determiningthedependentandindependentvariablesautosaved-221125062001-e11bf218.pptx

Determining the
Dependent and
Independent
Variables
Presented by:
MA. LOIEL SALOME M. NABELON
Secondary School Teacher I
Mathematics 8 – Quarter II

Basketball
OBJECTIVES
OBJECTIVES
 Determine the independent and
dependent variables.
 Appreciate the importance of dependent
and independent variables in daily living.

Basketball
OBJECTIVES
Who among you lives with
your parents?
Can you live without your
parents?
Are you a dependent or an
independent individual?

Activity 1: Let’s Connect!
Direction: Match column A which represents a situation
to column B which represents the result
COLUMN A
1. We received 7 inches of
rain in 4 hours.
2. I never brush my teeth.
3. Smoking cigarettes.
4. I push down on the
stapler.
5. He broke his arm.
COLUMN B
a. The doctor put it in a cast.
b. The papers are stapled
together.
c. The underpass was
flooded.
d. Lung cancer.
e. I have 5 cavities.
c
e
d
b
a

Group Activity: ANSWER MO, SHOW MO!
Directions: Complete the given statements by writing the
appropriate words on the box. Write your answer on the
show-me-board. When the time is up, you will raise your
answer to check whether your answer is correct or not.
temperature speed time
dimension kilogram

temperature speed time dimension
kilogram
1. The amount paid for sugar will depend on the number
of ____________ bought.
2. The coldness of a room is dependent on its ____________.
3. The number of letters typed is dependent on the
____________ used for encoding.
4. The volume of a figure is dependent on its ____________.
5. The winner in a marathon depends on his/her
____________.
kilogram
temperature
time
dimension
speed

Directions: Complete the given statements by writing the
appropriate words on the box. Write your answer on the
show-me-board. When the time is up, you will raise your
answer to check whether your answer is correct or not.
temperature speed time
dimension kilogram
The more __________ people spend using social
media,
the less they read books.
time

Basketball
OBJECTIVES
What is the difference between
independent and dependent variables?
 Independent variable is a variable that
will change by taking on different values.
It changes independently. In a relation,
independent variable controls the
dependent variable.
 It is generally represented by the
variable or what is referred to as
𝑥 −
the value.
𝑥 −

Basketball
OBJECTIVES
What is the difference between
 Dependent variable is a variable that is
affected by the independent variable, and
it changes in response to the independent
variable. In a relation, dependent variable
depends on the independent variable.
 It is generally represented by the
variable or what is referred
𝑦 −
to as the value.
𝑦 −

Basketball
OBJECTIVES
How do we know
which variable is independent and
which variable is dependent?
INDEPENDENT
VARIABLE
DEPENDENT
VARIABLE
It belongs on the x-axis
(horizontal line)
Identifies the input values
for a given function
A variable that represents a
quantity that is being
manipulated in an
experiment.
It belongs on the y-axis
(vertical line)
Identifies the outputs of the
function
A variable that represents a
quantity whose value
depends on how the
independent variable is
manipulated.

Basketball
OBJECTIVES
How do we know
which variable is independent and
which variable is dependent?
INDEPENDENT
VARIABLE
DEPENDENT
VARIABLE
Changed in a scientific
experiment to test the
effects on the dependent
variable.
A variable that stands alone
and does not respond to
other variables.
Cause
Changes in response to the
independent variable.
A variable whose value
depends on that of another.
Effect

Remembering Variables With DRY MIX
The DRY MIX acronym can help keep the variables straight:
 D is the dependent variable
 R is the responding variable
 Y is the axis on which the dependent or responding
variable is graphed (the vertical axis)
 M is the manipulated variable or the one that is
changed in an experiment
 I is the independent variable
 X is the axis on which the independent or
manipulated variable is graphed (the horizontal axis)

Activity 2: Determine Us!
Direction: Determine the variables as independent or
dependent.
Given Independent Dependent
1.the number of
hours of work
and salary

dependent.
1.the number of
hours of work
and salary
the number of
hours of work

dependent.
1.the number of
hours of work
and salary
the number of
hours of work
salary

dependent.
2. the number
of hours
boiling and
the number of
ounces of
water in pot

dependent.
2. the number
of hours
boiling and
the number of
ounces of
water in pot
the number of
hours boiling

dependent.
2. the number
of hours
boiling and
the number of
ounces of
water in pot
the number of
hours boiling
the number
of ounces of
water in pot

dependent.
3. the distance
covered and
the volume of
the gasoline

dependent.
3. the distance
covered and
the volume of
the gasoline
the volume of
the gasoline

dependent.
3. the distance
covered and
the volume of
the gasoline
the volume of
the gasoline
the distance
covered

dependent.
4. the number
of hours
studied to
grade on test

dependent.
4. the number
of hours
studied to
grade on test
the number of
hours

dependent.
4. the number
of hours
studied to
grade on test
the number of
hours
grade on test

dependent.
5. height of a
plant to the
number of
months
grown

dependent.
5. height of a
plant to the
number of
months
grown
number of
months grown

dependent.
5. height of a
plant to the
number of
months
grown
number of
months grown
height of a
plant

Basketball
OBJECTIVES
 Can you give some examples of
dependent and independent variables
in our lives?
Let me ask a question…

Basketball
OBJECTIVES
 How do you see the importance of
independent and dependent variables
in your daily living?

Basketball
OBJECTIVES
 Why is it important to identify
independent and dependent variables
in performing an experiment in your
Science subject?
 Understanding the differences
between independent and
dependent variables will help to
make all your science experiments
more successful.

Basketball
OBJECTIVES
 What is the difference between
 The independent variable is what you
change, and the dependent variable
is what happens because of the
change.
Generalization

Basketball
OBJECTIVES
 How do we represent independent and
dependent variables in mathematical
equations?
 Independent variable is represented
by “x” ,
while dependent variable is
represented by “y”.
Generalization

Quiz. (1/2 Crosswise)
Direction: Determine the dependent and independent
variables in the given real-life scenarios
Given Independent
Dependen
t
1.Dave measures the length
and width of each side of a
rectangle. He uses those
values to calculate the area
of the rectangle.
2. The G=number of gum balls,
that can be packaged in a
box with a V=volume of V

Given Independent
Dependen
t
3. Honey measures how many
inches (height) his tomato
plant grows every week.
4. James thinks of how much
electric bill she would pay at
the end of the month
considering the amount of
air conditioning she uses.

Given Independent
Dependen
t
5. Alexa wonders the amount
of fats and calories that her
favorite cookies gives her
every day.

Answers Key
Independent Dependent
1
Length and width of the side of
the rectangle
Area of the rectangle
2 V= volume G=number of gums balls
3
Number of weeks that the
tomato grows
Inches (height)
4 Amount of air conditioning used Amount of Electric bills
5
Number of cookies eaten Amount of fats and
calories

Assignment.
Direction:
In a short bond paper with 1x1 inch margin,
explain how independent and dependent
variables are related to domain and range.

Study Math
for
a Better Path
Thank you! 
May God bless us all.
Mathematics 8 – Quarter II

determiningthedependentandindependentvariablesautosaved-221125062001-e11bf218.pptx

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