9
GRADES 1 to 12
DAILY LESSON LOG
School BANCAL INTEGRATED SCHOOL
Teacher MARY GRACE F. BALAORO
Teaching Date
March 11,2025
Grade Level
Learning Area
Quarter
7
MATHEMATICS
4th
I. OBJECTIVES
A. Content Standards
B. Performance Standards
C. Learning Competencies/
Objectives (Write the LC
Code)
II. CONTENT
The learner should have knowledge in the rearrangement of a formula to make a
different variable the subject of the formula.
By the end of the lesson, the learners are able to rearrange a formula to make a different
variable the subject of the formula. (NA)
LC 6. Solve one variable in terms of the other variables in a formula.
1. Define a literal equation.
2. Apply steps for solving linear equations to solve the literal equation.
3. Manipulate literal equations to express one variable in terms of the other
variables.
Solving Literal Equations
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
Math Counts Teachers Guide page 188 – 192
2. Learner’s Material pages
Math Counts Textbook pages 272 – 276
3. Textbook pages
4. Additional Materials from
Learning Resource portal
B. Other Learning Resources
https://www.bing.com/videos/riverview/relatedvideo?&q=Apply+steps+for+solving+linear+equatio
ns+to+solve+the+literal+equation.&&mid=F61278835DA3F90846DEF61278835DA3F90846DE&
&FORM=VRDGAR
IV. PROCEDURES
Prayer
Greetings
Attendance Checking
A. Reviewing previous
lesson or presenting a
new lesson (Elicit)
Find My Match Activity. Directions: Make each given equation correct. Use the
numbers at the right.
1. 2a + 4 =10
a =____
2
6
2. 3x + 5 = x + 15
5
x =____
1
3. 7a – ____ = 6
4
3
a=1
4. 3x – ____ =
x=2
Questions: How did you find the value of each variable?
Possible answer: Using property of equality.
B. Establishing a purpose for
the lesson (Engage)
Distance Problem
Two friends Angelo and John are having a road trip when they passed by a road sign
“Speed Limit 60kph”. Angelo asked his friend “If we need to travel for 240 kilometers to
our destination? How long are we going to travel?”
Guide Question:
1. Give the distance formula.
d = (r) (t)
2. What is asked in the problem?
How long are we going to travel?” Time
3. If you were John, how will you answer Ben’s question?
Literal Equations - an equation involving two or more variables. Unlike the
traditional equations where you often solve for one variable in terms of numbers,
in literal equation, you solve for one variable in terms of the other variable.
Group Activity (by rows)
Instruction: Each row will receive a paper where they will put their answers. Complete
the table with the expression and properties that you are going to use in manipulating the
equation. Each group will select their representative to present their work on board.
You will be given 8 minutes to complete the table and 2 minutes discussion for each
group. Rubrics for your presentation will be seen on the screen as basis of your score.
Table 1. Solve for l in the literal equation P = 2l + 2w. Show solutions and
Properties of Equality that was used.
Step
1
C. Presenting
examples/instances of the
new lesson (Explore)
KNOW
2
USE
Algebraic Equation
P = 2l + 2w
Know what you are looking for.
Look for l
𝑃 + (−2𝑤) = 2𝑙 + 2𝑤 + (−2𝑤)
Statement
Given.
What property of equality was use?
____________________________
Simplified.
1
1
( ) (𝑃 − 2𝑤) = 2𝑙 ( )
2
2
3
SIMPLIFY
𝑃 − 2𝑤 2𝑙
=
2
2
What property of equality was use?
____________________________
Simplified
Final Answer.
Table 2. Equation for r. Solve for r in the literal equation d = rt. Show solutions and
Properties of Equality that was used.
Step
1
KNOW
2
USE
Algebraic Equation
d = rt
Know what you are looking for.
Look for r
1
1
( ) 𝑑 = 𝑟𝑡 ( )
𝑡
𝑡
Statement
Given.
What property of equality was use?
____________________________
Simplified
3
SIMPLIFY
Final Answer.
Table 3. Equation for t. Solve for t in the literal equation d = rt. Show solutions and
Properties of Equality that was used.
Step
1
KNOW
2
USE
Algebraic Equation
d = rt
Know what you are looking for.
Look for t
1
1
( ) 𝑑 = 𝑟𝑡 ( )
𝑟
𝑟
Statement
Given.
What property of equality was use?
____________________________
Simplified
3
SIMPLIFY
Final Answer.
1
Table 4. Equation for b. Solve for b in the literal equation 𝐴 = 2 𝑏ℎ . Show solutions
and Properties of Equality that was used.
Step
Algebraic Equation
Statement
1
1
Given.
𝐴 = 𝑏ℎ
KNOW
2
Know what you are looking for.
Look for b
𝑏ℎ
What property of equality was use?
2
𝐴(2) =
(2)
USE
____________________________
2
Simplified.
1
1
2𝐴 ( ) = 𝑏ℎ ( )
𝑏
𝑏
3
What property of equality was use?
____________________________
Simplified
SIMPLIFY
Final Answer.
Rubrics for presentation:
Discuss the output of the students showing the steps needed to solve literal
equation. (At the same time correcting their output and giving feedbacks)
Table 1. Solve for l in the literal equation P = 2l + 2w. Show solutions and
Properties of Equality that was used.
P = 2l + 2w
Given
Know what you are looking for.
Look for l
𝑃 + (−2𝑤) = 2𝑙 + 2𝑤 + (−2𝑤)
D. Discussing new concepts
and practicing new skills #1
(Explain)
Simplified.
(𝑃 − 2𝑤) = 2𝑙
1
Use Property of equality to solve.
Addition Property of Equality (APE)
Add (−2𝑤) both side of the equation.
1
(2) (𝑃 − 2𝑤) = 2𝑙 (2)
Multiplication Property of Equality (MPE)
1
Multiply ( ) both side of the equation.
2
𝑃−2𝑤
2
=
2𝑙
2
Simplified.
𝑝
(2 − 𝑤) = 𝑙
Simplify.
Table 2: Below is the solution in finding rate using the distance formula d=rt.
Fill in the blank with the Property of Equality to explain its steps.
d = (r) (t)
look for r;
Given
Know what you are looking for.
Use Property of equality to solve.
1
1
𝑑 ( 𝑡 ) = (𝑟)(𝑡) ( 𝑡 )
Multiplication Property of Equality (MPE)
1
Multiply both side of the equation by ( 𝑡 ) ,
The reciprocal of (t), leaving r on the
other side of the equation.
1
1
𝑑 ( 𝑡 ) = (𝑟)(𝑡) ( 𝑡 )
𝑑
𝑡
Simplify.
=𝑟
Table 3: Below is the solution in finding rate using the distance formula d=rt.
Fill in the blank with the Property of Equality to explain its steps.
d = (r) (t)
Given
Know what you are looking for.
look for t;
Use Property of equality to solve.
1
1
𝑑 (𝑟 ) = (𝑟)(𝑡) (𝑟 )
Multiplication Property of Equality (MPE)
1
Multiply both side of the equation by (𝑟 ) ,
The reciprocal of (r), leaving r on the
other side of the equation.
1
1
𝑑 (𝑟 ) = (𝑟)(𝑡) (𝑟 )
𝑑
𝑟
Simplify
=𝑡
Table 4. Solve for h or the height in the formula of the area of a triangle.
1
Given
Know what you are looking for.
𝐴 = 2 𝑏ℎ
𝑏ℎ
𝐴= 2
𝑏ℎ
What do you think happened?
1
is same as 2 𝑏ℎ
2
(Multiplying 1 x bh)
Use Property of equality to solve.
𝑏ℎ
𝐴(2) = 2 (2) Multipying 2 both side of the equation. What property was use?
We used Multiplication Property of Equation (MPE)
2𝐴 = 𝑏ℎ What do you think the next property of equality we are going to use?
We are going to use Multiplication Property of Equality (MPE)
1
Multiplying both side by 𝑏.
1
1
2𝐴 (𝑏) = 𝑏ℎ (𝑏) leaving h on the other side of the equation.
2𝐴
𝑏
Simplify.
=ℎ
1
And by Symmetric Property of Equality therefore, if h is to be solved in 𝐴 = 2 𝑏ℎ
the formula will be ℎ =
2𝐴
𝑏
.
Let us go back to the first problem that we had.
Two friends Angelo and John are having a road trip when they passed by a road sign
“Speed Limit 60kph”. Angelo asked his friend “If we need to travel for 240 kilometers to
our destination? How long are we going to travel?”
Guide Question:
1.
Give the distance formula.
d = (r) (t)
2.
What is asked in the problem?
How long are we going to travel?” Time
3.
If you were John, how will you answer Ben’s question?
E. Discussing new concepts
and practicing new skills #2
(Explain)
I know you can now solve for the time.
Given
d = 240 km
r = 60kph
Manipulate the equation for distance.
𝑑
=𝑡
𝑟
Use the manipulated equation to solve for time.
Solution:
𝑑
𝑟
240𝑘𝑚
60𝑘𝑝ℎ
=𝑡
Substitution Property of Equality
=𝑡
Simplify.
4 ℎ𝑜𝑢𝑟𝑠 = 𝑡
Angelo and John travelled for 4 hours to reach their destination.
Solving literal equation will help us to manipulate literal equations to express one
variable in terms of the other variables.
Individual Activity
Get your notebook and solve each literal equation. Create 3 steps how to solve literal
equation.
F. Developing mastery (Leads
to Formative Assessment)
(Elaborate)
Unknown Variable
1. d
2. s
3. m
Formula
C = πd Circumference of a Circle
P = 4s Perimeter of a Square
y = mx + b Slope of a Line
Call students to answer the activity on board.
How did you do it?
What do you think the steps in solving literal equation?
Steps:
1. Know. Identify the variable that you need to look for and treat the other variables
/ letters as numbers.
2. Use. Use operations to move a number, term, or variable. Repeat this process
until the remaining variable is the subject.
3. Simplify the answer.
The teacher may ask the following questions before presenting the activity to class.
1. If your classmate lost something valuable while you are in the classroom, and your
seatmate suspects your friend did stole it what do you usually do?
2. Are you fair in making judgement?
Pair Activity
Gavin has a Math class in the fourth period. Before he arrived to his Math class after
recess, he found out that his Math project was missing. Help Gavin by pretend you are an
investigator who will help him find his Math project. Solve for x in the literal equations.
Then mark a “X” on the correct answers to verify who got his project, where did he left it
and what time he lost it.
1. For the WHO question
z = mx + y
G. Finding practical
applications of concepts and
skills in daily living
(Elaborate)
2. For the WHERE question
xy = wv
3. For the WHEN question
x–m=n+p
Answer: WHO: Joy
WHERE: Library
WHEN: Second period
Solve the following literal equations.
1. m = rt +n
Solve for r
I. Evaluating learning
(Evaluate)
2. V = lwh
Solve for w
3. 𝑅 = 𝑑
𝑐𝑠
Solve for c
4. x + y = c
Solve for x
5. I = p - t
Solve for p
Answer:
𝑚−𝑛
1.
𝑟=
2.
𝑤 = 𝑙ℎ
3.
4.
5.
𝑐= 𝑠
𝑥 =𝑐−𝑦
𝐼+𝑡 =𝑝
𝑡
𝑉
𝑅𝑑
Extended Activity
Equation Analysis Test
Solve the following equations by using the initials to find the missing words.
Example:
7 = W of W Answer: Wonders of the World
J. Additional activities for
application or remediation
(Extend)
V. REMARKS
VI. REFLECTION
1. 26 = L of A
2. 12 = S of the Z
3. 52 = D of C
4. 9 = P of SS
5. 4 = Q in a G
6. 12 = M in a Y
7. 3 = S of PF
8. 88 = PK
9. 24 = H in a D
10. 365 = D in a Y
__Lesson carried. Move to the next objective.
__Lesson not carried.
Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress this week. What works?
What else needs to be done to help the students learn? Identify what help your instructional supervisors can provide for
you so when you meet them, you can ask relevant questions.
A. No. of learners who earned
80% on the formative
assessment
B. No. of learners who require
additional activities for
remediation
C. Did the remedial lessons
work? No. of students who
caught up with the lesson
D. No. of learners who
continue to require
remediation
Checked by:
MARIE FLO M. AYSIP
Principal II
___________________________
Date