The document covers the concept of elapsed time, explaining how to calculate it using examples from students' timed activities. It introduces speed, distance, and time relationships with formulas and practical examples for calculating distance and time taken for various scenarios. Additionally, it discusses the perimeter of shapes, providing formulas and calculations for different scenarios.

1. Measurements
Chapter 9

2. LESSON 1
2
ELAPSED
ELAPSED
ELAPSED
TIME
TIME
TIME
Elapsed Time is the amount of
time it takes an activity from
start to finish.
The time we use is based in a
12-hour clock.
To find elapsed time, subtract
time started from time ended.

3. Example 1
2
1
Name Time Started Time Ended
Docto, Claud Arthor 7:45 8:16
Flores, Dolly 8:50 9:18
Garcia, Daniel 9:40 10:09
Gatoc, Kent 11:35 12:12
Limsiaco, Jessamie 12:50 1:17
Teacher Sheena Mae organized a speed competition in
multiplication of whole numbers in her class. After some
rounds, the following students emerged as top scorers. The
last basis as to who wi n first, second and third places is time
spent.

4. Docto:
Hour Minute
Time Ended
Time Started
Time Elapsed
8
7
16
45
Minute
Hour
7
7
76
45
31
Flores:
Hour
Time Ended
Minute Hour Minute
Time Started
9
8
18
50
8
8
78
50
Time Elapsed 28

5. Garcia:
Hour Minute
Time Ended
Time Started
Time Elapsed
10
9
09
40
Minute
Hour
9
9
69
40
29
Gatoc:
Hour
Time Ended
Minute Hour Minute
Time Started
12
11
12
35
11
11
72
35
Time Elapsed 37

6. Limsiaco:
Hour Minute
Time Ended
Time Started
Time Elapsed
1
12
17
50
Minute
Hour
13
12
17
50
27
Hour Minute
12
12
77
50

7. To summarize the time elapsed and the rank of each
student, we have:
Name Time Started Time Ended
Time
Elapsed
Rank
Docto, Claud Arthor 7:45 8:16 31s 4
Flores, Dolly 8:50 9:18 28s 2
Garcia, Daniel 9:40 10:09 29s 3
Gatoc, Kent 11:35 12:12 37s 5
Limsiaco, Jessamie 12:50 1:17 27s 1

8. Example 2
-
Andy helps her mother in cleaning their
house. They started cleaning at 7:32 am and
finished at 8:25 am.
Elapsed time = End time - Start time
7:85
8:25 am
7:32 am
0:53
Therefore, they cleaned the house for
exactly 53 minutes

9. Example 3
-
Jeff studied for his exam. He started at
9:17 a.m. and finished at 10:35 a.m., how
long did he study?
Elapsed time = End time - Start time
10:35 am
9:17 am
1:18
Therefore, he studied for exactly 1 hour
and 18 minutes.

10. Lesson 2
SPEED,
DISTANCE
AND TIME
Distance is the length measured
between two points or the length of
space travelled by moving object.
Time is the measured or measurable
period during which a condition,
process or action exists, takes place or
continues.
Speed or rate is the speed at which
an object or person travels.

11. Distance = Speed x Time
Speed = Distance
Time
Time = Distance
Speed
speed time
distance
Formula:

12. Example
75 km 75 km 75 km 75/2 km
1
2
1 h 1 h 1 h 0.5 h
d = 75 + 75 + 75 + 75/2
= 75 + 75 + 75 + 37.5
= 262.5 km
DISTANCE
s = 75 kph
t = 3.5 h
d = ?
Distance = Speed x Time
= 75 x 3.5
= 262.5 km

13. Example 2
2
Calculate the distance that you will travel if
you will drive for 3 hours at 70 km/h.
= 210 km
DISTANCE
= 70 km × 3 hrs
hr
= 70 km/h × 3 hrs
Distance = Speed x Time

14. Example 3
2
A family travelled from Quezon City to
Batangas City at an average speed of 60
km/h, for a total of 2 hours. How far did they
travel?
= 120 km
DISTANCE
= 60 km × 2 hrs
hr
= 60 km/h × 2 hrs
Distance = Speed x Time

15. Example 1
2
Lira drives at an average of 45 mph on a
journey of 135 miles. How long does the
journey take?
= 3 hrs
TIME
45 miles per hour
= 135 miles
Time = Distance
speed

16. Example 2 A Bus travelled 252 kilometers at 72 km/hr.
How many hours did it travel?
= 3.5 hrs.
TIME = 252 km
Time = Distance
Speed
72 km/hr

17. Example 3
2
How long does it take to travel 180
kilometers at 45 km/h?
= 4 hrs
TIME = 180 km
Time = Distance
Speed
45 km/hr

18. Example 1
2
Find the speed when, distance is 280 km
and time is 4 hours?
= 70 km/hr
SPEED
= 280 km
Speed = Distance
Time
4 hrs

19. Example 2
2
A car travels 150 km in 3 hours. Find the
speed of the car?
= 50 km/hr
SPEED
= 150 km
Speed = Distance
Time
3 hrs

20. Example 3 Find the speed when, distance is 304 km
and time is 4 hours?
= 76 km/hr
SPEED
= 304 km
Speed = Distance
Time
4 h

21. LESSON 3
2
PERIMETER
A perimeter is the distance
around a figure. It can be
solved by adding the side
lengths of the figure.
The general formula for
perimeter is P = side₁ + side₂
+ side₃ + ... + side

22. Example 1
P = s₁ + s₂ + s₃
= 14 + 18 + 6
= 38 mm
44 mm
6 mm
18 mm

23. Example 2
P = s₁ + s₂ + s₃
= 18 + 18 + 18
= 54 cm
18 cm
P = 3s
= 3(18)
= 54 cm

24. Example 3
P = s₁ + s₂ + s₃
= 35 + 35 + 35 + 35
= 140 dm
35 dm
P = 4s
= 4(35)
= 140 dm

25. Example 4
P = s₁ + s₂ + s₃
= 15.2 + 15.2 + 6.5 + 6.5
= 43. 4 cm
6.5 cm
P = 2L + 2W
= 4(15.2) + 2(6.5)
= 43.4 cm
15.2 cm

26. Example 5
P = s₁ + s₂ + s₃ + s₄
= 73
= 367 mm
73
P = 5 × s or 5s
= 5(73 )
1
2
+73
1
2
+73
1
2
+73
1
2
+ 73
1
2
1
2
1
2
= 367 mm
1
2
1
2

27. Example 6
2
A square handkerchief measures 12 cm
on each side. Leah wants to put a lace
around it. How many centimeters of lace
will she buy to decorate its side?
= 12 + 12 + 12 +12
= 48 centimeters
P = 4s
= 4 × 12 cm
= 48 cm
P = s₁ + s₂ + s₃ + s₄

28. Example 7
2
A parking lot has shape of a
parallelogram. The dimension is 55
meters long and 84 meters wide. How
much fencing materials is needed?
= 55 + 55 + 84 + 84
P = side + side + side + side
= 278 meters
P = 2 (a+b)
= 2(55 + 84)
= 278 meters
= 2(139)

29. Thank You!