MELC-BASED_MATH 6_QUARTER 2_WEEK 2_DEMOS

MATHEMATICS
QUARTER 2 WEEK 2
DAY 1

Directions: Read and analyze
each situation carefully. Then,
answer the questions that follow.
Tommy has 4 dogs and 5 cats.
A. The ratio of the number of dogs
to the number of cats is __ : __.
B. The number of dogs is __ of the
number of cats.
R E V I E W

What do you observe in the
picture?

FINDING A MISSING
TERM IN A PROPORTION
AND SOLVING
PROBLEMS INVOLVING
DIRECT, INVERSE, AND
PARTITIVE
PROPORTION

PROPORTION
Proportion is the statement of
two ratios that are equal.
Means are the two middle
numbers.
Extremes are the two outer
numbers.

FINDING THE MISSING
TERM IN PROPORTION
Mrs. Venzon bought 5 different types
of jellies for 120.00. At the same
₱
price, how much will she pay for 10
different types of jellies? To solve this
problem, write equal ratios. Let n be
the price of 10 different types of jellies.

FINDING THE MISSING
TERM IN PROPORTION
To solve this problem, write equal
ratios.
Let n be the price of 10 different
types of jellies.
=

FINDING THE MISSING
TERM IN PROPORTION
= 5 x n = 120 x 10
5n = 1200
n=1200
5
n=240 is the missing term.
Cross
Multiplication

A C T I V I T Y 1
Direction: Find the missing term of
the following given ratios. Write
your solution and answer.
1.
2.
3.

A C T I V I T Y 1
4.
5.

A S S E S S M E N T
1.
2.

MATHEMATICS
QUARTER 2 WEEK 2
DAY 2

Directions: Find the missing
term of the following given
ratios. Write your solution and
answer.
R E V I E W
1.
2.

R E V I E W
3.
4.
5. 816=2Y
5.

DIRECT PROPORTION
A direct proportion is a
relationship between two
quantities that increase or
decrease in the same ratio.

Solving Word Problems
Involving Direct Proportion
Example: In the relief operations for
COVID victims, 50 families in the
barangay had consumed 400 kg of rice
for 2 weeks. If there were only 200 kilos
of rice, how long will the families consume
this volume of rice?

Involving Direct Proportion
=
=
400 𝑥𝑛=2 𝑥200
𝑛=
400
400
𝑛=1

A C T I V I T Y 2
Directions: Find the missing term
in a direct proportion using any
methods learned.
1) 1 : 3 = ____ : 6
2) ____ laptops to 5 desktops = 6
laptops to 15 desktops

A C T I V I T Y 2
B. Write a proportion for the given
situation.
3) You can buy 3 pencils for 45.
₱
Write a proportion that gives the
cost of buying 7 pencils.
____ : ____ = ____ : ____

A C T I V I T Y 2
4) Two camping tents can
accommodate 8 boy scouts.
Write the proportion to find the
number of tents needed by 12
boy scouts.
____ : ____ = ____ : ____

A C T I V I T Y 2
5) Four curtains are needed to
cover 3 window panes. There
are 16 curtains. Write the
proportion that will give the
number of window panes.
____ : ____ = ____ : ____

A S S E S S M E N T
Directions: Read and solve the
problem using any of the methods
learned. Show your solution.
1) Aling Minang sells soup during
recess. If she gained P32.00 for 8
bowls sold, how much did she earn
for selling 10 bowls?

A S S E S S M E N T
2) Mang Andoy cooked suman. He
used 6 glasses of coconut milk for
2 kg of malagkit rice. How much
coconut milk did he use if he
cooked 3 kg malagkit rice?

MATHEMATICS
QUARTER 2 WEEK 2
DAY 3

Directions: Read and solve
the problem using any of the
methods learned. Show your
solution.
R E V I E W

Rhea prepared puto cheese
for her daughter’s birthday.
She steamed 30 pieces of
puto cheese in 12 minutes.
How many minutes did it take
her to cook 200 pieces?
R E V I E W

PARTITIVE PROPORTION
Partitive proportion is a type
of proportion in which a whole is
divided into parts according to a
given ratio.

Example: Mrs. Cordero gave
allowance to TJ, Reb and Jake
in the ratio of 2:3:4. The total
of their allowance is 450.00.
₱
How much do TJ, Reb and Jake
allowance will receive?

A. What is asked?
Answer: How much do TJ, Reb
and Jake allowance will receive?
B. What are the given facts?
Answer: 2:3:4, 450 total
₱
allowance

C. Plan and Strategy:
1. Add the terms in the ratio.
2:3:4 2+3+4 = 9

2. Divide the number representing
the total by the sum of the terms
in the ratio.
₱450.00÷9 = 50 50 quotient

3. Multiply the quotient by each
of the term in the ratio.
2 X 50 = 100
3 X 50 = 150
4 X 50 = 200
9 450

4. Check the answer by adding all the
products
TJ = 100.00
₱
Reb = 150.00
₱
Jake = 200.00
₱
= 450.00
₱

A C T I V I T Y 3
Directions: Match column A with
column B. Write the letter with the
correct answer in your notebook.
Then answer the puzzle below.

A C T I V I T Y 3
Write the letter of your correct
answers in this order to find the
answer for the puzzle.
Challenge: It is an amazing three
pound organ that controls all
functions of the body.

A S S E S S M E N T
Directions: Read and understand
the following situations. Use
AGONSA in solving the problems.

A S S E S S M E N T
1. The ratio of calamansi to chicos
is 4:5. If there are 54 trees, how
many chicos are there?
A. What is asked?
C. What operation will use?
D. What is the number sentence?
E. What is the solution and answer?

A S S E S S M E N T
2. Rikka planted lilies and dahlias in
her flower garden. The ratio of lilies
to dahlias is 2:5. How many are lilies
if she planted 49 flowers?
A. What is asked?
C. What operation will use?
D. What is the number sentence?
E. What is the solution and answer?

MATHEMATICS
QUARTER 2 WEEK 2
DAY 4

Directions:. Solve the
problem involving partitive
proportion using AGONSA.
R E V I E W

INVERSE PROPORTION
An inverse proportion is a
relationship between two
quantities in which one increases
as the other decreases in the
same ratio.

Involving Inverse Proportion
Example: It takes Tristan 10
minutes to walk at 20kph from
home to sari-sari store.To shorten
his travel time to 8 minutes for
the same distance, how fast
should he walk?

Solution:
Let the desired speed be x kph.
Then we have the following table.
Speed (kph) 20 N
Time in
minutes
10 8

The faster he walks, the less time
is required to reach the
destination. So this is an inverse
proportion.

𝑛
10
=
20
8
Speed needed to
shorten travel
time to 8 minutes
Speed needed to
reach travel time
of 10 minutes
Time taken when
the speed
is n kph
Time taken when
the speed
is 20kph

n
8 x n = 10 x 20
n

A C T I V I T Y 4
Directions: Answer the following
problems based on the given
situation.
1) Five volunteers can finish
painting the school fence in 8 days.
So, _____ volunteers can finish the
same job in 4 days at the same
rate.

A C T I V I T Y 4
2) If 6 pickers can pick 10 boxes of
mangoes in 2 hours, how long will
4 pickers pick 10 boxes of
mangoes at the same rate?

A S S E S S M E N T
Directions: Read and understand
the following situations. Use
AGONSA in solving the problems.
1) Two farmers can finish plowing
the field in 6 days. How long will 3
farmers finish plowing the same
field?

A S S E S S M E N T
2) A family with 4 members can
consume a sack of rice in 25 days.
So, a family with _____ members can
consume it in 10 days at the same rate.
3) If 4 men can finish cutting the
grasses in a 10-acre lawn in 6 days,
how many more men can finish the
same job in 3 days?

A S S E S S M E N T
4) Three laborers were assigned to
build the perimeter fence. If 6 laborers
can build it in 10 days, how long will
they be able to finish the job?
5) Three men can harvest 2 sacks of
palay in 120 minutes. How many
minutes will 9 men harvest the same
amount of rice?

MELC-BASED_MATH 6_QUARTER 2_WEEK 2_DEMOS

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