MATH 9 VARIATION

1. VARIATION
Joint Variation

2. 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

3. L
O
S
I

4. Lupa

6. Lakas Paggawa

8. Entreprenuer

10. Kapital

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

12. Lupa Paggawa
Kapital
Entrepreneur
ship
Produksiyon

13. Cook It Well!
The teacher will let the students
watch the video on how to make
espasol. Let the students understand
the importance of each ingredient in a
certain dish or recipe and the proper
use of measurements in cooking.

14. Cook It Well!

15. Analysis:
1.What did you get from the video? What did you
understand on the video?
2.What are the ingredients needed in how to make an
espasol? What is the importance of these ingredients?
Does the proper measurements of the materials
needed in a certain recipe or dish? Why?
3.How does proper use of ingredients and unit
measurements affect the quality of the recipe/dish?

16. Let’s 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.
Distance travelled at various speed
Distance Rate
50 km 25 kph
100km 50 kph
150km 75 kph
200 km 100 kph
250 km 125 kph

17. Distance travelled at various time
Distance Time Spend Driving
50 km 1 hr.
100 km 2 hrs.
150 km 3 hrs.
200 km 4 hrs
250 km 5 hrs.

18. Analysis:
1.How will you compare the two table above?
2.How are the quantities in each table related?
3.Does the change in one quantity affect a
change in the other? Can you illustrate the
relationship of the situation above?
4.Translate the given situation into an equation
given the k is the constant of variation.

19. What is Joint Together?
Translate each statement into mathematical sentence.
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.

20. What’s Missing?
Solve the following joint variation problem.
1. If F varies jointly as g and the cube of h, and f =
200 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.

21. Let’s Conceptualized!
Given the diagram below,
answer the following:
1. Identify the dependent and
independent variables.
2. How the other variables
affect one another? Explain.
3. Illustrate the situation
below into joint variation
equation
Community
(c)
Parents (p)
Learners (l)
SCHOOL (S)

22. What is joint variation?
What is the joint variation
equation?

23. Joint or Not-joint
A. Tell whether the following situation illustrate joint variation.
1. 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).
B. Classify whether the following illustrate joint variation or not.
1. y= ktw 3. 4. b = kabc
2.
5. k = bcd
tm
k
s 
kc
b
m 

24. What is 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 and initiative to
learn help improve your study? What discipline/
value did you get from the article you had
created?