WEEKLY HOME
LEARNING PLAN
School
Bacoor National High School-Tabing Dagat
Grade Level
Teacher
Angeline C. de Mesa
Jamaica C. Semana
Rachelle C. Palapar
April 18-22, 2022
Week
8
1
Quarter
4
Date
Day
and
Time
Learni
ng
Area
Learning
Competency
Learning Tasks
6:00-6:30
Have a Short Exercise.
6:30-7:00
Preparations before attending classes.
Tuesday
(For
Modular
Printed/
Modular
Digitized)
Mathe
matics
7:0011:15
Asynchro
nous
Tuesday
(For
Blended
Class)
7: 00 – 9:
00
Sychrono
us
9:15 –
11:15
Asynchro
nous
MELC 43
Illustrate theorems
on triangle
inequality
(exterior angle
inequality
theorem,
triangle inequality
theorem, hinge
theorem).
(M8GE-IVa-1)
Jennifer C. Caagbay
Karen M. Montaňo
INTRODUCTION
The concepts and skills that you will learn in this module is on Triangle inequalities, which will
improve your attention to details and shape your deductive thinking. After going through this
module, you are expected to:
1. Illustrate theorems on triangle inequality (exterior angle inequality theorem,
triangle inequality theorem, hinge theorem).
You will be guided by this chart in learning this lesson.
Mode of
Delivery
Kukunin at
ibabalik ng
magulang ang
mga
Modules/Activity
Sheets/Outputs sa
itinalagang
Learning
Kiosk/Hub para sa
kanilang anak.
PAALAALA:
Mahigpit na
ipinatutupad ang
pagsusuot ng
facemask/face
shield sa pagkuha
at pagbabalik ng
mga
Modules/Activity
Sheets/Outputs sa
mga paaralan.
Pagsubaybay sa
progreso ng mga
mag-aaral sa
bawat gawain sa
pamamagitan ng
text, call fb, at
internet.
DEVELOPMENT
(For Blended Class)
To know about triangle inequalities,
https://youtu.be/Vb0JQvwlNCA
Lesson 1
Exterior Angle Theorem
let’s see how it works with the help of this link:
Numero at
Facebook ng
Guro
Angeline C. de Mesa
09661395483
https://www.faceboo
k.com/angeline.deme
sa.988
Jennifer C. Caagbay
0968 498 4310
web.facebook.com/c
elestinecast/
Jamaica C. Semana
0909 894 9328
https://www.faceboo
k.com/jam.sem.750
Karen M. Montaňo
09056995792
https://www.faceboo
k.com/profile.php?id=
100041480522104
Rachelle C. Palapar
https://www.faceboo
k.com/rachelle.palap
ar.1
Lesson 2
Oras na
maaaring
makipagugnayan sa mga
guro: LunesBiyernes (8:0011:00AM, 1:004:00PM)
Lesson 3:
In geometry, the Hinge Theorem states that if two triangles have two congruent sides (sides of
equal length), then the triangle with the larger angle between those sides will have a longer
third side.
Since ∠F <∠C, therefore AB < DE Since ∠H=∠N, therefore: FG = LM.
Converse of Hinge Theorem states that if two triangles have two congruent sides, then the
triangle with the longer third side will have a larger angle opposite that third side.
ENGAGEMENT
 For you to be able to apply the concepts on triangle inequalities, answer this learning tasks.
Learning Task 1
Using a piece of paper, follow the instructions below.
1. Draw a triangle and name it as ∆BOD.
2. Put point Y on the right side of the triangle.
3. Extend line segment OD to point Y.
4. Identify the exterior angle of the triangle and its two remote interior angles.
5. Now, cut the two remote interior angles and paste it on the exterior angle.
6. Observe.
Questions:
1. State the relationship between the exterior angle of a triangle and how it compares to the
two remote interior angles of a triangle.
2. Is there another pattern or relationship that you notice about the sum of the two remote
interior angles compared to the exterior angle of a triangle? Explain.
Making Conjecture: Your comparison between the measure of an exterior angle of a triangle
and either remote interior angle in this activity describes the Exterior Angle Inequality Theorem
which states that the measure of an exterior angle of a triangle is greater than any of its two
remote interior angles.
Learning Task 2
Using the figure on the right, write the correct relation symbol (>, < or =) given the following
situations.
A. In ∆LRN, m∠L = 61° and m∠R = 48°. B. In ∆LRN, LN = 8cm, RN = 12cm and LR = 15cm.
1. LN _____ RN
4. m∠ L _____ m∠N
2. LR _____ LN
5. m∠ N _____ m∠ R
3. RN _____ LN
Learning Task 3
Write the letter of the correct answer on the space provided
before each number.
_____ 1. Which of the following illustrates Hinge Theorem?
_____ 2. Which of the following illustrates Converse of Hinge Theorem?
ASSIMILATION
Using the figure at the right, choose the correct statement from the box to supply what is
being asked to illustrate the hinge theorem.
Write only the letter of the orrect answer on
the space provided before each number.
_____1. Congruent sides of the triangles.
_____2. Compare AC with DF.
_____3. Using the figure on the right, which statement below DOES NOT illustrate the hinge
theorem? a. JG ⩭ PL b. HG ⩭ KL c. HJ > KP d. HJ ⩭ K.
PERFORMANCE TASK 1
Prepare some stips of paper. Cut them according to the given measurements, then determine
which of the given sets will form a triangle, paste your output on a short bond paper and write
if it forms a triangle or not.
1) 12cm, 8cm, 6cm
2) 4cm, 9cm, 21cm
3) 9cm, 15cm, 17cm
4) 3cm, 8cm, 10cm
5) 5cm, 10cm, 15cm
Rubrics:
Points
Illustration
Accuracy
Mathematical
Concept
3
The student
illustrates all 5/5
given correctly.
The measurement of
the strips are
measured
accurately.
The student’s work
clearly shows the
concept of triangle
inequality theorem
3.
2
The student
illustrates atleast 3/5
given correctly.
Some of the strips
are not measured
accurately.
1
The student
illustrates only 1/5
given correctly.
All strips are not
measured
accurately.
The student’s work
barely shows the
concept of triangle
inequality theorem
3.
The student’s work
do not show the
concept of the
triangle inequality
theorem 3.
REFLECTION
You are at the last part of this lesson, complete the following phrases below.
I understand that___________________________________
I realize that________________________________________
I need to learn more about _________________________
Prepared by:
Angeline C. de Mesa
Teacher I
Checked by:
Domingo P. Eroles
Head Teacher VI