(7) Time ( pg 74 - 108 ).doc

Convert time in fractions and decimals of a minutes to seconds.

Convert time in fractions and decimals of a minutes to seconds.

Convert time in fractions and decimals of an hour to minutes and to seconds.


Convert time in fractions and decimals of a day to hours, minutes to seconds

Convert time in fractions and decimals of a day to hours, minutes to seconds

Add time in hours, minutes and seconds.

Add time in hours, minutes and seconds.

Convert unit of time from a. Century to years and vice-versa.b. Century to decades and vice-versa.

Convert unit of time from a. Century to years and vice-versa.b. Century to decades and vice-versa.

Subtarct time in hours, minutes and seconds.

Subtarct time in hours, minutes and seconds. Multiply time in hours,

minutes and seconds.

Multiply time in hours, minutes and seconds.

Divide time in hours, minutes and seconds.

Divide time in hours, minutes and seconds. Identify the start and

end times of an event from a given duration of times

Identify the start and end times of an event from a given duration of times

Calculate the duration of an event from a given duration of time.

Calculate the duration of an event from a given duration of time.

Determine the start or end time of an event from a given duration of time.

Determine the start or end time of an event from a given duration of time.

Solve problem involving time duration in fractions and or decimals of hour, minutes and seconds

Solve problem involving time duration in fractions and or decimals of hour, minutes and seconds

WAJA MATHEMATICS YEAR 5 JPN PERAK

Read and write time in the 24 hour system.

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Learning Objectives

1. Understand and use the vocabulary related to time.2. Understand the relationship between units of time.3. Add, subtract, multiply and devide units of time.4. Use and apply knowledge of time to find the duration

Place valueDayDecomposeHoursEventMinutesPartitionCombination

WAJA MATHEMATICS YEAR 5 JPN PERAK Write the following amounts in words.

Exercise 1

Write the following amounts in numerals.

Exercise 2

Convert time from the 24-hour system to the 12-hour system .


1545 hours Fifteen forty-five hours

1. 1220 hours

2. 0425 hours

3. 2030 hours

4. 1000 hours

5. 2328 hours

Ten twenty-five hours 1025 hours

1. Two fifteen hours

2. Eleven ten hours.

3. Three hundred hours

4. Zero fifty-two hours

5. Twenty-one twenty-five hours

6. Eleven fifty-five hours

Example

Example

Example

PlusAddAltogetherAmountCalculateEqual toExact valueLessMinusRearrangeRegroupSumVertical form


Convert the time given to 12- hour system.


Convert 1400 hours to 12-hour system

2:00 p.m.

Hour Minutes1 4 0 0

– 1 2 0 00 2 0 0

After 1300 hours to the 12-hour system,subtract 1200 from

the given time

After 1300 hours to the 12-hour system,subtract 1200 from

the given time

Determinethe operation

Minus 1200 for time between 1300 hours to 2359 hours.

Add 1200 for times between 0000 hours to 0059 hours

Minus 1200 for time between 1300 hours to 2359 hours.

Add 1200 for times between 0000 hours to 0059 hours

From 0000 hours to1159 hours, we write a.m.From 1200 hours 2359 hours, we write p.m.

From 0000 hours to1159 hours, we write a.m.From 1200 hours 2359 hours, we write p.m.

WAJA MATHEMATICS YEAR 5 JPN PERAK Exercise 3

1 1400 hours = 2 1912 hours =

3 0017 hours = 4 2354 hours =

5 2200 hours = 6 0145 hours =

7 1414 hours = 8 0907 hours =

9 0010 hours 10 1201 hours

Convert time from the 12-hour system to 24-hour system..


Example

PlusAddAltogetherAmountCalculateEqual toRetain


Convert the time given to 24- hour system.

Exercise 4


Convert 8:00 p.m. to 24-hour system

1900 hours

Note: In 24-hour system we must write the

Hour Minutes0 7 0 0

+ 1 2 0 01 9 0 0

After 12:00 noonwe must add 12 hours

After 12:00 noonwe must add 12 hours

Determine the operation

Determine the operation

Write the word ‘hours’after the numeral

Write the word ‘hours’after the numeral

In the 24-hour system there are 4 digit.The first 2 digit show hours and the last 2 digit show minutes

In the 24-hour system there are 4 digit.The first 2 digit show hours and the last 2 digit show minutes


1 4:45 a.m. = 2 7:20 p.m. =

3 6:35 a.m. = 4 6:16 p.m. =

5 10:10 p.m. = 6 1:05 a.m. =

7 7:00 a.m. = 8 9:00 p.m. =

9 12:00 noon = 10 12:00 midnight =

Convert time in fractions and decimals of a minute to seconds.


Example 1

DenominatorFractioneNumeratorOne halfOne over fourProductRearrange


Convert time in fractions and decimals of a minute to seconds.


Convert minute to seconds.

× 60 =

12 seconds

=5 60)

12

5101000

1 minute = 60 secondsso, multiply by 60


Write invertical form


Example 2

ConvertDecimalDecimal placeTenthsHundredths


Convert time in fractions and decimals of minute to seconds.

Exercise 5


Convert 0.4 minute to seconds.

0.4 × 60 =

24 seconds





0.4 6 0 0 0 2 4 2 4.0

×

+

Give your answer to one decimal place

Give your answer to one decimal place


1

minute =2

minute =

3

minute =4

minute =

5

minute =6

minute =

7

1 minutes =8

1 minutes =

Convert time in fractions and decimals of minute to seconds.

Exercise 6



1 0.1 minute = 2 0.5 minute =

3 0.4 minute = 4 0.7 minute =

5 0.9 minute = 6 1.1 minutes =

7 2.3 minutes = 8 8.4 minutes =



Example 1





Convert hour to minute and to

seconds.

× 60 =

00

1 hour = 60 secondsso, the fraction multiply by 60.


Then , 120divide by 5 invertical form

Then , 120divide by 5 invertical form

=5 120)

24

10 20 20

5120

24 60 1440

×

1 minute = 60 secondsso, 24 multiply by 60


1440 seconds

Example 2




Exercise 7


Convert 0.1 hour to minute and to seconds.

0.1 × 60 =

0.1 ×60 06.0



Then , 0.1multiply by 60 in vertical form

Then , 0.1multiply by 60 in vertical form

60 6 360

×



36 seconds

Give the answer to onedecimal place

Give the answer to onedecimal place


1 hour =

2 hour =

3 hour =

4 hour =

5 hour =

6 2.5 hour =

7 0.3 hour = 8 1.4 hour =

Convert time in fractions and decimals of a day to hour, minutes and to seconds.


Example 1





Convert day to hours, to

minutes and to seconds.

Convert to minutes.1 hour = 60 minutes


60 4 240

×

Solve in veltical formSolve in veltical form

14 400 seconds

4 × 60

× 24 = 41 4

240 × 60 240 60 14400

×

Example 2

Convert to seconds.1 minute = 60 secondsSolve in veltical form


1 day = 24 hoursso, the fraction multiply by 24.

1 day = 24 hoursso, the fraction multiply by 24.





Convert 0.5 day to hours, to minutes and to seconds.

0.5 × 24 = 12

12 60 720

×

43 200 seconds

12 × 60

720 × 60 720 60 43200

×

Solve in vertical formSolve in vertical form



1 day = 24 hoursso, the multiply by 24.

1 day = 24 hoursso, the multiply by 24.




1 day =

2 day =

3 day =

4 0.2 day =

5 1.2 days = 6 0.8 day =

Convert units of time from


WAJA MATHEMATICS YEAR 5 JPN PERAK (a) century to years and vice versa

Convert units of time from


Convert 700 years to centuries.

1 century = 100 yearsso, divided by 100.

1 century = 100 yearsso, divided by 100.

Then , 700divided by 100 in

vertical form


vertical form

Example 1

7 years

000

100 700) 7

700

ConvertYearSecondMinuteHourDayWeekMonthYearDecadeCentury


WAJA MATHEMATICS YEAR 5 JPN PERAK (a) century to years and vice versa..

Convert units of time from(a) century to years and vice versa


Convert 3 centuries to years.

3 x 100

1 century = 100 yearsso, multiply by 100.

1 century = 100 yearsso, multiply by 100.

Solve in vertical form


Example 2

300 years

100 3 300×


1 500 years = 2 450 years =

3 1 000 years = 4 960 years =

5 0.8 century = 6 2.4 centuries =

7 6 centuries = 8 0.07 century =

Convert time of time from(b) century to decades and vice versa.



WAJA MATHEMATICS YEAR 5 JPN PERAK ..



Convert 200 decades to centuries.

1 century = 10 decadesso, divided by 10.

1 century = 10 decadesso, divided by 10.


vertical form


vertical form

Example 1

20 centuries

000 0 0

10 200) 20

20

Example 2


WAJA MATHEMATICS YEAR 5 JPN PERAK .



Convert 70 centuries to decades.

70 x 10

1 century = 10 decadesso, multiply by 10.

1 century = 10 decadesso, multiply by 10.

700 years



70 10 700×


1 25 decades = 2 75 decades =

3 650 decades = 4 990 decades =

5 0.1 century = 6 0.9 century =

7 1.7 centuries = 8 3.6 centuries =

Add time in hours, minutes and seconds..



Add time in hours, minutes and seconds..


4 hr 41 min 30 s

3 hr 5 min 25 s + 2 hr 20 min 45 s =

3 hr 5 min 25 s2 hr 20 min 45 s

Example

Carry out the addition

operation

Change tovertical form

2 hr 20 min 45 s 2 hr 20 min 45 s

4 hr 40 min 90 s 1 60 s 4 hr 41 min 30 s

+

–+

Regroup 60 seconds as 1 minute and 60 minute as 1 hour when necessary

Regroup 60 seconds as 1 minute and 60 minute as 1 hour when necessary

PlusAddAltogetherAmountCalculateEqual toRegroup


1 7 hr 12 min 45 s + 1 hr 45 min 40 s = 2 8 hr 42 min 25 s + 1 hr 45 min 25 s =



Subtract time in hours, minutes and seconds.


MinusSubtractDecimal pointBalanceBeforeCompareDifferenceLessLess thanLeftLower thanPositionVertical form



4 hr 35 min 5 s

5 hr 30 min 15 s – 2 hr 45 min 10 s =

5 hr 30 min 15 s 2 hr 45 min 10 s

Example

Carry out the subtractionoperation


5 hr 20 min 15 s 2 hr 45 min 10 s

4 hr 35 min 5 s

60 min + 20 min – 45 min= 35 min

60 min + 20 min – 45 min= 35 min

–

–

804

WAJA MATHEMATICS YEAR 5 JPN PERAK Subtarct time in hours, minutes and seconds.

Exercise 12

1 7 hr 12 min 45 s – 1 hr 10 min 25 s = 2 8 hr 42 min 25 s – 1 hr 45 min 20 s =



Multiplyt time in hours, minutes and seconds.


AltogetherAmountArrangeEqual toExact valueMultipleMultiplicandMultiplicationMultiplied byMultiplyMultiplierGroup ofProductRepeated additionTimesVertical Form



10 hr 1 min 20 s 10 hr 1 min 20 s

2 hr 30 min 20 s × 4 =

2 hr 30 min 20 s 4

Example 2

Carry out the multiplication

operation

Change toVertical form

×

2 hr 30 min 20 s 4

8 hr 120 min 80 s 1 60 8 hr 121 min 20 s 2 hr 120 min 10 hr 1 min 20 s

×

Regroup 120 min as 2 hours

Regroup 120 min as 2 hours

WAJA MATHEMATICS YEAR 5 JPN PERAK Multiplyt time in hours, minutes and seconds.

Exercise 13

1 6 hr 12 min 13 s × 5 = 2 5 hr 32 min 20 s × 8 =

3 9 hr 27 min 18 s × 3 = 4 6 hr 40 min 15 s × 7 =

5 7 hr 55 min 45 s × 3 = 6 9 hr 28 min 50 s × 9 =


WAJA MATHEMATICS YEAR 5 JPN PERAK Divide time in hours, minutes and seconds.


2 hr 4 min 20 s

8 hr 17 min 20 s ÷ 4 =

Example

Carry out the division

operation

Regroup 1 min to 60 sRegroup 1 min to 60 s

8 hr 17 min 20 s


)4

8 hr 17 min 20 s 8 16 60 1 80 8 00 0 0

)42 hr 4 min 20 s

ArrangeCalculateCount onDivideDivided byDividendDivisibleDivisionDivisorQuotient

WAJA MATHEMATICS YEAR 5 JPN PERAK Divide time in hours, minutes and seconds.

Exercise 14

1 7 hr 3 min 5 s ÷ 5 = 2 4 hr 32 min 33 s ÷ 3 =

3 9 hr 44 min 24 s ÷ 6 = 4 11 hr 43 min 12 s ÷ 9 =

5 1 hr 5 min 6 s ÷ 9 = 6 6 hr 32 min 10 s ÷ 5 =



Identify the start and end time of an eventCalculate the duration of an event involving

(a) hours, minutes and seconds(b) days and hours


2 hr 25 min 2 hr 25 min

Karim left her house at 2310 hours and reached his school at 1445. How long did he take totravel to his school ?


Example




2 hr 25 min

60 min + 10 min – 45 min= 25 min

60 min + 10 min – 45 min= 25 min

–

–

704

AfterAnalogue clockAnte meridiemArrivalBeforeCalendarChangeClock wiseCommon yearCompareConvertDepartureDurationEnding TimeEstimationLeap yearPost meridiemRotateRearrangeScheduleStarting timeTimeYesterday


Identify the start and end time of an eventCalculate the duration of an event involving

(c) hours, minutes and seconds(b) days and hours

Exercise 15

1 The table below shows the examination time-table for a subjects.

Subject TimeMathematics 1130 hour ─ 1245 hour

Calculate the duration of time in hourand minutes.

2 Puan Zainab spent 2 hour 25 minutescleaning her house and 1 hour 55 minutes cooking a meal. How long did she take to complete her house hold chores ?

3 A movie started at 0345 hours and ended at 0525 hours. What is the duration of the movie ?

4 What is the duration between 1245 hours and 2110 hours ?

5 Amin started a marathon race at 0835hours. He finished at 10.25 hours. Find the duration of the marathon race.

6 Suzie goes to holiday from 0845 hoursTuesdays until 0945 hours Wednesday.Find the duration she goes for holidays?



Determine the start or end time of an event from a given duration duration of time.



7: 25 a.m. 7: 25 a.m.


Example 1




7 hr 55 min

40 min + 60 min – 45 min= 55 min

40 min + 60 min – 45 min= 55 min

–

–

Seman finish his work at 1540 hours. He had been working for 7 hours 45 minutes. At what time did he start his work ?

14 100

AfterAnalogue clockAnte meridiemArrivalBeforeCalendarChangeClock wiseCommon yearCompareConvertDepartureDurationEnding TimeEstimationLeap yearPost meridiemRotateRearrangeScheduleStarting timeTimeYesterday




4:30 p.m. 4:30 p.m.

2 hr 15 min 2 hr 15 min 4 hr 30 min

+–

Table shows the time taken by Ali to revise his lesson.SubjectTime takenMathematics1 houe 30

minutesScience45 minutesAli starts his revision at 2:15 p.m. AtWhat time does Ali finish his revision ?

Change tovertical form.Carry out the

additionoperation. 1 hr 30 min

45 min 1 hr 75 min 1 hr 60 min 2 hr 15 min

+–+–

–

Next, the addition

operation.

Regroup 60 s to1 minute.

Example 2AfterAnalogue clockAnte meridiemArrivalBeforeCalendarChangeClock wiseCommon yearCompareConvertDepartureDurationEnding TimeEstimationLeap yearPost meridiemRotateRearrangeScheduleStarting timeTimeYesterday



Exercise 16

1 The train arrived at Kuala Kangsar at0235 hours and departed for KualaLumpur 4 hours 25 minutes later. Calculate the time of departure.

2 Ali started a marathon race at 0745 hours. He took 3 hours 35 minutes to complete the race. At what time did he reach the finishing line ?

3 A school concert lasted 3 hours32 minutes and ended at 6:30 p.m.What time did it start ?

4 Amin finished his work at 2345 hours.He had been working for 2 hours 55 minutes. At what time did he start his work ?

5 An examination ended at 1210 hours.It lasted 1 hour 15 minutes. At whattime did the examination start ?

6Ramlah takes hour to walk to school.

If she starts at 0845 hours, at what time does she reach school ?




Documents

(7) Time ( pg 74 - 108 ).doc