I.
Objectives:
a)States parenthesis, multiplication, division, addition, subtraction (PMDAS) or grouping,
multiplication, division, addition, subtraction (GMDAS) rule
b)Explain and interpret parenthesis, multiplication, division, addition, subtraction (PMDAS) or
grouping, multiplication, division, addition, subtraction (GMDAS) rule
c) Work cooperatively
II. Subject Matter: Stating, Explaining, and Interpreting Parenthesis, Multiplication, Division, Addition,
Subtraction (PMDAS) or Grouping, Multiplication, Division, Addition, Subtraction (GMDAS) rule.
Materials: Flash cards, marker pen and manila paper
References: Lesson Guide in Elementary Mathematics Grade V pages 14, 17, 23-24,Curriculum Guide 5,
M5NS-Ic-61.2
III. Procedure:
A. Preliminary Activities
1. Drill
Evaluating the expression
Mechanics:
1. Form 4 groups of pupils.
2. The teacher flashes the cards with expressions.
3. The groups are given 60 seconds to evaluate the expression.
4. One member of each group simultaneously goes to the board and writes the answer.
5. The teacher checks the answer.
6. The group with the most number of correct answer wins
Sample item:
a. 3×4+1 = c. (6+3) + 2 = e. (15 + 3) × 2 =
b. 62+3 = d. (16 ÷ 4) × 3 =
2. Review
Have a review on the divisibility rules. Provide exercises written on the flash cards.
3. Motivation
Ask pupils about the occupation of their parents. Let them tell how they help their parents earn a living.
B. Developmental Activities
1. Presentation
Present the situation to the class.
Lulu comes from school with a heavy heart because of homework. Her elder brother gives her a
helping hand. He has seen the following:
Evaluate the expressions:
a. 12 – 3 + 18 ÷ 6 × 3
b. 7 × 9 – 3 + 8
c. 18 – 12 ÷ 6 + 7
d. 9 × 9 ÷ 3 – 9 + 6
e. 16 ÷ 4 × 5 – 7 + 8
Ask: What are the given data?
What operations must be done first? second? next? last? Why?
2. Performing the Activities
Encourage the pupils to work in pairs. Have each pair of pupils evaluate the expressions.
Solutions:
a. 12 – 3 + 18 ÷ 6 × 3 b. 7 × 9 – 3 + 8 c. 18 – 12 ÷ 6 + 7
12 – 3 + 3 + 3 63 – 3 + 8 6÷6+7
12 – 3 + 9 60 + 8 1+7
9–9 68
18
d. 9 × 9 ÷ 3 – 9 + 6 e. 16 ÷ 4 × 5 – 7 + 8
81 ÷ 3 – 9 + 6 4×5–7+8
27 – 9 + 6 20 – 7 + 8
18 + 6 13 + 8
24 21
Lead the pair of pupils to process how to get the answer.
3. Processing Activities
After all the pairs process their answers, ask: “How did you find the activity? How were you able
to come up with the correct answers? What did you do?”
Discuss with the pupils the rules on how they were able to solve the order of operations. Give
more examples.
4. Reinforcing the Concept and Skill not yet done
Discuss the presentation under Explore and Discover on page 18 , LM Math Grade 5. Then,
give the following exercises.
Ask the pupils to perform the series of operation.
1. (7 × 9) + (3 ×21) 2. (18 – 5) + 6 + 2 3. ( 3 + 5) × (42 ÷ 7) 4. 36÷ 2 + 4×(4-2)
5. Summarizing the lesson
Guide the pupils to give the following generalizations by asking: What rule would you follow in
order to perform the order of operation?
Rules in the Order of Operation:
1. Perform the operations within each pair of grouping symbols (parenthesis, brackets, and
braces) beginning with the innermost pair.
2. Simplify the expression with exponents.
3. Perform multiplication and division as they occur from left to right.
4. Perform addition and subtraction as they occur from left to right.
1. Applying to New and Other Situations
Ask pupils to do items under Apply Your Skills on page 20 LM Math Grade 5.
C. Evaluation
Evaluate the following expressions by following the rules:
1. (9 – 2) + (3 × 21)
2. (18 + 14) ÷ (6 + 2)
3. (36 ÷ 22 + 4 × (4 – 2)
4. (36 – 6) + [(3 × 42) + 7]
5. (72+ 15) × 4 – (625 ÷125)
IV. Home Activity
Evaluate the following expressions by following the rules:
1. 63 ÷ 7 + 5 + 2 – 6 + 3
2. 6 + (2 × 7 + 5)
3. 3 × (4 + 82) – 8
4. 37 + 3 × 2 ÷ 6
5. 14 ÷ 2 – 3 + 2 × 2
42