Republic of the Philippines
DEPARTMENT OF EDUCATION
Region XII
DIVISION OF SARANGANI
Maasim II District
COLON NATIONAL HIGH SCHOOL
Colon, Maasim, Sarangani Province
DETAILED LESSON PLAN IN MATHEMATICS 7
Grade Level: 7 – DAROYA
QUARTER: 3 rd
No. of Hours: 1 hour
Time: 7:30 – 8:30
Teaching Date: April 7, 2024
CONTENT STANDARD
Demonstrate understanding of key concepts of geometry of shapes, size, and geometric
relationships.
PERFORMANCE STANDARD
The learner demonstrates understanding of key concepts of Geometry of shapes and size,
and geometric relationship.
LEARNING COMPETENCY
Illustrating polygons: a) convexity; b) angles; and c) sides. M7GE-IIIe-2
I. OBJECTIVES
At the end of 60-minute period with 80% proficiency level, the students are expected to:
1. Define a Polygon;
2. Illustrate the different classifications of polygons; and
3. Appreciate the value of polygons to real-life situations.
II. SUBJECT MATTER:
Topic: POLYGONS
Reference: E – Math 7 (Chapter 5, Lesson 5.5), p.430
https://www.storyofmathematics.com/polygons-definition
Materials: Learner’s Material, DLP, laptop
Strategy: Discussion Strategy, Group Discussion Strategy, Collaborative Approach
III. PROCEDURE:
TEACHER’S ACTIVITY
A. Preparation
1. Daily Routine
-Please stand up and let us
pray.
, kindly lead the prayer.
-Good morning, class.
LEARNER’S ACTIVITY
In the name of the Father, of the Son and of the
Holy Spirit. Amen….
Good morning, Ma’am.
-Before you take your seat, please pick up some (Students arranged their chairs and tables)
pieces of paper under your chairs.
-Anybody, have absent for today?
None, Ma’am.
2. Review
-Before we proceed to our next topic this morning,
let’s have first a review about the topic that we
discussed last meeting.
(the teacher will present a figure)
1
2
4
3
5 6
8 7
-Based on the given figure, anybody who can
identify the interior angles?
Ma’am!
The interior angles are <3, <4, <5 and <6.
-Yes,
!
-Yes, that’s right!
Ma’am!
-What are the exterior angles based on the given
figure?
The exterior angles are <1, <2, <7, and <8.
-Yes,
!
-Yes, very good!
Ma’am!
-And what about the alternate interior angles?
Who can identify?
The alternate interior angles are <3 & <5, <4 & <6.
-Yes,
!
-Excellent!
Ma’am!
-What are the alternate exterior angles based on
the given figure?
The alternate exterior angles are <1 & <7, <2 & <8.
-Yes,
!
-Yes, very good!
Ma’am!
-And what about the corresponding angles? Who
can identify?
-Yes,
!
The corresponding angles are < 1 & <5, <2 & <6, <3
& <7, <4 & <8.
-Very good!
-Do you have any questions about that?
None.
3.Motivation
“Stop That Mystery Box”
-I have here a box and inside of this box are
pictures of different figures. When the music starts, you
will start passing the mystery box. And if the music
stop, whoever is holding the box will pick one
picture and answer some questions.
a. How many sides are there in the figure?
b. What shape is represented by the figure?
The following are the figures inside the box:
(Students will perform the task).
3,….4,…..5,…… Triangle,…..Rectangle,…..
(students answer may vary)
B. Presentation
1. Topic
-Based on the activity, what do you think is our
topic this morning?
-Yes,
!
-Yes, that’s right!
2. Objective
-Okay class, these are our objectives for this
session. Everybody please read.
-This time, go to your respective group for an
activity.
Ma’am!
About Polygon Ma’am.
(Students read the objectives.)
(Students go to their respective groups.)
C. Lesson Proper
1. Activity
-Observe and study: Match the Greek prefix from
Column A to its meaning in Column B.
COLUMN A
1.Hepta
2.Tri
3.Penta
4.Octa
5.Quad
6.Hexa
7.Nona
8.Deca
COLUMN B
a. A shape with five sides
b. A shape with seven sides
c. Four sides
d. A shape with six sides
e. Nine sides
f. A shape with ten sides
g. Eight sides
h. Is a numerical prefix meaning
three
-Share your ideas with your group members and
prepare for the questions to be given afterwards.
I’ll give you 2 minutes only.
2. Analysis
-Based on your observation, what is the possible
answer for Column A, number 1?
-How about no,2?
-No.3? No,4? No.5? No.6? No.7? No.8?
(Students observe, study, and share their ideas to
their members.)
B
H
A, G, C, D, E and F
-How did you come up with your answers?
As a group, we share our ideas and deep
understanding about the Greek prefixes in column A.
We already have the basic knowledge about
shapes during our elementary days.
-Well done everyone! Give yourself 3 claps.
3. Abstraction
In mathematics, a polygon is a closed
two-dimensional figure made up of line segments
but not curves. The term polygon originates from
the Greek word “poly “-meaning” many” and “gon”, meaning “angles”. polygons are named
according to the number of sides and angles they
have.
Classifying Polygons
No. of
sides
Types of
Polygon
No. Of
sides
Type of
Polygon
3
Triangle
8
Octagon
4
Quadrilateral
9
Nonagon
5
Pentagon
10
Decagon
6
Hexagon
12
Dodecagon
7
Heptagon
n
N-gon
Types of Polygons
Depending on the sides and angles, the
polygons are classified into different types namely:
1. Regular Polygon
2. Irregular Polygon
Regular Polygon
A regular polygon is a polygon in which all
the interior angles are equal, and all the sides are
equal. There are different types of regular
polygons.
Irregular Polygon
An irregular polygon is a polygon with a
different measure of angles and side lengths.
(Students listen attentively to the teacher’s
discussion.)
2 Polygonal Regions
Convex Polygon
This is a type of polygon with all the interior
angles strictly less than 180 degrees. The vertex of
a convex polygon always points outwards from the
center of the shape.
Concave Polygon
If one or more interior angles of a polygon
are more than 180 degrees, it is known as a
concave polygon. A concave polygon can have at
least four sides -- the vertex points towards the
inside of the polygon.
-Now, who will go to the board and draw 1
example of convex polygon?
-Okay,
.
-Very good.
!
-How about concave polygon?
-Yes,
.
-Perfect!
-Why is it important to study polygons?
Ma’am!
(Students draw a convex polygon.)
Ma’am!
(Students draw a concave polygon.)
-Polygon is important to study for us to have some
wonderful building structure.
-Polygon is important to make patterns.
-Polygon is important because without it there is
no organization of the objects around us.
-Great ideas. Keep it up! Give them some claps.
-Here are some examples of polygons in real life
situations.
-Do you have any ideas/ examples to share?
Building…. Floor Design….Kite
(Student’s answer may vary)
-Wonderful examples everyone. Give yourself 5
claps.
4. Generalization
-Again, what is Polygon?
-How do you know if a polygon is a regular?
-How are you going to classify a polygon if it is
concave or convex polygon?
-How are you going to apply polygons in real-life
situations?
-Wow great thoughts. I am impressed with all of
you.
-Any questions about the topic?
A Polygon is a closed two-dimensional figure made up
of line segments.
-A regular polygon is a polygon in which all the
interior angles and all sides are equal.
-A polygon is convex if all the interior angles are
strictly less than 180 degrees while concave
polygon, one or more interior angles of it is more
than 180 degrees.
-We apply it in designing modern structures.
-We apply it in doing business like making lanterns,
pots, tables, etc.
-None
5. Application
-Okay, this time you are going to perform a group
activity, and I will grade your output based on the
rubrics.
-Are you all ready?
-This will be our rubric in your group activity.
-Yes Ma’am!
(Students listen to the teacher while reading the
rubrics.)
RUBRIC
Presentation
Accuracy
Cooperation
Creativity
5
Demonstrated
on in-depth
understanding.
The answer are
all correct and
accurate
They work
together to solve
the problem.
The overall
impact is highly
impressive.
3
Demonstrated
substantial
understanding
The answers are
almost correct.
They work
together to
overcome
problems.
The overall
impact is
impressive.
1
Demonstrated
Minimal
understanding
Most of the
answers are
incorrect.
They might have
work more
productivity as a
group.
The overall
impact is fair.
-Yes Ma’am!
-Is that clear?
-Supply managers of each group, kindly get your
materials here.
- (Supply managers come forward)
Group Activity
Directions:
-
(Students do and cooperate the activity given to
them)
-
(Student put their output on the board)
-
(Students are clapping)
1. Cut the colored papers inside the brown
envelope applying the different Polygons that you
have learned.
2. One polygon each colored paper.
3. Paste it in the manila paper then classify each
polygon that you have made.
-Time is up! Kindly put your output on the board.
-Let us check your work!
-Congratulations everyone for your excellent
work! Let us give ourselves 5 claps.
6. Enrichment
-This time you are going to make a tangram.
Do you know what a tangram is?
-Tangram is a dissection puzzle consisting of seven
flat polygons, called tans, which are put together
to form shapes. For example,
-No Ma’am!
-We will use the same rubrics as we used earlier to
grade your work.
RUBRIC
Presentation
Accuracy
Cooperation
Creativity
5
3
1
Demonstrated
on in-depth
understanding.
The answer is
all correct and
Accurate
They work
together to solve
the problem.
Demonstrated
substantial
understanding
The answers are
almost correct.
Demonstrated
Minimal
understanding
Most of the
answers are
incorrect.
They might have
worked more
productivity as a
group.
The overall
impact is fair.
The overall
impact is highly
impressive.
They work
together to
overcome
problems.
The overall
impact is
impressive.
Is there any question?
-No Ma’am!
-Time is up! Kindly passed your work.
(Students submit their works.)
-Class, since it is already time. See you tomorrow,
Goodbye, Class.
-Goodbye, Ma’am.
Prepared by:
CRISTIMARIE A. DAROYA
Teacher 1
Checked & Observed by:
LEONORA S. BADIANG
Master Teacher 1
AMORMIA VILLANO
Master Teacher 1