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Classroom Observation No. 2
Grade 9 Mathematics
ARGEL P. DALWAMPO
SST-1 Math
TRIGONOMETRY
OPENING
PRAYER
What I need to
Know?
As you go through this lesson, think of these important
questions:
 “How to illustrate angle of elevation and
angle of depression?
 “What is the importance of angle of
elevation and depression in our daily life?
4 Pics 1 Word
What’s new?
__ L __ __ A __ __ __ N
4 Pics 1 Word
What’s new?
E L E V A T I O N
4 Pics 1 Word
What’s new?
__ E __ __ E __ S __ __ N
4 Pics 1 Word
What’s new?
D E P R E S S I ON
Learning Task 1-
LOOK UP
LOOK DOWN
What I know?
Follow the steps below and answer the questions that follow:
1. Move around the room. Find one object that is at your eye level
and list them on the table and make an illustration of:
A. Objects at Eye Level
2. Let’s go outside. Find one object/structure that is above your eye
level and list them on the table and make an illustration of:
B. Objects above Eye Level
3. Now, find one object/structure that are below your eye level and
list them on the table and make an illustration of.
C. Objects below Eye Level
Learning Task 1-
LOOK UP LOOK DOWN
1.How did you find the activity?
2.Describe the illustrations you have
created from the activity.
3.What mathematical concepts have you
learned from the activity?
4.When you look up at the things above
your eye level, is there an angle formed?
5.How about when you look down?
6.Do you think you can directly measure
the height of the object/structure you
have listed in the activity?
Angle of Elevation
Angle of Depression
What is it?
LINE of SIGHT
It is an imaginary
line that connects
the eye of an
observer to the
object being
ANGLE of ELEVATION
It is the angle from
the horizontal to the
line of sight of the
observer to the
object ABOVE.
ANGLE of DEPRESSION
It is the angle from
the horizontal to the
line of sight of the
observer to the
object BELOW.
Learning Task 2:
Identify Me!
What’s more?
Complete the table below by identifying the needed information.
Horizontal
Line of Sight
Line of
Sight
Angle of
Elevation
Angle of
Depression
Complete the table below by identifying the needed information.
Horizontal
Line of Sight
Line of
Sight
Angle of
Elevation
Angle of
Depression
𝐴𝐵 𝐴𝐶 NONE ∠𝐵𝐴𝐶
Complete the table below by identifying the needed information.
Horizontal
Line of Sight
Line of
Sight
Angle of
Elevation
Angle of
Depression
Complete the table below by identifying the needed information.
Horizontal
Line of Sight
Line of
Sight
Angle of
Elevation
Angle of
Depression
𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE
𝐴𝐵 𝐴𝐶 NONE
∠𝐵𝐴𝐶
𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE
What I can do?
How did you identify the line of sight, angle of
elevation and angle of depression?
𝐴𝐵 𝐴𝐶 NONE
∠𝐵𝐴𝐶
𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE
What I can do?
What ideas have you learned from this
activity?
𝐴𝐵 𝐴𝐶 NONE
∠𝐵𝐴𝐶
𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE
What I can do?
Do you think you can use these ideas in
your daily life?
𝐴𝐵 𝐴𝐶 NONE
∠𝐵𝐴𝐶
𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE
What I can do?
Give and illustrate at least two situations in
your life involving angle of elevation and angle
of depression
What else I can do?
Draw the pictures presented by the information in
the problems given.
RUBRIC
CRITERIA Highest Possible Score
Structure 15 points
Cleanliness 10 points
Timeliness 5 points
Total 30 points
What else I can do?
Draw the pictures presented by the information in
the problems given.
1. The angle of elevation of the top of the building from
a point 30 meters away from the building is 65°.
2. An airplane is flying at a certain height above the
ground. The distance along the ground from the
airplane to an airport is 6 kilometers. The angle of
depression of the airplane to the airport is 33.69°.
3. A hiker is 400 meters away from the base of a radio
tower. The angle of elevation to the top of the tower
is 46°.
4. A bird sits on top of a 5-meter lamp post. The angle
of depression from the bird to the feet of an observer
standing away from the lamp post is 35°.
What is the importance of angle
of elevation and depression in
our daily life?
What I have learned?
Multiple Choice. Write the correct answer before each number.
__1. The line that connects the eye of an observer to the object is
called _____.
A. horizontal line B. straight line C. line of sight D. vertical line
__2. The baby is looking at the moon. The angle formed from the baby to
the moon is an_____.
A. angle of
depreciation
B. angle of
elevation
C. angle of
depression
D. angle of
oppression
__3. The angle from the horizontal to the line of sight of the observer to the
object below is called ________.
A. angle of
elevation
B. right angle C. angle of
depression
D. acute
angle
__4. On the figure above, what is the angle of depression?
A. Angle 1 B. Angle 2 C. Angle RPT D. Angle TPR
__5. On the figure above, what is the line of sight from the pilot of the
aircraft going to the tower?
THANK YOU
GODBLESS

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COT-2-ANGLE-OF-ELEVATION-DEPRESSION.pptx

  • 1. Classroom Observation No. 2 Grade 9 Mathematics ARGEL P. DALWAMPO SST-1 Math TRIGONOMETRY
  • 3. What I need to Know? As you go through this lesson, think of these important questions:  “How to illustrate angle of elevation and angle of depression?  “What is the importance of angle of elevation and depression in our daily life?
  • 4. 4 Pics 1 Word What’s new? __ L __ __ A __ __ __ N
  • 5. 4 Pics 1 Word What’s new? E L E V A T I O N
  • 6. 4 Pics 1 Word What’s new? __ E __ __ E __ S __ __ N
  • 7. 4 Pics 1 Word What’s new? D E P R E S S I ON
  • 8. Learning Task 1- LOOK UP LOOK DOWN What I know?
  • 9. Follow the steps below and answer the questions that follow: 1. Move around the room. Find one object that is at your eye level and list them on the table and make an illustration of: A. Objects at Eye Level 2. Let’s go outside. Find one object/structure that is above your eye level and list them on the table and make an illustration of: B. Objects above Eye Level 3. Now, find one object/structure that are below your eye level and list them on the table and make an illustration of. C. Objects below Eye Level
  • 10. Learning Task 1- LOOK UP LOOK DOWN 1.How did you find the activity? 2.Describe the illustrations you have created from the activity. 3.What mathematical concepts have you learned from the activity? 4.When you look up at the things above your eye level, is there an angle formed? 5.How about when you look down? 6.Do you think you can directly measure the height of the object/structure you have listed in the activity?
  • 11. Angle of Elevation Angle of Depression What is it?
  • 12. LINE of SIGHT It is an imaginary line that connects the eye of an observer to the object being
  • 13. ANGLE of ELEVATION It is the angle from the horizontal to the line of sight of the observer to the object ABOVE.
  • 14. ANGLE of DEPRESSION It is the angle from the horizontal to the line of sight of the observer to the object BELOW.
  • 15. Learning Task 2: Identify Me! What’s more?
  • 16. Complete the table below by identifying the needed information. Horizontal Line of Sight Line of Sight Angle of Elevation Angle of Depression
  • 17. Complete the table below by identifying the needed information. Horizontal Line of Sight Line of Sight Angle of Elevation Angle of Depression 𝐴𝐵 𝐴𝐶 NONE ∠𝐵𝐴𝐶
  • 18. Complete the table below by identifying the needed information. Horizontal Line of Sight Line of Sight Angle of Elevation Angle of Depression
  • 19. Complete the table below by identifying the needed information. Horizontal Line of Sight Line of Sight Angle of Elevation Angle of Depression 𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE
  • 20. 𝐴𝐵 𝐴𝐶 NONE ∠𝐵𝐴𝐶 𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE What I can do? How did you identify the line of sight, angle of elevation and angle of depression?
  • 21. 𝐴𝐵 𝐴𝐶 NONE ∠𝐵𝐴𝐶 𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE What I can do? What ideas have you learned from this activity?
  • 22. 𝐴𝐵 𝐴𝐶 NONE ∠𝐵𝐴𝐶 𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE What I can do? Do you think you can use these ideas in your daily life?
  • 23. 𝐴𝐵 𝐴𝐶 NONE ∠𝐵𝐴𝐶 𝐶𝑂 𝐶𝐷 ∠𝐷𝐶𝑂 NONE What I can do? Give and illustrate at least two situations in your life involving angle of elevation and angle of depression
  • 24. What else I can do? Draw the pictures presented by the information in the problems given. RUBRIC CRITERIA Highest Possible Score Structure 15 points Cleanliness 10 points Timeliness 5 points Total 30 points
  • 25. What else I can do? Draw the pictures presented by the information in the problems given. 1. The angle of elevation of the top of the building from a point 30 meters away from the building is 65°. 2. An airplane is flying at a certain height above the ground. The distance along the ground from the airplane to an airport is 6 kilometers. The angle of depression of the airplane to the airport is 33.69°. 3. A hiker is 400 meters away from the base of a radio tower. The angle of elevation to the top of the tower is 46°. 4. A bird sits on top of a 5-meter lamp post. The angle of depression from the bird to the feet of an observer standing away from the lamp post is 35°.
  • 26. What is the importance of angle of elevation and depression in our daily life?
  • 27. What I have learned? Multiple Choice. Write the correct answer before each number. __1. The line that connects the eye of an observer to the object is called _____. A. horizontal line B. straight line C. line of sight D. vertical line __2. The baby is looking at the moon. The angle formed from the baby to the moon is an_____. A. angle of depreciation B. angle of elevation C. angle of depression D. angle of oppression __3. The angle from the horizontal to the line of sight of the observer to the object below is called ________. A. angle of elevation B. right angle C. angle of depression D. acute angle __4. On the figure above, what is the angle of depression? A. Angle 1 B. Angle 2 C. Angle RPT D. Angle TPR __5. On the figure above, what is the line of sight from the pilot of the aircraft going to the tower?