Republic of the Philippines
Department of Education
National Capital Region
Schools Division of Marikina City
Jesus Dela Peña National High School
MATHEMATICS 9
QUARTER 2
LESSON 1
Classroom Observation 2
11/07/2023
TEMPERATURE CHECK
HAPPY
EXCITED
SAD
LOVELY
NERVOU
S
SLEEPY
 Come to Class on Time Classroo
 Be Ready to Learn
m
 Be prepared every day
Rules
with required items.
 Listen and Follow
Directions
 Raise your Hand to
Speak
Look Back On
Determine the underline phrase if it is an
independent variable or a dependent variable by
writing IV for independent variable and DV for
dependent variable. Write your answer on your
white board.
1. The monthly water bill to the
monthly water consumption IV
2. The time going to school from the
D
house to the walking speed
V
3. The amount of paint used to cover it
to the area of the wall. IV
4. The number of days to finish a job to
the number of people needed to do a job
D
V
Variation Equation!
Translate the following statements into
variation equation if the independent variable
(x) and the dependent variable (y). Write
your answer on your whiteboard.
1. The monthly water bill to the
y = kx
monthly water consumption
2. The time going to school from the
house to the walking speed
y = k/x
3. The amount of paint used to cover it
to the area of the wall.
y = kx
4. The number of days to finish a job to
the number of people needed to do a job
y = k/x
“Variation
on a Photo”
Identify the photo if it is a direct or inverse
variation, then write your answer on your
whiteboard.
Note: Look the Hint.
Hint: Electric Consumption and electric bill
DIRECT VARIATION
If your monthly electric
consumption increases
then your monthly
electric bill also
increases. However, if the
monthly electric
consumption decreases
then the monthly electric
bill decreases.
Hint: Number of people and number of slices of
pizza
INVERSE VARIATION
When there are many
people sharing one
whole pizza, the
number slices
increase. However,
when there are only a
few, the number of
slices decrease.
Hint: Luksong Tinik-Obstacle and Jump
DIRECT VARIATION
In the traditional
Filipino street game
Luksong Tinik, the
higher level of
obstacle, the higher
jump is required. The
lower level of the
obstacle, the lower
jump is required.
Hint: The number of people connected to wifi and
speed
INVERSE VARIATION
When there are many
people who use are
connected to a WIFI
connection, its speed gets
slower. On the other
hand, if there are only
few people who use it, its
speed gets faster.
1. Does the change in
one quantity affect a
change in the other?
Explain.
QUESTIONS:
2. What is the
difference of direct
variation from inverse
variation?
Direct and Inverse
Variation Models
Activity
GROUP ACTIVITY
Instructions:
 Create three teams.
 Each of your team will be given 7 minutes to finish
its task.
 Once you’re done, each team will be given another
3 minutes to explain or perform the said task in
front of the class.
 You will be evaluated using a rubric and a feedback
will be given for each of your performance. Every
representative of the group will also give his/her
feedback to presentation of each group and a
rating to the performance based on a rubric.
Group Tasks
“Price, Supply &
Demand Variation
Model”
Read and analyze the
scenarios. Make a
table , then graph the
data obtained. Then,
answer the guide
questions below and
write your answer on
a cartolina.
“Clock and Coins
Variation Model”
“Area-Perimeter
Paper Variation
Model”
Make an observation
on the clock and coins
activity. Complete the
table , then graph the
data obtained. Then,
answer the guide
questions below and
write your answer on a
cartolina.
Do the square paper
activity. Complete the
table , then graph the
data obtained. Then,
answer the guide
questions below and
write your answer on a
cartolina.
Rubrics
Criteria
Exemplary
4
Accomplished
3
Developing
2
Students mostly follow Students sometimes
directions.
follow directions.
Beginning
1
Following
instructions
Students follow
directions.
Content
Actual Information is
Information is clear and Some information
well presented, clear
correct throughout
presented is not
and correct throughout. most of the
clear/incorrect/cursory.
presentation.
Time
Management
Members finish the
activity ahead of time
with complete data.
Members finish on time Members finish on time Members do not
with complete data.
with incomplete data.
finish on time with
incomplete data.
Cooperation
& Teamwork
All members
contributed an equally
significant role to the
task.
Some members did not Not all members
No members
contribute to the task. contributed to the task. contributed to the
Only 1 and 2 members. task.
Neatness &
Orderliness
Clean and orderly
Clean and orderly
workplace at all times
workplace occasional
during and after activity mess during and after
activity
Clean but not orderly
workplace during and
after activity
Student does not
follow directions.
Information is
incorrect or cursory
Messy workplace
during and after
activity
Direct and Inverse
Variation Models
Activity
GROUP ACTIVITY
GROUP ACTIVITY
PRESENTATION
GROUP
PRESENTATION
FEEDBACKING
What are your key
takeaways?
 Two quantities are said to be in direct variation if
an increase in one quantity leads to an increase in
the other quantity or vice versa. It can be
expressed as y = kx.
 Two quantities are said to be in inverse variation if
an increase in one quantity leads to a decrease in
the other quantity or vice versa. It can be
expressed as y = k/x
Exercise Tayo!
Classify whether the given is direct
variation or inverse variation, then write
your answer on the whiteboard.
DIRECT
VARIATION
An employee’s
salary (s) varies
directly as the
number of days
(d) he has
worked.
INVERSE VARIATION
The graph on the
left represents the
relation of the time
in hours to do the
job y to the number
of workers x.
The table below values for the cost (c) of
apple and number (n) of
apple:
DIRECT
VARIATION
n
c
2
4
6
8
50 100 150 200
INVERSE
VARIATION
LEARNING
TO
KEEP
Using the Venn Diagram, provide the similarities and
differences of direct and inverse variation.
Direct Vs. Inverse
y varies directly as x
y varies inversely as x
Variations
𝒌
y=
𝒙
2 Quantities
k = xy
y = kx
𝒚
k=
𝒙
Its graph always runs
through the origin
Linear
Its graph never runs
through the origin or
crosses an axis
Non-linear
Assessment
Time!
Homework!
In module 8, do the What I can do Activity.
M, A, T, H (2X)
WE LOVE MATH
WE LOVE MATH
IT IS SO
EXCITING
VERY INTERESTING
WE LOVE MATH(2X)
MATH
SONG