Uploaded by Angela Camille Cariaga

DLL Q3-MATH 9 WEEK 3-The Midline Theorems and Theorems on Kites and Trapezoids

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DAILY
LESSON LOG
School
Teacher
Date and Time
SAN AGUSTIN INTEGRATED SCHOOL
ANGELA CAMILLE P. CARIAGA
March 7-11,2022
(10:00-11:00)
Monday
Tuesday
Grade Level
Subject
Quarter
Wednesday
9
Mathematics
THIRD
Thursday
Friday
I. OBJECTIVES
A. Content Standards
B. Performance Objective
C. Learning Competencies/ Objectives
( Write the LC code for each)
II.CONTENT ( Subject Matter)
III.
A.
1.
2.
3.
4.
LEARNINGRESOURCES
References
Teachers Guide pages
Learners Material Pages
Textbook pages
Additional Materials from LRDMS
B. Other Learning Resources
IV. PROCEDURES
The learner demonstrates understanding of key concepts of quadrilaterals and triangle similarity
The learner is able to investigate, analyze, and solve problems involving quadrilaterals and triangle similarity through appropriate and accurate representation.
The learner proves and apply the Midline Theorem. (M9GE-IIId-1)
The learner proves theorems on trapezoids and kites. (M9GE-IIId-2)
Midline Theorem
The Midsegment Theorem of
Trapezoid
Theorems on Isosceles
Trapezoid
Theorems on kITES
Weekly Quiz
TG MATH 9, pp. 216 – 217
LM MATH 9, pp. 329-331
TG MATH 9, pp. 216 – 217
LM MATH 9, pp. 329-331
TG MATH 9, pp. 217-218
LM MATH 9, pp. 330-331
TG MATH 9, pp. 218-219
LM MATH 9, pp. 331-334
TG MATH 9, pp. 219-220
LM MATH 9, pp. 335-336
Mathematics Quarter 3 - Module 3
Mathematics Quarter 3 - Module 3
Internet/ visual aids
Preparatory Activities
1. Prayer
2. Attendance/ assignment
3. Classroom management
Internet/ visual aids
Preparatory Activities
1. Prayer
2. Attendance/ assignment
3. Classroom management
A. Reviewing past lesson or Presenting
the new lesson
Have you been to Sky Ranch
Tagaytay where the biggest ferris
wheel can be found?
Pre-Assessment:
(page 1 of Q3-Math Module 3)
Mathematics Quarter 3 Module 3
Internet/ visual aids
Preparatory Activities
1. Prayer
2. Attendance/
assignment
3. Classroom
management
Preliminary Activity:
“4 PICS 1 WORD”
B. Establishing a purpose of the new
lesson
REAL LIFE APPLICATION OF
MIDLINE THEOREM. (Ask to the
learners)
1. What is the shape of the
free-throw lane above?
2. Describe the angles
inside the 4-sided figure
3.Which sides of the figure
appear to be parallel?
Congruent?
Mathematics Quarter 3 - Module 3
Internet/ visual aids
Preparatory Activities
1. Prayer
2. Attendance/ assignment
3. Classroom management
Preliminary Activity:
ANAGRAM
Have you already been to
Picnic Grove? Did you know that a
simple kite flew at the Picnic Grove
shared the properties of the
geometric figure called a kite?
Mathematics Quarter 3 Module 3
Preparatory Activities
1. Prayer
2. Attendance/
assignment
3. Classroom
management
Performance
Task and ULAT
Performance
Task and ULAT
C. Presenting Examples/ instances of
the new lesson
What is trapezoid?
The trapezoid is another type of
quadrilateral that is equally
important as a parallelogram.
D.
Discussion of the lesson
through illustrative
examples. (Proving)
Discussion of the lesson through
an illustrative example with
explanation,
Discussing new concepts and
practicing new skills no.1.
The segment that joins the
midpoints of a trapezoid's legs is
called the median.
The Midsegment Theorem of
Trapezoid
Theorem 2: The median of a
trapezoid is parallel to each base
and its length is one half the sum of
the lengths of the bases.
E. Discussing new concepts and
practicing new skills no.2
Activity A
Questions:
• Does EF̅̅̅̅̅̅̅̅ look parallel to the
trapezoid’s base?
• Measure EF̅̅̅̅̅̅̅̅ using your ruler.
How long is it?
• What is the sum of the bases of
trapezoid ABCD?
• Compare the sum of the bases
and the length of EF̅̅̅̅̅̅̅̅ . What did
you find?
Activity B
Questions:
• What two pairs of angles formed
are base angles?
• Compare the measures of the
angles in each pair. What did you
find?
Illustrative Examples
Analysis
Use a two – column proof to
answer the activity.
Given: Kite ROPE
Prove: Area of kite ROPE = ½
(OE)(PR)
Analysis
F. Developing Mastery (Leads to
Formative Assessment 3.)
What is Midline Theorem?
Midline Theorem
Theorem 1: The segment joining
the midpoints of a triangle's two
sides is parallel to the third side
and half as long.
TRAP is an isosceles
trapezoid with median
.
Determine the relation
exists between each of the
following:
G. Finding practical application of
concepts and skills in daily living
A lot of kids love to play on
the different rides and one of
it
is
the
swing.
Activity 5.
TRIAD
Let the learners go outside the
classroom and look for at least three
objects or structures with trapezoidal
shape. Let them prove it using the
measurement of its sides and
angles.
Many different kinds of
ornamental/ medicinal
plants are found in
Tagaytay because of its
good climate. Restaurants
like Sonya’s Garden is
popular for their fresh and
organic dishes, considering
this pot of fresh flowers.
Find HR.
Given: MARI is a kite with
diagonals
and
complete
the following:
Given: JKLM is a kite with
and
Prove: ∠K
∠M
It is ________ that
and
. By the ________
Property ≌ . This means that
ΔJKL ≌ ΔJML by ________ So
∠K ≌∠M by ________.
H. Making Generalization and
abstraction about the lesson
A midline of a triangle is parallel
to a side of the triangle and its
length is half the length of that
side.
The Mid segment Theorem
The median of a trapezoid is
parallel to each base and its length
is one half the sum of the lengths of
the bases.
Things to remember:
1. Base angles of an
isosceles trapezoid are
congruent.
2. Diagonals of an
isosceles trapezoid are
3.
The median of a
trapezoid is parallel to
the base and its length
is half the sum of the
lengths of the bases.
The median of a trapezoid
bisects each of the
diagonals.
Things to remember
1. The diagonals of a kite are ⊥.
2. Exactly one pair of opposite
∠s is ≌.
3. Exactly one diagonal of a
kite bisects a pair of
opposite ∠s.
I.
Evaluating learning
Assessment (pages 13-14 of Q3Math Module 3)
J. Additional activities for application
and remediation
Cite example that midline theorem
is applicable to real life situation.
. Cite example that TRAPEZOID is
applicable to real life situation.
Study two column proof.
V.REMARKS
VI.REFLECTION
A. No. of learner who earned 80%
B .No. of learner who scored below 80% (
needs remediation)
C. No. of learners who have caught up with
the lesson
D. No of learner who continue to require
remediation
E. Which of my teaching strategies work
well? Why?
F. What difficulties did I encounter which
my principal /supervisor can help me
solve?
G. What innovation or localized materials
did I use/discover which I wish to share
w/other teacher?
Prepared by:
Noted:
ANGELA CAMILLE P. CARIAGA
Teacher I
VICTORIA P. ROMBO
OIC/HT III
ULAT (Content Standard
and Performance Standard)
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