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[LO 4.6]

1. Split up into groups of three. Ask your teacher for paper to work on and try to find the answers to the following:

  • Mvesi leaves by taxi on a visit to his family in Middelburg, Cape. If he departs from Cape Town and arrives in Middelburg at 17:05, how long did the journey take?
  • A participant in the Two Oceans marathon sets off at 06:15. It takes him 8 hours and 20 minutes to complete the race. At what time did he stop running?
  • Dudu is 11 years and 3 months of age. His father, Mr Sooliman, is 39 years and 11 months old. What is their combined age?
  • Mr Katlego worked overseas for 9 months and 2 weeks, while Mrs Solomons toured overseas for 4 months and 3 weeks. What is the difference in time that the two were not in South Africa?

2. Compare your answers to those of a different group.

3. Now illustrate on the board one of your calculations to the rest of the class.

4. Have a class discussion on the way in which the above-mentioned problems can be solved successfully.

Activity 7:

To determine the equivalence and validity of different representations of the same problem through comparison and discussion [LO 2.6.3]

1. In the previous activity you had the opportunity of solving problems in a way that made the most sense to you. Now work through the following with a friend and look at the different methods that were used.

The Grade 5’s are planning an outing to a crocodile farm. The buses will arrive at approximately 08:45 and will leave at 13:10. How long will they spend at the farm?

1.1 From 08:45 to 09:00 : 15 min

From 09:00 to 13:00 : 4 hours

From 13:00 to 13:10 : 10 min

Thus: Course of time: 4 h + 15 min + 10 min= 4 h 25 min

1.2 From 08:45 to 13:45 it is 5 hours

This is actually 35 minutes too much.

5 h – 35 min = 4 h 25 min

1.3 I calculate it in this way: 13 h 10 min = 12 h 70 min

− 08 h 45 min − 08 h 45 min

4 h 35 min

2. Whose method do you choose?

Why?

Activity 8:

To solve problems that include selecting, calculating with and converting standard units

[LO 4.6]

1. See whether you can solve the following on your own:

Study the tides in Table Bay.

Tides in Table bay
High tide
Today : 06:52 and 19:24
Tomorrow : 07:38 and 20:15
Low tide
Today : 00:54 and 12:40
Tomorrow : 01:41 and 13:40

1.1 How many hours and minutes will pass between “today’s” two high tide times?

1.2 How many hours and minutes pass between “tomorrow’s” two low tide times?

2. The taxi’s leave from Cape Town Station every 25 minutes. If the first taxi leaves at 06:15, write down the departure times of the 9 taxis that follow after the first one.

3. Write down the following in international time:

3.1 10 minutes earlier than 08:35 ..................................................

3.2 27 minutes earlier than 17:15 ..................................................

3.3 38 minutes earlier than 22:00 ..................................................

3.4 45 minutes earlier than 04:55 ..................................................

Activity 9:

To determine the equivalence and validity of different representations of the same problem through comparison and discussion [LO 2.6.1]

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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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