The document discusses the concept of joint variation and provides examples of situations that illustrate joint variation, such as how the volume of a cylinder varies jointly based on its height and the square of the radius. Readers are given problems to solve involving joint variation and concepts are explained, such as how changing one quantity in a jointly varying relationship will affect the other quantity. Various examples are used to help conceptualize joint variation.

1. JOINT VARIATION
December 05, 2023

2. Picture Analysis
4 Pics 1 Word
With the use of the pictures
presented, guess what specific word fits
with the theme of the photos presented.
Use the jumbled letters as a hint. Illustrate
the association of those words.

7. Analysis
1.What comes in your mind when
you hear those words? What do
they represent?
2.How will you define produksyon in
your Social Studies class?
3. How do those words contribute to
production? Explain.

8. Culture Influence

9. Analysis:
1. What did you get from the video? What
did you understand on the video?
2. What are the elements of culture that
shaped and influence oneself, based on
the video?
3. How does these elements influence
oneself?
4. Can you cite a situation where the
interaction and correlation of a certain
elements or quantities is evident? How
does it affect one another?

10. Lets’ Focus
Consider the situation below:
Michael and his
friends decided to go on
a picnic with Michael
himself driving the car.
The table below shows
the distance travelled at
various speed and the
times when Michael
drives the car with an
interval of 50km.

11. 1. How will you compare the two table
above?
2.How are the quantities in each
situation related?
3.Does the change in one quantity affect
a change in the other? Explain.
4.Can you illustrate the relationship of
the situation above?
Analysis

12. Translate each statement into joint
variation equation.Use k as the constant
of variation.
1.P varies jointly as q and r.
2.V varies jointly as l, w, and h.
3.The area A of a parallelogram varies jointly as
the base b and altitude h.
4. The volume V of a cylinder varies jointly as its
height h and the square of the radius r.
5. The electrical voltage V varies jointly as the
current I and the resistance R.
What is Joint Together?

13. What is a joint variation?

15. Solve the following:
1.If F varies jointly as g and h, and f =
100 when g = 5 and h = 4, find f when
g = 3 and h = 6.
2.If A varies jointly as b and c, and a = 60
when b = 5 and c = 6, find a when b =
8 and c = 2
What’s Missing?

16. Lets’ Conceptualized
Given the diagram below, answer the
following:
1.Identify the dependent and independent
variables.
2.How the other variables affect one
another?
3.Illustrate the situation below into joint
variation equation.
Concept Mapping

18. Concept Mapping

19. Joint or disjoint
A. Tell whether the following situation illustrate joint
variation.
. The monthly salary (S) of a teacher is computed based on its
designation (d) as teacher and with the numbers (n) of days present.
2. The number(n) of day taught and the total number of test items(t)
determine the number of items per competencies. (C)
3. As the numbers of workers(w) increases the number of days work
decreases. (d)
4. The cost of mangoes per kilo is 80 pesos? How many kilos are
there in 1500 pesos?
5. The area of a parallelogram (P) is equal to the base (b) and the
altitude (a).

21. What’s in my mind and my heart!
Write a short article, any topic, illustrating
how importance the association of a certain
organization, parts or system is?
Example: How do discipline, responsibility
and initiative to learn help improve your study?
Make use of adjectives in your article. What
discipline/ value did you get from the article you
had created?