Finding the distance between two points or locations.

2. In our barangayor province, was there any instancewhen a
stranger or a touristasked you aboutthe locationof a place or a
landmarks?
Were youable togive the right directionandhow far it is?
It not, couldyou give the right informationthe next time somebody
asks youthe same question?

4. 1086420
SIMPLE RECALL
The answer is 5
Find the measure of a missing segment in the following figures? (use Pythagorean
theorem)

5. 15129630
SIMPLE RECALL
The answer is 12
Find the measure of a missing segment in the following figures? (use Pythagorean
theorem)

6. 15129630
SIMPLE RECALL
The answer is 12
Find the measure of a missing segment in the following figures? (use Pythagorean
theorem)

7. 201612840
SIMPLE RECALL
The answer is 𝟐 𝟏𝟑
Find the measure of a missing segment in the following figures? (use Pythagorean
theorem)

8. 201612840
SIMPLE RECALL
The answer is 𝟒 𝟓
Find the measure of a missing segment in the following figures? (use Pythagorean
theorem)

9. CONGRATULATIONS!

10. MOTIVATION:
Do you know some Landmarks or scenery that represent
every municipality in Aklan?
Buruanga
Malay
Nabas
Ibajay
Tangalan
Makato
Numancia
Kalibo
New Washington
What scenery/landmark best represents Aklan?Why is it important to know or discover Aklan’s Natural attractions?

11. Kristina is a member of “I Love Philippines” fan page in facebook. She
and her friends are planning to post beautiful sceneries featuring
Boracay and other Aklan’s tourist’s spots. Their first destination is
Boracay and a GPS device shows that the place is located at a point
whose coordinates are (-7, 11). While she resides at barangay Solido,
Nabas, Aklan whose coordinates are (-1, 3). What is the distance of
Kristina’s place to Boracay? (Note: 1 unit is equivalent to 2 kilometers)

12. Kristina is a member of “I Love Philippines” fan page in facebook. She and her friends are planning to post
beautiful sceneries featuring Boracay and other Aklan’s tourist’s spots. Their first destination is Boracay and a
GPS device shows that the place is located at a point whose coordinates are (-7, 11). While she resides at
barangay Solido, Nabas, Aklan whose coordinates are (-1, 3). What is the distance of Kristina’s place to
Boracay? (Note: 1 unit is equivalent to 2 kilometers)

13. PQ
(𝑥1, 𝑦1)
(𝑥2, 𝑦2)
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
P
Q

14. Cartesian Coordinate Plane
A(-8, 7) B(6, 7)
Find the distance between points
A(-8, 7) and B(6, 7)
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (−14)2 + (0)2
𝑑 = 196 + 0
𝑑 = 196
𝑑 = 14
(𝑥1, 𝑦1) (𝑥2, 𝑦2)
𝑑 = (6 − (−8))2 + (7 − 7)2

15. Cartesian Coordinate Plane
A(-8, 7) B(6, 7)
C(-4, 2)
D(-4, -9)
Find the distance between points
A(-4, 2) and B(-4, -9)
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (−4 − (−4))2 + (2 − (−9))2
𝑑 = (0)2 + (11)2
𝑑 = 0 + 121
𝑑 = 121
𝑑 = 11

16. Find the distance Kristina’s residence to Boracay Island?
A(-1, 3) and
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (−7 − (−1))2 + (11 − 3)2
𝑑 = (−6)2 + (8)2
𝑑 = 36 + 64
𝑑 = 100
𝑑 = 10
Kristina’s
residence
A(-7, 11)
Boracay
Island
Therefore, the distance between Kristina’s residence to Boracay Island is 20 kilometers.

17. Pinatuad
Solido NHS
Magallanes
ILLUSTRATIVE EXAMPLES
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (2 − 6)2 + (2 − 8)2
𝑑 = (−4)2 + (−6)2
𝑑 = 16 + 36
𝑑 = 52
𝑑 = 2 13
P(6, 8) and S(2, 2)
What is the distance from Pinatuad to Solido NHS?
𝑑 = 4 ∗ 13

18. Pinatuad
Solido NHS
Magallanes
ILLUSTRATIVE EXAMPLES
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (2 − 11)2 + (2 − 5)2
𝑑 = (−9)2 + (−3)2
𝑑 = 81 + 9
𝑑 = 90
𝑑 = 3 10
M(11, 5) and S(2, 2)
What is the distance from Magallanes to Solido NHS?
𝑑 = 9 ∗ 10

19. GROUP ACTIVITY:
The question and answer choices will be displayed on
projector, whereas student screens will display on the
answer buttons.
Note: Students will select the answer choice
corresponding to the button with the same color and shape
as the answer choice.
KAHOOT TIME

20. GROUP ACTIVITY:
LET’S PLAY

21. CONGRATULATIONS!

22. PERFORMANCE TEST
Each group will create an artistic/creative illustration of
Landmarks or beautiful sceneries found in the municipality of Nabas
that you wanted to visit. You will assign a corresponding coordinates
to locate eachplace and determine thedistances withrespect to their
place ofresidence usingthe Distance Formula.
You will be given 20 minutes to do your activity, afterwards,
youroutputs willbe rated usingRubrics.

23. Kalibo(10, 4) and Madalag(4, -11)
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (4 − 10)2 + (11 − 4)2
𝑑 = (−6)2 + (7)2
𝑑 = 36 + 41
𝑑 = 77
Buranga(-18, 7) and Boracay(-18, 17)
𝑑 = (𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
𝑑 = (−18 − (−18))2 + (17 − 7)2
𝑑 = (0)2 + (10)2
𝑑 = 0 + 100
𝑑 = 100 𝑑 = 10
SAMPLE

24. 4 3 2 1
Neatness
Activity is in an
organized and is
incredibly neat, with
no smudges or tears
Activity is in an
organized and is neat,
with few smudges or
tears
Activity is in an
organized and with
several smudges or
tears
Activity is in an
disorganized , with
many smudges or
tears
Completion
All of the assigned
work is complete
Most of the assigned
work is complete
Some of the assigned
work is complete
Group did not
accomplished the
assigned work
Timeliness
Activity was received
on the due time
Activity was 5 minutes
late received
Activity was 7 minutes
late received
Activity was more
than 7 minutes late
received
Accuracy
All of the answers are
correct
Most of the answers
are correct
Some of the answers
are correct
None of the answers
are correct
Work
Shown/Creativity
All works is
meticulously/creatively
shown
Most works is
meticulously/creatively
shown
Some works is
meticulously/creatively
shown
Group did not show
any output.
RUBRICS

25. GENERALIZATION:
How to derive the distance formula?
What is its importance inourreal lifesituation?

26. ASSIGNMENT:
Learner’s ModulePage 241,
Activity 5: Howfar are we from each other

27. Ang LONG DISTANCE RELATIONSHIP ay
para sa mga matitibay yan…
Para sa marunong MAKONTENTO sa ISA…
para sa mga marunong maghintay…
Kasi paano mo masasabing MAHAL mo siya,
kung dahil lang sa DISTANSYA sumusuko
ka na?