1. Understanding the Metric System

2. How Many Shoes?

4. Burma Liberia

5. Two systems commonly used for measuring: 1. U.S. Standard (Customary System) 2. Metric System (SI)

6. The unit of measurement for temperature is the degree. There are three scales used to measure temperature:  Fahrenheit scale  Celsius scale 0 F  Kelvin scale 0 C K U. S. Standard UnitsMetric Units unit - degrees scale - Fahrenheitscale - Celsius

7. U. S. Standard Units Metric Base Unit inches feet yards miles meter m

8. U. S. Standard Units Metric Base Unit ounces pounds tons gram g (weight)

9. U. S. Standard Units Metric Base Unit fluid ounces cups quart s gallons teaspoons tablespoons liquids:liter L solids:cubic meter m3m3 pints

10. PrefixSymbolMeaning kilo-1 000 hecto-100 deka-10 Base Unit1 deci-1/10 or 0.1 centi-1/100 or 0.01 milli-1/1000 or 0.001 k h dk m, g, L c m d Packet: page 2

11. Working with the Metric System kilo-hecto-deka- meter gram liter deci-centi-milli- 1 000100 101 0.10.010.001 Packet: page 3

12. Rule #1: All metric measurements are written using lower case letters except for liter. An upper case L is used for all liter measurements. Example: 35 mm not 35 MM and 35 mL not 35 ml 25 kg 36 ML 15 Cm 47 mL 59 km 63 kl 94 dg 86 MM 71 cg 9 ml Rule #2: Do not make the metric measurement plural by adding an –s. Example: 97 cm not 97 cms 1 m 10 Ls 15 kgs 20 ms 12 mm 32 km 125 cgs 67 mL 86 cm 75 gs Homework: Writing Metric Units

13. Rule #4: Leave a space between the number and the metric unit. Example: 15 km not 15km 554 km 420mL 39.5 mg 959.8L 5.57 cm Rule #5: Many times a space is used instead of a comma when writing large numbers. Try writing you’re your metric measurement using a space instead of a comma. Example: 1 000 km not 1,000 km 1 498 kg 9,532 mL 1,810 cm 2 674 cg 6,148 km Homework: Writing Metric Units 10.2 cm 420 cL. 50 mm 15 g. 4 L 3 mL 17 km. 889 dg. 1 600 m. 48.1 kL Rule #3: There are no periods written after metric measurements. Example: 36 mg not 36 mg.

14. Rule #7: Remove any unnecessary zeros AFTER a decimal point. Examples: 23 cm not 23.000 cm 6.9 mL not 6.90 mL 4.80 cm 7.5 kg 120 mL 19.00 dg 0.390 km 8.1 cm0.9 km5.63 m0.51 mg6.4 mm Homework: Writing Metric Units Rule #6: If there is no whole number before the decimal point, ALWAYS place a zero before the decimal point. Example: 0.75 cm not.75 cm 1.5 cm 397 kg.7 mL 0.143 dg.253 km

15. Converting in the Metric System

17. $5.00 50 dimes 500 pennies

18. kilo- hecto- deka- Base Unit deci- centi- milli- Move the decimal to the left. Move the decimal to the right.

19. kilo- hecto- deka- BASE deci- centi- milli- 1. 3 m = _______ cm 2 nd : Determine your starting point 3 rd : Determine your ending point 4 th : Count the number of steps 1 2 5 th : Move the decimal point the same number of jumps in the same direction 1 st : Rewrite the number adding a decimal point 3. 300

20. kilo- hecto- deka- BASE deci- centi- milli- 2. 19 g = __________ mg 2 nd : Determine your starting point 3 rd : Determine your ending point 4 th : Count the number of steps 1 2 5 th : Move the decimal point the same number of jumps in the same direction 1 st : Rewrite the number adding a decimal point 19. 19 000 3

21. kilo- hecto- deka- BASE deci- centi- milli- 3. 3.9 km = _______ m 2 nd : Determine your starting point 3 rd : Determine your ending point 4 th : Count the number of steps 1 2 5 th : Move the decimal point the same number of jumps in the same direction 1 st : Rewrite the number with the decimal point 3.9 3 900 3

22. kilo- hecto- deka- BASE deci- centi- milli- 4. 9 000 mm = _______ m 2 nd : Determine your starting point 3 rd : Determine your ending point 4 th : Count the number of steps 1 2 5 th : Move the decimal point the same number of jumps in the same direction 1 st : Rewrite the number adding a decimal point 9 3 9 000.

23. kilo- hecto- deka- BASE deci- centi- milli- 5. 500 mg = _______ g 2 nd : Determine your starting point 3 rd : Determine your ending point 4 th : Count the number of steps 1 2 5 th : Move the decimal point the same number of jumps in the same direction 1 st : Rewrite the number adding a decimal point 500. 0.5 3

24. kilo- hecto- deka- BASE deci- centi- milli- 5. 19 m = _______ km 2 nd : Determine your starting point 3 rd : Determine your ending point 4 th : Count the number of steps 1 2 5 th : Move the decimal point the same number of jumps in the same direction 1 st : Rewrite the number adding a decimal point 19. 0.019 3

25. Base Unit deka- deci- centi- milli- hecto- kilo-

26. Conversion Practice 1. 1 000 mg = _____ g2. 1 L = _____ mL 3. 160 cm = _____ mm4. 14 km = _______ m 5. 109 g = _____ kg6. 250 m = _____ km 7. 3 mm = _______ cm8. 4 mL = _______ L 9. 98 cg = _______ g 10. 6cL = _______ L 11 000 1 60014 000 0.1090.25 Packet: page 10 0.30.004 0.980.06

27. 1) 3 km = __________ m 2) 7 000 m = __________ km 3) 30 mm = __________ cm 4) 1100 cm = __________ m 5) 5 cm = __________ mm 6) 4 000 g = __________ kg 7) 9 kg = __________ g 8) 90 mg = __________ cg 9) 6 g = __________ mg 10) 10 000 mL = __________ L 11) 2 L = __________ kL 12) 150 mm = __________ cm 13) 3 kg = __________ g 14) 5.5 cm = __________ mm 15) 6.7 km = __________ m 16) 2.5 L = __________ mL 17) 0.25 L = __________ mL 3 000 7 3 11 50 4 9 000 9 6 000 15 0.002 3 000 10 250 55 2 500 6 700

28. Conversion Challenge 1. kilogram _____ 4. milliliter _____ 7. kilometer _____ 2. meter _____ 5. millimeter _____ 8. centimeter _____ 3. gram _____ 6. liter _____ 9. milligram _____ kgmLkm mmmcm gLmg Packet page 11

29. 1)2 000 mg = _____ g 6) 5 L = _____ mL 11) 16 cm = _____ mm 2)104 km = _______m 7) 198 g = _____ kg 12) 2 500 m = _____ km 3)480 cm = _____ m 8) 75 mL = _____ L 13) 65 g = ________ mg 4)5.6 kg = _____ g 9) 50 cm = _____ m 14) 6.3 cm = _____ mm 5)8 mm = _____ cm 10) 5.6 = _____ cm 15) 120 mg = _____ g 25 000160 104 0000.1982.5 4.80.07565 000 5 6000.563 0.85600.12 Packet page 11

31. Measuring with the Metric System

32. Temperature -the measure of how hot or cold something is Instrument -thermometer Metric unit of measurement -degrees Celsius 0 C

33. Comparing Temperature Scales

34. Units of Temperature Fahrenheit scale 0 F Celsius scale commonly used by scientists water boils at 100 0 C 0 K coldest temperature – absolute 0 official SI unit Kelvin scale water freezes at 0 0 C U. S. standard system

35. http://www.echalk.co.uk/maths/dfes_numeracy/Assets/thermometer_flash.swf http://www.mathsisfun.com/measure/thermometer.html

37. Mass :the measure of the amount of matter in an object Instrument used:triple-beam balance Metric unit of measurement:gram g

38. Balances are used to measure mass. Scales are used to measure weight. Different weights

39. Mass Definition the measure of the amount of matter in an object Characteristics measured in g and kg; measured with a balance Examples paper clip = 1 g baseball bat = 1 kg 1 kg = 1 000 g Nonexamples weight-a force measured with a scale

40. triple-beam balance measuring mass with a triple beam balance triple beam balance

41. Length:the distance between two points Instrument used:metric ruler meter stick Metric unit of measurement:meter m

42. Definition – the distance between two points Length Units of Length Measuring Length basic unit - meter smaller measurements: cm, mm larger measurement: km divided into cm and mm 1 cm = 10 mm metric ruler meter stick

43. You are 1.8 m tall, so that makes you 180 cm or 1 800 mm tall.

46. Using a Metric Ruler What’s my Length?

47. The metric unit of measurement for length is the meter. Length – the distance between two points

48. Definition:The amount of space an object occupies

49. Instruments used: beaker graduated cylinder Metric unit of measurement:liter L

50. Measuring Volume: Outline I. Volume II.Volume of Liquids a. Equipment Used: b. Unit of Measurement: a. Definition: the amount of space an object takes up (or occupies) graduated cylinder, beaker liter (L) milliliter (mL)

52. The graduated cylinder is marked off in equal units of volume. The volume of the liquid Is 7 mL.

53. 53 mL meniscus Measuring Liquid Volume

54. Regularly shaped Instrument used: metric ruler L x W x H Metric unit of measurement:cm 3

55. Regularly shaped Instrument used:metric ruler Formula: V = L x W x H Metric unit of measurement:cm 3 Irregularly shaped Method used: water displacement Metric unit of measurement: cm 3

56. Each cube is 1 cm on each side.

57. Volume Of Solids 10cm 3cm 4cm L = W = H =

58. 5, 4, 3 4, 3, 2 8, 2, 3 10 cm 5 cm 2 cm

59. III.Volume of Regular Solids a. Formula: b. Label: c. 1 cm 3 = IV.Volume of Irregular Solids a. Method Used: V = L x W x H cm 3 1 mL water displacement

60. Irregularly shaped Method used:water displacement Metric unit of measurement:cm 3

61. xxxxxxxxxx x

62. Water Displacement Method AB Step 1: Add water to a graduated cylinder and record the amount. Step 2: Place the object into the graduated cylinder. Step 3: Record the volume of the water with the object. Step 4: Find the difference in water volume by subtracting. Step 5: Convert the liquid volume measurement (mL) to the measurement for solid volume (cm 3 ). *** Remember: 1 mL = 1 cm 3

63. Volume of water in graduated cylinder A = 200 mL Volume of water in graduated cylinder B =270 mL AB Difference in water:270 mL - 200 mL = 70 mL Volume of rock: 70 mL = 70 cm 3

64. Volume of water without object: Volume of water with object: Difference in water volume: _____ _____ Volume of object _____ mL = _____ cm 3 32 mL 38 mL 32 mL 38 mL 6 mL 66 Volume of water without object: Volume of water with object: Difference in water volume: _____ _____ Volume of object _____ mL = _____ cm 3

65. Volume of water without object: Volume of water with object: Difference in water volume: _____ _____ Volume of object _____ mL = _____ cm 3 65 mL 69 mL 65 mL 69 mL 4 mL 44 Volume of water without object: Volume of water with object: Difference in water volume: _____ _____ Volume of object _____ mL = _____ cm 3 46 mL 54 mL 46 mL 8 mL 88

66. Volume of water without object: Volume of water with object: Difference in water volume: _____ _____ Volume of object _____ mL = _____ cm 3 50 mL 52 mL 50 mL 52 mL 2 mL 22

67. volume volume – the amount of space an object takes up liquids are measured in mL or l graduated cylinders and beakers are used to measure liquids solids are measured in cm 3 V = L x W x H - regular-shaped solid water displacement method - irregular-shaped solids

68. Definition:the measure of how much mass is contained in a given volume of space Formula:D = mass volume Units of Measurement: g/cm g/mL

69. If objects are the same size they will have the same density. Different materials have different densities. Density is made up of two other measurements – mass and volume. true The density of a substance like gold is always different. The density of a substance is the same for all samples of the substance. The density of water is 1 g/mL. true An object will float if it is more dense than the surrounding liquid. An object will float if it is less dense than the surrounding liquid.

70. gold = 19.3 g/cm 3 8 cm 3 of gold = 154.4 g water = 1 g/mL wood = 0.5 g/cm 3 8 mL of water = 8 g8 cm 3 of wood = 4 g

71. 100 g of water 100 mL 100 g of wood 5.2 cm 3 200 cm 3 100 g of gold

73. mass = 18 g volume = 20 cm 3 density = 0.9 g/cm 3

74. Density Lab

75. definition: the measure of how much mass is contained in a given volume of space Made up of two measurements: mass and volume density = mass volume density of a solid g/cm 3 density of a liquid g/mL density

76. Temperature Mass Length The measure of how hot or cold something is. 0C0C thermometer The measure of the amount of matter in an object. g grams balance The distance between two points. m meter cm, mm metric ruler meter stick

77. Volume: liquid Volume: solid Density The amount of space an object takes up graduated cylinder, beaker Regular-shaped cm 3 L x W x H Irregular-shapedcm 3 water displacement L liter mL The measure of how much mass is contained in a given volume of space. g/cm 3 g/mL density = mass volume

80. 19 g = _______ mg 1. Locate grams on the steps. 2. Move three steps to the right to get to milligrams. 3. Move the decimal point three places to the right adding zeros as needed. 19.190.1900. 19 000 19000.

81. 3.9 km = _____ m 1. Locate kilometers on the steps. 2. Move three steps to the right to get to meters. 3. Move the decimal point three places to the right adding zeros as needed. 3.939.390. 3 900 3900.

82. 9 000 mm = _____ m 1. Locate millimeters on the steps. 2. Move three steps to the left to get to meters. 3. Move the decimal point three places to the left adding zeros as needed. 9 000.900.090.00 9.000 9

83. 500 mg = _____ g 1. Locate milligrams on the steps. 2. Move three steps to the left to get to grams. 3. Move the decimal point three places to the left adding zeros as needed. 500.50.05.00.500 0.5

84. 19 m = _____ km 1. Locate meters on the steps. 2. Move three steps to the left to get to kilometers. 3. Move the decimal point three places to the left adding zeros as needed. 19.1.9.19.019 0.019