Topic 5 (Time)-Y4 09.ppt
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Transcript of Topic 5 (Time)-Y4 09.ppt
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Murugiah Velayutham/TCG 1
Teaching of Mathematicsfor Year 4 Primary School
TOPIC 5 : TIME
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Murugiah Velayutham/TCG 2
TOPIC 5 TIME
Year 4 syllabus:1. Reading & writing time.
In hours & minutes according to the 12-hours system.
eg. 8.30am ,9:15pmHalf past eight in the morningEight thirty in the morning
Nine fifteen in the evening A quarter past nine in the evening:
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Murugiah Velayutham/TCG 3
Year 4 syllabus2. Time Schedule
Construct, read and extractinformation from a simple schedule.
Extract information from a calendar.
Days in a given monthWeeks in a given year
Holiday, festivals in a given month.
- Solve simple real life problemsinvolving reading calendar
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Murugiah Velayutham/TCG 4
Year 4 syllabus
3. Relationship between units of TimeState relationship between units of time:1 day = 24 hours, 1 year = 365/366 days1 decade = 10 yearsConvert:Years to days, to months vice versa.Decades to years vice versaDays to hours vice versaHours to minutes Vice versa.
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Murugiah Velayutham/TCG 5
Year 4 syllabus
4. Basic operations involving Time
- Add, subtract, multiply and divide timeinvolving conversion of units with answersin compound units of:
a) hours & minutesb) years & months
c) decades & years
- Solve problems involving basic
operations of time.
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Murugiah Velayutham/TCG 6
Time is an abstract concept- Time is measured using a mixture ofbase 12 and base 60 systems and when
extended to days, months and years, ituses base 4, 7, 365 and 28, 29, 30 and31 systems
- Time is measured indirectly
- Clocks comes in all sorts of styles anddesigns
Difficulties in Teaching Time
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Murugiah Velayutham/TCG 7
Pedagogical Content Knowledge
Leap year:
The number of days in a year depend onwhether it is a common or a leap year.
If a year can be divided by 4 and not a multiple of
100, then the year is a leap year.If the year can be divided by 4 but is a multiple of100, then it is not a leap year.
If a year is a multiple of 100 and can be divided by
400, then it is a leap year.Which of the following are leap year?
1000, 1004, 1014, 1600, 1900, 2000, 2008
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Murugiah Velayutham/TCG 8
Reading & Writing Time
Activity 1:
Ask students to read and write the timeshown below:
1:15 in the afternoon.
1:15 pm
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Murugiah Velayutham/TCG 9
Reading & Writing Time
Activity 2:
Write the following time:(a) Twenty five minutes past nine in the
morning.
9:25 am(b) Half past three in the afternoon.
3:30 pm
(c) Ten minutes to eight in the evening
7:50 pm
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Murugiah Velayutham/TCG 10
Reading & Writing time
Activity 3:
Draw the correct hour and minute inthe picture provided:
(a) A quarter past five inthe morning
(b) Half past three in the afternoon
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Murugiah Velayutham/TCG 11
Time ScheduleExtract information from a calendar
January = 31 days July = 31 daysFebruary = 28 days August = 31 days
March = 31 days September = 30 days
April = 30 days October = 31 daysMay = 31 days November = 30 days
June = 30 days December = 31 days
365 days= 1 year ( non leap year)366 days= 1 year ( leap year)
1 decade= 10 years
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Murugiah Velayutham/TCG 12
Relationship between Units of Time(1) Convert Years to Days
(a) Non- leap yearConvert 3 years to days
3 x 365 = 1095 days
(b) Leap YearConvert 3 years including a leapyear
(2 x 365) + 366 = 1096 days
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Murugiah Velayutham/TCG 13
Relationship between Units of Time(2) Days to years
Convert 1460 days to years
1 4 6 0- 3 6 5 1 year1 0 9 5
- 3 6 5 1 year7 3 0
- 3 6 5 1 year3 6 5
- 3 6 5 1 year0 0 0 4 years
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Murugiah Velayutham/TCG 14
Relationship between Units of Time(3) Decade to years
Portuguese conquered Malacca 50decades ago. How many years have passedsince then?
(50 x 10) = 500 years
(4) Years to decadeTuanku Abdul Rahman was born in 1903.How many decades have past since thenuntil now?
2009 1903 = 106 years106 years = decade???106 10 = 10 decades 6 years
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Murugiah Velayutham/TCG 15
7.3 Relationship between Units of
Time
(5) Years to monthsConvert a year to months
( x 12) = 6 months
(6) Months to years
Convert 148 months to years148 12 = 12 years 4 months
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Murugiah Velayutham/TCG 16
7.3 Relationship between Units of Time
(7) Days to Hours
Danny spends one third of the day inschool. How many hours does hespends in school?
(1/3 x 24) = 8 hours(8) Hours to days
Convert 360 hours to days
360 24 = 15 days
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Murugiah Velayutham/TCG 17
Relationship between Units of Time
(9) Hours to minutes
Dollah spends 5 hours 30 minutes tocomplete his assignment. How manyminutes will that be?
(5 x 60) + 30 = 300 +30 = 330 minutes(10) Minutes to hours
Convert 690 minutes to hours
690 60 = 11 hours 30 minutes
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Murugiah Velayutham/TCG 18
Basic Operations :Addition &Subtraction involving Time
(1) Addition of time(a) What time is 15 hours after
10:00 am??15 hours + 10 hours = 25 hours
25 hours 12 hours = 13 hours(change a.m to p.m)13 : 00 p.m
13 hours 12 hours = 1 hour(change p.m to a.m)1:00 am
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Murugiah Velayutham/TCG 19
Addition & Subtraction involving
Time
(1) Addition of time(b) 35 minutes + 55 minutes
=_______ hours _______ minutes
35 minutes
+55 minutes
90 minutes90 60 = 1 hour 30 minutes
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Murugiah Velayutham/TCG 20
Addition & Subtraction involving Time
(1) Addition of time (years & months)
(c) 25 months + 48 months=_______ years _______ months
25 months
+48 months
73 months73 12 = 6 years 1 month
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Murugiah Velayutham/TCG 21
Addition & Subtraction involving
Time
(1) Addition of time (years & decades)(d) 40 years + 21 years
=_____ decades ____ years
40 years
+21 years
61 years61 10 = 6 decades 1 year
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Murugiah Velayutham/TCG 22
Addition & Subtraction involving
Time
(2) Subtraction of time (weeks & days)(a) What is four weeks one day minus
two weeks six days?
Weeks Days
3 4 1+7
- 2 61 2
Answer: 1 week 2 days
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Murugiah Velayutham/TCG 23
Addition & Subtraction involving
Time
(2) Subtraction of time (days & hours)(b) What is four days eleven hours
minus two days seventeen hours?
Days Hours
3 4 11+24
- 2 171 18
Answer: 1 day 18 hours
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Murugiah Velayutham/TCG 24
Addition & Subtraction involving
Time
(2) Subtraction of time (hours & minutes)(c) What is four hours eleven minutes
minus two hours forty seven minutes?
Hours Minutes
3 4 11+60
- 2 471 24
Answer: 1 hour 24 minutes
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Murugiah Velayutham/TCG 25
Addition & Subtraction involving
Time
(2) Subtraction of time (minutes & seconds)(d) What is four minutes eleven seconds
minus two minutes forty seven seconds?
Minutes Seconds3 4 11+60
- 2 471 24
Answer: 1 minute 24 seconds
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Murugiah Velayutham/TCG 26
Multiplication & Division involving Time
(1) Multiplication involving time (seconds &
minutes)(a) 48 seconds X 2 =______
Solution: 4 8
x 29 6 seconds
96 seconds: 96 60
= 1 minute 36 seconds
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Murugiah Velayutham/TCG 27
Multiplication & Division involving Time
(1) Multiplication involving time (years &
months)(b) 15 months X 5 =______
Solution: 1 5
x 57 5 months
75months: 75 12
= 6 years 3 months
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Murugiah Velayutham/TCG 28
Multiplication & Division involving Time
(1) Multiplication involving time (years &
decades)(c) 18 years X 7 =______
Solution: 1 8
x 71 2 6 years
126years: 126 10
= 12 decades 6 years
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Murugiah Velayutham/TCG 29
Multiplication & Division involving Time
(2) Division involving time (hours & minutes)
(a) 150 minutes 2 = ___hour ___ minSolution: 1 5 0 2
= 75 minutes
75 minutes = 75 60
= 1 hour 15 minutes
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Murugiah Velayutham/TCG 30
Multiplication & Division involving
Time
(2) Division involving time (years & months)(b) 128 months 8 = ___years ___ months
Solution: 1 2 8 8= 16 months
16 months = 16 12
= 1 year 4 months
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Murugiah Velayutham/TCG 31
Multiplication & Division involving
Time
(2) Division involving time (years & decades)(c) 114 years 6 = ___decade ___ years
Solution: 1 1 4 6= 19 years
19 years = 19 10
= 1 decade 9 years
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Murugiah Velayutham/TCG 32
Solving Problems involving Time
Problems involving time usually involveoperations of addition, subtraction,multiplication and division.
We have to change the amount of timeinto the same units in order to solve
problems involving more than oneoperations.
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Murugiah Velayutham/TCG 33
Example:
Hanifah stopped at Ellas restaurant forlunch. He stayed there for three and ahalf hours until he had to leave to meethis friend, Wahab, at the bus station.
The bus station is a 20- minute walk fromEllas restaurant. What is the total timein minutes taken by Hanifah by the timehe met his friend?
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Murugiah Velayutham/TCG 34
Solution Strategy:
(i) What information is given?
Stayed at restaurant: 3 hours 30 minutesTime spent to walk: 20 minutes
(ii) What is asked for?
Total time taken
(iii) What operations are needed?
Multiplication & addition
(iv) Solution:
3 hours 30 min = (3 x 60) + 30 = 210 minSpent walking = 20 min
Total = 210 + 20 = 230 minutes.