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Loretta’s practice times for gymnastics are as follows Monday : 2 hours 40 min Wednesday : 1 hour 55 min Thursday : 3 hours 18 minHow much time does she spend practising altogether?
1.1 2 hours 40 min + 1 hour 55 min + 3 hours 18 min
2 h + 1 h + 3 h = 6 h
40 min + 55 min + 18 min = 113 min
= 1 h 53 min
Thus: 6 h + 1 h + 53 min = 7 h 53 min
1.2 I prefer to write the time below each other:
2 h 40 min
1 h 55 min
3 h 18 min
6 h 113 min
= 6 h + 1 h + 53 min (113 min = 1 h 53 min)
= 7 h 53 min
2. Whose method do you like best?
Why?
Activity 10:
To solve problems that include selecting, calculating with and converting standard units
[LO 4.6]
1. In the previous activities you were exposed to a variety of methods. Now use any method and calculate:
1.1 3 weeks 5 days + 7 weeks 6 days + 9 weeks 2 days
1.2 8 days 17 hours + 5 days 21 hours + 4 days 19 hours
1.3 6 hours 45 min + 3 hours 38 min + 2 hours 54 min
1.4 5 min 29 seconds + 9 min 43 seconds + 4 min 42 seconds
1.5 7 years 9 months + 6 years 8 months + 5 years 11 months
Activity 11:
To determine the equivalence and validity of different representations of the same problem through comparison and discussion [LO 2.6.1]
1. Look at the following problem and then discuss the solutions together as a class. Make sure that you understand each method very well.
Sven has been following the programme “Survivors” on TV and noticed that team A took 4 days 18 hours to cover a certain distance. Team B took 7 days 5 hours to complete the same distance. How much longer did team B take?
1.1 I must calculate 7 days 5 hours – 4 days 18 hours.
4 days 18 hours to 5 days = 6 hours
5 days to 7 days 5 hours = 2 days 5 hours
2 days 5 hours + 6 hours = 2 days 11 hours
1.2 7 days 5 hours – 4 days 18 hours
7 days 5 hours = 6 days 29 hours (1 day = 24 hours)
6 days – 4 days = 2 days
29 hours – 18 hours = 11 hours
The answer is thus 2 days 11 hours
1.3 I answer it in this way:
6 5 + 24 = 29 (1 day = 24 hours) 7 days 5 hours
− 4 days 18 hours
2 days 11 hours (29 – 18)
Which method do you understand the best?
Activity 12:
To solve problems that include selecting, calculating with and converting standard units [LO 4.6]
1. Use all the knowledge that you have gained up to now, choose a method you prefer, and calculate the following:
1.1 19 weeks 3 days - 12 weeks 5 days
1.2 17 days 13 hours - 11 days 19 hours
1.3 9 hours 34 minutes - 3 hours 47 minutes
1.4 15 years 7 months - 9 years 10 months
CHALLENGE!
See if you can get the following information from a library (or perhaps the internet!)
1. How did all the months of the year get their names?(You already know about August).
2. Why does February only have 28 days?
3. Why do some months have 31 days and other months have 30 days?
Make a colourful poster showing the above information and share it with the class.
| LO 4 |
| MeasurementThe learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts. |
| We know this when the learner: |
| 4.1 reads, tells and writes analogue, digital and 24-hour time to at least the nearest minute and second; |
| 4.2 solves problems involving calculation and conversion between appropriate time units including decades, centuries and millennia; |
| 4.3 uses time-measuring instruments to appropriate levels of precision including watches and stopwatches; |
| 4.4 describes and illustrates ways of representing time in different cultures throughout history; |
4.5 estimates, measures, records, compares and orders two-dimensional shapes and three-dimensional objects using S.I. units with appropriate precision for:
|
| 4.6 solves problems involving selecting, calculating with and converting between appropriate S.I. units listed above, integrating appropriate contexts for Technology and Natural Sciences; |
4.7 uses appropriate measuring instruments (with understanding of their limitations) to appropriate levels of precision including:
|
ACTIVITY 1
1.
1.1: 12
1.2: April; June; September; November
1.3: January; March; May; July; August; October; December
1.4: 365
1.5: 366
1.6: 29
1.7: 5
1.8: 60
1.9: 60
1.10: 24
1.11: 52
1.12: 15
1.13: 45
1.14: 31
BRAIN-TEASER!
10
1 000 years
century
ACTIVITY 3
ACTIVITY 4
1.
1.1:
180
150
45
54
3 600
1.2
120
90
15
190
1 440
1.3
may differ
168
30
6
1.4
56
11
182
732
BRAIN-TEASER!
299
ACTIVITY 5
2.1 seven o’clock / 07:00 / 19:00
2.2 20 min. past 3 (p.m.)
2.3 five min. to 7 / 06:55 / 18:55
2.4 10 min. to 9 (a.m.)
2.5 to 5 (a.m)
2.6 half past 7; 19:30; 07:30
3. 3.1: 06:20
3.2: 18:30
3.3: 15:45
3.4: 00:00 / 24:00
3.5: 02:42
3.6: 20:36
3.7: 17:15
ACTIVITY 8
1. 1.1: 19 h 24 min.
- 06 h 52 min.
12 h 32 min.
1.2: 13 h 40 min.
- 01 h 41 min.
11 h 59 min.
2.
06:40; 07:05; 07:30
07:55; 08:20; 08:45
09:10; 09:35; 10:00
3.
3.1: 08:25
3.2: 16:48
3.3: 21:22
3.4: 04:15
ACTIVITY 10
1.
1.1: 19 w 13 d
= 20 w 6 d
1.2: 19 days 9 hours
1.3: 13 hours 17 min.
1.4: 19 min. 54 sec.
1.5: 20 years 4 months
ACTIVITY 12
1.
1.1: 6 weeks 5 days
1.2: 5 days 18 h
1.3: 5 hours 47 min.
1.4: 5 years 9 months
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