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3. NUMBERS IN MEASUREMENTS ,[object Object],[object Object],[object Object],[object Object],[object Object]
Units of measurement Measuring unit Medium Distance Metre (m) Area Square metre (m 2 ) Volume Cubic metre (m 3 ) Volume Litre
Activity 17 ,[object Object],450m km 24,051kg g 32.8kg m 31km m 8,257l ml 60kl L 749,5g kg 141g mg 3824ml l 92m mm 2575mm m 79,5l ml 0,45 32 800 8257 0,7495 3,824 2,575  24051 31000 60000 141000 92000 79500
Activity 17 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],millimetre kilometre centimetre 1 000 000 000 000   1 048 576 0.000 000 000 001  1 nano litre 0.000 000 001 1 000 000
Activity 17 ,[object Object]
Trundling wheel kilometres millilitre Pipette millimetre Vernier caliper kilogram kilogram Bathroom scale grams Kitchen scale tons Nano metres Microscope Kilolitres Municipal  water meter Millimetre Burette Years Calendar Minutes Clock Dimension to be measured Unit of measurement Measuring instrument Distance run on a marathon route Fluid measured to exact millimetre amount by sucking out of a container Internal diameter of a pipe Weight of blue marlin caught from a deep-sea fishing boat Mass of a person before and after going on a diet Mass of ingredients used to bake a cake Mass of a ship’s container Size of a virus through a microscope Amount of water used by a municipality during 24 hours Fluid measure in a laboratory by opening a small tap in a glass tube to add drop by drop to a mixture Time slept during a lifetime of 60 years Time necessary to boil water for sterilisation purposes
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object]
3.2 Measuring instruments ,[object Object],[object Object]
Time Distance Zero velocity Object at rest Constant  Velocity
3.2 Measuring instruments ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Velocity versus time
Conversion of speed units m.h -1 km.h -1 m.s -1 ft.s -1 m.h -1 1,6093 0,44704 1,4667 km.h -1 0,62137 0,27778 0,91134 m.s- 1 2.2369 3,6 3,2808 ft.s -1 0,68182 1,0973 0,3048
Activity 18 ,[object Object],a. Volume ,[object Object],[object Object],[object Object],[object Object],[object Object]
b.  Mass c.  length ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Activity 18 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],156,25 km /h 18.88 km/h 282,35km/h 22.2 words per minute 3000 litres per hour
Activity 18 ,[object Object],[object Object],[object Object],0,75 dresses per hour Constant speed to point A. Stationary from A to B. Constant speed to point C
Activity 18 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],390 seconds = 6 ½ minutes 72 km/h 144 x 1000 ÷ 3600 = 40m/s R830 per day vs R697,50. 4 days is better value per day R712.50 vs 718; 4 days is better value for money per day
Activity 19 ,[object Object],[object Object],[object Object],[object Object]
Activity 19 ,[object Object],[object Object]
Activity 19 ,[object Object],[object Object],[object Object]
Kilolitres used Cost per kilolitre/2005 0-6 No cost 7-10 R1,41 11-30 R2,32 31-56 R3,95 57-80 R4,46 Above 80 R6,00 Kilolitres used Cost per kilolitre/2008 0-6 No cost 7-10 R1,95 11-30 R3,88 31-56 R6,23 57-80 R8,04 Above 80 R10,83
3.3 Using a formula to calculate a measurement Shape Formula for perimeter Triangle, trapezium and any other odd shape Add the length of the sides. If some lengths are not given, you will be able to calculate the distances from indirect measurements Square 4 times side length = 4l = 4s Rectangle 2 lengths + 2 breadths = 2l + 2b Circle 2    r
3.3 Using a formula to calculate a measurement 2-D shape2 Formula for area Rectangles l x b Parallelogram B x H Trapezium h/2 (P1 + P2) Triangle ½bh Circle  r 2
3.3 Using a formula to calculate a measurement 3-D object Formula for volume Rectangular solid length x breadth x height Cylinder  r 2h
Activity 20 ,[object Object],[object Object],[object Object],[object Object],40cm 142 mm 5726cm
Activity 20 ,[object Object],[object Object],[object Object],[object Object]
Activity 20 ,[object Object],[object Object],Pear juice: 0,11 m /s Tomato juice: 0,083 m/s
Activity 20 ,[object Object],[object Object],[object Object],[object Object],[object Object],3cm 26mm Measuring to millimetres 0,50 cm 0,5 mm
Activity 20 ,[object Object],[object Object],4,5m 0,5m
Activity 20 ,[object Object],[object Object],[object Object],Radius of 1,5 metres
Activity 20 ,[object Object],[object Object],[object Object],2  (1,5)(1,5 + 3,25) = 44.77m 2
Activity 21 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Activity 21 ,[object Object],[object Object],[object Object],318,310 79,577 35,368 19,894 12,732 8,842 6,496 4,974 3,930 3,183 2006,28 1025,13 723,21 600,52 577,08 559,53 593,59 652,12 731,12 828,32 6cm Radius (cm) 1 2 3 4 5 6 7 8 9 10 Height of can (cm) Tot ext surf area
 

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NCV 4 Mathematical Literacy Hands-On Support Slide Show - Module 1 Part 2

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  • 2. Units of measurement Measuring unit Medium Distance Metre (m) Area Square metre (m 2 ) Volume Cubic metre (m 3 ) Volume Litre
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  • 6. Trundling wheel kilometres millilitre Pipette millimetre Vernier caliper kilogram kilogram Bathroom scale grams Kitchen scale tons Nano metres Microscope Kilolitres Municipal water meter Millimetre Burette Years Calendar Minutes Clock Dimension to be measured Unit of measurement Measuring instrument Distance run on a marathon route Fluid measured to exact millimetre amount by sucking out of a container Internal diameter of a pipe Weight of blue marlin caught from a deep-sea fishing boat Mass of a person before and after going on a diet Mass of ingredients used to bake a cake Mass of a ship’s container Size of a virus through a microscope Amount of water used by a municipality during 24 hours Fluid measure in a laboratory by opening a small tap in a glass tube to add drop by drop to a mixture Time slept during a lifetime of 60 years Time necessary to boil water for sterilisation purposes
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  • 16. Time Distance Zero velocity Object at rest Constant Velocity
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  • 19. Conversion of speed units m.h -1 km.h -1 m.s -1 ft.s -1 m.h -1 1,6093 0,44704 1,4667 km.h -1 0,62137 0,27778 0,91134 m.s- 1 2.2369 3,6 3,2808 ft.s -1 0,68182 1,0973 0,3048
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  • 28. Kilolitres used Cost per kilolitre/2005 0-6 No cost 7-10 R1,41 11-30 R2,32 31-56 R3,95 57-80 R4,46 Above 80 R6,00 Kilolitres used Cost per kilolitre/2008 0-6 No cost 7-10 R1,95 11-30 R3,88 31-56 R6,23 57-80 R8,04 Above 80 R10,83
  • 29. 3.3 Using a formula to calculate a measurement Shape Formula for perimeter Triangle, trapezium and any other odd shape Add the length of the sides. If some lengths are not given, you will be able to calculate the distances from indirect measurements Square 4 times side length = 4l = 4s Rectangle 2 lengths + 2 breadths = 2l + 2b Circle 2  r
  • 30. 3.3 Using a formula to calculate a measurement 2-D shape2 Formula for area Rectangles l x b Parallelogram B x H Trapezium h/2 (P1 + P2) Triangle ½bh Circle  r 2
  • 31. 3.3 Using a formula to calculate a measurement 3-D object Formula for volume Rectangular solid length x breadth x height Cylinder  r 2h
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