Uploaded by Angela Camille Cariaga

DLL Q3-MATH 9 WEEK 5-Proportion

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DAILY
LESSON LOG
School
Teacher
Date and Time
SAN AGUSTIN INTEGRATED SCHOOL
ANGELA CAMILLE P. CARIAGA
March 21-25, 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. LEARNINGRESOURCES
A. References
1. Teachers Guide pages
2. Learners Material Pages
3. Textbook pages
4. Additional Materials from LRDMS
B. Other Learning Resources
IV. PROCEDURES
A. Reviewing past lesson or Presenting
the new lesson
B. Establishing a purpose of the new
lesson
The learner demonstrates understanding of key concepts of parallelograms and triangle similarity.
The learner is able to investigate, analyse, and solve problems involving parallelograms and triangle similarity through appropriate and accurate representation.
The learner describes a proportion. (M9GE-IIIf-1)
The learner applies the fundamental theorems of proportionality to solve problems involving proportions. (M9GE-IIIf-2)
The learner illustrates similarity of figures. (M9GE-IIIg-1)
The learner proves the conditions for similarity of triangles, by AA similarity theorem. (M9GE-IIIg-h-1)
The learner proves the conditions for similarity of triangles, by SSS similarity theorem. (M9GE-IIIg-h-1)
Fundamental theorems of
Fundamental theorems of
Proportion
Proportion
WEEKLY QUIZ
proportion
proportion
TG MATH 9, pp. 232-234
LM MATH 9, pp. 356-363
TG MATH 9, pp. 232-234
LM MATH 9, pp. 356-363
Internet/ visual aids
Preparatory Activities
1. Prayer
2. Attendance/ assignment
3. Classroom management
Internet/ visual aids
Preparatory Activities
4. Prayer
5. Attendance/ assignment
1. Classroom management
Preliminary
1.
Pre-Assessment
Express the following as
ratio:
2 meters to 40 centimeters
3 weeks to 6 days
25 minutes to 2 hours
6 years to 1.5 decades
a century to a decade
Preliminary
2.
Pre-Assessment
Express the following as
ratio:
2 meters to 40 centimeters
3 weeks to 6 days
25 minutes to 2 hours
6 years to 1.5 decades
a century to a decade
The teacher will show different
pictures in the monitor and the
learners will describe/explain what
they have noticed.
The teacher will show different
pictures in the monitor and the
learners will describe/explain what
they have noticed.
TG MATH 9, pp. 232-234
LM MATH 9, pp. 358-361
Internet/ visual aids
Preparatory Activities
2. Prayer
3. Attendance/
assignment
1. Classroom management
TG MATH 9, pp. 232-234
LM MATH 9, pp. 358-361
Internet/ visual aids
Preparatory Activities
4. Prayer
5. Attendance/ assignment
2. Classroom management
TG MATH 9, pp. 241-243
LM MATH 9, pp. 370-372
Internet/ visual aids
Preparatory Activities
1. Prayer
2. Attendance/ assignment
3. Classroom management
Activity:
ANSWER MO, SHOW MO
The properties that follow
show several ways of rewriting
proportions that do not alter
the meaning of their values.
1.
The properties that follow show
several ways of rewriting
proportions that do not alter the
meaning of their values.
Activity:
I CHALLENGE YOU!
C. Presenting Examples/ instances of
the new lesson
1. Express the following ratios:
a. 1 m to 20 cm
Solution: 1 m = 100 cm
2. Express the following ratios:
d. 1 m to 20 cm
Solution: 1 m = 100 cm
b.
5 days to 2 weeks
Solution: 2 weeks = 14 days
e.
5 days to 2 weeks
Solution: 2 weeks = 14 days
Think-Pair-Share
Discussing new concepts and practicing
new skills no.1.
c. side of an equilateral triangle
to its perimeter
f. side of an equilateral triangle to
its perimeter
Solution:
Solution:
Unlock difficulties:
In the proportion a:b = c:d, a
and d
are called the extremes of the
proportion while b and c are the
means.
In a proportion, the product of
the means equals the product of
the extremes
Unlock difficulties:
In the proportion a:b = c:d, a and
d
are called the extremes of the
proportion while b and c are the
means.
In a proportion, the
product of the means
equals the product of the
extremes
Think-Pair-Share
Solve for x in the
proportionality.
1.
=
2.
=
3.
=
4.
2:3 = 11: (X+3)
(2X + 1) : 15 = X : 7
D. Discussing new concepts and
practicing new skills no.2
E. Developing Mastery (Leads to
Formative Assessment 3.)
F. Finding practical application of
concepts and skills in daily living
Guided Practice (Let’s Do This!)
Guided Practice (Let’s Do This!)
Are the following ratios
proportional?
Answer with yes or no
If the answer is no, give a ratio,
proportional to either of the given
ratios.
Are the following ratios
proportional?
Answer with yes or no
If the answer is no, give a ratio,
proportional to either of the given
ratios.
Application:Let’s Do More!
Application:Let’s Do More!
What I ratio?
Proportion is the equality of
two ratios.
Fundamental Rule of Proportion
What I ratio?
Proportion is the equality of two
ratios.
Fundamental Rule of Proportion
Assessment:
Challenge yourself!
Assessment:
Challenge yourself!
H. Evaluating learning
Solve for x in the proportionality.
5.
=
6.
=
7.
=
8.
Activity
Guided Questions
2:3 = 11: (X+3)
(2X + 1) : 15 = X : 7
Solve each Proportion.
Solve each Proportion.
Apply the fundamental law of
proportion by finding the
missing variable. Write the
answer on the blank before the
number.
Apply the fundamental law of
proportion by finding the missing
variable. Write the answer on the
blank before the number.
Problem solving Activity
G. Making Generalization and
abstraction about the lesson
Illustrative Examples
If w:x = y:z, then
w y

x z
provided that x ≠ 0; z ≠ 0.
Problem solving Activity
If w:x = y:z, then
w y

x z
provided that x ≠ 0; z ≠ 0.
Solve each proportion. Solve each proportion. Leave your
Leave your answer as a answer as a fraction in simplest
fraction in simplest form. form.
Analysis
Use the SSS Similarity
Theorem in writing an ifthen statement to describe
an illustration or in
completing a figure based
on an if-then statement.
Write the statements or
reasons that are left blank
in the proof of SSS
Similarity Theorem.
SSS Similarity Theorem
Two triangles are similar if
the corresponding sides of
two triangles are
proportional
If the triangles are similar,
write a similarity statement
between each pair of
triangles.
I.
Additional activities for application
and remediation
Supply the missing
numbers or variables which will
make the statement
proportionality.
Supply the missing
numbers or variables which will
make the statement proportionality.
1.
1.
2.
2.
Assignment:
Follow-up
3.
3.
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:
ANGELA CAMILLE P. CARIAGA
Teacher I
Noted:
VICTORIA P. ROMBO
OIC/HT III
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