This document contains a semi-detailed lesson plan for teaching dividing rational expressions in Math 8. The lesson plan outlines intended learning outcomes, learning content including the subject matter and references, required materials, and learning experiences such as sample activities, analysis questions, and applications. It provides examples of dividing rational expressions and asks students to divide additional rational expressions as an evaluation of their understanding.

1. Republic of the Philippines
Department of Education
Region VII Central Visayas
Division of Cebu City
Quiot National High School
Bogo, Quiot, Cebu City
A Semi-Detailed Lesson Plan
In Math 8
___________________
Date of Teaching
____________________
Time of Teaching
Quiot National High School- Afternoon Session
Venue of Teaching
Prepared by:
LORIE JANE L. LETADA
Teacher 1
Observed by:
ELEANOR D. GALLARDO
ASSISTANT PRINCIPAL

2. I. Intended Learning Outcomes
Through varied learning activities, the grade 8 students with at least80 % ofaccuracy shall able to:
1. differentiate rational expressions from non-rational expressions
2. divide rational expressions
3. Relate dividing rational expressions in real life situation
II. Learning Content
A. Subject Matter
Dividing Rational Expressions
B. Reference
Diaz, Z., Mojica M. (2013) . Next Century Mathematics 8; Quezon City ; Phoenix
Publishing House , Inc; Mathematics 8 Learner’s Module K-12; DepEd K-12
Modified Curriculum Guide and Teacher’s Guide for Mathematics 8
http://www.mesacc.edu/~scotz47781/mat120/notes/rational/dividing/dividing.html#:~:text=Exam
ple%201%20%E2%80%93%20Simplify%3A-
,Step%201%3A%20Completely%20factor%20both%20the%20numerators%20and%20denominators
%20of,Cancel%20or%20reduce%20the%20fractions.
C. Materials
Learners’ Module; Google Classroom; powerpointpresentation; google forms
III. Learning Experiences
A. Activity
B. Analysis
1. How did you find the equivalentfractions in column A?
2. Do you think you can apply the same conceptin simplifying a rational
algebraic expression?
mmConnect to My Equivalent!

3. C. Abstraction
In dividing rational expressions, observe the same rules as when dividing fractions.
If the denominators are not equal to zero, then
Find the quotient of each rational expression.
1.
𝟐
𝟑
÷
𝟏𝟎
𝟗
2.
𝟒𝒙 𝟐
𝒚
𝟏𝟓𝒂 𝟑 𝒃 𝟐 ÷
𝟖𝒙𝒚 𝟐
𝟓𝒂𝒃 𝟑
3.
𝒓−𝒔
𝒓 𝟐− 𝒔 𝟐 ÷
𝒓+𝒔
𝒓 𝟐+ 𝟐𝒓𝒔+ 𝒔 𝟐
D. Application
Divide each rational expression and simplify.
𝟏.
𝟓
𝟏𝟐
÷
𝟏𝟖
𝟏𝟓
𝒂
𝒃
÷
𝒄
𝒅
=
𝒂
𝒃
∗
𝒅
𝒄
=
𝒂𝒅
𝒃𝒄
Step 1 :
Get the reciprocal of the
divisor and proceed to
multiplication.
2
3
÷
10
9
=
2
3
∗
9
10
Step 2 : Factor each expression
and cancel allcommon factors.
2
3
÷
10
9
=
2
3
∗
9
10
=
2
3
∗
( 3 )(3)
(5)(2)
Step 3 : Write what is
left
2
3
÷
10
9
=
3
5
Step 1 :
Get the reciprocal of the divisor
and proceed to multiplication.
𝟒𝒙 𝟐
𝒚
𝟏𝟓𝒂 𝟑 𝒃 𝟐
÷
𝟖𝒙𝒚 𝟐
𝟓𝒂𝒃 𝟑
=
𝟒𝒙 𝟐
𝒚
𝟏𝟓𝒂 𝟑 𝒃 𝟐
*
𝟓𝒂𝒃 𝟑
𝟖𝒙𝒚 𝟐
Step 3 : Write what is
left.
𝒙
𝟑𝒂 𝟐
*
𝒃
𝟐
=
𝒃𝒙
𝟔𝒂 𝟐
Step 1 :
Get the reciprocal of the divisor and
proceed to multiplication.
𝒓−𝒔
𝒓 𝟐− 𝒔 𝟐 ÷
𝒓+𝒔
𝒓 𝟐+ 𝟐𝒓𝒔+ 𝒔 𝟐 =
𝒓−𝒔
𝒓 𝟐− 𝒔 𝟐 ∗
𝒓 𝟐+ 𝟐𝒓𝒔+ 𝒔 𝟐
𝒓+𝒔
Step 2 and 3 :
Factor each expression and cancel all
common factors. Write, what is left.
𝒓−𝒔
𝒓 𝟐− 𝒔 𝟐 ÷
𝒓+𝒔
𝒓 𝟐+ 𝟐𝒓𝒔+ 𝒔 𝟐 =
𝒓−𝒔
(𝒓−𝒔)(𝒓+𝒔 )
∗
(𝒓+𝒔)(𝒓+𝒔)
𝒓+𝒔
𝒓−𝒔
𝒓 𝟐− 𝒔 𝟐 ÷
𝒓+𝒔
𝒓 𝟐+ 𝟐𝒓𝒔+ 𝒔 𝟐 = 1
Cancelation involving
rationalexpressions should
be applied carefully. In the
expression
2𝑥−3
𝑥−3
,youcannot
cancel x in the numerator
and denominator even
though
𝑥
𝑥
is equal to1
because it is not a factor of
2𝑥−3
𝑥−3
. 𝐼𝑛 𝑓𝑎𝑐𝑡,
2𝑥−3
𝑥−3
is already in simplest
form.
Write your solution here…

4. 𝟐.
𝟏𝟐𝒎 𝟐
𝟓𝒏 𝟐 ÷
𝟏𝟐𝒎 𝟑
𝟐𝟓𝒏 𝟑
𝟑.
𝒂+𝒃
𝒂−𝒃
÷
𝒂 𝟐
+𝒂𝒃
𝒂 𝟐−𝒃 𝟐
𝟒.
𝟗𝒅 𝟐
−𝟔𝒅𝒆+ 𝒆 𝟐
𝟐𝒅𝒆 𝟐 ÷
𝟑𝒅−𝒆
𝟔𝒅 𝟑 𝒆
IV. Evaluation
Find the quotient and simplify.
𝟏.
𝟏𝟓𝒂 𝟐
𝒃 𝟑
𝟏𝟔𝒙𝒚
÷
𝟑𝟎𝒃 𝟐
𝟖𝒙𝒚
= 4.
𝒙 𝟐
−𝒙−𝟐
𝒙+𝟑
÷
𝟐𝒙+𝟐
𝟑𝒙+𝟗
=
𝟐.
𝟕
𝟏𝟖
÷
𝟔
𝟗𝒂
= 5.
𝟑𝒘+𝟏𝟓
𝟏𝟎
÷
𝟏𝟐
𝟒𝒘+𝟐𝟎
=
𝟑.
𝟗
𝒎−𝟑
÷
𝟏𝟐
𝒎 𝟐−𝟗
= 6.
𝒙 𝟐
−𝟑𝒙−𝟏𝟖
𝒙 𝟐+𝟓𝒙+𝟔
÷
𝒙 𝟐
−𝟖𝒙+𝟏𝟐
𝒙 𝟐 −𝟒
=
V. Assignment
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