The document summarizes a Grade 8 mathematics lesson on if-then statements. The lesson included the following: 1. Students reviewed linear functions from the previous lesson and completed a drill on basic math problems. 2. They participated in a motivation activity where they analyzed pictures in pairs and explained the relationships using if-then statements. 3. The teacher explained that an if-then statement has two clauses - a hypothesis (if clause) and conclusion (then clause). Students practiced writing statements in this form using more picture examples.

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GRADES 10
DAILY LESSON LOG
School: Romblon State University - SFC Grade Level: Grade 8
Teacher: John Michael Perez Learning Area: Mathematics
Teaching Dates and Time: November1 6, 2022 / 8:00 – 9:00 A.M. Quarter: Second Quarter
I. OBJECTIVES
A. Content Standards The learner demonstrates understanding of key concepts of logic and reasoning.
B. Performance Standards
The learner is able to communicate mathematical thinking with coherence and clarity in formulating and analyzing
documents.
C. Learning Competencies/
Objectives
The learner:
1. Determines the relationship between the hypothesis and the conclusion of an if-then statements. M8GE-IIf-1
2. Transforms a statement into an equivalent if-then statement. M8GE – IIf - 2
II. CONTENT
Subject Matter: Reasoning
Topic: If – Then Statements
Instructional Materials: laptop, LED TV, manila paper, felt tip pen, scotch tape, chalkboard,
chalk, picture, colored paper, and eraser
Approach: Cooperative and Discovery Learning
Integration: Creativity, collaboration, resourcefulness and critical thinking
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Material pages Grade 8 Mathematics Learner’s Material Page 323
3. Textbook pages Mathematics Learner’s Module 8 pp. 9 – 15
4. Additional Materials
from Learning Resource
(LR) portal
Module: Department of Education – Division of Gingoog City
B. Other Learning
Resources
IV. PROCEDURES

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Teacher’s Activity Student’s Activity
A. Preparatory Activities
1. Drill
2. Review
1. Prayer
2. Greetings
3. Checking of Attendance
4. Kamustahan
For you to remember past lessons, I will give you first a drill, this is only
a basic math, for you to answer, you can answer me orally. Are you
ready?
Any volunteer?
1. 1 + 5 – 3 =
2. ½ + 3/2 =
3. 6 – 2 x 3 =
Very Good!
Last time we discussed all about linear functions. Can you define linear
functions?
Very will said!
1. The standard form of linear equation is ax + by = c, where a, b, and c are real
numbers, and a and b are not both zero.
2. Linear function can be defined by f(x) = mx + b, where m is the slope of the
line and b is the y – intercept.
Yes Sir!
6, 3
4/2 or 2
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A function is a linear function if and only if its
equation can be written in the form y = mx + b or f(x)
= mx + b, where m is the slope and b is the y-
intercept of the line. The graph is a non-vertical
straight line.

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3. Motivation
3. The graph of a linear function is a straight line.
4. The graph can be drawn if the following are given:
• any two points
• x and y- intercept
• slope and any one point
• slope and y-intercept
Let us first have a motivation for you to answer.
Our first activity is, Find my partners!
Activity 1: Find my Partners!
Direction: Group yourselves into four, select two members in each group
to explain. From the eight pictures that I will give to you. Choose one pair
of pictures or two pictures and explain why you chose those pictures. I
just give you two minutes to pick and study, and have 2 minutes each to
explain. All in all you have 9- 10 minutes to finish this
activity.

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4. Presentation and
discussions1:
Are you ready!
(Teacher will put the 8 pictures on the table and set an alarm to start and
end the game)
(After 1 minute)
for 2 minutes each
Teacher will listen to the group explanation)
From your grade 7 lessons on health (H7DD-IVb-d-25) you have to explain
noncommunicable diseases based on cause and effect, signs and symptoms, risk
factors and protective factors and possible complications, whom your classmates
explained in our past activity. The unhealthy foods that we eat, results to
hypertension. In addition you also Identify several effects based on a given cause
EN3RC-IIIa 2.7.1 from your Grade 3 English lessons.
Did you notice that your activity performed a cause-and-effect situation.
No matter it is positive or negative results. This motivation anchors to our
lesson for today which are the If-Then Statements:
Our objectives are:
The learner:
 Determines the relationship between the hypothesis and the
conclusion of an if-then statements. M8GE-IIf-1
 Transforms a statement into an equivalent if-then statement. M8GE – IIf – 2
You goal right now is to learn and understand key concepts on
reasoning and proving.
An If-then statement is composed of two clauses: the if-clause
and then-clause. We can denote a letter for each clause, p for the if-
Yes sir!
Answers may vary

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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
that tells us what is given or what is assumed. The q statement is called
the conclusion that tells us what to follow from the assumption.
That is:
If P, then Q or
P for hypothesis and Q for conclusion
(Use the pictures in the past activity)
Are they partners?
How can we use if then statements in these pictures?
Anyone?
Very good!
If we are going to eat unhealthy foods, then we have
hypertension.
If we base in the if then statements:
If P then Q
P is the Hypothesis and Q is the conclusion
So P will be, we are going to eat unhealthy foods
And Q, we have hypertension.
Yes sir!
If we are going to eat unhealthy foods, then
we have hypertension.

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Do you understand?
(Get another pictures)
Do you see these pictures?
Who can use these in if then statements?
Very good!
Or, we can also say that.
If we choose someone who are ready to love you no matter what,
then we have a very good relationship in the future.
Am I correct?
In this situation, what will be the hypothesis and conclusion?
Yes sir!
Yes sir!
If we love someone who can love you also,
then we have a future healthy family.
Yes sir!
From the statement: If we choose
someone who are ready to love you no
matter what, then we have a very good
relationship in the future.
Hypothesis-we choose someone who are
ready to love you no matter what
Conclusion- we have a very good
relationship in the future.

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5. Discussion2: Let’s try
Conditional Statement: If a car is in good condition, then it is safe for
driving.
Hypothesis: A car is in good condition
Conclusion: It is safe for driving.
The above conditional statement may also be written in the
following form:
A car is safe for driving if it is in a good condition.
In this form, the conditional statement is written without words “if”
and “then”.
Here are other examples:
Congruent segments have equal lengths.
A prime number has only two factors.
These conditional statements can be formed to the if-then form as
follows:
If two segments are congruent, then they have equal lengths.
If a number is prime, then it has only two factors.
A simple flow of reasoning from the if-clause to the then-clause is
called simple implication.

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6. Guided Practice:
The implication 𝒑 ⟶ 𝒒 is always true except in the case that p is true
and q is false. See the truth table for the implications below.
Definition: A conditional statement, symbolized by p q, is an if-then
statement in which p is a hypothesis and q is a conclusion. The logical
connector in a conditional statement is denoted by the symbol . The
conditional is defined to be true unless a true hypothesis leads to a false
conclusion.
Activity 2: Complete Me! (Volunteer)
Convert each statement in if-then form, then identify the hypothesis and
the conclusion. Number one is done for you:
1. Opposite sides of a rectangle are parallel.
If then Statement: If the polygon is a rectangle, then the opposite
sides are parallel
Hypothesis: the polygon is a rectangle
Conclusion: the opposite sides are parallel
2. Filipinos are God-fearing people. If then statements: If you are Filipino then
you are God-fearing people.
Hypothesis: you are Filipino

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7. Independent
practice
3. The sum of the measures of complementary angles is 90°.
4. Good citizens obey rules and regulations.
5. A triangle is a polygon of three sides.
Get a 1 whole piece of paper and answer this:(not recorded)
Activity No. 3: What If!
Direction: Write each conditional statement in the “if-then” form. Then
give the hypothesis and the conclusion of each conditional statement.
1. Cigarette smoking is dangerous to your health.
If-then form______________________________
Conclusion: you are God-fearing people.
If then statements: If two angles are
complementary, then the sum is 90°.
Hypothesis: two angles are complementary
.
Conclusion: the sum is 90°.
If then statements: If Paolo is a good citizen
then he obeys rules and regulations.
Hypothesis: Paolo is a good citizen
Conclusion: he obeys rules and regulations.
If then statements: If the polygon is a triangle
then it has three sides.
Hypothesis: the polygon is a triangle
Conclusion: it has three sides.
.
If you are smoking cigarette then your health is in
danger.

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Hypothesis ______________________________
Conclusion ______________________________
2. It is more fun in the Philippines.
If-then form _____________________________
Hypothesis ______________________________
Conclusion ______________________________
3. A segment has exactly one midpoint.
If-then form _____________________________
Hypothesis ______________________________
Conclusion ______________________________
4. Angles in a linear pair are supplementary.
If-then form _____________________________
Hypothesis ______________________________
Conclusion ______________________________
5. Vertical angles are congruent.
If-then form _____________________________
Hypothesis ______________________________
Conclusion ______________________________
If it is fun then it is in the Philippines
If it is a segment then it is exactly one midpoint.
If it is an angles in a linear pair, then it is
supplementary
If the angles are vertical, then it is congruent

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8. Generalization: How can we determine the relationship between the hypothesis and
the conclusion of an if-then statements?
You explained it well!
What are the methods that you are going to use to answer the if then
statements?
Very Good!
How can we distinguish the hypothesis of the statements? The
conclusion?
Nice answer!
Is it difficult to perform the if then statements? How?
Wow! You have a very good answer.
Can we apply or use the if then statements in real life? How?
Exactly!
We can determine the relationship between
the hypothesis and the conclusion of an if-
then statements by writing the hypothesis
followed by a conclusion called an if-then
statements or a conditional statement. Thus,
is read as-if P then Q. a conditional
statement is false if hypothesis is true, and
the conclusion is false.
The methods that we are going to use is: If
P, Then Q.
The Hypothesis in the statements is the P or
the words after If, and the conclusion is the
Q, where the words after then.
No sir! We just simply make sentences using
the if then statements.
Yes sir! We can apply it using the cause and
effect. If for the cause and then for the effect.

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9. Application:
(FOR PERFORMANCE)
RUBRICS:
Correctness= 5 points
Cleanliness = 5 points
Originality/timeliness = 5
points
Total = 15 points
We have a very nice conversations, and you know already our lessons,
but let us apply it again in our next step.
Let’s go to Application: Application in Real life using some of the
different Republic Acts of the Philippines.
Are you ready?
Activity 4. Listen to Republic! (Recorded as performance)
Direction: In a ½ crosswise, kindly choose 2 statements and answer
the following:
Use IF THEN STATEMENTS in the following real-life situations based
on different Republic Act of the Philippines, and find its HYPOTHESIS
and CONCLUSION:
1. Republic Act No. 3571 of 1963. An act to prohibit the Cutting,
Destroying or Injuring of Planted or Growing Trees, Flowering
Plants and Shrubs or plants of Scenic value along Public roads,
In plazas, Parks, School premises or any other public Ground.
2. Republic Act 9003 Ecological Solid Waste Management Act of
2000. In partnership with stakeholders, the law aims to adopt a
systematic, comprehensive and ecological solid waste
Yes Sir!
(Answers may Vary)
Possible responses:
1. If the mining company continued the
cutting of trees at Taclobo, then there
is a possibility to have a landslide,
flooding and many people will be
affected.
H: the mining company continued the cutting
of trees at Taclobo
C: there is a possibility to have a landslide,
flooding and many people will be affected.
2. If we segregate all garbage’s and
bury it on a proper dumpsite, then our
surrounding will be clean and free
from illnesses.
H: we segregate all garbage’s and bury it on
a proper dumpsite

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management program that shall ensure the protection of public
health and environment,
3. Indigenous Peoples Rights Act 1997 (Republic Act No. 8371).
An Act to recognize protect and promote the rights of Indigenous
cultural Communities/Indigenous Peoples, establishing
implementing mechanisms, appropriating funds therefor and for
other purposes.
4. Republic act No. 10931, otherwise the Universal Access to Quality
Tertiary Education Act, is an act promoting universal access to
quality tertiary education by providing free tuition and other school
fees in state universities and colleges, Local Universities and
Colleges, and State-Run Technical Vocational Institutions.
5. R.A. 10667 The Philippine Competition Act is the primary
competition policy of the Philippines for promoting and protecting
competitive market. It will protect the well-being of consumers and
preserve the efficiency of competition in the marketplace.
C: our surrounding will be clean and free
from illnesses.
3. If we love the Indigenous People and
help their needs especially on their
health, then we have plenty of root
crops every Sunday.
H: we love the Indigenous People and help
their needs especially on their health
C: we have plenty of root crops every
Sunday.
4. If we have no free tuition fee on
college, then it is not easy for us to
pay such payments and we will not
succeed.
H: we have no free tuition fee on college,
C: it is not easy for us to pay such payments
and we will not succeed.
5. If the grocery in this coming
December becomes expensive, then
Christmas Party will be forgotten, and
we will sad.
H: the grocery in this coming December
becomes expensive
C: Christmas Party will be forgotten, and we
will sad.

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This are the integration of topics to:
Grade 9 health, which explains how a healthy environment positively impact the
health of people and communities (less disease, less health care cost, etc.) H9CE -Ib -
d – 10 and Monitor compliance with state / territory garbage disposal procedures
for the protection of the marine environment LE_AF AFCAP 9- 12PMEIVa-b23
ESP 10: Nakapagsusuri kung bakit ang kahirapan ay paglabag sa dignidad ng mga
mahihirap at indigenous groups EsP10MP-If-4.2

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10.Evaluation
Activity No. 4: Then What?
Direction: Write each conditional statement in the “if-then” form. Then give the
hypothesis and the conclusion of each conditional statement.
1. Good citizens obey rules and regulations.
If-then form _______________________________
Hypothesis _______________________________
Conclusion _______________________________
2. Filipinos are God-fearing people.
If-then form _______________________________
Hypothesis _______________________________
Conclusion _______________________________
3. The sum of the measures of complementary angles is 90o
.
If-then form _______________________________
Hypothesis _______________________________
Conclusion _______________________________
4. Opposite sides of a rectangle are parallel.
If-then form _______________________________
Hypothesis _______________________________
Conclusion _______________________________
5. A triangle is a polygon with three sides.
If-then form _______________________________
Hypothesis _______________________________
Conclusion _______________________________
J. Assignment
Direction: Write each conditional statement in a converse, Inverse and Contrapositive
format.
1. Statement: If you attend classes regularly, then you learn a lot. Converse:
_________________________________________
Inverse: _________________________________________
Contrapositive: ______________________________________
2. Statement: If two lines intersect at right angle, then they are perpendicular.

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Converse:_________________________________________
Inverse:____________________________________________
Contrapositive: ____________________________________ 3. If David will go to
the party, then Marie will stay at home. Converse:
_________________________________________ Inverse:
____________________________________________ Contrapositive:
_____________________________________
K: Additional Activities:
Now that you are well-versed in converting conditional statements to if-then form and
can easily identify the hypothesis and the conclusion, when do you say that the
implication is true or false?
Observe the set of pictures. Describe the pictures using conditional statement.
Prepared by:

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JOHN MICHAEL A. PEREZ
Field Study Student
Checked by:
MEE R. RESANO, LPT
Teacher II (DCMMMNHS)