DAVAO DE ORO STATE COLLEGE
P-4, San Jose, Montevista, Davao de Oro
TEACHER EDUCATION DEPARTMENT
Bachelor of Elementary Education-Generalist
Lesson Plan for Grade 6 – Mathematics
Fourth Quarter
July, 2024
I.
OBJECTIVES: At the end of the 50-minute discussion, 75% of the pupils should be able to:
a. determine the volumes of solids using formulas and steps to solve routine
problems with 75% accuracy;
b. appreciate the importance of accurate measurement in obtaining precise
results when solving routine problems involving the volume of solids through
the "Measure Me to Solve Me" activity, and;
c. compute the volumes of different solids by applying formulas and steps in
solving routine problems.
II.
SUBJECT MATTER
A. Topic: Solving Routine Problems Involving Volumes of Cylinder and Cone
B. Instructional Materials: Solid figure representation, activity sheets, manila
papers, markers, and PowerPoint presentation.
C. References: MATH6-Q4-MOD2 - DepEd Tambayan. Retrieved on July 2024
from
https://depedtambayan.net/wp-content/uploads/2022/05/MATH6-Q4MOD2.pdf. And DLP MATH May 15 - daily lesson log - Studocu. Retrieved on
July 2024 from https://www.studocu.com/ph/document/limay-polytechniccollege/bachelors-of-science-in-elementary-education/dlp-math-may-15daily-lesson-log/67803239
D. Learning Competency with Code: Solves routine and non-routine problems
involving volumes of solids (M6ME-IVc-98).
E. Curriculum Integration: Mathematics, Music, Art, and Science.
F. Value Focus: Resourcefulness, problem-solving skills, and appreciation for
measurements.
III.
PROCEDURES
Teacher’s Activity
Pupil’s Activity
A. Preparatory Activities
1. Classroom Routine
● Prayer
Class let us all stand and feel the presence of the (Pupils will all stand for prayer)
Lord.
Sam, please lead the prayer.
In the name of the Father, the Son,
and of the Holy Spirit, Lord Thank
you for today for taking care of us
and letting us to be here to attend
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our class. Bless us all Lord every
day. Amen.
● Greetings
Good morning class.
Good morning, Ma'am!
● Checking of Attendance
Before you take your seats, kindly pick up some (Pupils will pick up those scattered
scattered pieces of plastic and paper under your pieces of plastic and paper under
their chairs).
chairs.
Angel, who is absent today?
None, Ma'am.
Wow, that's good to hear. Meaning you are all Yes, Ma'am!
eager to learn. Am I right, class?
● Setting of Standards
For us to have a peaceful environment and
smooth flow in our discussion class, let's follow
our classroom rules.
Everyone, kindly please read our classroom (Pupils will read the classroom
rules).
rules.
M - Maintain focus and participate actively.
A - Ask questions and seek clarification when
needed.
T - Take responsibility for your learning and
progress.
H - Handle challenges with a positive attitude and
perseverance.
● Drill
Mental Computation: Multiply the following
fractions and whole numbers below.
1. 3×6×5 = ________
1. 90
2. 75×8×2 = _________
2. 1,200
3. 50×7×3= _________
3. 1,050
4. 9×6×8 = ________
4. 432
5. 18×7×9 = ________
5. 1,134
● Review
Class, what was our previous topic?
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Our topic yesterday was all about
finding the volumes of a cylinder,
pyramids, and cones, Ma'am.
Yes, very good!
Okay, for you to still recall those formulas on how
to find the volumes of those solid figures, let's
answer this activity first.
Answer:
1. Cone - figure lV
2. Cylinder - figure lll
4. Rectangular Prism - figure l
4. Square-Based Pyramid - figure
ll
● Motivation
Everyone, please stand again because we are
going to perform an action song entitled "It's Math
Time", with the tune of the song "I Love Math."
So, are you ready class?
Yes, Ma'am!
(Pupils will follow the teacher on
how to perform the action song).

Unlocking of Difficulties
Instructions: Decode the terms using the codes
below. This will be done through a random calling
of the students' name.
Decode Me
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(Pupils will listen to the instructions
carefully)
1. 22-1-12-21-5
2. 6-15-18-13-22-12-1
3. 3-25-12-9-14-4-5-18
4. 3-15-14-5
Answer:
1. Volume
Corresponding Words:
2. Formula
1. Volume - is the amount of space a three3. Cylinder
dimensional object occupies.
2. Formula - is a mathematical equation that 4. Cone
expresses a relationship between variables.
3. Cylinder - refers to a three-dimensional shape
with two parallel circular bases and a curved
surface connecting them.
4. Cone - refers to a three-dimensional shape
with a circular base and a curved surface that
tapers to a point called the apex.

Presentation
I will show you a picture; all you have to do is
guess and say, What is the word that comes to
mind when you observe the picture?
Guess the Word
Words:
Picture
solving
1
-
Problem/problem
Picture 2 - Solving
Picture 3 - Solid figures/figures
Picture 4
- solving
appropriate formula.
using
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B. Lesson Proper
1. Activity
I will divide the class into four (4) groups. Each group
will be given a solid figure, and they will measure the
missing measurement or number to solve the volume
of it. Once each group has determined the missing
measurement and calculated the volume, they will
present their findings to the class, explaining their
process and solution.
Measure Me to Solve me
Group 1 - Cylinder Figure
Problem: If the radius of a cylinder is measured to be Answer:
5 cm and the height is _____, the volume of the
Missing - 10 cm
cylinder would be?
V= 785 cm³
Group 2 - Cylinder Figure
Problem: If the radius of a cylinder is measured to be Answer:
______ and the height is 10 cm, the volume of the
Missing - 8 cm
cylinder would be?
V = 2,009.6
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Answer:
Missing - 8 cm
V= 133.97 cm³
Group 3 - Cone Figure
Problem: If the radius of the cone is measured to be
4 cm and the height is _______, the volume of the
cone would be?
Answer:
Missing: 5 cm
V= 523.33 cm³
Group 4 - Cone figure
Problem: If the radius of the cone is measured to be
_______ and the height is 20 cm, the volume of the
cone would be?
2. Analysis
• What did you observe from the activity?
• How did you find the volume of the solid figure and (Pupils will answer each based on
their own opinion and idea)
solve the problem assigned to your group?
• Did you use any steps or ways to find the volume
of the solid figure to solve the problem?
3. Abstraction
Please read the problem.
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(Pupils will read the problem in
chorus).
How will you solve this problem?
Use the Four-Step-Plan to solve the problem.
Step 1: UNDERSTAND
a. Know what is asked.
- The volume of the graduated cylinder filled with
water
b. Know the given facts.
- 15 cm height of the cylinder and 2 cm radius of the
base
Step 2: PLAN
Which formulas shall we use to solve the problem?
- Volume of the Cylinder Formula: V = �r²ℎ
Step 3: SOLVE
- Show your solution to the problem
To solve for the volume of the cylinder: V = �r²ℎ
Solutions:
V = πr²h
V= 3.14 × 2 cm² × 15 cm
V= 3.14 × 4 cm² × 15 cm
V= 12.56 cm² × 15 cm
V = 188.4 cm³
Step 4: CHECK
• Look back at what is asked in the problem and find
out the answer to the problem.
- The volume of the graduated cylinder filled with
water is 188.4 cm³.
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Let's try another example.
Everyone, kindly please read the problem.
(Pupils will read the problem in
chorus).
Let's follow the steps again.
Step 1: UNDERSTAND
a. Know what is asked.
- The volume of the conical container
b. Know the given facts.
- 15 cm height of the container and 2 cm radius of
the base
Step 2: PLAN
Which formulas shall we use to solve the problem?
- Volume of the Cone Formula:
Step 3: SOLVE
- Show your solution to the problem
To solve for the volume of the cone:
Solutions:
V = 1/3 πr²h
V= 1/3 × 3.14 × 2 cm² × 15 cm
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V= 1/3 × 3.14 × 4 cm² × 15 cm
V= 1/3 × 12.56 cm² × 15 cm
V = 1/3 × 188.4 cm
V= 62.8 cm³
Step 4: CHECK
• Look back at what is asked in the problem and
find out the answer to the problem.
- The volume of the conical container filled with
water is 62.8 cm³.
4. Application
I will divide the class into four (4) groups. Each group
will be given a problem to analyze. Remember to use
the problem-solving steps we discussed to find a
solution and follow the given format. Clearly show
your work on the provided manila paper. Make sure
to finish the task in five (5) minutes. Also, use 3.14
for the value of pi (�) when needed.
Solve Me to Get What I Asked
Problem Solving Challenge
Format:
1. What is asked?
2. What are given?
3. Which formula shall we use to solve the
problem?
4. What is the solution?
6. What is the answer?
Group 1:
Problem: Peter has a cylinder-shaped can. If they
can measure 30 cm, high and have a radius of 10
cm. How much water can it hold?
Group 1:
1. What is asked?
Answer: The amount of water the
cylinder can hold.
2. What are given?
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Answer: Height of 30 cm and radius
of 10 cm.
3. What formula shall we use to
solve the problem?
Answer: V= πr²h
5. What is the solution?
Answer:
V = 3. 14 × 10 cm² × 30 cm
V= 3.14 × 100 cm² × 30 cm
V= 314 cm² × 30 cm
V = 9, 420 cm³
Group 2:
6. What is the answer?
Problem: An ice cream cone has a diameter of 32
cm. and a height of 45 cm. What is its volume?
Answer: 9, 420 cm³ amount of
water the cylinder can hold.
Group 2:
1. What is asked?
Answer: The volume of the ice
cream cone.
2. What are given? Answer: Diameter of 32 mm and
height of 45 mm.
3. What formula shall we use to
solve the problem?
Answer: V= 1/3 πr²h
5. What is the solution?
Answer:
V = 1/3 × 3.14 × 16 cm² × 45 cm
V= 1/3 × 3.14 × 256 cm² × 45 cm
V= 1/3 × 803.84 cm² × 45 cm
Group 3
V= 1/3 × 36, 172.8 cm²
Problem: A cylindrical water tank has a radius of 5 V= 12, 057.6 cm³
cm. The height of the water in the tank is 8 cm. What
6. What is the answer?
is the volume of the water in the tank?
Answer: 12, 057.6 cm³ volume of
the ice cream cone.
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Group 3
1. What is asked?
Answer: Volume of the water tank
2. What are given?
Answer: radius 5 cm and height 8
cm
3. What formula shall we use to
solve the problem?
Answer: V= πr²h
5. What is the solution?
Answer:
V = 3. 14 × 5 cm² × 8 cm
V= 3.14 × 25 cm² × 8 cm
Group 4
V= 78.5 cm² × 8 cm
Problem: A pine cone has a height of 10 cm and a V = 628 cm³
radius of 4 cm at its widest point. Calculate the
volume of a pine cone to estimate the number of 6. What is the answer?
seeds it can hold.
Answer: 628 cm³ volume of in the
water tank.
Group 4
1. What is asked?
Answer: Volume of a pine cone
2. What are given?
Answer: radius 4 cm and height 10
cm
3. What formula shall we use to
solve the problem?
Answer: V= πr²h
5. What is the solution?
Answer:
V = 1/3 × 3. 14 × 4 cm² × 10 cm
V= 1/3 × 3.14 × 16 cm² × 10 cm
V= 1/3 × 50.24 cm² × 10 cm
Generalization
V= 1/3 × 502.4 cm²
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1. What are those steps that we can use to solve the V= 167.47 cm³
problem?
6. What is the answer?
Yes, very good!
Answer: 167.47 cm³ volume of a
pine cone.
2. How do you solve word problems involving the Understand, plan, solve and check
measurement of the volume of solid figures?
ma'am.
Yes, very good! There are steps that we should
follow in solving word problems involving the
measurement of the volume of the solid figures.
We need to follow the four steps in
solving the problem ma'am.
STEPS:
1. Know and understand the problem.
- What is asked?
- What are given?
2. Plan for the solution.
- What is the word clue and operation to be used?
- What is the number sentence?
3. Carry out the plan and solve.
- Solve the number sentence.
- What is the answer?
4. Look back and check.
- Find out if you answered the problem correctly.
IV.
Evaluation
Part l
Instructions: Solve the following problems. Write your answers on a separate sheet of paper.
Use 3.14 for the value of pi (�) when needed. Make sure to provide solutions and encircle the
final answer.
1. A conical paper cup has a radius of 4 cm and a height of 6 cm. What is the volume of the
cup?
2. A cylindrical water tank has a radius of 3 meters and a height of 5 meters. How much water
can it hold?
3. Ms. Fernandez asked Mark to fill a conical ice cream cone, with a height of 10 cm and a
radius of 3 cm, with ice cream. What is the volume of the ice cream cone?
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4. A cylindrical storage drum has a diameter of 1.2 meters and a height of 1.5 meters. What is
the volume of the drum?
5. Mr. David requested Lisa to fill a cylindrical glass, with a height of 15 cm and a diameter of 8
cm, with juice. What is the volume of the glass?
Part ll
Instructions: Complete the table based on the given problem below.
PROBLEM:
A party hat is shaped like a cone. If the base diameter is 20 cm and the slant height is 30 cm, what
is the volume of the hat?
Table
V.
Assignmentt
Instructions: Read and analyze the problem carefully. Make sure to provide solutions to your
and encircle the final answer. Use 3.14 value of π if needed. Submit your answer tomorrow
during our class session.
1. A cylinder has a circular base with a radius of 230 meters and a height of 146 meters. What is its
volume?
2. A cone has a slant height of 13 cm and a radius of 3 cm. Compute the volume of the cone.
3. A cylinder has a radius of 5 cm and a height of 10 cm. Find its volume.
4. A cone has a radius of 4 cm and a height of 9 cm. Find the slant height of the cone.
5. A cylinder has a circular base with an area of 64 square centimeters and a volume of 128 cubic
centimeters. What is the height of the cylinder?
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Prepared by:
DALLY ROSE Z. SORIANO
Aspiring Field Study Student
Checked by:
MARY GRACE L. SOLDE, LPT
Mentor
Rated by:
LOREN P. SANGCO, MAEE
Panel 1
REISHA P. VALE, MAED
Panel 2
CHRIS COSTAN, LPT
Panel 3
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