DEMONSTRATION LESSON PLAN IN MATHEMATICS 6
Second Quarter
I.Content Standard
The learner demonstrates understanding of order of operations, ratio and proportion , percent,
exponents and integers.
II. Performance Standard
The learner is able to apply knowledge of order of operations , ratio and proportion , percent ,
exponents and integers in mathematical problems and real life situations.
III. Learning Skills/ Objectives
1. Recognize order of operations on whole number
2. Interprets and explains the grouping , exponent , multiplication , division , addition ,
subtraction ( GEMDAS) rule M6NS IIf- 148
3. Performs two or more different operations on whole numbers with or without exponents and
grouping symbols M6NSIIf- 149
Topic: Interpreting and Explaining the grouping , exponent, multiplication , division, addition,
subtraction ( GEMDAS) rule
Reference Material: MELC p 298
21st Centurty Mathletes p. 180- 183
Learner’s Materials
Meta card, activity sheets , power point, video clip, Math Module Wk 7
IV. Procedure
A. Its Reading and Singing Time!
MATH , MATH
I love Math, I love Math
It is so exciting, very interesting
I love Math
B.Review:
Evaluate the following exponential numbers. Tell if the answer is Check or Wrong
1. 5 ² = 25
2. 6 ³ = 18
3. 5 ³ = 125
4. 10³ = 1000
5. 7 ² = 49
C.Motivation ( Situation)
Agnes got sick and was absent from school for a week . The teacher sent her some
homeworks to work on. But she is hard up so she posts it in the facebook asking anyone to help
her solve the answer .
1. 3 x 2 + 6 ÷ 2 x 5
2. (5 + 6) x (8 x 2)
3. 5 + (5+2) – 3 + (8 ÷ 4)
4, 7 x 3 + (5-2) + 4 ²
Can you help her? Do you have an idea on how to solve the numerical sentences?
D. Presentation ( Discussion)
Together let us help Agnes solve the numerical expression.
How are the numbers different from the previuos numbers that we were solving?
There is a number enclosed in a parenthesis.
Three mathematical operations are involved
How do we solve it ?
Follow the GEMDAS rule ( Guide the children to solve the numerical expression)
E. Enlighten Me
Have the pupils watch the video clip on GEMDAS Rule
F. Let us compute more
1. 256 ÷ [ ( 4 + 2² ) x 4 ]=
2. ( 8 x 9 ²) - 2³ + 10 ÷ 2 =
3. 16 - 6² + 36 =
4. ( -3 )² - 12 + 2 =
5. 5 - 5 x 4 + 1 =
G. Lets do More ( Group Activity)
Setting of Standards
Group I- Solve for the answer)
1. 3 x ( 13 - 5 ) + 2 =
2. ( 8 x 2) - ( 9 - 2² ) =
3. 20 - 5 x 4 + 1=
4. 3 + 2 + 8 ÷ 4
5. 3 ² - 15 ÷ 5 + ( 6 + 4 )
Group II ( Modified True or False)
Evaluate the following number expression. Write TRUE if the answer is correct and if it is wrong
write the correct answer.
1. 10 - 4 = 9 ÷ 3 = 9
2. ( 8 + 2 ) - ( 9 - 2² ) = 6
3. 3 x 8 + 16 ÷ 4 = 28
4. 2 x 2 - 4÷ 2 + 4 = 12
5. 10 + 2 + 4 ÷ 4 ( 4 - 3 ) = 2
Group III
Read and analyze each item . Encircle the letter of the correct answer .
1. Order in which steps must be done to simplify an expression . This follows rules of each set of
operation
A. PEMDAS
B. GEMDAS
C. . Order of operation
2. 3 + 4 - 8 x 2 + ( 4 + 2 )=
A. 4
B. 8
C. -3
D. -17
3. 24 - 4 ² x 3 + 15 =
A. 9
B. - 9
C. 39
D. - 39
4. ( 8 - 3 ) ² - 25 ÷ 5 + ( 5 - 3) =
A. 25
B. 22
C. 23
D. 24
5. 11- 3² + 3=
A. 5
B. 6
C. 7
D. 8
( Presentation of Group Work)
G.Generalization
What have we learned today?
What are the rules to follow in solving numerical expressions incolving different operations?
GEMDAS Rule
Rule 1- Perform all the operations inside the grouping symbols ( parentheses and brackets) and all
operations below or above the the bivision bar.
Rule 2- Evaluate the numbers with exponenets
Rule 3- Perform multiplication and division as they occur from left to right.
Rule 4- Perform addition and subtraction as they occur from left to write.
H. Practice Exercice Towards Mastery
Joey and Joseph are working on their assignment . Thay are asked to solve this numerical
expression: 45 ÷ 3 x 2 + ( 10 + 11) . However they got different answers.
Joey’s Solution
Joseph’s Solution
45 ÷ 3 x 3 + ( 10 + 11)
= 15 x 3 + ( 10 + 11)
= 45 + ( 10 + 11)
= 45 + 21
= 66
45÷ 3 x 3 + ( 10 + 11)
= 45 ÷ 9 + ( 10 + 11)
= 5 + ( 10 + 11)
= 5 + 21
= 26
V. Evaluation:
Read each item carefully. Write the letter of the correct answer in your answer sheet.
1. What is the value of the expression below
6 + 16 x 2 ÷ 8 - 5
A. 15
B. 12
C. 8
D. 5
2. Which expression has a value of 45?
A. 3 x 4 + 5 - 6
B. 9 x 4 - 2 ÷ 2 + 10
C. 6 - 5 x 9 + 12
D. 8 ÷ 4 + 16 - s x 1
3. What is the last operation to be done in the expression below?
72 ÷ 2 x 4 - 2 ² + 5
A. Division
C. multiplication
B. Subtraction
D. addition
C.
4. What is the value of the expression below?
[ 48 - ( 3 x 5 ) + [ 12 ÷ 3 ) ]
A. 37
B. 56
C. 79
D. 92
5. Which of the following expressions will get the value of 75?
A. ( 7 x 7 ) + 6 x 4 + 2
C. 7 x ( 7 + 6 ) x 4 + 2
B. 7 x 7 + ( 6 x 4 ) + 2
D. 7 x 7 + 6 x ( 4 + 2 )
VI. Assignment
Write two numerical expressions involving grouping of symbols, exponents, and any of the four
fundamental operations and then solve for the answer.
.
Prepared by:
DELIA S. RUADAP
Master Teacher II
Checked and Approved by:
JAYSON B. AGUSTIN
Head Teacher III