Republic of the Philippines

Department of Education

Grade & Section: Grade VI – Acacia

Learning Area/ Date: Mathematics/January 13, 2022

I. OBJECTIVES KRA and Objectives

The learner demonstrates understanding
of order of operations, ratio and
A. Content Standard
proportion, percent, exponents, and
integers.
The learner is able to apply knowledge
of order of operations, ratio and
B. Performance Standard proportion, percent, exponents, and
integers in mathematical problems and
real -life situations.
 Interpret and explain the
Grouping, Exponent,
Multiplication, Division,
Addition and Subtraction
C. Learning Competencies/
(GEMDAS) rule
Objectives
M6NS- IIf -148
(Write the LC Code for
 Performs two or more different
each)
operations on whole numbers
with or without exponents and
grouping symbols.
M6NS – IIf -149
 Interprets and explains the
Grouping, Exponent,
Multiplication, Division,
Addition and Subtraction
(GEMDAS) rule
II. CONTENT
 Performs two or more different
operations on whole numbers
with or without exponents and
grouping symbols.

III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide MELC Grade 6
2. Learner’s Materials
SLM Math 6
Pages
3. Textbook Pages Math Fun 6
4. Additional Materials
from Learning
Resource (LR)
Portal
Instructional Materials:
B. Other Learning pictures and videos
Resources Google.com

C. Philosophy of Teaching Essentialism

 Progressivism
IV. PROCEDURES
Prayer
Makabayan Song KRA 2 Objective 5
Establish safe and
Netiquette secure learning
environments to
enhance learning
through the consistent
implementation of
policies, guidelines, and
procedures

A. Reviewing previous
lesson or presenting the
new lesson Drill:
KRA1 Object 1
A. Evaluate the following expressions. Apply knowledge of
1. 3 ×4 + 1 =_________ content within and
2. (6+3) + 2 =________ across curriculum
3. (16 ÷ 4) × 3 =___________ teaching areas
4. 43 + 10 =___________ - Expression and
5. 26 – 62 =_____________ Exponent (gives the
value of numbers
B. Write each expression using an expressed in
exponent. exponential notation.)
1. 5 x 5 x 5 x 5 =___________ - Describe the set of
2. 10 x 10 x 10 =_____________ integers and identify
3. 2 x 2 x 2 =____________ real-life situations that
4. 9 x 9 x 9 x 9 =____________ make use of it.
5. 3 x 3 x 3 =____________

B. Establishing a purpose Ask the following questions

for the lesson What is your favorite subject in school?
Do you always do your assignments?
Who assists you in doing them?

(PARTICIPATION AND FOCUS

ATTENTION) KRA1 Object 1
Apply knowledge of
Problem Opener. content within and
Joey and Joseph are working on their across curriculum
assignment. They are asked to teaching areas
solve this: 45 ÷ 3 x 2 + (10 + 11). exponential notation.)
However, they got different answers. - Describe the set of
The following are the solutions of the integers and identify
two boys. real-life situations that
make use of it.
Joey’s Solution
45 ÷ 3 x 3 + (10 + 11)
15 x 3 + (10 + 11)
45 + (10 + 11)
 45 + 21
66

Joseph’s Solution
45 ÷ 3 x 3 + (10 + 11)
45 ÷ 9 + (10 + 11)
5 + (10 + 11)
5 + 21
26

Whose solution is correct?

Let’s find out by following these steps KRA 1 Objective 3

in solving series of operations involving Display proficient use
symbols and exponents. of Mother Tongue,
Step 1: Compute all the operations Filipino and English to
enclosed in grouping symbols, that is, facilitate teaching
parentheses ( ), brackets [ ], and braces and learning
{ }. Start from the innermost grouping
symbol.
C. Presenting examples/ Step 2: Compute all exponential
instances expressions.
of the new lesson Step 3: Multiply and divide in the order
they appear from left to right.
Step 4: Add and subtract in the order
they appear from left to right.

This is what we now call the GEMDAS

rule (Grouping symbols, Exponents,
Multiplication, Division, Addition and
Subtraction).
D. Discussing new According to the rule, Joey’s solution is KRA 2 Objective 8
concepts and practicing new correct. He divided 45 by 3 first
skills #1 because division comes first before Maintain learning
multiplication. Then, he multiplied the environments that
quotient by 3 before he added 10 and nurture and inspire
11. learners to participate,
Let’s try other examples. cooperate and
1. (8 x 92) – 23 + 10 ÷ 2 collaborate in continued
= ( 8 x 81) – 8 + 10 ÷2 Simplify the learning**
expression with exponent.
= 648 –8 + 10 ÷2 Simplify the KRA 2 Objective 6
expression inside the parenthesis. Maintain learning
= 648 – 8 + 5 Divide. environments that
promote fairness,
= 640 + 5 Subtract.
respect and care to
= 645 Add. encourage learning
2. 54 ÷32 + ( 2 x 6) – 4
= 54 ÷32 + 12 – 4 Simplify the
expression inside the parenthesis.
= 54÷ 9 + 12 – 4 Simplify the
expression with exponent.
= 6 + 12 – 4 Divide.
= 18 – 4 Add.
= 14 Subtract.
 3. 256 ÷ [(4 + 22) x 4]- 2
= 256 ÷ [( 4 + 4) x 4]- 2 Simplify the
expression with exponent. = 256
÷ [8 x 4]- 2 Simplify the expression
inside the parenthesis. = 256 ÷ 32 –
2 Simplify the expression inside the
bracket. = 8 – 2 Divide.
= 6 Subtract.
4. 3 + 5 x ( 7 + 8) ÷ 3 – 2
= 3 + 5 x 15 ÷3 – 2 Simplify the
expression inside the parenthesis.
= 3 + 75 ÷3 – 2 Multiply.
= 3 + 25 – 2 Divide.
= 28 – 2 Add.
= 26 Subtract.
5. 10 + (20-18) x 6
= 10 + 2 x 6 Simplify the expression
inside the parenthesis
= 10 + 12 Multiply.
= 22 Add.
(CREATE AN ACTIVE
LEARNING ENVIRONMENT)

E. Discussing new Kim and Judy loves studying together KRA 2 Objective 7
concepts and practicing new during their free time. Today, Apply a range of
skills #2 they have decided to answer different successful strategies
problems involving different operations. that maintain learning
Judy tries to answer this expression: 40 environments that
– (2 x 16) ÷ 22 – 2. Kim answers this motivate learners to
equation: 4 x 8 ÷ 2 + 12 – 8. work productively by
Can you figure out the correct answers assuming responsibility
in these two equations? for their own
learning

Expressions like 4 x 8 ÷ 2 + 12 – 8 can

be solved by following MDAS KRA 2 Objective 8
rule. MDAS stands for Multiplication,
Division, Addition, and Subtraction. Maintain learning
environments that
First, do multiplication and division nurture and inspire
operations as they appear from learners to participate,
left to right, and do addition and cooperate and
subtraction operations from left to right. collaborate in continued
learning**
Kim should multiply 4 and 8 then divide
the product by 2. Then add
12 to the quotient and subtract 8 from it.
So, the answer is 20.

Exponent and parenthesis are involve in

Judy’s problem. GEMDAS
rule can be used to solve this problem.
GEMDAS means Grouping symbols,
Exponents, Multiplication, Division,
Addition and Subtraction. Perform the
operations inside the parenthesis first or
the number with exponent, whichever
 comes first from left to right.
To solve Judy’s problem which is 40 –
(2 x 16) ÷ 22 – 2, multiply 2 by
16 first then simplify 22 which is 4.
Divide the product by 4. Subtract 8
from 40, which makes 32. Then subtract
2 from 32 which makes 30. So, Judy’s
answer must be 30.

According to the rule, Joey’s solution is

correct. He divided 45 by 3
first because division comes first before
multiplication. Then, he multiplied
the quotient by 3 before he added 10
and 11.
A. Solve each expression using the KRA 2 Objective 6
correct order of operations. Maintain learning
environments that
1. 10 – 33 ÷ 9 = 7 promote fairness,
2. 7 x 5 – 22 = _____ respect and care to
3. 3 x 6 + 82 = _____ encourage learning
F. Developing mastery
4. 32 x 2 - 9 = _____
(leads to Formative
5. 62 ÷ 3 - 5 = _____
Assessment 3)
6. (8 + 2) x 15 – 90 = 60
7. (12 - 8) x (17 -14)
8. 32 x 6 + 82
9. 52 x 3 ÷13 – 22
10. 62 x 3 – (5 + 52)
(PARTICIPATION)
Where else can we use this rules in
G. Finding practical
Interpret and explain the Grouping,
applications of concepts
Exponent, Multiplication, Division,
and skills in daily living
Addition and Subtraction (GEMDAS)?
Fill in the blanks with the appropriate
answer based on the discussion
about GEMDAS
MDAS stands for ____________,
Division, Addition, and ____________.
Do _______________ and subtraction
operations as they appear from
left to right, and do addition and
subtraction operations from left to right.
H. Making generalizations
For expressions with exponents and
and abstractions about the
parentheses. GEMDAS rule can
lesson
be used to solve this problem.
GEMDAS means _______________,
___________,
Multiplication, Division, Addition and
Subtraction. Perform the operations
inside the parenthesis first or the
number with exponent, whichever
comes
first from left to right.
I. Evaluating Learning This assessment test are replicated in
the KAHOOT video game

Solve the following using MDAS or

 GEMDAS rule. Encircle the letter of
the correct answer.
1. 72 ÷ 12 x 6 + 8 -1
a. 45
b. 43
c. 36
d. 31
2. 65 + 12 x 2 + 18 - 7
a. 108
b. 107
c. 102
d. 100
3. 62 ÷ (4 x 2 + 4)
a. 2
b. 3
c. 4
d. 5
4. (42 + 22) ÷ 23
a. 2
b. 3
c. 4
d. 10
5. (3 x 4 ÷ 2) + (28 -19)
a. 15
b. 17
c. 18
d. 19
6. 62 – (21 ÷ 7 + 10)
a. 23
b. 24
c. 26
d. 30
7. 66 ÷ 11 x 3 + 3 - 12
a. 19
b. 12
c. 9
d. 6

B. Solve these problems.

8. The entrance fee to a circus show is
P35 for adults and P25 for children.
If 26 children and 32 adults watched the
show, how much is the show’s
sales for the day?

9. Jimmy bought a second hand car for

P212 000. He spent P23 750 to
upgrade its spare parts and sold it for
P300 000. Find his profit.

10.Noel has P9 600. After spending

equal amount in 5 days, he has P1 800
left. How much did he spend each day?
J. Additional activities for Write Correct if the given answer is
application or right and put the correct answer if it is
remediation wrong.
________1. 28 + 2 x 6 ÷ 3 – 1 = 31
________2. 62 – 10 ÷ 5 x (3 + 7 + 2) =
12
________3. (16 + 4) x 5 ÷ 52 = 5
________4. (12 + 15 – 9) ÷ (3 x 3) = 3
________5. 12 x (63 ÷ 21) + 6 = 42