
experiences; and
n!
c. Illustrate the formula;nPn= and P= ( n−1 ) !
p!q!r !

II. Subject Matter:

Topic: Different Kinds of Permutation


Material: Laptop, Projector, Chalk and Board
Reference: Mathematics Learners’ Module 10 – pp. 283-300.

III. Teaching Strategies:

A. Review
Direction: Determine what rule to use for the given table below.

Given Rule number


P(n=9, r=5)
P(n=1, n=5)
P (n=8, r=3)
P (n=15, n=13)
P (n=4, r=2)

B. Motivation

Guide Questions:
1. What factors did you consider when you answered what rule to
apply for each given?

C. Lesson Proper
1. Activity

Direction: Illustrate the given sentences in a mathematical


equation.

1. n taken n is equal to n factorial divided by p factorial


multiplied by q factorial multiplied by r factorial.

2. Permutation is equal to n minus 1 factorial.

2. Analysis

Direction: Observe the two out of four different kinds of


permutations and the formula needed for each problem.

Rule no. 3: The number of ways of arranging n objects of


which p, q, r, s, so on and so forth are the same kind.

n!
nPn=
p!q!r !

Rule no. 4: The number of arrangements of n distinct objects


around a circle.

P= ( n−1 ) !

Questions:

1. In how many ways can 6 people be seated at a round


table?

2. Find the number of distinguishable permutations of the


letters of the word PHILIPPINES.

3. Abstraction

 When can we use the identical permutation?


- Arranging same kind of objects.
 When can we use the circular permutation?
- When distinct objects are around a circle.

Values integration: How can we relate permutation in a real


life experience?

4. Application
Direction: State what rule is applicable to solve the problem and
illustrate the formula.

1. In how many ways can the letters of the word “GOOGLE” be


arranged?
2. There are 3 copies of Harry Potter and the Philosopher’s Stone, 4
copies of the Lost Symbol, 5 copies of The Secret of the Unicorn. In
how many ways can you arrange these books on a shelf?
3. If you consider 5 diamonds and you want to make a necklace.
How many permutations are there?
4. In how many ways can seven people be seated on a round
table?
5. In how many ways can you arrange the letters of the word
“FACEBOOK”?

IV. Evaluation

Direction: Check whether the following rules are Rule 3 and Rule 4.

Problem Rule 3 Rule 4


In how many ways can seven people
be seated in a round table?
In how many ways can the letters of
the word “GOOGLE” be arranged?
Find the number of distinguishable
permutations of the letters in the
word PHILIPPINES.
How many distinguishable
permutations exist for the letters in
the word TENNESSEE?
How many distinguishable
permutations exist for the letters in
the word MOLOPOLOK?

V. Agreement
Study more about the four different kinds of permutation.

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