Detailed Lesson Plan in Mathematics 8
I. Objectives
At the end of the lesson the students will be able to:
1. determine the hypothesis and the conclusion of the conditional statements
not in if-then form;
2. convert conditional statement into an equivalent if-then form; and
3. appreciate the importance of a good if-then statement in real life arguments
II. Subject Matter
` Topic: “Transforming a statement into an equivalent if-then statement”
References: LM: Emmanuel P. Abuzo. et.al (2013). Mathematics 8
TG: Teacher’s Guide for Junior High School
Materials: Visual aids, calculator, laptop and LED Television
Value Focus: Rationality
PPST: Domain 4 – Curriculum and Planning
Time Frame: 1 hour
III. Learning Activities
A. Preparatory Activities
Teacher’s Activity Students’ Activity
1. Prayer
2. Checking of Attendance
3. Review
In order to refresh your memory from our
past lesson, let us have an activity;
Fill out the missing information on the given
truth table:
p Q p→q p q p→q
T T T T T
F F T F F
T T F T T
F F F F T
Questions:
1. What are the two parts of a 1. Hypothesis and Conclusion Sir.
conditional statement?
2. What letter denotes for the if-
statement or hypothesis of a 2. p denotes if-statement or hypothesis
conditional statement? Sir.
3. What letter denotes for the then-
statement or conclusion of a 3. q denotes then-statement or
conditional statement? conclusion Sir.
4. What do you call the part of a
conditional statement that follows 4. It is called conclusion Sir.
“then” when written in if-then form?
5. What do you call the part of a
conditional statement that follows “if” 5. It is called hypothesis Sir.
when written in if-then form?
Well done You got it all right!
4. Motivation
Now, let us have an activity, determine the
hypothesis and conclusion. The word
“hypothesis” and “conclusion” will be posted
on the board. If you think the statement is
hypothesis or conclusion, you will move
closer to the word “hypothesis” and
“conclusion” respectively.
1. Statement: I'll bring an umbrella if it Hypothesis: "It rains."
rains. Conclusion: "I'll bring an umbrella."
2. If you do your homework, then you Hypothesis: “you do your homework”
will receive snacks. Conclusion: “you will receive snacks”
3. If you drink milk, then you will grow. Hypothesis: “you drink milk”
Conclusion: “you will grow”
4. If two lines are parallel, then they will Hypothesis: “two lines are parallel”
never intersect. Conclusion: “they will never intersect”
5. If a figure has four sides, then it is a Hypothesis: “a figure has four sides”
quadrilateral. Conclusion: “it is a quadrilateral”
You got the answers? Yes Sir.
Very good! Thank you very much.
B. Developmental Activity
Teacher’s Activity Students’ Activity
1. Presentation
In the previous lesson, you learned how to
identify the hypothesis and conclusion of a
given conditional statement. But not all
conditional statements are written in if-then
form where the hypothesis-conclusion can be
easily identified. In some conditional
statements, conclusions are written before
the hypothesis. Let us find out by first
activating your prior knowledge in identifying
hypothesis and conclusion of a given
conditional statement written in if-then form.
Here are the learning objectives that you
will attain after our discussion.
At the end of the lesson the we will be able
Please read the objectives: to:
1. determine the hypothesis and the
conclusion of the conditional
statements not in if-then form;
2. convert conditional statement into an
equivalent if-then form; and
3. appreciate the importance of a good
if-then statement in real life
arguments
2. Discussion
Let us recall that in our previous lesson, you
learned how to identify the hypothesis and
the conclusion of a given conditional
statement. The if-statement is the
hypothesis, and the then-statement is the
conclusion.
Furthermore, you also learned that in the
conditional statement written in if-then form,
the part of the conditional statement that
follows the if-clause is the hypothesis and the
part of the conditional statement that follows
the then-clause is the conclusion. The hypothesis is “a polygon is a triangle”,
while the conclusion is “it has three sides”.
For example, in the statement “If a polygon is
a triangle, then it has three sides”,
What is the hypothesis and the conclusion?
Very good.
If we are going to rewrite the above
statement in this way “A triangle is a polygon
with three sides” this statement is also
considered a conditional statement.
However, it is not written in if-then form.
Remember that not all conditional
statements are written in if-then form. The
example is a kind of conditional statement
that need to be converted to if-then form. We
may rephrase the hypothesis and conclusion
depending on how it is being stated.
Here are other examples of conditional
statements:
1. All prime numbers are odd.
2. A triangle is a polygon with three sides.
3. 4x + 5 = 29 when x = 6.
4. Ana will bring umbrella when it is raining.
5. You are safe if you stay at home.
6. I will pass the course if I pass the exam. The statements do not contain “if” and “then”
What did observe on the statements?
The examples 1 to 3, hypothesis is found in
You are correct. the first part of the conditional statement,
while conclusion is in the second part of the
Any more observations? statement.
In examples 4 to 6, hypothesis is found on
the last part, while conclusion is found on the
first part of the conditional statement.
What about the example 4-6?
We can conclude that a hypothesis is not
always found in the first part of the
statement.
We can conclude that?
Very good! this means that we should
understand or we have to interpret the
statement first before we will determine the
hypothesis and conclusion and transform it .
into an if-then form.
If we will convert the examples in if-then
statements:
1. Conditional statement: All prime numbers
are odd.
Hypothesis: All prime numbers.
Conclusion: are odd.
If-then form: If all numbers are prime, then
they are odd.
2. Conditional statement: A triangle is a
polygon with three sides.
Hypothesis: A triangle is a polygon
Conclusion: three sides
If-then form: If a polygon is a triangle, then it
has three sides.
3. Conditional statement: 4𝑥 + 5 = 29 when 𝑥
=6 4. Conditional statement: Ana will bring
Hypothesis: 4𝑥 + 5 = 29 umbrella when it is raining.
Conclusion: when 𝑥 = 6 Hypothesis: it is raining
If-then form: If 𝟒𝒙 + 𝟓 = 𝟐𝟗, then 𝒙 = 𝟔. Conclusion: Ana will bring umbrella
If-then form: If it is raining, then Ana will bring
Now you try. Transform into if-then statement umbrella.
the examples 4 to 6.
5. Conditional statement: You are safe if you
stay at home.
Hypothesis: you stay at home
Conclusion: you are safe
If-then form: If you stay at home, then you
are safe.
6. Conditional statement: I will pass the
course if I pass the exam.
Hypothesis: I pass the exam
Conclusion: I will pass the course
If-then form: If I pass the exam, then I will
pass the course.
Excellent. Do you have any question?
If there’s none, let’s apply the concept you’ve
learned in real life situation.
3. Application
Understanding if-then statements or
conditional statements can be vital in your
real-life communication. Mistaken statements
may lead to miscommunications that may
also lead you to harming others.
We all think about what we are going to do in
the future, whether it is figuring out our
weekend or deciding what to make for
dinner. But things don’t always go as
planned. When we construct a sentence with
conditionals and if clauses, we have an
understanding that other things may affect
the course of events in our day, we make
conditional plans:
If it rains tomorrow, I’ll stay home.
If I hadn’t stayed up so late last night,
I wouldn’t be so tired.
4. Generalization
To sum up our lesson for today, what have I learned the concept of if-then statement.
you learned from our discussion?
Very good. Who can give other realization? It is essential to understand the use of the if
and them statements.
Correct. Any more lesson you have learned Not all conditional statements are in if-then
today? statement and not all hypothesis are placed
first in the statement, so is the conclusion.
Do you have questions and clarifications None Sir.
regarding to our topic?
If there’s none, prepare for a quiz.
IV. Evaluation
Teacher’s Activity Students’ Activity
Directions: On a one ½ sheet of paper,
answer the following in 10 minutes.
Convert each conditional statement into if-
then form.
1. All squares are rectangle. 1. If a figure is a square, then it is a
2. A polygon with nine sides is a rectangle.
nonagon. 2. If a polygon has nine sides, then it is
3. Collinear points lie on the same line. nonagon.
4. Come here and you will get a reward. 3. If points are collinear, then they lie on
5. Equilateral triangles are equiangular. the same line.
4. If you come here, then you will get a
reward.
5. If a triangle is equilateral, then it is
equiangular.
V. Assignment
Teacher’s Activity Students’ Activity
Direction: Find at least two advertisements
from the television, a magazine or
newspaper that contain conditional
statements, then answer the following
questions:
1. Determine the hypothesis and
conclusion of each statement.
2. If the conditional statements found
are not written in if-then form, convert
the statements into if-then form.
Prepared by: Checked by:
VAL DARYL ANHAO LEILANIE T. ABEDEJOS
Substitute Teacher Department Head
