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Capacity Measuring and Conversions: A Grade 5 Mathematics Module, Study notes of Basic Electronics

A grade 5 mathematics module focusing on capacity, its measurement, and conversions between different units. Students will learn to measure and convert capacities using standard units, such as milliliters, liters, and kiloliters. Activities, did-you-know facts, and exercises to help students understand the concepts.

Typology: Study notes

2011/2012

Uploaded on 10/09/2012

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Connexions module: m30976 1
Capacity
Siyavula Uploaders
This work is produced by The Connexions Project and licensed under the
Creative Commons Attribution License
1 MATHEMATICS
2 Grade 5
3 MEASUREMENT AND TIME
4 Module 53
5 CAPACITY
Capacity
Activity 1:
To solve problems that include the selection of standard units [LO 4.5.2, 4.6]
To measure accurately with the use of appropriate measuring instruments [LO 4.7.2]
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 m
`
= 1 litres
1 000 litres = 1 k
`
1. You have now seen in the sections on length and mass that we use dierent measuring units for
dierent situations. In the same way we also use specic 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 ______ m
`
of liquid.
2.2 A medicine spoon can take ______ m
`
of liquid.
2.3 A tablespoon can take______ m
`
of liquid.
2.4 A teacup can take______ m
`
of liquid.
2.5 A coee mug can take______ m
`
of liquid.
2.6 Dad's car can take ______ litres of petrol in its tank.
Version 1.1: Aug 3, 2009 8:22 am GMT-5
http://creativecommons.org/licenses/by/3.0/
http://cnx.org/content/m30976/1.1/
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Capacity

Siyavula Uploaders

This work is produced by The Connexions Project and licensed under the Creative Commons Attribution License †

1 MATHEMATICS

2 Grade 5

3 MEASUREMENT AND TIME

4 Module 53

5 CAPACITY

Capacity Activity 1:

  • To solve problems that include the selection of standard units [LO 4.5.2, 4.6]
  • To measure accurately with the use of appropriate measuring instruments [LO 4.7.2]

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 m= 1 litres 1 000 litres = 1 k

  1. You have now seen in the sections on length and mass that we use dierent measuring units for dierent situations. In the same way we also use specic 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 ______ mof liquid. 2.2 A medicine spoon can take ______ m of liquid. 2.3 A tablespoon can take______ mof liquid. 2.4 A teacup can take______ m of liquid. 2.5 A coee mug can take______ m` of liquid. 2.6 Dad's car can take ______ litres of petrol in its tank. ∗Version 1.1: Aug 3, 2009 8:22 am GMT- †http://creativecommons.org/licenses/by/3.0/

2.7 Your swimming pool (if you have one) takes ______ kwater. 2.8 Your kettle holds______ litres of water 2.9 A small bottle of medicine takes______ m 2.10 You bath in about ______ litres of water

  1. Use the above answers to answer the following: 3.1 Every day Mom drinks ve cups of tea. How many mof tea is that? ..................... How many litres of tea does she drink daily? ..................... 3.2 Dad drinks three mugs of coee at work. How many m of coee is that? .................. Write this as litres. .....................
  • If you have to drink two teaspoonfuls at a time, how many times will

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 k` ow 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,

Table 1

1.2 litres 7 000 18 .............. 1 479 .............. 3, k ` 7 .............. 0,002 .............. 0, ..............

Table 2

  1. Increase the following capacities by 75 m`: 2.1: 4,325 litres 2.2: 2,500 litres 2.3: 6,050 litres 2.4: 5,035 litres
  2. Decrease the following capacities by 50 . 4.1: 16,750 k 4.2: 13,085 k4.3: 18,900 k 4.4: 17,658 k` 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
  1. Use a pocket calculator to check your answers.
  2. 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.
  3. Give your answers to your teacher for assessment.

6 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 dierent 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:

  • mass using grams (g) en kilograms (kg);
  • capacity using millimetres (mm), centimetres (cm), metres (m) en kilometres (km);
  • length using. millimetres (mm), centimetres (cm), metres (m) en kilometres (km);

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:

  • bathroom scales, kitchen scales and balances to measure mass;
  • measuring jugs to measure capacity;
  • rulers, metre sticks, tape measures and trundle wheels to measure length.

Table 3

8 Memorandum

ACTIVITY 1

  1. 1.1 m1.2 1.3 m1.4 k
  2. 2.1: 5 2.2: 5 2.3: 15

2.6  2.10 own answers

  1. 3.1: 1 000 1 ` 3.2: 750 0, DID YOU KNOW? 17 000 000 ACTIVITY 2

m` 980 1 423 6 liter 0,004 0,016 0,

Table 4

liter 2 261 k` 0,018 1,479 3,

Table 5

3.1: 4,342 3.2: 2,575 3.3: 6,125 3.4: 5,110

4.1: 16,7 k4.2: 13,035 k

  • :18,850 k`
  • :4.4 17,608 k`

5.1: 8,435 km 8 435 m 5.2: 6 354 g 6,354 kg 5.3:3 369 3,369 k 5.4:16 653 m16,653