division of monomials
TRANSCRIPT
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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