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Quarter II Algebraic Expressions, First-Degree Equations and

Inequalities in One Variable

I. Content StandardThe learner demonstrates understanding of the key

concepts of algebraic expressions.

!er"or#ance StandardThe learner models situations using oral,

written, graphical, and algebraic methods to solve problems involving

algebraic expressions.

Essential $nderstandings Algebraic expressions represent patterns

and relationships that guide us in understanding how certain problems

can be solved.

Essential Question Why are algebraic expressions useful?

II% &opic 'ono#ials

Subtopic Di(ision o" 'ono#ials

III% &eac)ing *earning Sequence

+% Explore

b!ectives" The teacher shall provide activities in which the

students will attain knowledge on

A. #xpressing $uotients of exponential expressions in expanded

form

%. &anipulating $uotients with respect to essential 'aw of

#xponents

(. The value of cooperation

Activity 1) *eview of &ultiplication of &onomials

+. -h

/h

0. -w0 1

0w

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-. 1g0h0

2gh0

/. 0v0 1

v- 1

0v

3. 4

04- 1

4/

5uestion" What are the rules in multiplying

monomials?

Activity 2) *eview of 6ivision of Integers

+. +0 7 /

0. +0 7 10

-. 123 7

103

5uestion" 8ow do we find the $uotient of Integers

that are like9unlike ) signed?

Activity 3) #xpansion of the 5uotient of #xponential

#xpressions

6irection" #xpand the following exponential

expressions

+.

0.

-.

/.

3.

Activity / ) 'aws on the 5uotient of #xponential

#xpressions

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6irection" The class shall be divided into 3 groups to

discover the 'aws on the 5uotient of #xponential

#xpressions.

:art +

Directions Obser(e and anale t)e gi(en table% .or/

our 0a "ro# le"t to rig)t% Ans0er t)e "ollo0ing questions

belo0%

; ; ; ; ; ;

; ; ;

;

; 0 ;

; ; ; ; ; ;

Question

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+. What have you observed with the bases of the numerator and

the denominator?

0. What happens with the numerical coefficients of the numerator

and the denominator?

-. In column +, what have you noticed with the value of the

exponent in the numerator compared to the value of the exponent

in the denominator?

/. In column +, what is the meaning of the

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1 1 1 1

Question

+. What have you observed with the bases of the numerator and

the denominator?

0. What happens with the numerical coefficients of the numerator

and the denominator?

-. In column +, what have you noticed with the value of the

exponent in the numerator compared to the value of the exponent

in the denominator?

/. In column +, what is the meaning of the . What should you remember when you have a negative

exponent?

:art -

Directions Obser(e and anale t)e gi(en table% .or/

our 0a "ro# le"t to rig)t% Ans0er t)e "ollo0ing questions

belo0%

; ; + ; ; ; +

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; ; 3 ; 3 ; 3 ; 3

; ; - ; ;

Question

+. What have you observed with the bases of the numerator and

the denominator?

0. What happens with the numerical coefficients of the numerator

and the denominator?

-. In column +, what have you noticed with the value of the

exponent in the numerator compared to the value of the exponent

in the denominator?

/. In column +, what is the meaning of the . What does it mean when the exponent of any number, except

, is 4ero?

2% Fir# $p

b!ectives" At this stage, the teacher shall guide

students in settling developed knowledge in

A. The process of dividing monomials with

respect to

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a. @imilar bases

b. Application of law of exponents

%. enerali4ing concepts in words and

symbols

(. btaining accuracy in answering

#xamples" Assuming no variable is e$ual to 4ero.

+.

0.

-.

/.

Activity 5) 6ivision of &onomials roup Work

6irections" The class shall be again divided into 3

groups which they shall answer the following

$uestions. After they have answered, a

representative shall explain their work pointing out

the 'aw of #xponent which the item falls under.

+.

0.

-.

/.

3.

5uestion" What are the rules to be followed in

dividing monomials?

Activity 6) 6ivision of &onomials Individual

:art A.

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:art %.

:art (.

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:art 6.

3% Deepen

b!ectives" Activities in this stage shall provide

opportunity for the learner to reflect, revisit,

revise, and rethink about a variety of experiences

such as

A. The correct process of dividing monomials

with respect to

a. @imilar bases

b. Application of law of exponents

%. :ossible misconceptions of other

intertwined concepts like addition and

subtraction of monomials, and exponents.

Activity 7) &atching Type

6irections" &atch column A to column %, if

possible. Write the letter of your answer on the

space provided before each number.

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A 4

BBB+.

BBB0.

BBB-.

BBB/.

BBB3.

a .

b.

c.

d.

e.

Activity 8) 6ecoder

6irections" @implify each expression. Assume that

no divisor e$uals 4ero. Cind your answer andnotice the letter next to it. Write each letter in

each box containing the number of that item.

What game do cannibals play at

parties?

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+.

0.

-.

/.

3.

>.

2.

D.

E.

+.

' 3x2+ 5 5 4x2+x

O 2x 7 * 5x3y+x2y2-2xy3

C 6x2+3x

E 4x3

9x2A 3x + 5 6 5x

3+ 4x 6

D -x2+3xy-y2 S 2x

2-x-6

6 9x - 25 V 2x + 3 7 2x2

+ 3y+ x .

3y3

-4xy-! & 3y3

+2x+5x3

Answer"

8 9 2 +: +: ; 9 < + = +: = 2 > =

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Activity 9) True or Calse

6irections" *ead the statements carefully. If the

statement is correct write true on the space

provided before the number. If the statement is

false, rewrite the statement to make it true.

BBBBB+. Cor every positive integer m, and n, and

x;

BBBBB0. If the exponent of the numerator is smaller

than that of the denominator,

find the $uotient as follows"

BBBBB-. If the exponent of the numerator and

denominator are e$ual, the $uotient

is +.

BBBBB/. If the exponent of the numerator is greater

than that of the denominator,

find the $uotient as follows"

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BBBBB3. To find the $uotient of monomials,

multiply the numerical coefficients then

divide the literal coefficients applying

the necessary laws of exponents.

;% &rans"er

b!ectives" At this stage, the teacher should

provide activities that will concreti4e learnerFs

understanding of the concept in

a. 6ivision of &onomialsG

b. @olve problems involving division of

monomials in the processG and

c. Hournal significant understanding about the

lesson.

Activity 10) :roblem @olving

6irections" @olve the following problems

systematically.

+. The s$uare area of a rectangle is s$uare

feet. *epresent the length of the rectangle if its

width is feet.

0. The area of the barangay pla4a is +0 s$uare

meters. What are the possible dimensions of the

barangay pla4a? Write each pair of dimensions as

a product of length and width.

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-. #xpress the height of a &r. :ringles can if the

maximum volume it can contain is . se the

illustration below.

-x

se the formula

Activity 11) Hournal Writing

6irections" @uppose you shall have a class

newspaper and you are tasked to write in the

recreations column. Write an article that will

answer the $uestion

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'repared by(

)s& *i%alie +& 'orto

,hec-ed +y(

)rs& Armina A& )anahan

.oted +y(

)rs& "dna 'angilinan