Quarter 2 Module 4: Finding the Percentage, Base and Rate in a Given ...

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Mathematics

Quarter 2 ? Module 4: Finding the Percentage, Base and Rate in a Given Problem

CO_Q2_Mathematics6_Module4

Mathematics? Grade 6 Alternative Delivery Mode Quarter 2 ? Module 4: Finding the Percentage, Base and Rate in a Given Problem First Edition, 2020

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Published by the Department of Education

Secretary:

Leonor Magtolis Briones

Undersecretary:

Diosdado M. San Antonio

Development Team of the Module

Authors: Virgilio C. Failanza Jr., Rosemarie D. Aclan, Collin G. Sales,

Marilou G. Dormis, Charlyn Joy A. Estimera, Lalyn G. Lumandog,

Realyn F. Crispe, Rogilyn V. Nicolas, and Salvacion V. Emberga

Editors: Rebecca O. Billones, Ma. Portia Gencianeo Galanto and Collin G. Sales

Reviewers: Elleda Ebreo de la Cruz and Collin G. Sales

Illustrator: Virgilio C. Failanza Jr.

Layout Artist: Felizardo S. Valdez III

Management Team: Ramir B.Uytico Pedro T. Escobarte, Jr. Elena P. Gonzaga Donald T. Genine Ma. Roselyn J. Palcat Nordy D. Siason, Jr. Rowena S. Carillo Rosemarie D. Aclan Arthur J. Cotimo Felizardo S. Valdez III Marve E. Gelera

Printed in the Philippines by ________________________

Department of Education ? Region VI

Office Address: Telefax: E-mail Address:

Duran Street, Iloilo City_________________________ (033)336-2816, (033)509-7653___________________ region6@.ph_________________________

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Mathematics

Quarter 2 ? Module 4: Finding the Percentage, Base and Rate in a Given Problem

What I Need to Know

This module was designed and written with you in mind. It is here to help you master the lessons on Finding the Percentage, Base and Rate or Percent in given problems. The scope of this module permits it to be used in many different learning situations. The language used recognizes your diverse vocabulary level. The lessons are arranged to follow the standard sequence of the course. But the order in which you read them can be changed to correspond with the textbook you are now using. The module is divided into three lessons, namely:

? Lesson 1 ? Finding the Percentage in a Given Problem ? Lesson 2 ? Finding the Rate in a Given Problem ? Lesson 3 ? Finding the Base in a Given Problem After going through this module, you are expected to:

1. identify the percentage, rate and base in a given problem; 2. find the base, percentage or rate or percent in a given problem; (M6NS-

IId-142) and, 3. solve routine and non-routine problems involving the percentage, rate and

base using appropriate strategies and tools. (M6NS-IId-143)

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What I Know

A. Solve what is asked. Write the letter of the correct answer on your answer sheet.

1) What is 5% of 12? A. 60

B. 0.6

C. 0.7

D. 0.8

2) What is 10% of 25?

A. 2.3

B. 2.4

C. 2.5

D. 25

3) Fifteen percent of 45 is what number?

A. 6.70

B. 6.73

C. 6.74

D. 6.75

4) Twelve percent of 60 is what number?

A. 7.2

B. 7.3

C. 7.4

D. 7.5

5) What number is 25% of 80?

A. 20

B. 2.0

C. 21

D. 2.2

B. Read and solve the problems. Show your solutions on your answer sheet. Label your final answers. 1) Trexie Joy has 110 pieces of bond paper. She used 30% for her Portfolio. How many pieces did she use?

2) During the baseball practice, 50% out of 250 balls were used. How many balls were used during the baseball practice?

3) In a virtual meeting, there are 550 registrants. Due to unstable internet connection, only 80% were able to attend. How many participants were not able to make it?

4) Six hundred seventy persons were tested of RT-PCR. In a result, 80% were tested negative. How many were tested positive?

5) David Michael receives 135 from his sister as a help which is 10% of the money he gets from his mother. How much does his mother give him?

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Lesson Finding the Percentage in a

1 Given Problem

In this lesson, you will apply your previous knowledge in changing percent to decimal as well as multiplying decimals. Finding the percentage is easy if you are good in multiplying numbers.

What's In

A. Identify the base, rate, and percentage by completing the table below. The first one is done for you. Write your answers on your answer sheet.

Statement 1. 2% of 30 is 0.6 2. 12 is 50% of 24 3. 15% of 100 = 15 4. 6% of 900 is 54 5. 90% of 50 = 45 6. 15 is 60% of 25

Base 30

Rate 2%

Percentage 0.6

B. Find the percentage of a number. 1) What is 6% of 12? 2) What is 15% of 45? 3) Twenty percent of 80 is what number? 4) Sixteen percent of 68 is what number? 5) What number is 90% of 80?

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What's New

Read and study the following problem: Twenty-five percent of Daisy's 20 potted plants are peppers. How many potted plants are peppers?

What is It

Use the four-step problem-solving approach to help you.

Understand What information are given?

We know that there are 20 potted plants and 25% of these are peppers.

What is asked?

We need to find how many potted plants are peppers.

This is a part of the total number of potted plants. So, we are looking for the percentage.

Plan

We can use different methods to solve the problem.

Solve

Method 1: Using a block model

100 % 25%

20 20 ? 4 = 5

5

CO_Q2_Mathematics6_Module4

Method 2: Expressing percent to fraction

25% of potted plants = 25% of 20

25

=

x 20

100

1 = 4 x 20

= 5

Method 3: Expressing percent as decimal

25% of potted plants = 25% of 20

= 0.25 x 20

= 5

Are there other ways to find the

answer?

Check

Each method gives us the same answer.

Answer

5 potted plants are peppers.

Here are more examples.

In an elementary school, 30% of the 250 Grade Six pupils walk to school. How many Grade Six pupils walk to school?

Method 1: Using a block model

100% 10% 30%

250 250 ? 10 = 25 25 x 3 = 75

Method 2: Using a formula

P = R x B

= 30% x 250

30

=

x 250

100

3 = x 250

10

Answer: 75 Grade Six pupils walk to school.

6 CO_Q2_Mathematics6_Module4

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