This is a lesson about distance and displacement. activities are provided. Distance is the measure of “how much ground an object has covered during its motion” while displacement refers to the measure of “how far out of place is an object.” In this article, let us understand the difference between distance and displacement. What Is Distance? Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point. Let’s understand the concept of distance with the help of the following diagram: Boy cycling his way back home from a reference point A crossing point C to get to point B Explanation of distance Distance here will be = 4m + 3m + 5m = 12 m Distance Formula How is Displacement defined? Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude. It is represented as an arrow that points from the starting position to the final position. For example- If an object moves from A position to B, then the object’s position changes. This change in the position of an object is known as Displacement.

4. MALE?
FEMALE?
TOTAL?
ABSENT?

7. REMINDER THAT THE STUDENTS WILL BE SCORED
ACCORDING TO SOLO FRAMEWORK:
•Pre-structure (-10), Unistructural
(+1), Multi-structural (+3),
Relational (+5), and Extended
Abstract (justified)

8. Directions: Guess the correct word by
applying your knowledge of element
symbols based on the given pictures.

9. Example: F A R

10. D TA
I S N C E
The length of the path taken by an object.

11. D L EME T
I S A
P C N
The distance between where the object started and where it
ended up.

12. Objectives:
The learners should be able to describe the motion of an
object in terms of distance or displacement.
At the end of the lesson, students are expected to,
● Describe the motion of an object in terms of distance and
displacement.
● Integrate the difference of distance from displacement in
real life situation.
● Create a roadmap that shows the measurement distance
from displacement .

13. Who among you has a pet
dog?
Have you experienced your
dog got lost and you must
find it?
Let us consider the situation
and relate it to our lesson
today.

14. Situation: Imagine your dog got lost out of
nowhere. You post it on your social media
account. Luckily, a neighbor in Brgy.
Domoit told you that they found your dog
and asked to pick up your dog.
Task: To reach your neighbor’s house, you
need to describe the direction traveled by
your dog.
ACTIVITY: TRAVEL!
TRAVEL!

15. Of course, you will
need a companion or a
friend to reach the
house of your
neighbor. So, look for
a pair in answering the
questions.
ACTIVITY: TRAVEL! TRAVEL!

16. Directions: Using
the figure describe
the direction
traveled by the dog
by answering the
questions that
follow.

18. 1. Based on the figure, how many paths does your dog travel?
2. What is the length of each path your dog traveled?
3. How far is the total length of the path traveled by the dog to
reach your neighbor’s house? Justify your answer by showing
the correct computation.
4. What is the length and direction of each path?
5. Analyze the figure, how far did the dog travel between the
initial position and the final position of the dog?
6. Reflect on the two ways you measure how far the dog
traveled.
ACTIVITY: TRAVEL! TRAVEL!

19. ACTIVITY: TRAVEL! TRAVEL!
Multi-structural
Level
1. Based on the
figure, how many
paths does your dog
travel?

20. ACTIVITY: TRAVEL! TRAVEL!
1.Based on the figure, how
many paths does your dog
travel?
-three paths

21. ACTIVITY: TRAVEL! TRAVEL!
Multi-structural Level
2. What is the length of each path your
dog traveled?
-10meters(m)
-5meters(m)
-10meters(m)

22. ACTIVITY: TRAVEL! TRAVEL!
Extended Abstract Level
3. How far is the total length of the path
traveled by the dog to reach your neighbor’s
house? Justify your answer by showing the
correct computation.
dt=d1 + d1 + d1
dt=10m + 5m + 10m
dt =-25meters(m)

23. ACTIVITY: TRAVEL! TRAVEL!
Multi-structural Level
4. What is the length and direction of each
path?
-10meters(m) to the East (E)
-5meters(m) to the South (S)
-10meters(m) to the West (W)

24. ACTIVITY: TRAVEL! TRAVEL!
Relational Level
5. Analyze the figure, how far did the
dog travel between the initial
position and the final position of the
dog?

25. Example: 25m
The length of the
path taken by an
object known as
DISTANCE.
Example: 5m, South
The distance between
where the object started
and where it ended up
known as
DISPLACEMENT.
• Relational Level: Reflect on the two ways you
measure how far the dog traveled.

26. WATCH
& LEARN
Directions: Watch the video
presentation about distance
and displacement to find out
their comparison.

28. SHARE YOUR
UNDERSTANDING
…

29. ACTIVITY NO. __
DISTANCE VS.
DISPLACEMENT
Directions: Complete the Venn Diagram by comparing
the difference between distance and displacement.
Choose your answer in the word pool. (1pt each)

30. ● magnitude and direction
● can be positive, negative, or 0 value
● Length of the entire path
● represented by broken lines
● always positive value
● represented by continuous lines
● vector quantity
● scalar quantity
● magnitude only
● shortest distance traveled from initial to the
final position

31. VENN DIAGRAM
DISTANCE DISPLACEMENT
Measura
ble
unit:
meters
(m)

32. VENN DIAGRAM
DISTANCE
 Length of the entire path
 represented by broken
lines
 scalar quantity
 magnitude only
 always positive value
DISPLACEMENT
• shortest distance traveled from
initial to the final position
• represented by continuous lines
• vector quantity
• magnitude and direction
• can be positive, negative, or 0
value
Measura
ble
unit:
meters
(m)

33. Based on the Venn
diagram, how will
you differentiate
distance and
displacement?

34. Distance is the length of the path
taken by an object whereas
displacement is simply the distance
between where the object started and
where it ended up.

35. 1.2.3. PICTURE!
Directions: Analyze and
describe the motion of
each picture then you will
answer some questions
related to the pictures.

37. ROLLING BALL

39. MOVING CAR

41. RUNNING DOG

43. GUIDE QUESTIONS:
1. What do we call the total length of the path traveled that is specified
by magnitude only?
2. What do we call the shortest distance between the object’s initial and
final position specified by both magnitude and direction?
3. How is it possible for displacement to be equal to distance?
4. Is it possible for displacement to be greater than distance? How will
you explain your answer?
5. If the ball, car and dog in the illustration go back to their starting
positions, what do you think will happen to their total distances? How
about their displacements?
6. If there is a straight road along the zigzag road, which route will you
take?
7. Cite situations showing the difference between distance and
displacement in other learning areas.

44. 10
seconds
Analysis

45. Unistructural level:
1. What do we call
the total length of
the path traveled
that is specified by
magnitude only?
Distance
GUIDE QUESTIONS:

46. Unistructural level:
2. What do we call
the shortest
distance between
the object’s initial
and final position
specified by both
magnitude and
direction?
Displacement
GUIDE QUESTIONS:

47. Relational level:
3. Try to analyze
Picture A, how is it
possible for
displacement to be
equal to distance?
Yes, It is
when the path
traveled is a
straight line.
GUIDE QUESTIONS:

48. Relational level:
4. Is it possible for
displacement to be
greater than
distance? How will
you explain your
answer?
No, it can be shorter, but it
cannot be greater than the
distance.
Displacement is the
shortest length between
the object’s point of origin
and its point of
destination.
GUIDE QUESTIONS:

49. Relational Level:
5. If the ball, car, and dog
in the illustration go
back to their starting
positions, what do you
think will happen to
their total distances?
How about their
displacements?
Their total distances
will increase two
times (will double)
but their
displacements will
become zero.
GUIDE QUESTIONS:

52. Relational level:
6. Analyze the old zigzag
road in Atimonan, Quezon
famously known as Bitukang
Manok, if there is a straight
road along the zigzag road,
which route will you take?
(Apply your knowledge about
hazards and risks in your
TLE subject.)
GUIDE QUESTIONS:

56. ●Zigzag roads are built
for several
reasons: To make the
road safer by reducing
the steepness of the
slope. To make the
road accessible to
vehicles and people.
To reduce the
distance between two
points.

57. Relational level:
7. Cite situations
showing the difference
between distance and
displacement in other
learning areas.
● Example:
Mathematics:
Instead of
manually solving
an equation, I will
use a calculator to
solve it fast.
GUIDE QUESTIONS:

58. Performance
Task No. ___:
My Home to
School Road
Map

59. Performance Task No. ___:
My Home to School Road Map
Work in groups then each member can choose their
tasks to do considering their skills, interests, talents,
or needs.
You can be a leader, artists/illustrator, recorders,
think-ers, reporters, and mathematics specialists
(measurement illustrators).

60. TASK & RESPONSIBILITIES
Leader- the person who leads or commands a group
Artists/Illustrator- enhance the road map
Think-ers- do the META-THINK-IT activity
Recorders- good handwriting and work with the Think-
ers
Reporters- good speaking skills and can explain
Mathematics Specialists (Measurement illustrators)- do
the distance & displacement measurements

61. Situation: As part of mitigation and
disaster risk reduction when unforeseen
calamity in your locality happens, you are
tasked to create a road map from your
home to school. Since your school is one
of the evacuation sites in your Barangay.
Performance Task No. ___:
My Home to School Road Map

62. Materials: Cartolina (any
color), pencil, marker,
coloring materials, ruler,
scissors, and tape

63. Procedures:
1. Devise a way to easily measure
distance. Let your teacher check
your non-standard measurement for
precision.

64. Procedures:
2. Using your measuring device, gather the
data that you will need for your roadmap.
Make sure that you take down notes of all
names of the roads, landmarks, corners,
posts, and establishments you pass by.
Record your data properly.

65. 3. Using your gathered data, draw your
house-school roadmap on a cartolina. Decide
on the most convenient scale to use when
you draw your roadmap. An example is
shown below
1 inch=1km

66. 4. Label your roadmap properly, including
names of the roads, establishments, etc.
Also, specify the length of the road.
5. Then, draw a broken line for the distance
6. Draw a straight line for the displacement.
7. Measure and write both the total distance
& displacement.
8. Finally, let your teacher check again your
work.

68. You will be graded using a rubrics.
Skills Beginner (3) Acceptable (4) Proficient (5)
Process Skills Members do not
demonstrate targeted
process skills.
Members occasionally
demonstrate targeted
process skills.
Members always
demonstrate targeted
process skills.
Time Management Members do not finish
on time with incomplete
data.
Members finish on time
with incomplete data.
Members finish ahead of
time with complete data.
Cooperation and
Teamwork
Members do not know
their tasks and have no
defined responsibilities.
Group conflicts have to
be settled by their
teacher.
Members have defined
responsibilities most of
the time. Group conflicts
are cooperatively
managed most of the
time.
Members are on tasks
and have defined
responsibilities at all
times. Group conflicts
are cooperatively
managed at all times.
Neatness &
Orderliness
Messy workplace during
and after activity.
Clean and orderly
workplace with
occasional mess during
and after the activity.
Clean and orderly
workplace at all times
during and after the
activity.

69. Performance
Task No. ___:
My home to
school road
map
10 meters
to the
NorthEast
10 meters
5 meters
10 meters
3 m
3 m
3 m
DISTANCE= 34 meters
DISPLACEMENT= 10 meters to the North East

70. Short
Quiz

72. SITUATION: DJ was asked by his mother to
buy a gallon of ice cream. From home he
headed north towards store 1, but
unfortunately no ice cream was available, so
he decided to go to another store which is three
blocks away from the first store. Fortunately,
there was an available ice cream in store 2. DJ
was having a hard time to decide on which
path would he use to go back home to avoid
ice cream from melting.

73. 1. If you were DJ, which path would
you follow?
A. ED then DC then CB then BA
B. EF then FA
C. EF only
D. EA only

74. 2. Which path do you think has the
longest distance?
A. AFE
B. ABCDE
C. AE
D. AC

75. 3. Analyze the picture of the map, which
of the following is the displacement of
DJ from his house to the ice cream store?
A. 16m
B. 29m
C. 30m
D. 28m

76. 4. Analyze the picture of the map, what is
the total distance traveled to reach the 2nd
store to buy ice cream? Show your
solutions.
A. 16m
B. 29m
C. 30m
D. 28m

77. 5. Based on the situation, how will you differentiate distance
and displacement?
A. Distance is a vector quantity while displacement is a scalar
quantity.
B. Distance is the total length traveled by an object while
displacement is a scalar quantity.
C. Distance is a vector quantity while displacement is the
shortest distance traveled from initial to the final position.
D. Distance is the total length traveled by an object while
displacement is the shortest distance traveled from initial to
the final position.

78. EXIT
CARD

79. Now that you have
the idea about
distance and
displacement, give
real-life situations
showing the
difference between
distance and
displacement.

81. This picture demonstrates the real-
life example, that there are two paths
in our life to reach our destination,
one is a shortcut and another one is
hard work. The majority of people
choose the first one called the
shortcut, and get tangled for the rest
of their lives, but the one who
chooses hard work, reaches his
destination faster than others.
Initial barriers are just like a closed
door which we don't prefer to break,
instead entering into an open door to
make our life more challenging. It's
never too late to implement it, now
it's up to you what you choose.