Select and use standard metric units of measure and convert between units using decimals to two places for example change 275 litres to 2750 ml or vice versa Read and interpret scales on a range of measuring instruments ID: 1042441
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1. Class: 5Subject: Mathematics (part 1)Select and use standard metric units of measure and convert between units using decimals to two places (for example change 2.75 litres to 2750 ml, or vice versa). Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and recording results to a required degree of accuracy; compare readings on different scales, for example when using different instrumentsPage Numbers: 34 - 44 Grace Academy, DimapurCreated by: Ratnadeep ChatterjeeMathematics Teacher, Grace Academy, Dimapur
2. Conversion of Metric Units
3. The Metric SystemThe International Metric System was developed and introduced in Europe in the times of NapoleonIt is based on the decimal numbering systemConversion factors are always powers of 10 (i.e. larger units are 10, 100, 1000 of the base unit and smaller units are 1/10, 1/100, 1/1000 of the base unit)
4. The seven column tableThis table and 3 simple rules will be the key to converting between units successfullyThe middle column, with red borders, will hold the basic unit, metre (m), litre (l) or gram (g)Larger units such as kilometre (km) or kilogram (kg) will go to the left and smaller subunits such as centimetre (cm), millimetre (mm), centilitre (cl), millilitre (ml) or milligram (mg) will go to the right
5. Metric Units - DistancemThe base unit for measuring distance is the metre (m)We use metres to measure:The height of a doorThe length of a corridorThe length and width of a room
6. Metric Units - DistancekmmWe use kilometres (km) for longer distances, such as:The distance between cities (for example, between Madrid and Barcelona, or Manchester and Leeds)The distance to the next services on the motorwayThe distance from the Earth to the moon (400 000 km)
7. Metric Units - DistancekmmmmWe use millimetres (mm) for very small things:The thickness of a coinThe diameter of a screw
8. Metric Units - DistancekmmcmmmWe use centimetres (cm) for things like:The width or depth of a washing machineThe height of a tableThe width of a shelf
9. Metric Units - Distancekmmcmmm There are other units in the empty columns, but we rarely see or use their names.
10. Check point 1How many columns do you need for the Metric Unit Conversion Table?In the Metric System …What is the basic unit for distance?What other metric units for distance do you remember?Can you place them in the table?
11. Using the 7 column tableIn the next few slides we are going to see how to use this table to convert between m, km, mm and cm.We will start by writing the original measurement on the table Then we will see how to convert into the desired unit
12. Convert 32 cm into mm STEP 1 - Write the original measurement into the tablekmmcmmmcm2323
13. Convert 32 cm into mm STEP 2 – Put the decimal point to the right of the target unitkmmcmmmcm2323mm= .
14. Convert 32 cm into mm STEP 3 – Fill in with 0s as requiredkmmcmmmcm2323mm= 0 .320
15. Examples - STEP 1Write on the table:kmmcmmm5 m3 km27 mm512 cm5372521
16. Examples - STEP 2Place the decimal point:kmmcmmm5 m3 km27 mm512 cm5372521====kmmcmm . . . .
17. Examples - STEP 3Fill any gaps with 0s:kmmcmmm5 m3 km27 mm512 cm5372521====kmmcmm . . . .0000000.0053 000 2.7 5.12
18. Check point 2Draw the table and the column headings for distanceUse the table to convert the following numbers into cm:350 m 78 mm 5 km 3 mm
19. Metric Units - WeightgThe base unit for measuring weight is the gram (g)A sugar cube weighs a few gramsWe use grams to weigh sliced ham (200 g)
20. Metric Units - WeightkggA more familiar unit for weight is the kilogram (kg):A bag of sugar weighs 1 kgA normal wash-load is 1.5 kgMy weight is about 81 kg
21. Metric Units - WeightkggmgWe use milligrams (mg) for very small things:The amount of paracetamol in a tablet
22. Metric Units - CapacitylThe base unit for measuring distance is the litre (l)A large bottle of Coke contains 2 l:The petrol tank of an average car holds 40 l
23. Metric Units - CapacitykllKilolitres (kl) are rarely used in everyday lifeThe capacity of a swimming pool could be measured in kl but is more commonly measured in thousands of litres instead
24. Metric Units - CapacitykllmlA teaspoon is about 5 mlA can of coke is bout 330 ml
25. Metric Units - CapacitykllclmlA bottle of wine is 75 clA drinking cup (paper) is about 20 cl
26. Metric Units - Summarykmmcmmmkggmglclml
27. Conversion of Metric UnitsHarder examples
28. Convert 3.2 kg into g STEP 1 - Write the original measurement into the tablekggmgkg2323..
29. Convert 3.2 kg into g STEP 2 – Put the decimal point to the right of the target unitkggmgkg2323..g=
30. Convert 3.2 kg into g STEP 3 – Fill any gaps with 0skggmgkg2323..g=003 200
31. Check point 3In the Metric System…What is the base unit for weight?What other weight units can you remember?What is the base unit for capacity?What other units of capacity can you remember?
32. Harder examples - STEP 1Write on the table:kmkgmglcmclmmmg ml0.5 m3.5 kg2.7 cl51.2 m53725210..5..
33. Harder examples - STEP 2Move the decimal point:kmkgmglcmclmmmg ml0.5 m3.5 kg2.7 cl51.2 m53725210..5..====cmmgmlkm
34. Harder examples - STEP 3Fill any gaps with 0s:kmkgmglcmclmmmg ml0.5 m3.5 kg2.7 cl51.2 m53725210..5..====cmmgmlkm0503 500 0000000027000.0512
35. Check point 4 Use the conversion table to answer these questions:How many cm in 1 m?How many cl in 2 l?How many g in 1kg?1m is the same as _________ km1mg is the same as __________ g
36. IntroductionWhat would you use to measure a pencil?
37. IntroductionWhat would you use to measure a pencil?A ruler or a tape measure.
38. IntroductionPut these measurements in order of length, shortest to longest. 15 metres60 centimetres100 millimetres3 metres
39. IntroductionPut these measurements in order of length, shortest to longest. 100 millimetres60 centimetres3 metres15 metres
40. How long are these objects in centimetres? A.B.
41. How long are these objects in centimetres? A.B.6cm5cm
42. Matthew draws a 2cm line. He starts at the arrow. What number will he finish at?
43. Matthew draws a 2cm line. He starts at the arrow. What number will he finish at?6cm
44. True or false?This Base Ten is 8cm long.
45. True or false?This Base Ten is 8cm long.False. It is 6cm long.
46. Match the measurement to the object. 5cm4cm3cm
47. Match the measurement to the object. 5cm4cm3cm5cm4cm3cm
48. Measure each line.A.B.C.D.
49. Measure each line.A.B.C.D.Answers will vary depending on equipment used.
50. Cruise shipscissorsbee15cm10mm250mImagine these objects are their usual size and match them to the most suitable length measurement.
51. Cruise Shipscissorsbee15cm10mm250mImagine these objects are their usual size and match them to the most suitable length measurement.
52. 0102030405060708090True or false? The length of the sweet is 50mm.Not to Scale
53. 0102030405060708090True or false? The length of the sweet is 50mm.False, the length of the sweet is 40mm.Not to Scale
54. Complete the sentences below.The line iscm andmm long.The line ismm long.
55. Complete the sentences below.Answers will vary depending on equipment used.The line iscm andmm long.The line ismm long.
56. Which is the odd one out? A.B.C.
57. Which is the odd one out?B is the odd one out because… A.B.C.
58. Which is the odd one out?B is the odd one out because it is 4cm. The other two are 5cm long. A.B.C.
59. James and Laura are measuring the length of a train. James says, Laura says, Who is correct? Explain your answer. The train is 5cm long.The train is 6cm long.
60. James and Laura are measuring the length of a train. James says, Laura says, Who is correct? Explain your answer. Laura is correct because… The train is 5cm long.The train is 6cm long.
61. James and Laura are measuring the length of a train. James says, Laura says, Who is correct? Explain your answer. Laura is correct because she has taken into account that the object is measured from 1cm and not 0cm. The train is 5cm long.The train is 6cm long.
62. George’s flag measures between 7cm and 12cm in length. What are the possible lengths his flag could be?
63. George’s flag measures between 7cm and 12cm in length. What are the possible lengths his flag could be?Various answers, for example: 8cm, 9cm, 10cm and 11cm.
64. This bag is 20cm and 5mm long.Find 3 objects in your classroom that are shorter than the bag.Write the measurements of the objects carefully in cm and the nearest 5mm.Not to Scale
65. This bag is 20cm and 5mm long.Find 3 objects in your classroom that are shorter than the bag.Write the measurements of the objects carefully in cm and the nearest 5mm.Various possible answers, including: pen, pencil, scissors. Ensure measurements are recorded accurately.Not to Scale
66. I think you would use centimetres to measure the length of a book. I think you would use metres to measure the length of a book. I think you would use millimetres to measure the length of a book. KellyAliceSamThe children are talking about units of measure. Who do you agree with? Explain why.
67. I think you would use centimetres to measure the length of a book. I think you would use metres to measure the length of a book. I think you would use millimetres to measure the length of a book. KellyAliceSamThe children are talking about units of measure. Who do you agree with? Explain why.I agree with Sam because…
68. I think you would use centimetres to measure the length of a book. I think you would use metres to measure the length of a book. I think you would use millimetres to measure the length of a book. KellyAliceSamThe children are talking about units of measure. Who do you agree with? Explain why.I agree with Sam because a book is much bigger than 1cm but much smaller than 100cm. It would take much longer to work out its length in mm or m.
69. Greg has measured the gift box. He thinks it is 35cm long.Is he correct? Convince me.Not to Scale
70. Greg has measured the gift box. He thinks it is 35cm long.Is he correct? Convince me.Greg is not correct because he has used the wrong unit of measure. The gift box is 35mm or 3cm and 5mm long.Not to Scale