A Detailed Lesson Plan in Mathematics 7
Prepared by: Daff Jeszel R. Duran
January 22, 2025
A. Content Standard
The learner demonstrates understanding of key concepts of absolute value and its
representation on the number line.
B. Performance Standard
The learner is able to solve problems involving absolute value and apply the concept to
real-life situations.
C. Learning Competency/Objectives:
By the end of the lesson, the learners are able to:
1. Define the absolute value of an integer.
2. Represent the absolute value of integers on a number line.
3. Relate the concept of absolute value to real-life situations.
I. Content and Materials
A. Subject Matter: Absolute Value
B. References: https://depedtambayan.net/wp-content/uploads/2021/10/MATH7-
ADM-MODULE-3.pdf
C. Materials: Power point presentation, White Board, White Board Marker, Integer
Cards, Worksheets
D. Values: Absolute value teaches us to focus on the magnitude or size of something,
rather than just its direction or sign. This helps us to see the importance of things
regardless of whether they are positive or negative experiences.
Bible Verse: "Rejoice always, pray without ceasing, give thanks in all circumstances;
for this is God's will for you in Christ Jesus." (1 Thessalonians 5:16-18). This verse
emphasizes finding joy and giving thanks regardless of the circumstances, focusing
on the overall goodness of God.
Procedure:
Teacher’s Activity Student’s Activity
A. Before the Lesson
1. Prayer
2. Greetings
3. Attendance
4. Review
Short Review of the previous lesson
Motivation:
Number Line Relay
Direction: Students will be grouped into two.
Members of the group have to line up.
A large number line will be drawn in front of
each team. Each member of the team has to
go in front and pick an integer card or
operation card (this card must be solved first
before locating the integer on the number
line) on the table and locate and mark the
integer on the number line. After one member
successfully located the integer, another
member will participate, and so on and so
forth. The fastest team wins!
Are you ready class? Yes ma’am!
Sample Integer or operation cards:
1. -6
2. 10 – 11
3. 9 x -1
4. 5
5. -7
Congratulations Team 1 for winning the game!
Ask the class:
1. What did we observe about moving on the During the game, we observed that
number line during the game? we moved both to the right (positive
direction) and to the left (negative
direction) on the number line.
2. How would you describe the distance The distance between a number and
between a number and zero on the number zero on the number line is always
line? positive, regardless of whether the
number is positive or negative.
3. Base on the game we just played, what do
Based on the game, absolute value
you think is an absolute value?
seems to be the distance of a
number from zero on the number
line, regardless of its direction.
We can use absolute value to
represent real-world situations
4. How can we use absolute value to involving distance, temperature,
represent real-world situations? depth, and other quantities where
only the magnitude (size) matters,
not the direction.
"Did you notice how we had to move both
forward and backward on the number line
during the game? Today, we're going to learn
about a special concept called 'absolute value'
that helps us understand distance on the
number line, even when we're moving in
opposite directions."
B. During the Lesson
1. Activity
In order for you to have a better
understanding of our topic, let us have an
activity.
You will be grouped into 5. Each group will
be given an activity sheet. You will be (Students work collaboratively with
given 5 minutes to finish your work. their groupmates)
Expected Answers:
Student B: 4 units
Student C: 3 units
Student D: 2 units
Student E: 1 unit
Student H: 2 units
Student I: 3 units
Student J: 4 units
Student K: 5 units
2. Analysis
Time is already up!
Discussion Questions:
1. How is the distance between each The distance between each student
student and the center measured? and the center is measured by
counting the number of units (or
steps) from the center, regardless of
direction.
2. What do you notice about the The distances of the students on the
distances of the students on the left left side are equal to the distances of
side compared to the students on the the students on the right side when
right side of the center? measured as absolute values.
3. How does this activity relate to the This activity illustrates the concept of
concept of absolute value on a number absolute value by showing that the
line? distance from the center (zero) is
always positive, regardless of the
direction.
4. Can you think of real-life situations Real-life situations where absolute
where absolute value (or measuring value is important include measuring
distances without considering the distance between two locations,
direction) is important? Give examples. calculating the difference in
temperatures, or determining
elevation changes, as these focus
only on magnitude, not direction.
Nice job everyone!
3. Abstraction
1. Absolute Value
of a number is the distance between that
number and zero on the number line.
Remember distance itself is always positive.
2. Number Line
is best described as a straight line which is
extended in both directions as illustrated by
arrowheads. A number line consists of three
elements:
a. set of positive numbers, and is located to
the right of zero.
b. set of negative numbers, and is located to
the left of zero; and
c. Zero.
Notations and Symbols
The absolute value of a number is denoted by
two bars││.
|x| = x is read as "the absolute value of x is x.
|—x| = x is read as "the absolute value of - x is x.
Illustrative Examples:
A. Find the absolute value of the following:
1. |—6| Answers:
2. |25| 1. | —6| = 6, since - 6 is 6 units away
3. |—38| from 0.
4. |100| 2. |25| = 25, since 25 is 25 units
away from 0.
3. |—38| = 38, since - 38 is 38 units
away from 0.
4. |100| = 100, since 100 is 100 units
away from 0.
B. Represent the following absolute value of a
number on a number line: Answers:
1.│6│
2.│0│
3.│-3│
C. Simplify
1.│5│+│-8│= Answers:
2.│-9│+│-10│ = 1. 13
2. 19
Very Good!
4. Application
To assess your learning and understanding
of absolute value of an integer, I want you
to work in pair while answering the
following:
A. Represent the following absolute value
of a number on a number line:
a. │-7│ b. │6│
B. Simplify
a. │15│ + │-7│=
b. │-20│ + │-1│=
C. After the Lesson
1. Generalization
Do you have any questions?
If there’s none, then let’s sum up all of the
learnings you’ve learned from this lesson. Today, we learned about absolute
value! We discovered that the
Student A, B, and C can you tell me what you absolute value of a number
learned from today’s lesson? represents its distance from zero on
the number line.
Distance is always positive, so the
absolute value of any number
(positive or negative) is always
positive.
We also discussed how absolute
value can be used to represent real-
world situations like temperature,
depth, and distance traveled.
2. Assessment
3. Assignment
