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Inside Collection (Course): Mathematics Grade 5
Capacity
Activity 1:
DID YOU KNOW?
A liquid doesn’t have a particular shape, but takes on the shape of the container. We measure liquid in litres and millilitres. Large quantities are measured in kilolitres.
Do you still remember?
1 000 mℓ = 1 litres
1 000 litres = 1 kℓ
1. You have now seen in the sections on length and mass that we use different measuring units for different situations. In the same way we also use specific units to determine various types of capacity. In which measuring unit would you measure the content of the following?
1.1 eye drop .........................
1.2 petrol for Dad’s car .........................
1.3 a glass of fruit juice .........................
1.4 the dam that supplies water for your city? .........................
2. TO MAKE SURE OF AT HOME
2.1 A teaspoon can take ______ mℓ of liquid.
2.2 A medicine spoon can take ______ mℓ of liquid.
2.3 A tablespoon can take______ mℓ of liquid.
2.4 A teacup can take______ mℓ of liquid.
2.5 A coffee mug can take______ mℓ of liquid.
2.6 Dad’s car can take ______ litres of petrol in its tank.
2.7 Your swimming pool (if you have one) takes ______ kℓ water.
2.8 Your kettle holds______ litres of water
2.9 A small bottle of medicine takes______ mℓ
2.10 You bath in about ______ litres of water
3. Use the above answers to answer the following:
3.1 Every day Mom drinks five cups of tea. How many mℓ of tea is that? .....................
How many litres of tea does she drink daily? .....................
3.2 Dad drinks three mugs of coffee at work. How many mℓ of coffee is that? ..................
Write this as litres. .....................
you be able to take medicine before the bottle is empty? .....................
DID YOU KNOW?
The biggest waterfalls in the world are the Bogoma falls in the Congo River. Every second 17 000 kℓ flow over the edge of this waterfall! Can you say how many litres of water this is per second?
Activity 2:
To solve problems that include selecting, calculating and converting standard units [LO 4.6]
1. Complete the following tables:
| 1.1 | ml | 3 268 | 4 | .............. | 16 | .............. | 369 | .............. |
| litres | 3, 268 | .............. | 0,98 | .............. | 1,423 | .............. | 0,006 |
| 1.2 | litres | 7 000 | 18 | .............. | 1 479 | .............. | 3,012 |
| k ℓ | 7 | .............. | 0,002 | .............. | 0,261 | .............. |
2. Increase the following capacities by 75 mℓ:
2.1: 4,325 litres
2.2: 2,500 litres
2.3: 6,050 litres
2.4: 5,035 litres
4. Decrease the following capacities by 50 ℓ.
4.1: 16,750 kℓ
4.2: 13,085 kℓ
4.3: 18,900 kℓ
4.4: 17,658 kℓ
ADDITION AND SUBTRACTION:
When I add or subtract with units of length, mass and capacity it is easiest to convert everything to the smallest unit, e.g.
y = 5,094 m + 342 mm + 0,087 m + 9 mm
= 5 094 mm + 342 mm + 87 mm + 9 mm
5 094
342
87
+ 9
5 532
= 5 532 mm
y = 5,532 m
I also convert everything to the smallest unit before I subtract, e.g.
k = 9,075 ton – 4 328 kg
= 9 075 kg – 4 328 kg
9 075
− 4 328
4 747
= 4 747 kg
k = 4,747 t
5. Calculate the following:
5.1 c = 4,7 km + 876 m + 2,794 km + 65 m
5.2 e = 7,632 kg – 1 278 g
5.3 f = 2,03 kℓ + 432 litres + 0,869 kℓ + 38 litres
5.4 h = 19 litres – 2 347 mℓ
Activity 3:
To solve problems that include selecting, calculating and converting standard units [LO 4.6]
Choose a friend to work with you, and try to solve the following problems. You are NOT allowed to use a pocket calculator! Ask your teacher for paper to work on.
1. The following items must be filled with petrol:
2. A family’s mass is made up as follows:
2.1 What is the joint mass of the family in kg?
2.2 Write your answer in tons.
3. The Grade 5’s do textile painting on pieces of material that consist of the following lengths:
3.1 On how many mm of material have they painted altogether?
3.2 Give your answer in metres.
4. If an elephant has an average weight of 7 tons and a hippopotamus has an average weight of 1 500 kg, what is the difference in mass between them? Give your answer in kg first, and then in tons.
5. A barrel contains approximately 9,5 litres of water. If I fill a 775 mℓ bottle from it, how much water is left in the barrel? Write your answer as litres.
6. There are 16,84 metres of material on a roll. If your mother cuts off 739 cm, how many metres of material are left on the roll?
Write your answer as mm.!
7. Use a pocket calculator to check your answers.
8. Now compare your answers with the rest of the class and have a class discussion on the best way of solving the above-mentioned problems.
9. Give your answers to your teacher for assessment.
| 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 mℓ
1.2 ℓ
1.3 mℓ
1.4 kℓ
2. 2.1: 5
2.2: 5
2.3: 15
2.4: 200
2.5: 250
2.6 – 2.10 own answers
3. 3.1: 1 000
1 ℓ
3.2: 750
0,750
DID YOU KNOW?
17 000 000
ACTIVITY 2
2.1
| mℓ | 980 | 1 423 | 6 | ||||
| liter | 0,004 | 0,016 | 0,369 |
2.2
| liter | 2 | 261 | ||||
| kℓ | 0,018 | 1,479 | 3,012 |
3.
3.1: 4,342 ℓ
3.2: 2,575 ℓ
3.3: 6,125 ℓ
3.4: 5,110 ℓ
4.
4.1: 16,7 kℓ
4.2: 13,035 kℓ
5.
5.1: 8,435 km
8 435 m
5.2: 6 354 g
6,354 kg
5.3:3 369 ℓ
3,369 kℓ
5.4:16 653 mℓ
16,653 ℓ
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Last edited by Siyavula Uploaders on Aug 3, 2009 8:22 am -0500.