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Nature of Science Metric System-International System of Units (SI)
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Learning Targets: Use appropriate tools and equipment for measuring
Use the metric system for measuring Use the “ladder method” and dimensional analysis to convert values between metric and English units
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Merci Beaucoup!!!
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The Metric System Standardized system of measurement used by all scientists worldwide. Based on units of 10 Similar to our monetary system: 10 cents = dime 100 cents = dollar 10 dimes = dollar
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Why use the SI System? In the U.S. we use the English or Standard System, most of the rest of the world uses the Metric or SI System. Scientists use the SI System worldwide because: Measurements are easily understood by all scientists Measurements are easier to convert than the English system The SI (International System of Units) system is the form of measurement typically used by scientists.
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In the English system you have to remember so many units numbers . . .
12 inches in a foot 3 feet in a yard 5,280 feet in a mile 16 ounces in a pound 4 quarts to a gallon In the SI System you only have to remember one number and a few basic units
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Basic Types of Measurement
Length: measures distance between objects Volume: measures the amount of space something takes up Mass: measures the amount of matter in an object Temperature: measures molecular movement in an object
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Measurement System Comparisons
BASIC UNIT ABBREVIATION LENGTH Meter m VOLUME Liter L TEMPERATURE Celsius °C MASS Gram g TIME Second s, sec All Measurement systems have standards. Standards are exact quantities that everyone agrees to use as a basis of comparison.
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1 Liter 1 Gram 1 Meter
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A Canook’s Rhyme Thirty's warm, twenty's nice; ten's cold, zero's ice
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Weight vs. Mass Measure of the force of gravity on an object
Measure of amount of matter in an object NOT affected by gravity
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Weight vs. Mass Weight and Mass are related, but NOT the same.
Weight can change depending on location Mass is constant regardless of location The greater the mass, the larger the pull of gravity. The larger the pull of gravity, the greater the weight
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Metric System Prefixes
Kilo 1000 Hecto 100 Deca 10 Base Unit g, m , L 1 Deci .1 1/10 Centi .01 1/100 Milli .001 1/1000 The Base Unit is the determined by the type of measurement being made. (mass, volume, or length) The same prefixes are used regardless of the the measurement type being made length, mass, or volume.
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Hecto Increase to Basic Unit Deca Basic Unit (g,m,L) Deci
Metric Prefixes Kilo Hecto Increase to Basic Unit Deca Basic Unit (g,m,L) Deci Centi Decrease to Basic Unit Milli
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µ - micro- one millionth
ex. Micrometer or micron n nano one billionth
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Abbrev. Word Meaning mm millimeter one thousandth meter cg kL cm mL mg km kg
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Abbrev. Word Meaning mm millimeter .001 meter (thousandth) cg centigram .01 gram (hundredth) kL kiloliter 1000 liters cm centimeter .01 meter (hundredth) mL milliliter .001 meter (thousandth) mg milligram .001 gram (thousandth) km kilometer 1000 meters kg kilogram 1000 grams
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“Ladder Method” Used for metric to metric conversions
Conversions are done by moving the decimal point. Larger to smaller unit: Move decimal point to the right Smaller to larger unit: Move decimal point to the left
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The Metric System is used for everyday life in most countries except the United States, Liberia and Myanmar
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Dimensional Analysis/ Factor Label Method
Method we will use to convert English – Metric units. When does this skill come in handy?
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Dimensional Analysis Determine the equality relationship between units
ex cm = 1 inch Write the relationship between the units as a fraction with the desired unit in the numerator (top) and the unit you have in the denominator (down). This is the conversion factor . 2. 54 cm Numerator 1 inch Denominator Multiply the value you have by the conversion factor - it’s like multiplying by one. 10 inches x cm 1 inch Cancel out the units , multiply, solve 10 inches x cm = cm
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Choosing Conversion Factors
How many feet are in 144 inches? Determine the relation between feet and inches 12 inches OR foot___ 1 foot inches Choose the conversion factor with the desired unit in the numerator
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Choosing Conversion Factors
How many feet are in 144 inches? Determine the relation between feet and inches 12 inches OR foot 1 foot inches Choose the conversion factor with the desired unit in the numerator
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Practice: Choose the appropriate conversion factor.
Inches to feet Minutes to hours Meters to centimeters
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Practice: Choose the appropriate conversion factor.
Inches to feet Minutes to hours Meters to centimeters
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Example #1 36 eggs = ? Dozen Determine equality 12 eggs = 1 dozen
Determine Conversion factor 12 eggs or dozen 1 dozen eggs
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Example #1 36 eggs = ? Dozen Determine equality 12 eggs = 1 dozen
Determine Conversion factor 12 eggs or dozen 1 dozen eggs
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Example #1 36 eggs = ? Dozen Conversion factor: 1 dozen 12 eggs
36 eggs x 1 dozen = x 1 dozen = 3 dozen 12 eggs
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Example #2 10 cm = ___?___ inches Choose conversion factor:
2.54 cm or inch__ 1 inch cm Although these are both equivalent, choose the one with the desired unit in the numerator (top)
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Example #2 10 cm x 1 inch__ = _________ 2.54 cm
10 cm x 1 inch__ = 10 x 1 inch = in 2.54 cm
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Convert 8 yards to feet… Determine the equality relationship between units Make a decision: What conversion factor will you use? Set up the problem: Multiply the measurement by the conversion factor. Solve the problem: Perform the multiplication
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Things to Remember All measurements need a number and a unit!
Basic units of Measurement (meter, liter, gram) Metric prefixes and values How to convert units
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Measurement Review Measurements need a number and a unit!
Basic units of Measurement (meter, liter, gram) and prefixes How to convert metric units Be able to make basic measurements of volume, length, and mass Definition of density and how to figure it out. Vocabulary words
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Metric Measurement: Length
Length is the distance between two points. Does not matter if it is width, height, depth, etc. All are length measurements. The basic unit of length in the SI System is the meter. The meter is about the length of the English yard (3 feet). Area is a variation of a length measurement. Area is length x width. Expressed in units2 (m2, cm2, mm2 etc.)
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Metric Measurement: Mass
Mass is a measurement of the amount of matter in an object. Basic unit of mass is the gram. There are 454 grams in one pound. Weight and mass are related, but NOT the same. Weight is the pull of gravity on an object The greater the mass, the larger the pull of gravity.
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(L)ength x (W)idth x (H)eight
Metric Measurement: Volume Volume is a measurement of the amount of space something takes up. The basic unit used for volume is the liter. This unit is used for the volumes of liquids. Volumes of solids are figured using this formula: (L)ength x (W)idth x (H)eight cm x cm x cm = cm3 Objects without a definite length, width or height (a rock for example), can use water displacement to determine volume NOTE: 1 ml = 1 cm3
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Metric Measurement: Temperature
Temperature is a measure of the kinetic energy of the atoms in an object. Temperature is measured with a thermometer and measured in Celsius or Kelvin. Celsius ranges from 0 (freezing) to 100 (boiling). The Kelvin scale begins at absolute zero, or 0 K. At 0 Kelvin no more heat can be removed from an object. To convert to Kelvin you add 273 degrees to the Celsius reading. Freezing in Kelvin is 273 K, boiling is 373 K.
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Which is heavier . . . The formula for density is:
Density is how much matter is in something (mass), compared to the amount of space it takes up (volume). Which is heavier . . . A kilogram of feathers or a kilogram of lead? They are both one kilogram so they weight the same, but it takes more feathers than lead to equal one kilogram! The formula for density is: Mass (grams) divided by Volume (cm3) So the unit for density is g / cm3 Every substance has a density, and that density always remains the same. Density can be used to figure out what an unknown substance is. The density of water is 1 g / cm3 Which one takes up more space (volume)? We say the lead is more dense than the feathers.
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