MATH 6 QUARTER 2 WEEK 6

MATHEMATICS 6

QUARTER 2 WEEK 6

R E V I E W

Directions: You sent an e-mail to 3 of your
friends. Each of your 3 friends sent the e-
mail to 3 more friends. And each of those
friends sent it to 3 other friends, and so on.

R E V I E W

a. Copy and complete the table below.

Stage

Email Sent, as a power

Value of Power

1

3

3

2

3

9

3

?

?

4

?

?

5

?

?

1

2

Determine the order of operations in each
mathematical expression. Write A for
Addition, S for Subtraction, M for
Multiplication, and D for Division.

1

2

3

8+4÷2
9x54÷6

12+8÷8

Determine the order of operations in each
mathematical expression. Write A for
Addition, S for Subtraction, M for
Multiplication, and D for Division.

1

2

42÷6x15

72-9+6

Explain, Interpret

and Perform GEMDAS
Rule with or without
Exponent or Grouping

Symbols

GEMDAS

When we do calculations with more than

one operation, we should follow the

GEMDAS Rule

GEMDAS

1. Grouping symbols include
parentheses ( ) , square brackets [ ] and
braces { }.

2. Exponent is the number of times the
base is to be multiplied by itself.

GEMDAS

3. Multiplication or Division should
always be done from left to right.

4. Addition or Subtraction should
always be done from left to right.

GEMDAS

(Important Note: Multiplication does
NOT always come first before division.
Do it one by one from left to right. Same
goes with addition and subtraction.)

GEMDAS

Perform the
operation inside the
parentheses

Let’s now find the value of 25 - 4 x (4+3) ÷ 2
using the GEMDAS Rule.
Step 1 for Grouping Symbol

25 - 4 x (4+3) ÷ 2
25 - 4 x 7 ÷ 2

2

2

2

GEMDAS

Find the value of the number
expressed in exponential
notation

Step 2 for Exponent

25 - 4 x 7 ÷ 2
25 - 4 x 7 ÷ 4

2

GEMDAS

Perform multiplication

or division from left to right

Step 3 for Multiplication/Division

25 - 4 x 7 ÷ 4
25 - 28 ÷ 4
25 - 7

GEMDAS

Perform addition
or subtraction from

left to right

Step 4 for Addition/Subtraction

25 - 7

18 – Final Answer

GEMDAS

Example 1: Simplifying expression without exponent

16 – 4 ÷ (10 - 9)

STEP 1 G 16 – 4 ÷ (10 - 9)
STEP 2 E Skip the second step if you do not have a

number expressed in exponential notation

STEP 3 D 16 – 4 ÷ 1
STEP 4 S 16 – 4
Final Answer:12

GEMDAS

Example 2: Simplifying expression without grouping symbol

76 – 3

STEP 1 G Skip the first step if you do not have any

Grouping symbol

STEP 2 E 76 – 3
STEP 3 MD Skip the third step if you do not need to
perform multiplication nor division
STEP 4 S 76 – 9
Final Answer: 67

2

2

GEMDAS

Example3: Find the value of expression with two or more
grouping symbols
25 – [14 ÷ 2 + (5 x 3) ] +10
STEP 1 Begin with the innermost parentheses then the
square brackets. Then follow the order of operations.
25 – [14 ÷ 2 + (5 x 3) ] +10
25 – [14 ÷ 2 + 15 ] +10
25 – [7 + 15 ] +10
25 – 22 +10

GEMDAS

Example 3: Find the value of expression with two or more
grouping symbols
STEP 2 Skip the second step if you do not have a number
expressed in exponential notation
STEP 3 Skip the third step if you do not need to perform
multiplication nor division
STEP 4 25 – 22 +10

3 + 10

Final Answer: 13

GEMDAS

Example 4: Find the value of 4 x 2 + (20 – 4) ÷ 2
STEP 1: G 4 x 2 + (20 – 4) ÷ 2
STEP 2: E 4 x 2 + 16 ÷ 2
STEP 3:MD 4 x 8 + 16 ÷ 2
STEP 4: AS 32 + 8
Final Answer: 40

3

3
3

GEMDAS

Example 5: Write a numerical expression to represent
the situation then find its value.
Ma’am Ivy bought school supplies for her Grade 6
pupils worth ₱4,125.00. How much change did she get
from five ₱1,000.00 bills?
STEP 1.1 Write the numerical expression
to represent the situation
(5 x 1 000) – 4,125

GEMDAS

STEP 1.2 Grouping Symbol (5 x 1 000) – 4 125

5 000 – 4 125

STEP 2 Skip the second step if you do not have a
number expressed in exponential notation
STEP 3 Skip the third step if you do not need to
perform multiplication nor division
STEP 4 Subtraction 5 000 – 4 125
Final Answer: Ma’am Ivy got ₱875.00 in exchange.

A C T I V I T Y 1

Directions: Evaluate the following
expressions.
1) 11 + 6 x 5 – 3 _______________
2) 84 – 6 + 9 _______________
3) 20 – 12 ÷ 6 + 7 _______________
4) 16 ÷ 2 – 3 + 2 x 4 _______________
5) 72 ÷ 3 x 8 _______________

A S S E S S M E N T

Directions: Evaluate each expression
in column A. Then encircle the letter of
the correct answer in column B that
corresponds on each item. Use an extra
sheet of paper for your solution.

A S S E S S M E N T

Column A

Column B

1. 12 – 8 + 5

a. 1 b. 9

c. 10

2. 15 + 32 – 2

a. 22 b. 34 c. 40

3. 8 x (5 + 10)

a. 50 b. 85 c. 120

4. 15 + (20 ÷ 2)

a. 17.5 b. 25 c. 27.5

5. 9 x 5 + 9 ÷ 3

a. 72 b. 80 c. 288
2

MATHEMATICS 6

QUARTER 2 WEEK 6

R E V I E W

Directions: Fill in the box with the missing
number.

Identify the order of operations to be
performed in each expression. Write A for
Addition, S for Subtraction, M for
Multiplication, and D for Division. Then
compute.

Example: 7 + 6 x 4 ÷ 12 M, D, A 9

1. 6÷2+1x 4 __________ ___

2. 18 – 12 ÷ 6 +7 __________ ___

3. 4 x 3 – 10 + 16 __________ ___

4. 3 x 3 + 10 – 3 __________ ___

5. 30 ÷ 2 x 4 –8 +9 __________ ___

Explain, Interpret

and Perform GEMDAS
Rule with or without
Exponent or Grouping

Symbols

GEMDAS

When we do calculations with more than

one operation, we should follow the

GEMDAS Rule

GEMDAS

1. Grouping symbols include
parentheses ( ) , square brackets [ ] and
braces { }.

2. Exponent is the number of times the
base is to be multiplied by itself.

GEMDAS

3. Multiplication or Division should
always be done from left to right.

4. Addition or Subtraction should
always be done from left to right.

GEMDAS

(Important Note: Multiplication does
NOT always come first before division.
Do it one by one from left to right. Same
goes with addition and subtraction.)

GEMDAS

Perform the
operation inside the
parentheses

Let’s now find the value of 25 - 4 x (4+3) ÷ 2
using the GEMDAS Rule.
Step 1 for Grouping Symbol

25 - 4 x (4+3) ÷ 2
25 - 4 x 7 ÷ 2

2

2

2

GEMDAS

Find the value of the number
expressed in exponential
notation

Step 2 for Exponent

25 - 4 x 7 ÷ 2
25 - 4 x 7 ÷ 4

2

GEMDAS

Perform multiplication

or division from left to right

Step 3 for Multiplication/Division

25 - 4 x 7 ÷ 4
25 - 28 ÷ 4
25 - 7

GEMDAS

Perform addition
or subtraction from

left to right

Step 4 for Addition/Subtraction

25 - 7

18 – Final Answer

GEMDAS

Example 1: Simplifying expression without exponent

16 – 4 ÷ (10 - 9)

STEP 1 G 16 – 4 ÷ (10 - 9)
STEP 2 E Skip the second step if you do not have a

number expressed in exponential notation

STEP 3 D 16 – 4 ÷ 1
STEP 4 S 16 – 4
Final Answer:12

GEMDAS

Example 2: Simplifying expression without grouping symbol

76 – 3

STEP 1 G Skip the first step if you do not have any

Grouping symbol

STEP 2 E 76 – 3
STEP 3 MD Skip the third step if you do not need to
perform multiplication nor division
STEP 4 S 76 – 9
Final Answer: 67

2

2

GEMDAS

Example3: Find the value of expression with two or more
grouping symbols
25 – [14 ÷ 2 + (5 x 3) ] +10
STEP 1 Begin with the innermost parentheses then the
square brackets. Then follow the order of operations.
25 – [14 ÷ 2 + (5 x 3) ] +10
25 – [14 ÷ 2 + 15 ] +10
25 – [7 + 15 ] +10
25 – 22 +10

GEMDAS

Example 3: Find the value of expression with two or more
grouping symbols
STEP 2 Skip the second step if you do not have a number
expressed in exponential notation
STEP 3 Skip the third step if you do not need to perform
multiplication nor division
STEP 4 25 – 22 +10

3 + 10

Final Answer: 13

GEMDAS

Example 4: Find the value of 4 x 2 + (20 – 4) ÷ 2
STEP 1: G 4 x 2 + (20 – 4) ÷ 2
STEP 2: E 4 x 2 + 16 ÷ 2
STEP 3:MD 4 x 8 + 16 ÷ 2
STEP 4: AS 32 + 8
Final Answer: 40

3

3
3

GEMDAS

Example 5: Write a numerical expression to represent
the situation then find its value.
Ma’am Ivy bought school supplies for her Grade 6
pupils worth ₱4,125.00. How much change did she get
from five ₱1,000.00 bills?
STEP 1.1 Write the numerical expression
to represent the situation
(5 x 1 000) – 4,125

GEMDAS

STEP 1.2 Grouping Symbol (5 x 1 000) – 4 125

5 000 – 4 125

STEP 2 Skip the second step if you do not have a
number expressed in exponential notation
STEP 3 Skip the third step if you do not need to
perform multiplication nor division
STEP 4 Subtraction 5 000 – 4 125
Final Answer: Ma’am Ivy got ₱875.00 in exchange.

A C T I V I T Y 2

Directions: Find the value of each
expression by observing the order of
operations.

1. 5 x 7 2. 80 – 4 3. 3 x(10 + 4)

4. 2 + (6 – 3) 5. 72 ÷ 9 - 7

2

2

2

A S S E S S M E N T

Directions: Draw a circle ( ) in
column A if the given phrase in column
B is related to the given mathematical
expression in column C, and a triangle
( ) if it is not. Use the key ideas below.

A S S E S S M E N T

KEY IDEAS

• Addition (+) sum, more than and added to

• Subtraction (-) less than, difference and minus

• Multiplication (x) times, product and multiplied to

• Division (÷) quotient, divided by and divided into
a

Column A

Column B

Column C

1. ____

Two times the sum of 5 and 10

2 x (5 + 10)

2. ____

3 times the quotient of 40 and 8 3 ÷ 40 x 8

3. ____
7 less than the product of 9 and
6
7 x 9 – 6

4. ____
10 more than the difference of 56
and 21
10 + (56 - 21)

5. ____

The difference between the
quotient of 84 and 7 and the
product of 3 and 3

(84 ÷ 7) - (3 x 3)

A S S E S S M E N T

MATHEMATICS 6

QUARTER 2 WEEK 6

R E V I E W

Directions: Evaluate the following
expressions.
1) 63 ÷ 7 + 5 x 2 – 6
2) 6 ÷ 2 × 7 + 3
3) 3 × 4 + 82 – 8
4) 37 + 3 × 2 ÷ 6
5) 14 ÷ 2 – 4 + 3 × 2

Write the operation symbols (+, -, x, ÷) on
the space provided to make the statement true.

1) 8 ___ 3 ___ 2 ___ 7 = 9
2) 9 ___ 6 ___ 8 ___ 2 = 7
3) 4 ___ 3 ___ 2 ___ 1 ___ 3 = 4
4) 3 ___ 3 ___ 0 ___ 7 ___ 2 = 15
5) 6 ___ 7 ___ 10 ___ 2 ___ 5 = 42

Explain, Interpret

and Perform GEMDAS
Rule with or without
Exponent or Grouping

Symbols

GEMDAS

When we do calculations with more than

one operation, we should follow the

GEMDAS Rule

GEMDAS

1. Grouping symbols include
parentheses ( ) , square brackets [ ] and
braces { }.

2. Exponent is the number of times the
base is to be multiplied by itself.

GEMDAS

3. Multiplication or Division should
always be done from left to right.

4. Addition or Subtraction should
always be done from left to right.

GEMDAS

(Important Note: Multiplication does
NOT always come first before division.
Do it one by one from left to right. Same
goes with addition and subtraction.)

GEMDAS

Perform the
operation inside the
parentheses

Let’s now find the value of 25 - 4 x (4+3) ÷ 2
using the GEMDAS Rule.
Step 1 for Grouping Symbol

25 - 4 x (4+3) ÷ 2
25 - 4 x 7 ÷ 2

2

2

2

GEMDAS

Find the value of the number
expressed in exponential
notation

Step 2 for Exponent

25 - 4 x 7 ÷ 2
25 - 4 x 7 ÷ 4

2

GEMDAS

Perform multiplication

or division from left to right

Step 3 for Multiplication/Division

25 - 4 x 7 ÷ 4
25 - 28 ÷ 4
25 - 7

GEMDAS

Perform addition
or subtraction from

left to right

Step 4 for Addition/Subtraction

25 - 7

18 – Final Answer

GEMDAS

Example 1: Simplifying expression without exponent

16 – 4 ÷ (10 - 9)

STEP 1 G 16 – 4 ÷ (10 - 9)
STEP 2 E Skip the second step if you do not have a

number expressed in exponential notation

STEP 3 D 16 – 4 ÷ 1
STEP 4 S 16 – 4
Final Answer:12

GEMDAS

Example 2: Simplifying expression without grouping symbol

76 – 3

STEP 1 G Skip the first step if you do not have any

Grouping symbol

STEP 2 E 76 – 3
STEP 3 MD Skip the third step if you do not need to
perform multiplication nor division
STEP 4 S 76 – 9
Final Answer: 67

2

2

GEMDAS

Example3: Find the value of expression with two or more
grouping symbols
25 – [14 ÷ 2 + (5 x 3) ] +10
STEP 1 Begin with the innermost parentheses then the
square brackets. Then follow the order of operations.
25 – [14 ÷ 2 + (5 x 3) ] +10
25 – [14 ÷ 2 + 15 ] +10
25 – [7 + 15 ] +10
25 – 22 +10

GEMDAS

Example 3: Find the value of expression with two or more
grouping symbols
STEP 2 Skip the second step if you do not have a number
expressed in exponential notation
STEP 3 Skip the third step if you do not need to perform
multiplication nor division
STEP 4 25 – 22 +10

3 + 10

Final Answer: 13

GEMDAS

Example 4: Find the value of 4 x 2 + (20 – 4) ÷ 2
STEP 1: G 4 x 2 + (20 – 4) ÷ 2
STEP 2: E 4 x 2 + 16 ÷ 2
STEP 3:MD 4 x 8 + 16 ÷ 2
STEP 4: AS 32 + 8
Final Answer: 40

3

3
3

GEMDAS

Example 5: Write a numerical expression to represent
the situation then find its value.
Ma’am Ivy bought school supplies for her Grade 6
pupils worth ₱4,125.00. How much change did she get
from five ₱1,000.00 bills?
STEP 1.1 Write the numerical expression
to represent the situation
(5 x 1 000) – 4,125

GEMDAS

STEP 1.2 Grouping Symbol (5 x 1 000) – 4 125

5 000 – 4 125

STEP 2 Skip the second step if you do not have a
number expressed in exponential notation
STEP 3 Skip the third step if you do not need to
perform multiplication nor division
STEP 4 Subtraction 5 000 – 4 125
Final Answer: Ma’am Ivy got ₱875.00 in exchange.

A C T I V I T Y 3

Directions: In a game, each team will
answer a mathematical expression. Let
us help them find out if their solution is
correct. If correct, write the word
CHECK. If wrong, write the correct
solution.

A C T I V I T Y 3

Team A
6 ÷ 3 + 12 – 9
= 6 ÷ 15 – 9
= 6 ÷ 6
= 1
Team B
2 x 3 + 72 ÷ 12
= 2 x 3 + 6
= 2 + 9
= 11

A C T I V I T Y 3

Team C
20 + 6 ÷ 2 – 3

Team E

= 26 ÷ 2 – 3

4 + 16 ÷ 2

= 13 – 3

= 4 + 8

= 10

= 12

Team D
72 ÷ 9 x 24 + 10 – 5
= 8 x 24 + 10 – 5
= 8 x 34 – 5
= 272 – 5
= 267

A S S E S S M E N T

Directions: Evaluate the following
expressions.
1) (42 – 25) + (52 – 47) x 4 =
2) (43 - 4²) ÷ 8 =
3) 4³ x 3 – 7 =
4) [50 ÷ {(3 – 2) x 2}] – 16 =
5) (7 – 2) + (4² x 18) =

MATHEMATICS 6

QUARTER 2 WEEK 6

R E V I E W

Directions: Perform the indicated
operations in the mathematical
expressions below.
1) (12 + 5) x 3 =
2) 6 x 4 - (6 + 8) =
3) 24 ÷ 23 + 9 =
4) 4 + (3 x 5) + 42 =
5) (6 ÷ 3) + (9 × 3) =

Directions: Give the value of the numbers
expressed in exponential notation.
1) 102 = ______
2) 122 = ______
3) 33 = ______
4) 54 = ______
5) 26 = ______

Explain, Interpret

and Perform GEMDAS
Rule with or without
Exponent or Grouping

Symbols

GEMDAS

When we do calculations with more than

one operation, we should follow the

GEMDAS Rule

GEMDAS

1. Grouping symbols include
parentheses ( ) , square brackets [ ] and
braces { }.

2. Exponent is the number of times the
base is to be multiplied by itself.

GEMDAS

3. Multiplication or Division should
always be done from left to right.

4. Addition or Subtraction should
always be done from left to right.

GEMDAS

(Important Note: Multiplication does
NOT always come first before division.
Do it one by one from left to right. Same
goes with addition and subtraction.)

GEMDAS

Perform the
operation inside the
parentheses

Let’s now find the value of 25 - 4 x (4+3) ÷ 2
using the GEMDAS Rule.
Step 1 for Grouping Symbol

25 - 4 x (4+3) ÷ 2
25 - 4 x 7 ÷ 2

2

2

2

GEMDAS

Find the value of the number
expressed in exponential
notation

Step 2 for Exponent

25 - 4 x 7 ÷ 2
25 - 4 x 7 ÷ 4

2

GEMDAS

Perform multiplication

or division from left to right

Step 3 for Multiplication/Division

25 - 4 x 7 ÷ 4
25 - 28 ÷ 4
25 - 7

GEMDAS

Perform addition
or subtraction from

left to right

Step 4 for Addition/Subtraction

25 - 7

18 – Final Answer

GEMDAS

Example 1: Simplifying expression without exponent

16 – 4 ÷ (10 - 9)

STEP 1 G 16 – 4 ÷ (10 - 9)
STEP 2 E Skip the second step if you do not have a

number expressed in exponential notation

STEP 3 D 16 – 4 ÷ 1
STEP 4 S 16 – 4
Final Answer:12

GEMDAS

Example 2: Simplifying expression without grouping symbol

76 – 3

STEP 1 G Skip the first step if you do not have any

Grouping symbol

STEP 2 E 76 – 3
STEP 3 MD Skip the third step if you do not need to
perform multiplication nor division
STEP 4 S 76 – 9
Final Answer: 67

2

2

GEMDAS

Example3: Find the value of expression with two or more
grouping symbols
25 – [14 ÷ 2 + (5 x 3) ] +10
STEP 1 Begin with the innermost parentheses then the
square brackets. Then follow the order of operations.
25 – [14 ÷ 2 + (5 x 3) ] +10
25 – [14 ÷ 2 + 15 ] +10
25 – [7 + 15 ] +10
25 – 22 +10

GEMDAS

Example 3: Find the value of expression with two or more
grouping symbols
STEP 2 Skip the second step if you do not have a number
expressed in exponential notation
STEP 3 Skip the third step if you do not need to perform
multiplication nor division
STEP 4 25 – 22 +10

3 + 10

Final Answer: 13

GEMDAS

Example 4: Find the value of 4 x 2 + (20 – 4) ÷ 2
STEP 1: G 4 x 2 + (20 – 4) ÷ 2
STEP 2: E 4 x 2 + 16 ÷ 2
STEP 3:MD 4 x 8 + 16 ÷ 2
STEP 4: AS 32 + 8
Final Answer: 40

3

3
3

GEMDAS

Example 5: Write a numerical expression to represent
the situation then find its value.
Ma’am Ivy bought school supplies for her Grade 6
pupils worth ₱4,125.00. How much change did she get
from five ₱1,000.00 bills?
STEP 1.1 Write the numerical expression
to represent the situation
(5 x 1 000) – 4,125

GEMDAS

STEP 1.2 Grouping Symbol (5 x 1 000) – 4 125

5 000 – 4 125

STEP 2 Skip the second step if you do not have a
number expressed in exponential notation
STEP 3 Skip the third step if you do not need to
perform multiplication nor division
STEP 4 Subtraction 5 000 – 4 125
Final Answer: Ma’am Ivy got ₱875.00 in exchange.

A C T I V I T Y 4

Directions:. Use all the numbers to make
statements that produce different answers
with all the signs given.

A S S E S S M E N T

Directions. Insert parenthesis ( )
following the correct order of operations
in each of the mathematical
expressions below to make the
statements true.

A S S E S S M E N T

1) 12 – 7 x 2 = 10
2) 80 ÷ 20 x 2 = 2
3) 6 + 22 x 3 ÷ 2 = 12
4) 3 x 4 + 7 = 33
5) 4 + 4 x 4 ÷ 4 – 4 = 4