WEEK 2- DAY 1
Define and
identify
percentage, rate
or percent, and
base
MATHEMATICS 5
QUARTER 3
WEEK 2
MATHEMATICS 5
Drill: “Show-me-board”
o Drill: Renaming Fractions to Decimals and vice versa
.
oa. 1/4
ob. 3/5
oc. 0.5
• Review!
How to change percentage to decimal number and vice versa
Given
Percent
Decimal Number
a
b
c
25%
________
______
0.5
75%
________
Let’s think!
Action Song (Body Exercise)
Tune: Are you Sleeping
Title: Fraction to Percent
(One-fourth) 4x (Twenty-five) 2x
(One-fourth change to percent) 2x
(Twenty-five percent) 2x
One-half = 50%
One-fifth = 20%
Three-fourths = 75%
Two-fifths = 40%
Let’s Read!
Rafaela has 10 paper
clips. She gives 2 paper
clips to her seatmate
and keeps the rest for
the future use. Is it
right for her to say that
she keeps 80% of the
paper clips?
You Do it!
Questions to answer:
1. Who has 10 paper clips?
2. To whom does she give
2 paper clips?
3. if you were Rafaela will
you also keep materials
for the future? Why?
Let’s Learn More!
Let’s Learn More!
Let’s Define!
The rate is the percent of the whole. It has the
percent symbol (%).
The base is the whole we’re talking about. It
is written after the word “of” or the phrase
“percent of”.
The percentage is the portion of the whole
based on the rate. It is usually followed by the
word “is”. Using the
Techan’s Triangle is use to identify the base,
rate and percentage in the given problem.
Station 1: 5 is what percent of 50?
What is the rate? ______
Station 2: 40% of 60 is what?
What is the percentage? _______
Station 3: 16 is 25% of 64
The base is ________
Station 4: 15% of total sales is Php 8 910.00.
The rate is _________
Station 5: 43% of 150 is 64.5
The base is ___________
Let’s Apply!
Do the activity under
Apply Your Skills No. 1 on page
194 of Math Worktext 5
Let’s Remember!
_____________ is a part of a whole. It is the
resulting fractional part of the base.
___________ is the number written with the word
“percent” or with the symbol “%”.
___________ is the total or whole and it is the
number that usually follows the phrase “percent
of” or “% of”.
Let’s Test Yourself !!
Write the letter of the correct answer.
1. When one finds what percent one number is of another, we
looks for the ______.
a. base
c. rate
b. percentage
d. ratio
2. Finding a number when a percent of it is known means solving for
the ________.
a. base
b. percentage
c. proportion
d. ratio
Let’s Test Yourself !!
3. 16 is 25% of 64. The percentage in the problem is __________.
a.16
b.25%
c. 64
d. 41
4. Two of the 50 pieces of tomatoes in the basket are rotten. This is 4% of all the tomatoes in
the basket. Which is the rate?
a. 50
c. 4%
b. 2
d. 48
5. Seven of the 35 boys in the class wear eyeglasses. 20% of the boys wear eyeglasses. Which is
the base?
a. 20%
c. 7
b. 35
d. 40
Identify the R, B, and P in the following
statements:
1. 180% of 200 is 360
2. 35% of 90 is 31.5
3. P100 is 4% of P2 500
4. 20% of 50 is 10
5. 20 is 20% of 100
WEEK 2- DAY 2
Identifies
percentage, rate
or percent, and
base in the
problem
MATHEMATICS 5
Mental Computation on
Changing percent to decimal
and vice versa)
50%
5%
0.01
Problem
A survey conducted among
120 grade 5 pupils of Yukos
Elementary School showed
that 45% like swimming.
They found that 54 out 120
pupils like swimming.
How can identify rate,
base, and percentage?
We can identify the rate,
base and percentage using
the Techan’s Triangle.
Rate is the number written with the
word “percent” or with the symbol “%”.
Base is the total or whole and it is the
number that usually follows the phrase
“percent of” or “% of”.
Percentage is the part of the whole.
Techan’s Triangle is used to identify
rate, base and percentage.
Identify the rate, base and
percentage:
1. Paolo listen very well to the teacher during the
discussion of the lesson. When they were given a 5item test he got 4 correct answer. He has a grade of
80%.
2. There are 40 pupils in a class. Seventy-five percent
of them are present. 30 pupils are present.
3. Monique invited 300 kids to her party. Only 15% of
the kids did not showed up.Forty-five kids did not
attend the party.
4. Shiela got 90% of a 20-item test in Science. She
answers 18 item correctly.
Show the rate, base and percentage in the
Techan’s Triangle about the following problem.
1. Jun deposited P 1 800 in a bank. After a
year, his money earned P 90 which is 5% of his
initial deposit.
2. Althea gives 45% of her salary to her
mother. She says she has P11 250 for her mother
because her income is P25 000. Is she right?
How will you identify the base, percentage and rate?
Rate is the number written with the
word “percent”. It is express in percent
form.
Base is the total or whole and it is the
number that usually follows the phrase
“percent”.
Percentage is the part of the whole.
Techan’s Triangle is also used in
identifying rate, base and percentage.
Identify the rate, base, or percentage in the
following problems.
1. 50% of 78 = 39
2. 10% of 60 = 6
3. A 20% or P 4 600 is the
down payment for a brand new
TV set. The original price of
the TV set is P 23 000.
4. Carlo invest P 750 000 at 6 %
simple interest a year. His interest
is P 48 750.
5. Melissa has 120 kilograms of
rice. Her mother sold 105 kilograms.
Is she right to tell her mother sold
87.5% of what she sold?
Answer 21st Century
Mathletes Evaluate
page 204 A
WEEK 2- DAY 3
Finds the
percentage in a
given problem
MATHEMATICS 5
Drill: “Show-me-board”
o Drill: (Mental Computation on Changing percent to
. decimal and vice versa)
oa.
ob.
oc.
50%
5%
0.01
Rearrange the letters:
PNEERGACTE - smallest
BEAS - Biggest
RAET - & Symbol
• Review!
1st Ten (Identifying Rate, Base and Percentage)
a. 50% of 78 = 39
b. 6 is 10% of 60
c. A 20% or P 4 600 is the down
payment for a brand new TV set.
The original price of the TV set is
P 23 000.
Let’s think!
What’s your target score in a 20-item test?
What passing grade is it? (75%, 80%,90% or
100%?
Ask: Do you study your lesson every day? Do
you listen well and participate in class
discussion?
Ask: Why do you need to study? Will it help
you prepare for your future?
Let’s Read the POTD!
Vincent, a boy from a
fishing village is a diligent and
studious pupil. He goes to
school every day and does his
work well. He never skips
studying his lesson every
night. When he took their 50item quarter examination he
got 96% of it correctly? What
is his score?
Let’s Answer!
96% of 50 = _______
Step 1: Change percent to
decimal. Move the decimal point
of 96% twice from right to left.
.96%
0.96
Step 2: Multiply the numbers
following the steps in multiplication
of decimals.
0.96 x 50 = _48_
We can also it solve using fractions:
96% of 50 = _______
Step 1: Convert percent to fraction. You can use
the lowest term of the fraction if you want.
96%
𝟗𝟔
𝟏𝟎𝟎
or =
𝟒𝟖
𝟓𝟎
Step 2: Multiply the given number to the
numerator. If possible use cancellation.
𝟒𝟖
x 50
𝟓𝟎
𝟒𝟖
𝟓𝟎 𝟒𝟖
x
=
= 48
𝟓𝟎
𝟏
𝟏
Let’s Do It!
( Group Activity )
Find the percentage of each by
changing percent to fraction.
1. 16% of 10 = _____
2. 90% of 100 = _____
3. 10% of 80 = _____
4. 75% of 160 = _____
5. 40% of 50 = _____
Let’s Do It!
( Think-Pair Share)
Change percent to decimal then
solve.
1. 4% of 25 = _____
2. 10% of 20 = ______
3. 5% of 80 = _____
4. 25% of 40 = _____
5. 5% of 90 = _____
Let’s Apply!
There are 40 students in a
class. If 95% of them were
present, how many students
attended their class?
Let’s Remember!
In finding the percentage of a given number follow these steps:
• Find the rate in the given problem.
• Move the decimal point of the given rate twice
from right to left.
• Multiply the numbers following the steps in
multiplication of Decimal numbers.
Let’s Remember!
Another way of solving percentage is by changing percent to fraction.
You will be guided by following these steps:
1. Convert percent to fraction. You can use the
lowest term of the fraction if you want.
2. Multiply the given number to the numerator. If
possible use cancellation.
3. Divide the product of the given number and the
numerator by the denominator.
Let’s Test Yourself !!
Directions: Complete the table by identifying the percentage of the
following items.
Rate
1. 25%
2. 10%
3. 15%
4. 20%
5. 50%
Base
40
120
125
300
780
Percentage
_______
_______
_______
_______
_______
Let’s Practice At Home !
Answer Math Worktext 5
Page 196,
Apply Your Skills (1-5)
WEEK 2- DAY 4
“I can” solve
routine problems
involving
percentage using
appropriate
strategies and
tools.
MATHEMATICS 5
Drill: “Show-me-board”
o Drill: (Change percent to decimal then solve.)
.
oa. 4% of 25 = _____
ob. 25% of 40 = _____
oc. 5% of 90 = _____
• Review!
What are the steps in solving a
problem?
a.
b.
c.
d.
e.
What is asked?
What are the given facts?
What is/are the operation to be used?
What is the number sentence?
What is the final answer?
Let’s think!
Who among the
members in your
family earned a living
to support you your
studies?
Let’s Read the POTD!
My father earns P15 000
a
month
while
my
mother’s monthly basic
salary is P18 000. They
use 45% of it to send us
to school. How much do
my parents spend for our
education?
Let’s Answer!
o Who earn a living for the
family?
( father and mother )
o What percent is used for
education?
( 45% )
o Are members in the family
helping each other to earn a
living?
Let’s Answer!
o Who earn a living for the
family?
( father and mother )
o What percent is used for
education?
( 45% )
o Are members in the family
helping each other to earn a
living?
Let’s Answer!
o Who earn a living for the
family?
( father and mother )
o What percent is used for
education?
( 45% )
o Are members in the family
helping each other to earn a
living?
Let’s Answer!
o Who earn a living for the
family?
( father and mother )
o What percent is used for
education?
( 45% )
o Are members in the family
helping each other to earn a
living?
Let’s Answer!
What is asked in the problem? (
Amount spend for education)
What are given facts?
How will you solve the
problem?
Let’s Answer!
What is asked in the problem? (
Amount spend for education)
What are given facts?
How will you solve the
problem?
Let’s Answer!
What is asked in the problem? (
Amount spend for education)
What are given facts?
How will you solve the
problem?
Let’s Answer!
What is asked in the problem? (
Amount spend for education)
What are given facts?
How will you solve the
problem?
Let’s Solve!
( 15 000 + 18 000) X 45% = N )
Step 1: Convert 45% to decimal number
45%
0.45
Step 2: When solving two or more operations, apply
the “PMDAS or GMDAS”
( 15 000 + 18 000) x 0.45 = N
33 000
x 0.45 = N
14,850 = N
Therefore: P 14,850.00 is the amount spend for education.
Let’s Do It!
( Think-Pair Share)
5-minutes time to solve for the answer to the
problem given.
1. Gwyn scored 85% in her NAT exam. If there were a total
of 160 items, how many items was she able to answer
correctly?
2. Membership in the Math Club increased by 12.5% this
year. If there were 40 members last year, how many
members are there this year?
3. In the Grade Five batch, 65% are girls, if there are 105
boys, how many girls are there in the grade five batch?
Let’s Apply!
The tuition fee in a certain private
school increased by 12%. If the annual
tuition fee for Grade 5 last year was Php
50 000, how much is the increase? How
much is the new tuition fee?
Let’s Remember!
How do we solve routine problems involving percentage using
appropriate strategies and tools? You will be guided by following these
steps:
 What is asked in the problem?
 What are given facts?
 How will you solve the problem?
Note: In finding the Percentage:
 Step 1: Change percent to decimal. Move the decimal point twice from right to left.
 Step 2: Follow PMDAS or GMDAS rule.
 What is the final answer?
Let’s Test Yourself !!
Solve Solve each problem by answering the questions below::
1. Manet has read 60% of a 250 page classical novel. How many pages has she
read?
2. Out of 2 500 students surveyed, 75% are Catholics. How many
students are not Catholics?
Let’s Practice At Home !
Directions: Read the problem and complete the sentences below.
In a conference of 300 people, 40% who attended were Filipinos. If 30% of these
were Filipino male professionals, how many Filipino female professionals were
there?
1. The problem asks for the ______________.
Lead the pupils to generalize as follows:
In solving problems, we follow these steps:
a. Understand
- Identify the problem
- Identify the relevant facts.
b. Plan
- Choose a strategy
c. Solve
- Perform the strategy.
d. Check and Look back
- Check if the answer is reasonable.
- State the complete answer.