1. Ang Mahiwagang Mensahe

2. Find the hidden message. What is hello in Hawaiian
language? Give the missing element to form a proportion.
Write in the blanks the letter that correspond to the answer.
A= 12
E = 8
H = 35
L = 9
M= 5
O = 6
1) 3: 8 = __ : 32
2) 5 : ___ = 35 : 63
3) 40:60 = ___: 9
4) 2:7 = 10: ___
5) ___: 20 = 18:30
___ ____ ____ ____ ___

3. What is direct and
inverse proportion?

4. How do you share
stuff with your
siblings?

5. Ciara and Cindy are twins. They always share
their things equally. Even their mother gives
them the same amount of anything, whether
money, toys, candies and others. But one day,
their father gave them 5 chocolates, 2
chocolates for Cindy and 3 chocolates for
Ciara.
What do you think each of the girls felt?
Why did their mother give them things equally?
If you were one the girls, what will you do?
Is it alright to have the same amount of things
as your other siblings? Why?

6. Cindy and Ciara found out that
there are things that can not be
shared equally. So one day, their
mother gave them Php 150 so that
the ratio is 2:3, 2 parts for Cindy
and 3 parts for Ciara. How much
did each girl receive?

7. Cindy Ciara Sum of
Money
2 x ₱1 = ₱2 3 x ₱1 = ₱3 ₱5
2 x ₱ 2 = ₱4 3 x ₱ 2 = ₱ 6 ₱10
2 x ₱3 = ₱ 6 3 x ₱ 3 = ₱ 9 ₱ 15
2 X ___ = __ 3 X ___ = __ P 150

8. Analyze and solve the problems by pair.
Two numbers are in the ratio 5:3. If the
sum is 88, find the 2 numbers.
Bar Modelling
The ratio of chairs to tables is 2:7. There are 180
chairs and tables in a party. How many are there
of each kind?

9. Analyze and solve the problems by pair.
The sum of two numbers is 215. If the
ratio is 2:3, find the larger number.

10. Solve the given problems.
The salary of two workers is in
the ratio 3:4. They received ₱
12,250.00. How much did each
worker receive?

11. Solve the given problems.
The ratio of Math books in a
class is 8 is to 5. How many
Math books are there if
there are 247 books in all?

12. Solve the given problems.
Three boys sold garlands in the
ratio of 2:3:4. Together they
sold 225 garlands. How many
garlands did each boy sell?

13. Group Activity
Mathyaga – The Glee Club and Dance club
accepted 72 new members. The ratio of the
members is 4:5. How many pupils were chosen
for each club?
Mathlinis –Eighteen liters of milk is transferred into
3 containers in the ratio 2;3:4. How Much water
is in each container?
Mathinik – A glass of jar has 64 chocolates. Mark,
Dave, and Ralph will share the chocolates in the
ratio 1:1:2. How many will each of them get?

14. Group Activity
Mathalino – A certain amount of money is
divided among Rio, Kim, and Leo in the
ratio 5:7:3. If Leo gets P 24,000.00. How
much is the total amount?
Mathgaling – The teacher-pupil ratio in a
preschool class is 1:20. The number of
girls is 3/5 of the number of boys. If there
are 200 boys, how many teachers are
there?

15. How do you solve word
problems involving partitive
proportion?
What are the processes
involved?

16. Meron pa bang naguguluhan
sa tatlong uri ng proportion?
Okie the skip muna tyo today

17. Evaluation: Set the following proportions and solve.
1. The ratio of cats to dogs is 6:5. There are 495
dogs and cats in a certain barangay. How many
cats and dogs are there?
2. Three numbers are in the ratio 2:5:7. If their
sum is 504, what are the three numbers?
3. The ratio of doors to windows is 1:5. There are
186 doors and windows in a building. How
many doors are there? Windows?

18. Evaluation: Set the following proportions and solve.
4. The ratio of the angles of a triangle is
3:4:5. Find the measure of each angle.
5. There are 80 animals in Luna’s farm. The
ratio of cows to carabaos to goats to
horses is 4:2:3:1. How many animals of
each kind are there in Luna’s farm?

19. Bonus
A bird is flying alone, After few minutes he
encounter a flock of birds. He wonder how many
birds are there in that flock but he is to shy to
ask. After few minutes, he encounter another
flock and this time he ask. How many are you in
this flock. The birds told him, we are double of
the 1st flock, when the 1st flock and our flock is
combined and you are included is 100. How
many birds in each flock.