SAN PABLO DIOCESAN CATHOLIC SCHOOLS SYSTEM
Diocese of San Pablo
Immaculate Conception Catholic School - Santa Cruz, Laguna
Senior High School Department
Learning Module – Week 2 (1st Sem-1st Qtr)
September 6-10, 2021
Teacher: Ms. Edith E. Estremera
Subject: Business Mathematics
Grade Level: Gr. 11
Most Essential Learning Competencies
LC1-ABM_BM11RP-If-4 - Solve problems involving direct, inverse and partitative
proportion
LT1.1- ABM_BM11RP-If-4 – I can define the important terms and the three types
of proportion.
LT1.2- ABM_BM11RP-If-4 - I can justify when to use direct, inverse and partitive
proportion.
LT1.3- ABM_BM11RP-If-4 - I can compute real life word problems involving direct,
inverse and partitive proportion
Lesson – Ratio and Proportion
TIME FRAME
07:00 – 07:30am
Synchronous
07:30 - 08:15 am
ACTIVITIES
Finalization of Project 1 and
Reading of Learning Module
INSTRUCTIONS
1. Online Class Decorum
2. Engage/Explore Activity
(Map of Conceptual Change)
1. (Greetings, Prayers, Attendance)
2. It is amazing to note that the study of
ratio and proportion leads to
understanding
other
concepts.
Learning ratio and proportion should
be easy as it is a skill and not a
complex concept. So lets turn the bulb
on with different colors as you
compute for ratio and proportion.
Prepare coloring materials and paper.
3. Explain Activity
(Attachment 1)
3. Using Slide Presentation, discuss
briefly:
 Status of Project 1
 Short Quiz – True or False (5 items)
 Proportion Color by Answer
 Add on Lesson on Percentage
 Ratio and Proportion
 Types of Proportion – Direct, Inverse
and Partitive
 Solving simple exercises
 Project 2
 Submission of :
a. Proportion Color by Answer
b. Worksheet 3.1 (Attachment
c. Warhead 3.2 (Attachment)
d. Project 2 – Real Life Problems
applying direct, inverse, and
partitive proportion involving
you
e. Competency Self Assessment
Asynchronous
08:15 – 09:00am
4. Extend Activities
4.1 Answer Worksheet3.1 - The Three
Types of Percentage Problems and
Worksheet 3.2 - Solving Problems
on Ratio and Proportion
(Attachment 3)
Submit answers via email
(edithestremera0604@gmail.com),
once received, to be checked and
recorded and answer key will be
given.
09:00 – 9:15am
09:15 – 09:30am
(Map of Conceptual Change)
At this point, let us look again at
Proportion activity - Light Bulb (Engage
Activity) and at the space provided, write
your realization or new things that you
have learned.
09:30 – 10:45am
5. Evaluation Activities
5.1. Making of Project 2
Formulate real life problems applying
direct, inverse, and partitive
proportion involving you
To assist you in your project and to
summarize today’s lesson, watch the
following video:
Clickable link:
https://www.youtube.com/watch?v=f
wWXN2eigSY
10:45 – 11:00am
Self-Assessment:
Using
the
Competency Self-Assessment, assess
the learning you have acquired for this
week. Ask for clarifications for gray
areas in the lesson/s.
(Attachment 5)
Value Integration:
The learners will be able to persevere and at the same time have fun while learning. They will be
encouraged to be creative, resourceful and to use their intellectual competence as well as critical
thinking skills and be able to apply these in solving real life problems.
The true measure of the value of any business leader and manager is performance.
Brian Tracy
Resources:
References: Business Mathematics Third Edition, pp. 112-123 and pp. 140-147
Learning Module
Video link: https://www.youtube.com/watch?v=fwWXN2eigSY
Link:
https://ideagalaxyteacher.com/proportions-activities/
eee/1ST Sem-1ST Qtr-BusMath-WEEK 1 p 3
ATTACHMENTS
Attachment 1
eee/1ST Sem-1ST Qtr-BusMath-WEEK 1 p 4
Attachment 2
WEEK 2( September 06-11, 2021)
Add on Lesson about Percentage
The Three (3) Types of Percentage Problems
A. Finding percent (P) of a
number
Given the base (B) and the rate
(R), to find the percentage (P)
use the formula :P = B x R
Example: Find 15% of 300
B = P300 R = 15% or .15
P = P300 x .15
Answer: P45.00
B. Finding what percent one C. Finding a number when a
number is of another
percent of that number is
(find the Rate (R) )
known (find the Base (B) )
Given the base (B) and the Given the base (B) and the
percentage (P), to find the percentage (P), to find the rate
rate (R), use the formula :R = (R), use the formula :B = P / R
P / B or R =
𝑷
or B =
𝑩
Example: 140 is what % of
P280?
P = 140
B = 280
R=
𝟏𝟒𝟎
𝟐𝟖𝟎
𝑷
𝑹
𝟏
Example. 8 is 2 % of what
𝟐
𝟏
R = 2 % or
number ? P = 8
𝟏
𝟐
2.5% or .025
x 100 = 𝟐 x 100
B=
Answer : 50%
𝟖
.𝟎𝟐𝟓
= 320 Answer
Ratio and Proportion
A ratio is the relation between two similar quantities. It consists of two numbers, the antecedent
which is the first number mentioned and the consequent, the second number. Just like a fraction, a
ratio is written in fractional form like
𝟐
𝟑
or in this form, 2:3. Reduce ratios to their lowest terms in the
same manner that fractions are reduced.
Illustrative Problems:
1. What is the ratio of 16 ft. to 6 ft. ?
Answer:
𝟏𝟔 𝒇𝒕.
𝟔 𝒇𝒕.
=
2. What is the ratio of 2 lb. to 4 oz. ?
𝟖
𝟑
Answer:
𝟐 𝒍𝒃.
𝟒 𝒐𝒛.
𝟑𝟐 𝒐𝒛.
𝟒 𝒐𝒛.
=
=
𝟖
𝟏
Note: if the units are different, apply conversion
A proportion is a statement that two ratios are equal. The ratios
therefore constitute a proportion. A proportion is written as:
𝟑
𝟒
𝟑
𝟒
𝟗
𝟗
and 𝟏𝟐 are two equal ratios and
= 𝟏𝟐 or 3 : 4 : : 9 : 12
Rule of Proportion : The product of the mean equals the product of the extremes: in
𝟑
𝟒
=
𝟗
𝟏𝟐
the means are the 4
and 9 while 3 and 12 are called extremes. the double : : is read as equals.
Finding an unknown term in a proportion:
3. Assuming the second term is
unknown, the proportion may be
written as 6:n = 12:14. Using the
rule, the product of means equals
ST product
of the extremes.
eee/1the
Sem-1STQtr-BusMath-WEEK
2
Solution:
6:n = 12:14 == > 6 x n = 12 x 14
12n = 84
n = 84 ÷ 12
n= 7
1. A motorist drove 140 miles in 5
hours, at the same rate of speed,
how far can he drive in 7 hours?
The ratio of the miles equals the
ratio of the hours?
Solution:
N represents the missing distance
𝑵
𝟏𝟒𝟎
= ratio of the missing distance to
the known time
𝟕
𝟓
= ratio of the missing distance to
the length of the known time
𝑬𝒒𝒖𝒂𝒍 𝒓𝒂𝒕𝒊𝒐:
𝑵
=
𝟏𝟒𝟎
𝟕
𝟓
Cross product: 5 x N = 140 x 7
5N = 980 ; N =
𝟗𝟖𝟎
N
𝟓
= 196 miles
2. Cecil, Pam and Arlen are
business partners who decided
to divide their profit of P195,000
after a year of their operation.
The women invested P15,000,
P20,000 and P30,000,
respectively. Find their share of
profit?
Solution: 1.5 + 2 + 3 = 6.5 parts
195,000
6.5
= P30,000 per share
1.5 x P30,000 = P45,000 (Cecil)
2 x P30,000 = P60,000 (Pam)
3 x P30,000 = P90,000 (Arlen)
ATTACHMENT 3
Immaculate Conception Catholic School
Sta. Cruz, Laguna
WORKSHEET 3.1 – The Three Types of Percentage Problems
Business Mathematics– Gr. 11
DATE:
NAME:
SECTION:
TEACHER:
10
Ms. Edith E. Estremera
I. Solve the percentage, rate and base of the following problems and encircle your final answer.
I.
Find the Percentage
(P)
1. How much is 6% of P150?
4.
II. Find the Rate (R)
III. Find the Base (B)
2. P75 is what % of P350?
3. 22 is 40% of what amount?
3
% of P192 is what 5. What part of 180 is 140?
4
amount?
1
6. 42 % of what amount is P650?
II. Solve completely the given real life problem on percentages. (4 pts)
7-10. Ragnar answered correctly 42 items of the 50-item Test A and 56 items of the 60-item
test. In what test do you think Ragnar make a better rate?
-
Immaculate Conception Catholic School
Sta. Cruz, Laguna
WORKSHEET 3.2 – Solving Problems on Ratio and Proportion
Business Mathematics– Gr. 11
DATE:
TEACHER:
NAME:
SECTION:
I.
10
Ms. Edith E. Estremera
Solve the following problems:
1) N : 31 = 2 : 8 ___________________________ 3) N : 4 = 25 : 20 ___________________________
2)
8
𝑁
=
40
45
_______________________________ 4) 6 : N = 8 : 20 ___________________________
A. The school enrollment in a computer school shows that there are 5 girls to 8 boys. The school
enrollment this year was 5,200. how many are boys and how many are girls? (3 pts with
solution)
B. Mr. Santos and Mr. del Rosario are business partners. How much does each receive if a profit of
P130,000 is divided in the ratio 7 to 3 in favor of Mr. Santos? (3 pts with solution)
ATTACHMENT 4
THE ROMAN CATHOLIC BISHOP OF SAN PABLO
FOR THE SAN PABLO DIOCESAN CATHOLIC SCHOOLS SYSTEM
Diocese of San Pablo
IMMACULATE CONCEPTION CATHOLIC SCHOOL- STA. CRUZ, INC.
P. GUEVARRA AVE., BRGY. POBLACION, STA. CRUZ, LAGUNA
BUSINESS MATHEMATICS - Gr. 11
edithestremera0604@gmail.com
LEARNING COMPETENCIES
Ratio and Proportion
Week 2
BEFORE
Sure IDNK
Unsure
AFTER
Sure
IK
COMPETENCIES WITH CODE
LC1- ABM_BM11RP-If-4
Solve problems involving direct,
inverse and partitative
proportion
LT1.1- ABM_BM11RP-If-4
I can define the important terms
and the three types of
proportion.
LT1.2- ABM_BM11RP-If-4
I can justify when to use direct,
inverse and partitative
proportion.
LT1.3- ABM_BM11RP-If-4
I can compute real life word
problems involving direct,
inverse and partitative
proportion.
Sure IDNK
Unsure
Sure
IK