Math 5

1. 5
AIRs - LM
Mathematics
Quarter 3–Week 1
Module 1: Lesson 1, 2 & 3
Elements in a Percentage Problem:
PERCENTAGE, RATE AND BASE

2. Mathematics 5
Quarter 3 – Week 1, Module 1: Lesson 1,2 & 3
Elements of Percentage Problem:
Percentage, Rate, and Base
First Edition, 2021
COPYRIGHT 2021
La Union Schools Division
Region I
All rights reserved. No part of this module may be reproduced in any form
without written permission from the copyright owners.
Development Team of the Module
Writer: Alona E. Rivera
Editor: SDO La Union, Learning Resource Quality Assurance Team
Tagaguhit: Ernesto F. Ramos Jr., P II
Management Team:
Atty. Donato D. Balderas, Jr.
Schools Division Superintendent
Vivian Luz S. Pagatpatan, PhD
AssistantSchools Division Superintendent
German E. Flora, PhD, CID Chief
Virgilio C. Boado, PhD, EPS in Charge of LRMS
Erlinda M. DelaPeña, EdD, EPS in Charge of Mathematics
Michael Jason D. Morales, PDO II
Claire P. Toluyen, Librarian II

3. Target
A great day to you young learners!
This module has been prepared to help you master basic concepts
and skills in solving percent problems. Activities have been chosen that you can
relate math with problems you encounter in your daily life.
At the end of this module, you are expected to:
• visualizes percentage and its relationship to fractions
M5NS-IIIa-136
• defines percentage, rate or percent and base
M5NS-IIIa-136
• identifies the base, percentage and rate in a problem
M5NS-IIIa-136
Lesson 1
• Visualizes percentage
and its relationship to
fractions
Jumpstart
A. Directions: Express the shaded part as fraction. Express your answer into
simplest form.
1. _________________

4. 2. __________________
3. _________________
B. Write the name for the shaded part of each figure as a fraction, ratio, decimal,
and Percent.
1. 2. 3.
4. 5.
a. Ratio 1.______ 2.______ 3. ______ 4.______ 5._______
b. Fraction 1.______ 2.______ 3. ______ 4.______ 5._______
c. Decimal 1.______ 2.______ 3. ______ 4.______ 5._______

5. f
Discover
Jian earned P100 for selling junk. He gave his mother P 80 and put P20 in
his coin bank. What percent of his earnings did he give to his mother? What
percent did he save?
Let us draw the model.
80%
There are 100 parts in al. the shaded part is 80 of 100 parts. Jian gave 80% of his
earning to his mother and saved 20% of it.
Let us study these;
The relation of percent to fraction
80% is equal to
100
80
or
100
80
÷
20
20
=
5
4
The relationship of fraction to decimal. Divide the numerator by the denominator.
0.80
5 00
.
4
4 0
0
0
0
Another way:
80% =
100
80
÷
20
20
=
5
4

6. To change percent to decimal move the decimal point 2 places to the left and drop
the % sign.
80% = 0.80
B. Compare the shaded part in each grid.
100
25
25:100 0.25 25%
Fraction Ratio Decimal Percent
Study these.
4
1
=
4
1
x
25
25
=
100
25
’ so
4
1
=
100
25
= 0.25 = 25%
5
2
=
5
2
x
20
20
=
100
40
, so
5
2
=
100
40
= 0.40 = 40%
To change from percent to fraction, change percent to fraction with a
denominator of 100, and then simplify it.
To change percent to decimal, drop the % symbol and move the decimal point 2
places to the left.
To change decimal to percent, simply move the decimal point 2 places to the
right, then affix the symbol % to the number.

7. Explore
Let us try!
A. Determine the fraction, decimal, and percent of the shaded of each figure:
B. What percent is given in the following situations?
_____ 1. 20 out 60
A. 20% B. 33% C. 40% D. 50%
_____ 2. 25 out of 50
A. 30% B. 33% C. 40% D. 50%
_____ 3. 40 out of 100
A. 60% B. 80% C. 40% D. 50%
_____ 4. 15 out of 45
A. 15% B. 20% C. 33% D. 50%
_____ 5. 60 out of 100
A. 60% B. 20% C. 40% D. 80%
1. Fraction _____________
Decimal _____________
Percent ______________
2. Fraction ____________
Decimal ____________
Percent _____________

8. Deepen
A. Directions: Solve for the missing value of the following:
Fraction Decimal Percent
6
10
0.6 60%
1. 45%
2. 0.15
3. 33%
4.
9
20
5. 25%
B. Complete the table. Write your answer on the line. Simplify the fraction, if
possible.
Fraction Decimal Percent
1.
15
100
2.
20
100
3.
50%
4. 0.25
5.
7
10
Gauge
Let’s do it independently!
Directions: Find the answer to each question. Write the answer on the
line.
_______ 1. What is 56% in fraction?

9. _______ 2. What is 0.66 in percent?
_______ 3. What is
25
75
in percent?
_______ 4. What is .33 in percent?
_______ 5. What is
12
60
in decimal?
Lesson 2and
3
• Defines percentage,
rate or percent and
base
• Identifies the base,
percentage and rate in
a problem
Jumpstart
Try to answer these problems!
Directions: Identify the base, rate, and percentage.
Given Base Rate Percentage
1. 20% of 60 is 12
2. 12% of 150 is 18
3. 25% of 200 is 50
4. 60% of 30 is 18
5. 90% of 50 is 45

10. Discover
Directions: Let’s read and answer the problem below and identify the base,
rate and percentage.
Example 1
The total enrolment in Malaca Elementary School is 300 pupils, of these, 54
were enrolled in kinder which is 18% of the total enrolment.
18% is 18 out of 100 and it is n out of 300.
Write the correct proportion, then find the value of the missing term.
n out of 300 = 18 out of 100
n:300 = 18:100
The proportion could also be written as:
𝑛
300
=
18
100
By the cross product rule:
100 × n = 300 × 18
100n = 5400
100n(
1
100
) = 5400(
1
100
) Multiply both sides of the equation by
the multiplicative inverse or
reciprocal of 100
n = 54 Do the operation involved
From the problem above, we have learned that 18% of 300 is 34.
18% is the Rate (the expression with % symbol)
54 is the Percentage (part of the whole)
300 is the Base (whole or total)
Remember these three important words that help us in solving problems
about percents:
1. Base represents the whole. It is the total number from which a percent is
taken.
2. Percentage is a part of a whole. It is the result of finding a certain percent of
a number.
3. Rate is the number indicating how many percent or hundredths are taken.
In solving word problems, we need to follow the following steps.

11. Explore
Let us try!
Directions: Fill in the blank with the correct answer. Use the
number sentence below to answer.
70% of 40 = 28
__________1. What is the base?
A. 20% B. 40 C. 28 D. None
__________2. What is the rate?
A. 20% B. 40 C. 28 D. None
__________3. Which element means the whole thing?
A. 20% B. 40 C. 28 D. None
__________4. Which number is expressed in %?
A. 20% B. 40 C. 28 D. None
__________5. Which is found by multiplying the base by the rate?
A. 20% B. 40 C. 28 D. None
Deepen
Directions: Identify the rate, base and percentage. Write them on the
proper column.
Rate Base Percentage
1. 80% of 100 is 80 ________ ________ ________
2. 130 is 25% of 520 ________ ________ ________
3. 100% of 50 is 50 ________ ________ ________
4. 20 is 25% of 80 ________ ________ ________
5. 20% of 75 is 15 ________ ________ ________

12. Gauge
Let’s do it independently!
A. Directions: Read and analyze the problem carefully and identify the base,
percentage and rate. Write your answer on the space provided for.
1. Ema deposited Php15000 in a bank. After a year, her money earned
Php750 which is 5% of her initial deposit.
Rate: __________ Base: __________ Percentage: __________
2. Mary paid a blouse Php240 which is 20% sale from its original price
costing Php300.
Rate: __________ Base: __________ Percentage: __________
3. Bela kept 30 candies which is 50% of the 60 candies her sister gave her.
Rate: __________ Base: __________ Percentage: __________
3. Milo donated 12 sacks of rice which is 25% of the 60 sacks harvested in
his rice field.
Rate: __________ Base: __________ Percentage: __________
5. Out of 50 points test, Rita got 48 which is 96% of the perfect score.
Rate: ________ Base: __________ Percentage: __________

13. Answer Key
Lesson 1
Jumpstart
A.
B. a) 5:8, 3:4, 1:2, 1:5, 2:5
b)
5
8
,
3
4
,
1
2
,
1
5
,
2
5
c) .625, .75, .50, .20, .40
Explore
A. .1)
50
100
or ½, .50, 50%
2)
36
100
or
9
25
, .36, 36%
B. 1. B 2. D 3. C 4. C 5. A
Deepen
A. 1)
9
20
, .45
2)
3
20
, 15%
3).
33
100
, .33
4) .45, 45%
5)
1
4
, .25
B. 1 .15 , 15%
2. .20, 20%
3.
1
2
, 50
4.
15
60
, 25%
5. .70 , 70%
Gauge
1)
14
25
2) 66% 3) 33.3%
4) 33% 5) .20

14. References:
Manuel T. Kotah, Jr., et al. 2020. Soaring 21st Century Mathematics 5.
Philippines. Phoenix Publishing House, Inc
Abelardo B. Medes, 2015. Real – Life Mathematics 5. Philippines. Abiva
Publishing House, Inc.
Luzviminda C. Funa, et.al, 2001. Mathematics in a Challenging World 6.
Philippines. Instructional Coverage System Publishing, Inc.
Lesson 2 and 3
Jumpstart
1. 60, 20%, 12
2. 150, 12%, 18
3. 200, 25%, 50
4. 30, 60%, 18
5. 50, 90%, 45
Explore
1. B 2. A 3. B 4. A 5. C
Deepen
1) 80%, 100, 80
2) 25%, 520, 130
3) 100%, 50, 50
4) 25%, 80, 20
5) 20%, 75, 15
Gauge
1) 5%, 15000, 750
2) 20%, 300, 240
3) 50%, 60, 30
4) 25%, 60, 12
5) 96%, 50, 48