GRADE 8
DAILY LESSON LOG
School TANZA NATIONAL TRADE SCHOOL
Grade Level 8
Teacher LESTER MARK P. MANZO
Learning Area MATHEMATICS
Teaching Dates and Time Week 6 Dec. 12 -16, 2022
Session 1
I. OBJECTIVES
1. Content Standards
2. Performance Standards
3. Learning Competencies/
Objectives
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Materials pages
3. Textbook pages
4. Additional Materials from
Learning Resource (LR) portal
Session 3
Session 4
Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary procedures must be followed and if needed, additional lessons,
exercises and remedial activities may be done for developing content knowledge and competencies. These are assessed using Formative Assessment Strategies. Valuing objectives
support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum
guides.
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.
Determines the inverse,
Determines the inverse,
Determines the inverse,
converse and contra-positive
converse and contra-positive of converse, and contrapositive of
of an if-then statement.
an if-then statement.
an if-then statement.
M8GE-IIg-1
M8GE-IIg-1
(M8GE-IIg-1)
a. Recap all transforming
statement to if-then
statement.
b. Write the converse of the
given statement.
c. Evaluate each
basis/reasoning for each
argument.
II. CONTENT
Session 2
Quarter SECOND
Converse of Conditional
Statements
a.Recall transforming statement
to if-then statement.
b.Write the inverse of the given
statement.
c. Evaluate each
basis/reasoning for each
argument.
a. Identify the hypothesis and
conclusion of a conditional
statement
b. Formulate the converse,
inverse and contrapositive
of the if-then statement
c. Find pleasure in formulating
the contrapositive of the ifthen statement
Inverse of Conditional
Statements
Contrapositive of Conditional
Statement
TG, Module 6, pp. 355 - 357
TG, Module 6, pp. 355 - 357
TG, Module 6, pp. 355 - 357
LM, Module 6, p. 325 - 328
S.J. Dilao and J.G. Bernabe,
Geometry, p. 58-85
LM, Module 6, p. 325 - 328
S.J. Dilao and J.G. Bernabe,
Geometry, p. 58-85
LM, Module 6, p. 325 - 328
Crisostomo , Ricardo M. et.al.,
Our World of Math 8 pages
231-234
www.mpsaz.org/mesa/staff/mjla
rson/.../geom_ppt_2.1_conditio
nal statement.pptx
B.
Other Learning Resources /
Materials
IV. PROCEDURES
INTRODUCTION
Direction: Make a sentence
from the jumbled words.
Complete the table below
Opposite
Black
Pass
No
Do
DEVELOPMENT
If then statement are in the
formed p->q.
Example.
a. If a student is good in math,
then he/she is smart.
b. If two angles are right
angles, then they are
congruent.
c. (let the learner give their
own example)
Converse of the statement are
in the form if q then p or q→p
Illustrative example. (converse
of the previous example)
If the student is smart then
he/she is good in math.
(pronoun must always in the
2nd clause).
Noun -> student: Pronoun ->
he/she
Another example;
If two angles are congruent,
then they are right angles.
(converse of the statement is
not always true).
Negation
Not Black
Fail
Not no or yes
Do not
Negation and opposite are
almost the same but different in
some aspect like in example 1
and 2.
If then statement are in the
formed p→q.
Example.
d. If learners review before
exam, then he/she will pass the
exam.
e. If two numbers are not
positive, then its product is
positive.
f. (let the learner give their own
example)
Inverse of the statement are in
the form if not p then not q or
p’→q’
Illustrative example. (inverse of
the previous example)
If the student did not review
before exam then he/she will
not pass.
Another example;
If two numbers are positive,
then its product is not positive.
Prepare the if then statement
we had yesterday.
Warm Up
Determine if each statement is
true or false.
1. The measure of an obtuse
angle is less than 90°.
2. All perfect-square numbers
are positive.
3. Every prime number is odd.
4. Any three points are
coplanar.
Conditional statement is known
as if-then statements. The “if”
part is the hypothesis denoted
by p, and the “then” part is the
conclusion denoted by q.
In symbol, If p, then q.
Hypothesis tells us what is
given or what is to be assumed.
Conclusion tells us what to
follow from the assumption.
The contrapositive of a
statement is obtained by both
exchanging and negating the
hypothesis and the conclusion.
In short,
Conditional Statement:
If p, then q.
Contrapositive:
If not q, then not p.
Example1.
Conditional Statement: If a
triangle is obtuse, then it has
exactly one obtuse angle.
Contrapositive: If a triangle has
no obtuse angle, then it is not
an obtuse triangle.
Noun -> angles : Pronoun ->
they
1. Young actresses are health
conscious.
2. Parallel lines do not intersect.
3. A line that intersects two or
more lines at different point is
called transversal lines.
4. Two adjacent right angles
are supplementary.
5. An angle measure 55 degree
is an acute angle
Example 2.
Conditional Statement: If two
angles are complementary,
then they are acute.
Contrapositive: If angles are
not acute, then they are not
complementary.
Example 3.
Conditional Statement: If an
animal is a cat, then it has four
paws.
Contrapositive: If an animal
does not have four paws, then it
is not a cat.
Example 4.
Conditional Statement: If
Cardo’s birthday is February
29, then he was born in a leap
year.
Contrapositive: If Cardo was
not born in a leap year, then his
birthday was not February 29.
ENGAGEMENT
From the previous activity,
convert each statement into its
converse. If q →p
1. If an actress is young,
then she is health
conscious
2. If the lines are parallel,
then they do not intersect.
3. If a line intersects two or
more lines at different
points, then it is called
transversal line.
4. If two right angles are
adjacent, then they are
supplementary.
From the previous statement,
convert each statement into its
inverse. p’ →q’.
1. If an actress is young, then
she is health conscious
2. If the lines are parallel, then
they do not intersect.
3. If a line intersects two or
more lines at different points,
then it is called transversal
line.
4. If two right angles are
adjacent, then they are
supplementary.
Give the contrapositive of the
following statements:
1. “If the measure of an angle is
90°, then it is a right angle.”
2. “If a polygon has three sides,
then it is a triangle.”
3. “If a polygon has four sides,
then it is a quadrilateral.”
5.
ASSIMILATION
If an angle measure 55
degree, then it is an acute
angle.
Transform the given statement
into if then statement (if
necessary) then write its
converse.
1. If a learner listen to his/her
teacher, then he/she will
learn.
5. If an angle measure 55
degree, then it is an acute
angle.
Write the inverse of the
following statements. Transform
the statement into if-then
statement if necessary.
1. If you are a Filipino then you
are a God fearing people.
2. If x+6=5, then x=-1.
2. If a person ask help to
God, then he/she will
receive blessings.
3. If two or more lines do not
intersect, then they are
parallel lines.
4. Triangle is a polygon.
3. If two angles formed a linear
pair, then they are
supplementary.
Write the contrapositive of the
following statements.
1. If today is Sunday, then it is
weekend today.
2. If two angles are
complementary, then the
sum of their measure is 90⁰.
3. If two lines are
perpendicular, then they
intersect each other
4. Buy one, take one.
5. Opposite sides of a rectangle
are parallel
5. A quadrilateral have 4
sides.
Date Submitted: December 09, 2022
Prepared by:
LESTER MARK P. MANZO
Teacher I
Submitted to:
MIRIAM L. MASAGCA
Head Teacher III- Math Department