A Detailed Lesson Plan in Mathematics Grade 5
Polygons
I.OBJECTIVES
A. Content Standards: The learner demonstrates understanding of polygons.
B. Performance Standard: The learner is able to construct and describe polygons.
C. Learning Competencies/ Objectives:
a. Visualize, name, draw, and describe polygons with five or more sides. M5GE - lIIc- 19
b. Describe and compare properties of polygons. M5GE – IIIc – 20
c. Visualize congruent polygons. M5GE – IIId -22
Integration: English and Music
Value: Patience and Cooperation
Strategy: Discovery Learning & Explicit Learning
II.CONTENT
POLYGONS
A. References: https://www.storyofmathematics.com/polygons-definition
https://study.com/academy/lesson/what-is-a-polygon-definition-shapesangles.html
https://youtu.be/Itp6YxuNBNs
B. Materials : laptop, camera, cellphone and internet
III.PROCEDURE
Teacher’s Activity
Pupil’s Activity
A. Preliminary Activity
1. Opening Prayer
Let us all offer our day to almighty father and ask for his
In the name of the father and
guidance. To lead our short prayer may I call on (name of
the Son and of the Holy Spirit
student).
Amen.
2. Greetings
Good morning everyone! Good morning students! I feel
happy to see your handsome and pretty faces this morning.
3. Checking of Attendance
For your attendance you don’t need to say present because
I already added attendance extension which will
automatically update the list of who attended the class with
the details of your time in and time out in our google meet.
Students, I would like to know how do you feel today.
Good morning ma’am.
B. Review Previous Lesson
“Who am I” – Types of angles
Let us first have a short recap of our past lesson which is about
the types of angles based on measurement. So these are acute, right,
obtuse, reflex, straight and full rotation.
1. I am an angle with less than 90º, who am I?
Correct!
The answer is acute angle.
2. I am an angle. I measured greater than 90º and less than 180 º,
who am I?
You’ve got it!
The answer is obtuse angle.
3. I am an angle which measure 90º, who am I?
Excellent!
The answer is right angle.
4. I am an angle which measure greater than 180º but less than
360º. Who am I?
Awesome!
The answer is reflex angle.
5. I am an angle which measure exactly 180º. Who am I?
Very Good!
The answer is straight angle.
6. I am an angle which measure 360º. Who am I?
Correct!
The answer is full rotation
angle.
C. Establishing purpose for the Lesson
“Who wants to be a Millionaire”
To test your prior knowledge of today’s lesson, whole class will
now work as one team. This time, 10 of you will be given the chance
to play on the TV game show called “Who wants to be a
millionaire?”. Ten (10) representatives will be chosen thru a name
selector. Are you ready?
1. What is a polygon with nine vertices?
a.Octagon
b.Nonagon
c.Hexagon
d.Heptagon
2. Which is NOT a polygon?
a.Book
b.Ball
c.Door
d.Television
3. An octagon is a polygon with _____________sides
a.5
b.6
c.7
d.8
4. A simple closed curve made up of ___________is called
polygons.
a.rays
b.line segment
c.curve
d.closed curve
5. A polygon with three sides is ____________.
a.hexagon
b.nonagon
c.quadrilateral
d.triangle
Yes, we are!
The answer is letter b
(Nonagon)
The answer is letter b (ball)
The answer is letter d (8)
The answer is letter b (line
segment)
The answer is letter d (triangle)
D. Presenting examples/instances of the new lessons.
Use of Games (Application of Discovery Learning)
MYSTERY BOX GAME
(Keep/Give the Box?)
This is how to play the game
1. Two team will play this game (Team representative in each
group will play the game.)
2. Pick a letter and answer the question.
3. Then you must choose keep the box or give the box to the
other team.
Be careful in choosing keep/give the box because the points in
the box can be good or bad. The team with the higher points
will win the game.
Are you ready?
Yes, we are!
Box A (Question)
1. Is it a polygon or not?
A Polygon
Box B (Question)
2.
Is it a polygon or not?
Not a Polygon
Box C (Question)
3. Is it a polygon or not?
A Polygon
Box D (Question)
4. Is it a polygon or not?
A Polygon
Box E (Question)
5. Is it a polygon or not?
Not a polygon
Box F (Question)
6. Is it a polygon or not?
A polygon
E. Discussing new concepts and practicing new skills #1
“Figure Me Out”
Directions: Name the following polygon according to its
sides and answer the guide questions by declaiming or singing using
the knowledge you have learned in English/Music subject.
Declaiming: to express something with strong feeling, especially in a
loud voice or with forceful language
Singing: is the act of producing musical sounds with the voice
1
2
3
1.Triangle
2.Pentagon
4
5
3.Hexagon
4.Octagon
Guide Questions:
1. What are your basis in naming the given figure?
2. What is a polygon?
Wow! You got all correct.
5.Decagon
Possible answer: The basis in
naming the given figures are by
counting the vertices, sides and
angles.
Possible answer: Polygon is a
plane figure with at least three
straight sides and angles,
typically five or more.
English Integration: Present their answer by declaiming.
Music Integration: Present their answer by singing.
Now, I think we should proceed to our discussion today! Are you
ready?
Yes, we are!
Take a look at this picture.
Yes, ma’am.
Is it familiar with you?
Localization: This photo was taken in Bustos Dam Eco Park at
Tibagan, Bustos, Bulacan. This is one of the beautiful spots here in
Bustos, Bulacan.
What is the most visible shape have you noticed in this picture?
Square/Quadrilateral
Very Good!
Now, let’s crop quadrilateral from the image above.
N
M
O
L
A quadrilateral is a polygon, a closed plane figure. It has four sides,
four angles and four vertices.
The line segments where the lines meet are called vertices. They do
not cross to each other.
The line segments are called sides.
The four vertices are L,M,N,O
Can you give the four vertices?
Very Good!
Can you enumerate four angles?
The four angles are ∠L, ∠M,
∠N, ∠O
Excellent!
How about four sides?
Correct!
Therefore,
LMNO is a regular polygon.
Types of Polygon
“Tri” means three. Triangle has three sides
and 3 angles.
“Quad” means four. Quadrilateral has four
sides and four angles
“Penta” means five. Pentagon has five sides
and five angles.
“Hexa” means six. Hexagon has six sides and
six angles.
The four sides are LM, LO,
MN, NO
“Hepta” means seven. Heptagon has seven
sides and seven angles.
“Octa” means eight. Octagon has eight sides
and eight angles.
“Nona” means nine. Nonagon has 9 sides and
9 angles.
“Deca” means ten. Decagon has ten sides and
ten angles.
F. Discussing new concepts & practicing new skills #2
Properties of Polygon
a. Regular Polygon has same length in sides and same
measurement in angles.
Regular Polygon
b. Irregular Polygon has an unequal side or angle.
Irregular Polygon
Another examples:
An irregular polygon
st
What properties is shown in this 1 figure?
What properties is shown in this 2nd figure?
What properties is shown in this 3rd figure?
Now, let’s proceed to similar and congruent polygon.
Similar Polygon – have the same shape but different sizes
An irregular polygon
A regular polygon
Congruent Polygons – when two polygon have the same size and
shape.
Let’s have another examples.
Similar Polygon
Is it a similar or congruent polygon?
Congruent Polygon
Is it a similar or congruent polygon?
Similar Polygon
Is it a similar or congruent polygon?
Is it a similar or congruent polygon?
Congruent Polygon
G. Developing Mastery (Leads to Formative Assessment 3)
Group Activity (Differentiated Activities/Instructions)
Group 1 - Team Dora - Very Easy
Direction: Name each polygon below
1
2
3
1.Heptagon
2.Hexagon
3.Pentagon
4.Heptagon
5.Nonagon
4
5
Group 2 – Team Boots - Easy
Direction: A. Check on the space provided for each number that best
describes the given figures
1. the two figures are
✓
Congruent
_______ Similar
_______ Congruent
_______ Similar
2. the two figures are
✓
_____
Not Congruent
Not Similar
_______Not Congruent
_______Not Similar
3. the two figures are
_______ Congruent and Similar
_______ Not Congruent and not Similar
_______ Congruent and Similar
✓
Not Congruent and
not Similar
Direction: B. Illustrate what is being asked inside the box provided
Possible answer:
4. Four-sided polygons that are
not congruent and not similar.
5. Two figures that are
congruent
Values Integration: What is the key to make your work done easily?
Possible answer:
(student’s answer may vary)
H. Finding Practical Applications of concepts and skills in
daily living
Use of Games: FACT OR BLUFF
Now let us apply what you have learned.
Direction: Write FACT if the statement is true and BLUFF if not.
1. The tiles that you walk on are squared in shape, which implies that
they are polygons.
1.The answer is FACT
2. The circle shape of a wall clock is a polygon.
2.The answer is BLUFF
3. The rectangular-shaped screen of your laptop, television, or mobile
phone is an example of a polygon.
3.The answer is FACT
4. The Pyramids of Egypt are also a polygons (triangular).
5.The answer is BLUFF
5. The heart-shaped balloon in the party is an example of a polygon.
I. Making Generalizations & Abstractions about the lessons
Direction: Complete the table by filling it with names of polygons or
number sides alternately.
4.The answer is FACT
POLYGON
Triangle
NUMBER OF SIDES
5
Nonagon
8
Quadrilateral
6
Heptagon
10
How many sides are there in triangle?
There are 3 sides in a triangle.
What polygon having 5 sides?
The five-sided polygon is
pentagon.
How many are the sides of nonagon?
There are 9 sides in nonagon.
What polygon with 8 sides?
The polygon with 8 sides is
octagon.
How many sides are there in quadrilateral?
What is a six-sided polygon?
There are 4 sides in
quadrilateral.
A six-sided polygon is hexagon.
What is the number of sides in heptagon?
7 is the number sides in
heptagon.
What is a ten-sided polygon?
The ten-sided polygon is
decagon.
What is the difference between regular and irregular polygon?
The difference between regular
and irregular are Regular has
same length in sides and same
measurement in angles while
Irregular has an unequal sides
or angles.
J. Evaluating Learning
Application of Games: DEAL or NO DEAL
Direction: Write DEAL on the blank if the statement is true and NO
DEAL if it is false.
___ 1. A heptagon has 6 sides.
___ 2. A Regular Polygon has equal sides and equal angles.
___ 3. A pentagon has 5 angles.
___ 4. Decagon has 10 sides.
___ 5. Polygons are closed shapes with straight sides.
___ 6. A polygon with eight sides is a nonagon.
___ 7. Circle is considered a polygon.
___ 8. Irregular Polygon has sides that are not equal length and angles
that are not equal.
___ 9. Similar figures have the same shape but not the same size.
___ 10. Congruent figures have the same shape and the same size.
1.NO DEAL
2.DEAL
3.DEAL
4.DEAL
5.DEAL
6.NO DEAL
7.NO DEAL
8.DEAL
9.DEAL
10.DEAL
K. Additional activities for application or remediation
Direction: Draw a polygon based on the given characteristics.
1. Draw a pentagon with five equal sides.
2. Draw a hexagonal frame. Draw or paste your family inside the
frame.
3. Draw an octagonal sign. Write the initial of your name inside.
4. Draw a regular hexagon.
Name it PQRSTU.
5. Draw a regular pentagon.
Name it ABCDE.
Prepared by:
JENNIFER S. SANTOS
Teacher III