Republic of the Philippines
Department of Education
MIMAROPA Region
Division of Occidental Mindoro
MAPAYA NATIONAL HIGH SCHOOL
Mapaya 1, San Jose, Occidental Mindoro
School ID: 301589
DAILY LESSON LOG
School
Teacher
Teaching Date
and Time
Mapaya National High School
Amy F. Gabay
October 15, 2019
3:00- 4:00
Grade Level 8
Learning Area Mathematics
Quarter 2nd
I. OBJECTIVES
A. Content Standard
B. Performance Standard
C. Learning Competencies/
Objectives
II. CONTENT
III. LEARNING RESOURCES
A. Reference
B. Other Learning
Resources
The learner demonstrates understanding of key concepts of logic and reasoning.
The learner is able to communicate mathematical thinking with coherence and clarity in
formulating and analyzing arguments.
Transform a statement into an equivalent if-then statement.
M8GE-IIf-2
If- then Statements
Mathematics Learner’s Module, pp. 321- 324
http://www.mathgoodies.com/lessons/vol9/conditional.html
https://www.mathplanet.com/education/geometry/proof/if-then-statement
IV. PROCEDURES
A. Reviewing the previous
lesson or presenting the
new lesson
B. Establishing a purpose
for the lesson
C. Presenting
examples/instances of
the new lesson
D. Discussing new concepts
and practicing new skills
# 1,
Laptop, Projector, visual aids
Prayer: Everybody stand and let us pray. Ivan, kindly lead the prayer.
Good afternoon everyone. Before you take your seats, kindly check your
chairs’ alignment and clean those mess under your chairs”
Checking of attendance
Identify the hypothesis and conclusion in the statement:
“If you are a grade 8 student, then you are a sophomore.”
Buy ONE,
take ONE.
1. Where did you usually see that phrases?
2. What happen if you buy?
3. Can I take 1 easily, without buying one?
4. Can we make this statement into if then statement?
There are some statements not written in if then form but you can rewrite them into
conditional statement.
Illustrative example.
Cigarette smoking is dangerous to your health.
Hypothesis: Why will your health became danger? (answer is the hypothesis)
Conclusion: What happen if you smoke cigarette? (answer is the conclusion)
p - smoking cigarette
q - dangerous to your health
p -> q - if a person smoke cigarette, then he/she will be having dangerous health.
By Group ->> Try this! Determine the hypothesis and conclusion of the given
statement.
1. The product of two negative integers is always positive.
p:
q:
2. A segment has exactly one midpoint.
p:
q;
3. Two vertical angles are always congruent.
p:
q:
if p→ then q
4. x+3=4, x=1
p:
q:
E. Discussing new concepts
and practicing new skills
#2
F. Developing mastery
(Leads to Formative
Assessment 3)
G. Finding practical
applications of concepts
and skills in daily living
5. The sum of complementary angles is 90 degree.
p:
q:
After determining the hypothesis and conclusion in previous activity, we are now going
to combine them by putting if and then.
e.g.
1. p: two numbers are negative integers
q: the product of two negative integers is always positive.
if p→ then q: If two numbers are negative then their product is always positive. (take
note about noun and pronoun).
2. if p→ then q
3. if p→ then q
4. if p→ then q
5. if p→ then q
By Pair: Try this!
Vertical angles are congruent.
p: line m and n do not intersect
q; line m and n are parallel lines.
if p→ then q
p: if a Filipino is 18 year old
q: a Filipino has right to vote.
if p→ then q
3. p: angle m and angle n are adjacent and supplementary.
q: angle m and n are linear pair.
if p→ then q
p: angle p and angle q are linear pair
q: angle p and angle q are supplementary
if p→ then q
Oral: Change the following in if then statement:
1. Smile, can start a friendship.
2. Everything on the internet is not always true.
3. Smart teen ager obeys his teacher.
4. x+34=4, x=-30
5. Vertical angles are congruent.
H. Making generalizations
and abstractions about
the lesson
What is the importance of transformation?
An if-then statement is composed of two clauses: the if-clause and the then-clause.
We can denote a letter for each clause, p for the if-clause and q for the then-clause.
The statement is in the form, “If p then q”.
Conditional statements are formed by joining two statements p and q using the words
if and then. The p statement is called the hypothesis and the q statement is called the
conclusion.
I.
Evaluating learning
Transform the following statements into if then statement:
1. NDRRC volunteers are busy during calamities
2. An 18 year-old Filipino can cast his/her vote during election.
3. All right angles are congruent.
4. Three non-collinear points determine a plane.
5. Perpendicular lines are intersecting lines.
J. Additional activities for
application or
remediation
Complete the statement. (Oral).
Today, I learned that …….
V. REMARKS
VI. REFLECTION
A. No. of learners who earned
80% in the evaluation
B. No. of learners who required
additional activities for
remediation
C. Did the remedial lessons
work?
D. No. of learners who
continue to require remediation
E. Which of my teaching
strategies work well? Why did
this work?
F. What difficulties did I
encounter which my principal
or supervisor can help me
solve?
Prepared by:
AMY F. GABAY
Teacher I
Noted:
JESSIE T. ECHIVARRE
Principal III