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The Metric System. “We are making miles and miles of progress toward the metric system” Gerald Ford. To begin at the beginning…. Thomas Jefferson was intrigued by the metric system and strongly advocated the use of decimal-based measures But he only got half of what he wanted.

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the metric system
The Metric SystemThe Metric System

“We are making miles and miles of progress toward the metric system”Gerald Ford

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Thomas Jefferson was intrigued by the metric system and strongly advocated the use of decimal-based measuresBut he only got half of whathe wanted...

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fractions of an inch...12 inches to a foot….3 feet to a yard…. 5.5 yards to a rod...320 rods to a mile... 43,560 sq ft to an acre...

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16 ounces to a pound...12 ounces to a pound...(troy)4 quarts to a gallon...3 teaspoons to a tablespoon…

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While the U.S. continues usinginch-poundmeasures,almost all the other countries has adopted theMETRIC SYSTEMExceptions: Liberia and Myanmar

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We buy cola in liters...We by film in millimeters...We run 10 km races...(in fact, all U.S. track andfield events are in metric units)We swim in 25 meter pools...We watch metric Olympics...

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The entire U.S.automobile industry is metric...All pharmaceuticals are metric...as is the entire health care industry
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Also metric:The liquor industryMost farm machinery and heavy equipmentThe machine tool industryMost electronicsAllmedicine and science

si base units of measurement
The Metric SystemSI Base Units of Measurement
  • Mass
    • the gram; g
      • 1 gram ≈ 1/28 ounce
  • Length
    • the meter; m
      • 1 meter ≈ 1.094 yard
  • Volume
    • the liter; l
      • defined as 1000 cubic centimeters
      • 1 liter ≈ 1.057 quart
metric prefixes
The Metric System

giga-, G

x10+9, or billions

mega-, M

x10+6, or millions

kilo-, k

x10+3, or thousands

centi-, c

x10-2, or hundredths

milli-, m

x10-3, or thousandths

micro-, µ

x10-6, or millionths

nano-, n

x10-9, or billionths

pico-, p

x10-12, or trillionths

Metric Prefixes
converting between metric units using unit factor analysis
The Metric SystemConverting Between Metric Units Using Unit Factor Analysis
  • Multiply the unit to be converted by a conversion factor that relates the given unit of measure to the desired unit of measure.
    • You essentially are multiplying by one since the value above the fraction line is equal to the value below the fraction line.
  • Place the value with the GIVEN unit of measure BELOW the line, and an equivalent value for the DESIRED unit of measure ABOVE the line. Then you can cancel out the given units above and below the line, leaving only the desired units.
thinking in metric units of length
The Metric System

1 kilometer

~5/8 mile

1 meter

1.09 yard=

1 centimeter

~4/10 inch

1 mile

~1.6 km

1 yard

~0.91 m

1 foot

~30.5 cm

1 inch

2.54 cm or ~25 mm

Thinking in Metric Units of Length

Some students won’t know which edge of the ruler to use.

thinking in metric units of volume
The Metric System

1 liter

~1.06 quart

1 milliliter

1 cubic cm (1cc)

~"a thimble full"

Examples

1 teaspoon ≈ 5ml

12 oz. soda ≈ 360 ml

2-liter bottle of soda

1 gallon

~3.8 l

1 quart

~0.95 l

1 fluid ounce

~30 ml

Thinking in Metric Units of Volume

2 liters

~1/2 gal.

thinking in metric units of mass
The Metric System

1 kilogram

2.2 pounds

1 gram

~"a thimble full" of water

Examples

70 kg human = 154 lbs.

1 ml of water weighs ~1 g

1 pound

454 g

1 ounce

~28 g

Thinking in Metric Units of Mass
estimate
The Metric SystemEstimate
  • The length of:
    • your bare foot
    • your height
  • The volume of:
    • a coffee cup
    • a water bottle
  • The mass of:
    • you
    • a dog
    • your pen
celsius the metric temperature scale
The Metric SystemCelsius: The Metric Temperature Scale
  • Also called the centigrade scale.
  • Definitions
    • 0° Celsius = 32° Fahrenheit = water freezes
    • 100° Celsius = 212° Fahrenheit = water boils
    • Therefore, 1°C = 1.8° F
  • Conversions
    • °Celsius = 5/9 x (°Fahrenheit - 32°)
    • °Fahrenheit = (9/5 x ° Celsius) + 32°

100C

212F

0C

32F

What is 120° F in C?

thinking in celsius
The Metric SystemThinking in Celsius
  • -10° Celsius = frigid (14° F)
  • 0° Celsius = cold (32° F)
  • 10° Celsius = cool (50° F)
  • 20° Celsius = comfortably warm (68° F)
  • 30° Celsius = hot (86° F)
  • 40° Celsius = very hot (104° F)
  • 49°Celsius= Phoenix Hot (120°F)
  • What would you wear outside in temperatures of -10°C, 0°C, 10°C, 20°C, 30°C?