system is the form of measurement 1/10

advertisement

Nature of Science

Metric System-

International

System of Units

(SI)

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

Merci Beaucoup!!!

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

Why use the SI System?

In the U.S. we use the

Metric or SI System.

Measurements are easily understood by all scientists

Measurements are easier to convert than the scientists.

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 - 10 and a few basic units

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

Measurement System Comparisons

MEASUREMENT

LENGTH

VOLUME

TEMPERATURE

MASS

TIME

BASIC UNIT

Meter

Liter

Celsius

Gram

Second

ABBREVIATION m

L

°C g s, sec

All Measurement systems have standards.

Standards are exact quantities that everyone agrees to use as a basis of comparison.

1 Gram

1 Liter

1 Meter

A Canook’s Rhyme

Thirty's warm, twenty's nice; ten's cold, zero's ice

Weight vs. Mass

Measure of the force of gravity on an object

Measure of amount of matter in an object

NOT affected by gravity

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

Kilo

Hecto

Deca

Base Unit g, m , L

Deci

Centi

Milli

1000

100

10

1

Metric System Prefixes

.1

1/10

.01

1/100

.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.

Metric Prefixes

Kilo

Hecto Increase to Basic Unit

Deca

Basic Unit (g,m,L)

Deci

Centi Decrease to Basic Unit

Milli

µ -

 nmicroone millionth ex. Micrometer or micron nanoone billionth

Abbrev. Word Meaning mm millimeter one thousandth meter cg kL cm mL mg km kg

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

“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

The Metric System is used for everyday life in most countries except the

United States, Liberia and Myanmar

Dimensional Analysis/

Factor Label Method

Method we will use to convert English Metric units.

When does this skill come in handy?

Dimensional Analysis

• Determine the equality relationship between units ex. 2.54 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 2.54 cm

1 inch

• Cancel out the units , multiply, solve

10 inches x 2.54 cm = 25.40 cm

1 inch

Choosing Conversion Factors

• How many feet are in 144 inches?

• Determine the relation between feet and inches

12 inches OR 1 foot___

1 foot 12 inches

• Choose the conversion factor with the desired unit in the numerator

Choosing Conversion Factors

• How many feet are in 144 inches?

• Determine the relation between feet and inches

12 inches OR 1 foot

1 foot 12 inches

• Choose the conversion factor with the desired unit in the numerator

Practice: Choose the appropriate conversion factor.

Inches to feet

Minutes to hours

1 ft

12 in.

60 min

1 hr

12 in.

1 ft

1 hr

60 min

Meters to centimeters 1 m

100 cm

100 cm

1 m

Practice: Choose the appropriate conversion factor.

Inches to feet

Minutes to hours

1 ft

12 in.

60 min

1 hr

12 in.

1 ft

1 hr

60 min

Meters to centimeters 1 m

100 cm

100 cm

1 m

Example #1

• 36 eggs = ? Dozen

• Determine equality

12 eggs = 1 dozen

• Determine Conversion factor

12 eggs or 1 dozen

1 dozen 12 eggs

Example #1

• 36 eggs = ? Dozen

• Determine equality

12 eggs = 1 dozen

• Determine Conversion factor

12 eggs or 1 dozen

1 dozen 12 eggs

Example #1

• 36 eggs = ? Dozen

• Conversion factor: 1 dozen

12 eggs

• 36 eggs x 1 dozen = 36 x 1 dozen = 3 dozen

12 eggs 12

Example #2

• 10 cm = ___?___ inches

• Choose conversion factor:

2.54 cm or 1 inch__

1 inch 2.54 cm

Although these are both equivalent, choose the one with the desired unit in the numerator (top)

Example #2

• 10 cm x 1 inch__ = _________

2.54 cm

10 cm x 1 inch__ = 10 x 1 inch = 3.93 in

2.54 cm 2.54

Convert 8 yards to feet…

1. Determine the equality relationship between units

3 ft 1 yd

or

1 yd 3 ft

2. Make a decision : What conversion factor will you use?

8 yards

1

Set up the problem : Multiply the measurement by the conversion factor.

8 yd

3 ft

1 yd

Solve the problem : Perform the multiplication

8 yd

3 ft

1 yd

8 yd

1

3 ft

1 yd

24 ft

1

24 ft

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

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

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 units 2 (m 2 , cm 2 , mm 2 etc.)

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.

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 = cm 3

 Objects without a definite length, width or height (a rock for example), can use water displacement to determine volume.

NOTE: 1 ml = 1 cm 3

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.

Density is how much matter is in

Which is heavier . . .

amount of space it takes up (volume).

lead to equal one kilogram!

The formula for density is:

Mass (grams) divided by Volume (cm 3 )

So the unit for density is g / cm 3

Every substance has a density, and that density always remains the same.

Which one takes up more space (volume)?

We say the lead is more dense than the feathers.

The density of water is 1 g / cm 3

Download