lesson exemplar

1. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
DETAILED LESSON
PLAN
School TACURONG NATIONAL HIGH SCHOOL Grade Level V
Teacher KATHERINE P. CASTILLON Learning Area Mathematics
Teaching Date
and Time
Quarter FIRST
I. OBJECTIVES
A.Content Standards
The learner demonstrates understanding of divisibility, order of operations, factors and multiples, and the
four fundamental operations involving fractions.
B.Performance Standards The learner is able to apply divisibility, order of operations, factors and multiples,and the four fundamental
operations involving fractions in mathematical problems and real-life situations.
C. Essential Learning
Competency
Solves routine and non-routine problems involving multiplicationwithout or with addition or subtraction of
fractions and whole numbers using appropriate problem solving strategies and tools. (M5NS-Ih-92.1)
D.Objectives
 Identify the steps of solving non-routine problems involving multiplication without or with addition
or subtraction of fractions and whole numbers.
 Solve non-routine problems involving multiplication without or with addition or subtraction of
fractions and whole numbers using appropriate problem solving strategies or tools.
 Value the importance of non-routine problems involving multiplication without or with addition or
subtraction of fractions and whole numbers in sharing for the goodness.
II. CONTENT
A. Topic
Solving non-routine problems involving multiplication without or with addition or subtraction of
fractions and whole numbers using appropriate problem solving strategies and tools.
B. Key Concepts Non-Routine math problem solving, Multiplying of fractions and whole numbers

2. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
C. Pre-requisite Skills
 Steps in problem solving
 Multiplying fractions and whole numbers
 Changing fractionsto lowest terms
 Changing whole numbers to fractions
 Adding and subtracting fractions and whole numbers
III. LEARNING RESOURCES
A.References
1. Teacher’sGuide Pages Teacher’s Guide p. 56 of 109
2. Learner’s Materials
Pages
Learner’s Materials p. 56 of 109
3. Textbook Pages 21st Century Mathletes pp. 78-83, Math for Life 5 (Work Text in Mathematics) pp. 68-73
4. Additional Materials
from Learning
Resource (LR) Portal
lrmds.deped.gov.ph/detail/12997
B. Other Learning Resources
 Websites
 onlinemathlearning.com/lcm-gcf-word-problems.html
 k5learning.com/free-math-worksheets/fifth-grade-5/word-problems/gcg-lcm
 http://youtu.be/nMZJKGyuKk
 Books/Journals

3. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
C. Materials PowerPoint presentation, Video Clip, laptop/desktop/tablet/smartphone/headphones
IV. PROCEDURES
A. Introduction/Learning
Objectives
(What I need to know)
Drill: “Go for Operations ”
Directions: Perform the indicated operations. Reduce to lowest terms if possible.
1. 6 x 5 =
8
2. 3 + 2 =
5
3. 6 x 8 =
9
4. 25 x 2 =
30
5. 3 _ 4 =
6
B. Review (What’s In)
Review: “Work for Good”
1. Recall the steps in solving routine problem

4. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
2. Ask the pupils solve and answer this problem.
C. Activity 1
(What’s New)
Motivation: “Technology for All”
(Show a picture of the teacher and pupils sharing in one laptop)
a. Ask the pupils about the picture.
b. Ask the pupils if what technology they have at home.
c. If they know how to use technology properly.
d. Stress the importance of sharing while learning technology.
Activity 1: “Think Before You Click”
Problem:
Lara spent 4 hours doing her homework. She spent
2
3
of it doing Mathematics. How much
time did she spend doing her Mathematics homework?

5. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
 Ask the pupils to do the following activity.
Answer the following questions:
1. What is asked? ___________________________________________________________
2. What are given? __________________________________________________________
3. What operation to be used? _______________________________________________
4. What is the number sentence? ___________________________________________
5. Solve and Give the complete answer. ______________________________________
6. Check and Look Back.
____________________________________________________
7. What did Teacher April do the pupils of KPC Elementary School? -
___________
D. Discussion of Activity 1
(What Is It)
“Listen To Me!”
The teacher discusses with the pupils the process of arriving the answer of the problem by
answering the guide questions:
The Steps in solving routine problems are:
a. Understand
1. What is asked? (How many hours of seminar and training did she give them at the end of the 4th week? )
2. What are given? (2 hours and
3
4
hours of seminar and training on Mondays and Thursdays)
b. Plan
Problem
Teacher April gives 2 hours seminar and
3
4
hours digital techonogy training to
the pupils of KPC Elementary School on Mondays and Thursdays. How many
hours of seminar and training did she give them at the end of the 4th week?

6. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
3. What operations to be used? (Addition and Multiplication)
4. What is the number sentence? (2+
3
4
) ×4 = 𝑁
c. Solve
5. Show your solution and Give the complete answer.
(2+
3
4
) ×4 = 𝑁
2
3
4
× 4 = 𝑁
11
4
×4 = 𝑁
11
4
×
4
1
= 𝑁
44
4
= 𝑁
11 = 𝑁 (11 hours)
 What is the final answer? (April had given 11 hours of seminar and training at the end of the 4th week.)
d. Check and Look back
6. Review and Check your answers.
(2+
3
4
) ×4 = 11
2
3
4
× 4 = 11
11
4
×4 = 11
11
4
×
4
1
= 11
44
4
= 11
11 = 11

7. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
E. Enrichment Activities
(What’s More)
Activity 2: “Go for School”
Ask the pupils to answer another problem.
Directions: Answer the following questions in each problem.
a. Understand
1. What is asked?
2. What are given?
b. Plan
3. What operation to be used?
4. What is the number sentence?
c. Solve and Answer
5. Solve and Give the complete answer.
Problem 1
In a graduating class of 100 pupils in the New Isabela Central Elementary
School,
2
5
decided to enroll at Tacurong National High School,
1
4
at Notre
Dame Siena College of Tacurong and the rest are still undecided. How
many pupils are undecided?
Problem 2
How far can Jacobo go in 2 days if he walks 4
1
2
hours a day at an average
speed of 5 kilometers an hour?

8. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
d. Check and Look Back.
6. Review and Check your answers.
F. Generalization
(What I Have Learned)
“I Can Listen!”
Lead the pupils to give the generalization:
 The steps in solving non-routine problems are:
a. Understand
1. What is asked:
2. What are given:
b. Plan
3. What operation to be used
4. Write the number sentence
c. Solve
5.Show your solution and Give the complete answer.
d. Check and Look back
How do we solve non-routine problems involving multiplication without or with addition or
subtraction of fractions and whole numbers?

9. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
6. Review and Check your answers.
 To solve non- routine problems involving multiplication without or with addition or subtraction
of fraction and whole numbers, read and analyze the problem carefully. Then, use other
strategies like act out the problem, listing/table method, guess and test, drawing/making a
diagram, using patterns, working backwards, etc. to solve.
G. Application
(What I Can Do)
“I Can Do Better”
Directions: Solve and answer each problem carefully.
1. Two-thirds of the Grade V pupils helped in cleaning the school ground. One-half of them are
Math Club member. How many are Math Club member if the class is composed of 48 pupils?
2. Johcon has a ₱400 daily allowance. He spent
1
4
of his money on a food and another
3
10
of his money
on a drink. How much was left to Johcon?

10. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
H. Post Assessment
“Do Your Best!”
Directions: Read carefully and answer the guide questions to arrive the correct answer:
1. Irene bought 8 meters of cloth. Rolly bought
1
4
less of what Irene has bought. How many meters
of cloth did they buy altogether?
Answer the following questions:
a. What is asked?
b. What are given?
c. What operation will be used?
d. What is the number sentence?
e. Solve and Give the complete answer.
f. Check and Look Back.
2. Javed jogs 1
1
6
kilometer each day. How many kilometers does he jog in 3 weeks?
Answer the following questions:
a. What is asked?
b. What are given?
c. What operation will be used?
d. What is the number sentence?
e. Solve and Give the complete answer.
f. Check and Look Back.

11. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
I. Additional Activity
Home Activity:
Directions: Read, analyze and solve the following problems.
1. Junwel spent
1
4
of his salary for clothes and
2
5
for education. How much money was allotted for
each item if his monthly salary was Php 1,000.
2. In Tacurong Pilot Elementary School, there were 90 grade 4 and 5 pupils who participated in the
Clean-Up Drive Program. If
1
3
of them are grade 4, how many were grade 5 pupils?
V. REMARKS
VI. REFLECTION
A. Number of learners who
earned 80% in the evaluation.
B. Number of learners who
require additional activities
for remediation who scored
below 80%.

12. Republic ofthe Philippines
Department of Education
SOCCSKSARGEN REGION
C. Did the remedial
lessons work? Number of
learners who have caught up
with the lesson.
D. Number of learners who
continue to require
remediation
E. Which of my teaching
strategies worked well? Why
did these work?
F. What difficulties did I
encounter which my principal
or supervisor can help me
solve?
G. What innovation or
localized materials did I
use/discover which I wish to
share with other teachers?