1. School LANAO SCHOOL OF SCIENCE AND
TECHNOLOGY INC.
Grade Level 8
Teacher JELINE DEO PALA CA ABA-A Learning
Areas
MATHEMATICS
Time & Dates 10:15 – 11:05- Dec 10, 2023. Monday Quarter SECOND
I. OBJECTIVES
A. Content
Standards
Demonstrates understanding of key concepts of logic and reasoning.
B. Performance
Standards
is able to communicate mathematical thinking with coherence and clarity in
formulating and analyzing arguments.
C. Learning Competencies
/Objectives (Write the
code for each LC)
The learners will be able to:
Uses inductive or deductive reasoning in an argument. M8GE - IIh - 1
II. Objectives. At the end of the lesson, the students will be able to:
a. define deductive and inductive reasoning,
b. perform deductive and inductive reasoning using variety of activities;
c. share the importance of deductive and inductive reasoning in real life situation.
II. CONTENT
A. Subject Matter
A1. Integration
A2. Strategy
A. Deductive and Inductive Reasoning
A1. English, Mapeh, Numeracy, Literacy, Science and Values
A2. Interactive and Collaborative Approach
III. LEARNING
RESOURCES
A. References G-8 CURRICULUM GUIDE
1. Teacher’s Guide
Pages
https://youtu.be/TPcMSzJIxYA?si=qaoHV3hGo-6Yzt2v
2. Learner’s Material
Pages
3. Textbook Pages
4. Additional Materials
from LR Portal
B. Other Learning
Resources
Laptop, printer, bondpaper, envelope, marker and chalk.
IV. PROCEDURES Teacher’s Activity/ies Learner’s Expected Response/s
ELICIT
A. Reviewing the previous
lesson or presenting the
new lesson
Kindly stand for a prayer, may I ask Rica to
lead a prayer?
Good morning class.
Before you take your sit, kindly pick up some
pieces of paper or trash and arrange your
chair properly.
Class secretary, don't forget to check the
attendance.
How are you today?
Imposing of classroom rules
I just want to remind you about our
classroom rules:
LISTEN - 3 points
PARTICIPATE - 3 points
RESPECT - 5 points
Please always bear these rules in your mind.
Those students who will apply these rules
will gain points every day and these will
reflect your behavior.
Am I clear?
That’s good.
Bowing their heads.
Good morning ma'am.
Yes ma’am.
We’re fine ma’am.
Yes ma’am.
2. Who can recall about the lesson we
discussed last meeting?
Very good.
Then what is hypothesis and conclusion?
Very good. Well then let us continue with our
lesson.
The hypothesis and conclusion of
an if-then statement.
Hypothesis is cause and
conclusion is the result or effect.
ENGAGE
B. Establishing the purpose
for the lesson.
To start off, I have video to show and in the
video you need to follow what the speaker
says.
What is the video all about?
Very good, So what are gonna do if the
speaker says, simon says?
If the speaker does not say, simon says?
What can you observe in the video?
Very good reasoning.
So let’s proceed to our topic for today.
Simon says, ma’am.
You need to follow, ma’am.
You should not follow, ma’am.
There is a pattern ma’am because
if the speaker says simon says we
follow but if she does not say
simon say we should not follow.
C. Presenting examples/
Instances of the new
lesson
Based on the video, what is our topic for
today?
Very good.
This morning we will discuss about
Deductive and Inductive Reasoning.
Okay let’s read our objective for today’s
lesson.
At the end of the lesson, the students will be
able to:
a. define deductive and inductive reasoning,
b. perform deductive and inductive reasoning
using variety of activities;
c. share the importance of deductive and
inductive reasoning
Reasoning
Mathematical Reasoning is a critical
thinking skills that enables someone to make
use of all other skills in mathematics.
There are two common types of reasoning
which are deductive and inductive.
Deductive and Inductive
Reasoning.
EXPLORE
D. Discussing new
concepts and practicing
new skills #1
INDUCTIVE REASONING
Inductive reasoning is a reasoning which
involves searching for patterns and making
generalizations. In short, specific to general.
Types of inductive reasoning includes the use
of visual patterns, number patterns, and
conjectures.
Visual patterns
3. Number Patterns
1, 4, 7, 10, 13, 16, 19, 22, 25, ... Arithmetic
sequence
1, 3, 9, 27, 81,243, ... Geometric sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... Fibonacci
sequence
Conjectures
In mathematics, a conjecture is a conclusion
or proposition which is considered to be true
due to some preliminary evidence.
Example 1: My mathematics teachers is
intelligent. The teacher in math of my brother
is also intelligent.
Mother’s mathematics teacher way back high
school is also intelligent. What can you say
about mathematics teacher?
Answer: Mathematics teachers are
intelligent.
Example 2: My brother eat vegetables.
Mother’s favorite dish is chopsuey. My sister
always eat vegetable salad.
What can you say about them?
Who wants to answer?
Yes, john.
Very good.
So, any question about inductive reasoning?
Let’s proceed to Deductive Reasoning.
(Students raise their hand)
Their family loves to eat
vegetables.
None ma’am.
EXPLAIN
E. Discussing new
concepts and practicing
new skills #2
DEDUCTIVE REASONING
Deductive reasoning is a reasoning which
is considered as valid form of proof. Most of
the geometric proofs are written using
deductive reasoning. In this type of
reasoning, people make use of conclusions
based on the previously known facts, In
short general to specific.
Deductive reasoning includes hypothesis
and conclusion.
Hypothesis is the statement which is
accepted or known at the beginning.
Conclusion is a statement usually drawn
from the hypothesis.
Example 1:
OFW earns more than domestic Filipino
workers.
John is an OFW.
Therefore, John earns more money from his
job abroad.
Example 2:
Composite numbers are numbers
with more than two factors.
The factors of 18 are 1,2,3,6,9, and
18.
Therefore, 18 is a composite
number.
.
Example 3:
Wearing face masks and face
shields protects you from the
spread of covid-19 virus.
4. Do you understand class the deductive
reasoning?
It’s good to hear that so let’s proceed to our
assessment.
When going outside, Luis always
wear face masks and face shields.
Therefore, Luis is safe from being
infected of the virus.
Yes ma’am.
F. Developing mastery
(Leads to Formative
Assessment 3)
I want you to choose your partner and then
answer the problem in a 1 whole sheet of
paper. I will give you 5 minutes to answer.
Is the instruction clear?
Direction: Write Deductive reasoning if the
statement is deductive reasoning, write
Inductive reasoning if the statement if
inductive reasoning.
1. Rusty is a shelter dog. He is happy. All
shelter dogs are happy.
2. Rusty is a shelter dog. All shelter dogs
happy. Therefore, he is happy.
3. My father is Filipino. Everyone from the
Philippines has dark hair. Therefore, my
father has dark hair.
4. My father is Filipino. He has dark hair.
Therefore, everyone from the Philippines has
dark hair.
5. All dogs have ears. Golden retrievers are
dogs. Therefore, they have ears.
ANSWERS:
1. INDUCTIVE REASONING
2. DEDUCTIVE REASONING
3. DEDUCTIVE REASONING
4. INDUCTIVE REASONING
5. DEDUCTIVE REASONING
ELABORATE
G. Finding practical
applications of concepts
and skills in daily living
DIFFERENTIATED ACTIVITY
Okay, let’s have another activity I will
group you into three group, count off
one, two and three. This an impromptu
activity so no need to practice because I
know you can do this activities.
Directions: Cooperate and participate to your
group and make sure that you do your tasks
correctly.
GROUP 1: GUESS THE ANIMALS.
Instruction: One player picks the name of an
animal and provides clues about its
characteristics, habitat, or behavior. The
other players take turns guessing the animal
based on the clues given. The player who
correctly guesses the animal becomes the
next clue-giver. I will give you 3 minutes to
guess the animals and 2 points for each
correct answer, and you can pass the
animals that you can’t guess. The score that
you gather will be your final score for this
activity.
GROUP 2: DANCE/CHOREOGRAPHY
Instructions: The music will be played, and
the teacher will give the students instructions
to create their own dance routines by
following a pattern or order.
GROUP 3: SPORTS/ MARTIAL ARTS
Instructions: The students will find a partner
with whom they will perform martial arts
movements. They will analyze and predict
the movements of their partner and try to
copy them.
5. Group 1, come here in front to play the game
guess the animal.
Group 2, come here in front to dance.
Group 3, come here to perform your martial
arts.
Did you enjoy the activity class?
I'm so happy that you enjoy my topic.
Did you understand it class?
It’s good to hear that class.
(Group 1 will play the game)
(Group 2 will dance).
(Group 3, will perform their martial
arts).
Yes ma’am.
Yes ma’am.
EVALUATE
H. Making generalization
and abstraction about
the lesson
Again, what is our topic for today?
What is reasoning?
What is inductive reasoning?
What is deductive reasoning?
How can we relate deductive and inductive
reasoning in real life situation?
In real life, we often use a combination of
both. For example, when you meet a new
person, you might use inductive reasoning
based on your past experiences with similar
people to form an initial impression. Then, as
you get to know them better, you might use
deductive reasoning based on what you
know about them to understand their
behavior. So, in essence, deductive and
inductive reasoning are like two sides of the
same coin, each complementing the other to
help us navigate through life.
Do you understand our topic for today?
Do you have any questions class?
Deductive and Inductive
Reasoning.
Mathematical Reasoning is a
critical thinking skills that enables
someone to make use of all other
skills in mathematics.
Inductive reasoning is a
reasoning which involves
searching for patterns and making
generalizations.
Deductive reasoning is a
reasoning which is considered as
valid form of proof.
We can relate deductive and
inductive reasoning ma’am in
school when your teacher asks
you a question then it’s your
choice if you answer your teacher
a inductive reasoning or deductive
reasoning.
Yes ma’am.
None ma’am.
I. Evaluating Learning Instructions: Write IR if the statement is
inductive reasoning and DR if the statement
is deductive reasoning. ½ crosswise.
1. If all birds can fly and a penguin is a bird,
can a penguin fly?
2. You see a swan and it is white. You see
another swan and it is also white. You then
conclude that all swans are white.
3. If all dogs bark and Fido is a dog, does
Fido bark?
Answer:
1. DR
2. IR
3. DR
4. IR
5. DR
6. 4. Every time you eat shellfish, you have an
allergic reaction. You conclude that you are
allergic to shellfish.
5. If all roses are flowers and this plant is a
rose, is this plant a flower?
EXTEND/EXPAND
J. Additional activities for
application or
remediation
Directions: Write Deductive Reasoning if
the statement is deductive and write
Inductive Reasoning if the statement is
inductive. Write your answer in your math
notebook.
STATEMENT 1: I see fireflies in my
backyard every summer. Therefore, I will
probably see fireflies in my backyard this
summer.
STATEMENT 2: You notice that every time
it's cloudy, it rains. You conclude that it will
rain every time it's cloudy.
STATEMENT 3: If all mammals have hair
and a whale is a mammal, does a whale
have hair?
STATEMENT 4: You've observed that every
time you study hard, you get good grades.
You conclude that studying hard leads to
good grades.
STATEMENT 5: If all cats have tails and
Whiskers is a cat, does Whiskers have a
tail?
Goodbye Class!
ANSWERS:
1. INDUCTIVE REASONNG
2. INDUCTIVE REASONING
3. DEDUCTIVE REASONING
4. INDUCTIVE REASONNG
5. DEDUCTIVE REASONING
Goodbye and thank you ma’am
Deo.
V. REMARKS
VI. REFLECTION
PREPARED BY: JELINE DEO PALA CA ABA-A
BSED MATHEMATICS 4
