CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE

PASACAO CAMPUS

Sta. Rosa Del Norte, Pasacao, Camarines Sur

DETAILED LESSON PLAN IN MATHEMATICS 8

"GEOMETRY"

CONTENT STANDARD

The learner demonstrates understanding of the key concepts of logic and reasoning.

PERFORMANCE STANDARD

The learner is able to communicate mathematical thinking with coherence and clarity in formulating and
analyzing arguments.

I. OBJECTIVES

At the end of the lesson, students are expected to:

A. determine the relationship between the hypothesis and the conclusion of an if and then statement,

B. transform a statement into an equivalent if and then statement; and

C. determines the inverse, converse, and contra positive of an if and then statement.

II. SUBJECT MATTER

A. Topic: If and Then Statement

B. References: Grade 8 Math Full 8-6-13.pdf

C. Materials: manila paper, marker

E. Concept: 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 hypothesisand the q statement is called the
conclusion.

A simple flow of reasoning from the if-clause to the then-clause is called simple implication.

F. Values Integration: Accuracy, objectivity, perseverance

G. Skills to develop: Knowing and understanding, Conjecturing, Reasoning

H. Method: 4A’s

III. PROCEDURE

Time
Frame Teachers Hint Teachers Activity Students Activity IM's

A. Teachers Activity

5 mins 1. Greetings Good morning class. Good morning ma'am.

2. Prayer Please all stand and let us
 pray. (Students will pray.)

3. Securing Before you take your seat,

orderliness and kindly pick up the pieces of The students will pick up
cleanliness paper under and other the pieces of paper and
unnecessary things under arrange their chairs
your chairs and please properly.
arrange your chairs properly.

4. Checking of Class beadle, please check

attendance the attendance for today.
(Beadle will check the
5. Checking of I gave you assignments attendance.)
assignment yesterday please pass it in
front and I will be the one to
check that later.
(The students will pass
3 mins 6. Recall Before we proceed to our their preparations.)
discussion for today, let's
have first a short
recapitulation of what we
discuss yesterday.

Anyone who can recall our

last topic? Ma’am we tackle about
graphical solutions of
systems of linear
inequalities in two
variables.
Thank you.

5 mins 7. Motivation Before we proceed to our

discussion for today, I want
you to your answer in the
space provided IN THE BOX.

What conclusions can you

give why some student are
faced with problems in life
such as failing grades,
difficulties in meeting
deadlines, and even troubles The students will write their
with their love life? conclusions.
IN THE BOX

How do you find the activity

class? What did you do? We enjoy the activity
ma’am because we were
able to express our
opinions/conclusions
freely.
Very good.

You gave your initial ideas

on how to make conclusions
based on given situations.
 B. Lesson Proper

5 mins 1. Presentation of the Our lesson for today is about

lesson the If and Then Statements.

2. Presentation of the Here are the following

objectives objectives that we need to The students will read the
attain for today. Please read. objectives.

OBJECTIVES

At the end of the

lesson, students are
expected to:

A. determine the
relationship between the Visual aids
hypothesis and the
conclusion of an if and
then statement,

B. transform a
statement into an
equivalent if and then
statement; and

C. determines the inverse,

converse, and contra
Thank you. positive of an if and then
statement.
3. Activity To attain our objectives for
today, we will have another
activity.

a. Pre-activity I will divide you into three

groups. Please count. The students will count.
Your output will be graded by
the following rubric. Please (See the attached rubric.)
read.

You can select a reporter to

b. Activity proper present your output. I will
give you 10 minutes to finish
your work. Your time starts (See the attached activity
now. sheet)

c. Post activity Times up! Please present

your output. The students will present
their output.

(Grading the students

output.)

How was the activity class? The activity was fun

ma’am.
C. Analysis and
Abstraction Really? How did you say so? Because we were able to
10 mins transform a statement into
an if and then statement.

Very good. What else have

you learned from our activity We also learn how to
class? determines the inverse,
converse, and contra
positive of an if and then
statement.
Excellent class.

So based from your activity

what is an if and then
statement?
Ma’am If and then
Very good. statement are conditional
statement.
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 hypothesisand
the q statement is called the
conclusion.

A simple flow of reasoning

from the if-clause to the then-
clause is called simple
implication.

From your activity class were

you able to transform a
statement into an equivalent Yes, Ma’am.
if and then statement?

How did you transform it We transform the

then? statement by following the
statement from the table
given.
Very good.

In the table provided what

else did you do in the We also find the inverse,
statement? converse and contra
positive statement ma’am.
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.
p q p q
T T T
T F F
F T T
F F T

We can summarize how to

convert the statement in
terms of p and q. Study the
table below.
Statement If p, then q
Converse If q, then p
Inverse If not p,
then not q
Contra If not q,
 positive then not p Yes, Ma’am.

Did you understand class?

Excellent class.

Let us try this.

Tell whether the second
statement is a valid
consequence of the first
statement.
1. Students who are good in
mathematics are smart.
Enchong is smart, then he is
good in mathematics.
2. Young actresses are
health conscious.
Kim is a young actress then
she is health conscious.
3. If it rains, then the sports
fest will be cancelled. The students will answer.
It rains therefore the sports
fest is cancelled.

Very good, class.

Convert each statement to if-

then form, and then identify
the hypothesis and the
conclusion.
1. Good citizens obey rules
and regulations.
2. Filipinos areGod-fearing
people.
3. The sum of the measures
of complementary angles is
90°.
4. Opposite sides of a
rectangle are parallel.
5. A triangle is a polygon
with three sides. The students will convert
the statement and then
identify the hypothesis and
conclusion.

Excellent class.
3 mins D. Generalization Who can sum up what we
discussed for today?
Yes Vanessa?
Ma’am we tackle about the
if-then statement. We
identify the hypothesis and
conclusion of the
statement. We also get the
inverse, converse and
contra positive of the
statement.
Thank you Vanessa.

Again class, what is if-then

statement?
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.
Excellent class.
E. Application “PICTURE ME”

Observe the set of pictures.

Describe the pictures using
conditional statements.
State the converse, inverse,
and contra positive of the
conditional statements.
Classify each as true or false
and justify.
Go to other groups, share
your answers, and come up
with a common conclusion.
 The students will answer
the activity.
Very good, class.
Do you have any questions?
If none please get one whole
sheet of paper.

IV. EVALUATION

V. ASSIGNMENT
Answer the following.

1. An even number is divisible by two.

If-then form __________________________________________________
Converse __________________________________________________
Inverse __________________________________________________
Contra positive __________________________________________________
2. Study about inductive and deductive reasoning.

References:
Grade 8 Math Full 8-6-13.pdf

PREPARED BY:
NIKKA S. FACTOR
MATH 4A
 CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE

PASACAO CAMPUS

Sta. Rosa Del Norte, Pasacao, Camarines Sur

ACTIVITY SHEET

Introduction

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.

OBJECTIVES

At the end of the lesson, students are expected to:

A. determine the relationship between the hypothesis and the conclusion of an if and then statement,
B. transform a statement into an equivalent if and then statement; and
C. determines the inverse, converse, and contra positive of an if and then statement.

Materials

Marker
Manila paper

A.) Study the table below then answer the following.

Statement If - then form Inverse Converse Contra positive

A triangle is a If a shape is a If a shape is a If a shape is not If a shape is not

polygon. triangle, then it is polygon, then it a triangle, then it a polygon, then it
a polygon. is a triangle. is not a polygon. is not a triangle.

Statement

1. An even number is divisible by two.

2. If two angles are congruent, then they have the same measure.

3. A rectangle has four right angles.

B.) write the hypothesis and conclusion of the statement above.

 CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE

PASACAO CAMPUS

Sta. Rosa Del Norte, Pasacao, Camarines Sur

ACTIVITY SHEET

Introduction

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.

OBJECTIVES

At the end of the lesson, students are expected to:

A. determine the relationship between the hypothesis and the conclusion of an if and then statement,
B. transform a statement into an equivalent if and then statement; and
C. determines the inverse, converse, and contra positive of an if and then statement.

Materials

Marker
Manila paper

A.) Study the table below then answer the following.

Statement If - then form Inverse Converse Contra positive

A triangle is a If a shape is a If a shape is a If a shape is not If a shape is not

polygon. triangle, then it is polygon, then it a triangle, then it a polygon, then it
a polygon. is a triangle. is not a polygon. is not a triangle.

Statement

1. An even number is divisible by two.

2. If two angles are congruent, then they have the same measure.

3. A rectangle has four right angles.

B.) write the hypothesis and conclusion of the statement above.

 CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE

PASACAO CAMPUS

Sta. Rosa Del Norte, Pasacao, Camarines Sur

ACTIVITY SHEET

Introduction

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.

OBJECTIVES

At the end of the lesson, students are expected to:

A. determine the relationship between the hypothesis and the conclusion of an if and then statement,
B. transform a statement into an equivalent if and then statement; and
C. determines the inverse, converse, and contra positive of an if and then statement.

Materials

Marker
Manila paper

A.) Study the table below then answer the following.

Statement If - then form Inverse Converse Contra positive

A triangle is a If a shape is a If a shape is a If a shape is not If a shape is not

polygon. triangle, then it is polygon, then it a triangle, then it a polygon, then it
a polygon. is a triangle. is not a polygon. is not a triangle.

Statement

1. An even number is divisible by two.

2. If two angles are congruent, then they have the same measure.

3. A rectangle has four right angles.

B.) write the hypothesis and conclusion of the statement above.