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QUARTER I
Week 2 – Day 2
Subject: MATH
Grade Level: 8
Date:
__________________
Day 2
Content Standard
Demonstrates understanding of key concepts of rational
algebraic expression
Performance Standard
Is able to formulate real-life problems involving rational
algebraic expression
Competency
Illustrates rational algebraic expressions. M8AL-Ic-3
I. OBJECTIVES
Knowledge: 
Skills: 
Attitude: 
II. CONTENT
Identifies rational algebraic expression
Illustrates rational algebraic expression
Values the importance of rational expression in real
situation
Patterns and Algebra
III. LEARNING RESOURCES
A. References
1. Teacher’s
Guide Pages
2. Learner’s
Materials Pages
3. Textbook Pages
4. Additional
Materials
5. Learning
Resources (LR)
portal
B. Other Learning
Resources
Teacher’s Guide (TG) in Mathematics 8, 76 - 81
Learner’s Module (LM) in Math 9, pp. 66 - 81
Our world of Math 8, 31 - 33
Flash cards
Manila paper
EASE MODULE, Module 1, pp. 1- 7
IV. PROCEDURES
A. Reviewing or
presenting the new
lesson
ACTIVITY: MATCH IT TO ME!
Match the verbal phrase below to its mathematical
expressions.
1. The ratio of number x and four added by two.
2. The product of square root of three and the number y.
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3. The square of a added to twice the a
4. The sum of b and two less than the square of b
5. The product of p and q divided by three
Questions:
a. What did you feel while translating verbal phrases into
mathematical expressions?
Answer may vary
b. What must be considered in translating verbal phrases to
mathematical phrases?
Exp. Ans. Key word/s that corresponds to mathematical
operations.
B. Establishing a
purpose for the
lesson
C. Presenting
examples of the
new lesson
Based on the previous activity.
Ask:
1. Will you consider the mathematical expressions as
polynomial?
Ans. Yes
2. How will you describe a polynomial?
Ans. Polynomial is an expression consisting of
variables and coefficient.
3. Are all polynomials are expressions?
(teacher must lead the students the concrete answer)
“All polynomials are expressions but not all expressions are
polynomials”.
Teacher will introduce rational expressions.
Note: Let the learners identify which groups are rational or
not rational.
2m – 6 _
5m – 15
3x – 12
5x – 20
12k2
6k
_c4__
m-m
m+2
0
m+3
√2
1. What are your observations?
Answer may vary
2. How rational expressions differ from not rational
expressions?
Ans. Rational expressions differ from not rational in a sense
that the
numerator
is
not
equal
𝑃
to
zero. In
symbols:
𝑄
D. Discussing new
concepts and
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, where P and Q are polynomials and Q ≠ 0.
ACTIVITY: CLASSIFY ME!
Classify the different expressions below into rational
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practicing new
skills #1
E. Discussing new
concepts and
practicing new
skills #2
algebraic expression or not rational algebraic expression.
Write the expression into the appropriate column.
1. How many expressions did you place in the rational
algebraic expression column?
Ans. 6
2. How many expressions did you placed in the not rational
algebraic expression column?
Ans. 2
3. How did you classify a rational algebraic expression
from a not rational algebraic expression?
Ans. By looking the divisor
4. Were you able to place each expression to its
appropriate column?
Ans. Yes/No
5. What difficulty did you encounter in
classifying
the
expressions?
Answer may vary
ACTIVITY: Translate
Instructions: Write a rational expression for the following:
1. the quotient of 2x and y
2𝑥
Ans. 𝑦
2. the quotient of 4a + b and 2a –
𝑏
Ans. 4𝑎 + 2𝑎 − 5𝑎
3. the fraction whose denominator is 7 more than the
numerator n
𝑛
Ans.
𝑛+7
F. Developing Mastery
4. the average speed required to travel (x2 + 5)
kilometers in (x-3) hours
𝑥2+5
Ans. 𝑥−3
ACTIVITY: ILLUSTRATE ME!
Based on the activity above, let the learners illustrate their
answer on the board.
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Ask.
1.
G. Finding practical
applications of
concepts and skills
in daily living
H. Making
Generalizations
and abstractions
about the lesson
I.
Evaluating learning
1.
2.
3.
4.
5.
6.
7.
8.
9.
J. Additional
Activities for
application or
remediation
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How did you find the activity?
Answers may vary
2. What is/are the rational expressions formed?
Answers may vary
3. How did you illustrate rational algebraic
expressions?
ACTIVITY: Group Activity
Let the group cite one real situation that demonstrates the
concept rational algebraic expressions.
Support your answer.
(Answers may vary)
Guide Questions for Generalization:
 What is a rational algebraic expression?
Ans. is a ratio of two polynomials provided that the
numerator is not equal to zero.
 How rational algebraic expression illustrated?
Ans. In
symbols:
P/Q, where P
and Q
are
polynomials and Q ≠
0.
 How do you translate verbal phrases into mathematical
expressions?
Ans. Through finding key words that will corresponds to
mathematical operations.
INDIVIDUAL WORK
Determine whether each expression is rational or not.
1.
5ab
6y
Ans. Rational
2. 7ax2
Ans. Not rational
3. 8y-5
2
Ans. Rational
4. 2 - √2
X
5. 20 – d
10 – d
Ans. Rational
Ans. Rational
MY DEFINITION CHART!
Let the class complete the definition chart based on their
understanding about ration algebraic expressions.
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Note: Teacher can use additional activity for enrichment and
for remediation.
V.
VI.
REMARKS
REFLECTION
A. No. of learners
who earned 80% in
the evaluation
B. No. of learners
who require additional
activities for
remediation
C. Did the remedial
lessons work? No. of
learners who have
caught up the lesson
D. No. of learners
who continue to
require remediation
E. Which of my
teaching strategies
worked well? Why
did these work?
F. What difficulties
did I encounter which
my principal and
supervisor help me
solve?
A. ____No. Of learners who earned 80% in the evaluation.
B. ____No. Of learners who require additional activities for
remediation.
C. Did the remedial lessons work? ____No. of Learners who
have caught up the lesson.
D. ____No. of learners who continue to require remediation
Stragegies used that work well:
___Group collaboration
___Games
___Powerpoint Presentation
___Answering preliminary activities/exercises
___Discussion
___Case Method
___Think-Pair-Share(TPS)
___Rereading of Paragraphs/Poems/Stories
___Differentiated Instruction
___Role Playing/Drama
___Discovery Method
___Lecture Method
Why?
___Complete Ims
___Availability of Materials
___Pupil’s eagerness to learn
___Group member’s Cooperation in doing their tasks
___Bullying among pupils
___Pupil’s behavior/attitude
___Colorful Ims
___Unavailale Technology
Equipment (AVR/LCD)
___Science/Computer/Internet Lab
G. What innovation or
localized I used/discover
which I wish to share with
other teacher?
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ATTACHMENT
Note: This can be modified by the teacher.
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