measurement ppt

MEASUREMENT( Elementary Algebra )

How large is a millimeter?

The widthThe widthof a pinof a pin

How large is a centimeter?

The widthThe widthof the topof the top

of your of your fingerfinger

How large is a meter?

About the About the widthwidth

of one & of one & 1/2 doors1/2 doors

1 meter1 meter

How large is a kilometer?

A little A little overover

1/2 of a1/2 of amilemile

1 kilometer1 kilometer

WhitmoreWhitmore

WalterWalterWhiteWhite

How large is a milliliter?

About aAbout adrop ofdrop ofliquidliquid

How large is a liter?

Half of aHalf of alarge poplarge pop

bottlebottle 11literliter

How heavy is a gram?

A paper A paper clipclip

weighsweighsabout 1about 1gramgram

How heavy is a kilogram?

A kittenA kittenweighsweighsabout 1about 1kilogramkilogram

How long is an inch?

A quarterA quarteris aboutis aboutan inchan inch

widewide1 inch1 inch

How long is a foot?

About theAbout thelength oflength of

a a clipboardclipboard

1 foot1 foot

How long is a yard?How long is a yard?

About theAbout thewidth ofwidth ofa doora door

1 yard1 yard

How long is a mile?

Four Four timestimes

around aaround atracktrack

Joanne Smithies Our Lady & St. Gerards RCP

We use different metric units to measure :-

We can use our knowledge of multiplying and dividing by 10, 100 or 1000 to change or convert measurements in one unit to measurements in

another unit.

We are going to use our knowledge We are going to use our knowledge about multiplying and dividing by 100 about multiplying and dividing by 100 to convert centimetres to metres and to convert centimetres to metres and

to convert metres to centimetres.to convert metres to centimetres.

There are 100 centimetres in 1 metreWhen we change from cm to m we divide by:-

Remember!When we divide by 100 the units move two places to the right.

H T U th hth th

4 2 7 0 0 0 ÷100

This is how we change 427cm into metres:-



H T U th hth th

4 2 7 0 0 ÷100




H T U th hth th

4 2 7 0 ÷100


Therefore:-Therefore:-

427cm = 4.27m427cm = 4.27mH T U t h th

3 2 6

H T U t h th

3 2 6

H T U t h th

4 7 6

H T U t h th

1 6 5 3

H T U t h th

0 4 7 6

H T U t h th

1 6 5 3

÷100÷100

÷100÷100

÷100÷100

cmcm mm

354cm354cm

15.4cm15.4cm

779cm779cm

52.4cm52.4cm

939cm939cm

395cm395cm

25.8cm25.8cm

3.54m3.54m

0.154m0.154m

7.79m7.79m

0.524m0.524m

9.39m9.39m

3.95m3.95m

0.258m0.258m

÷10÷1000

Convert from centimetres to metresConvert from centimetres to metres

To change from metres to centimetres To change from metres to centimetres we MULTIPLY BY 100.we MULTIPLY BY 100.

REMEMBERREMEMBER

When we multiply by 100 we move When we multiply by 100 we move each digit two places to the left:-each digit two places to the left:-

H T U t h th

3 5 1

3.51m = 3.51m =

To change from metres to centimetres To change from metres to centimetres we MULTIPLY BY 100.we MULTIPLY BY 100.

REMEMBERREMEMBER

When we multiply by 100 we move When we multiply by 100 we move each digit two places to the left:-each digit two places to the left:-

H T U t h th

3 5 1

3.51m = 3.51m = 351cm351cm

5.4m5.4m

6.2m6.2m

12.7m12.7m

3m3m

7.6m7.6m

0.54m0.54m

0.3m0.3m

540cm540cm

620cm620cm

1270cm1270cm

300cm300cm

760cm760cm

54cm54cm

30cm30cm

x100x100

Try changing these measurements in metres into Try changing these measurements in metres into centimetrescentimetres

MEASUREMENT OF LENGTH

English vs. Metric UnitsEnglish vs. Metric Units

Which is longer? Which is longer?

A. 1 mile or 1 kilometerA. 1 mile or 1 kilometer

B. 1 yard or 1 meterB. 1 yard or 1 meter

C. 1 inch or 1 centimeterC. 1 inch or 1 centimeter

1.6 1.6 kilometerskilometers

1 1 milemile

1 yard = 0.9444 1 yard = 0.9444 metersmeters

1 inch = 2.54 1 inch = 2.54 centimeterscentimeters

Metric UnitsMetric Units

The basic unit of length in the metric system in the The basic unit of length in the metric system in the metermeter and is represented by and is represented by a lowercase a lowercase mm..

Standard: The Standard: The distancedistance traveled by traveled by lightlight in absolute vacuum in 1⁄299,792,458 of in absolute vacuum in 1⁄299,792,458 of a second.a second.


1 Kilometer (km) = 1000 meters1 Kilometer (km) = 1000 meters

1 Meter = 100 Centimeters (cm) 1 Meter = 100 Centimeters (cm)

1 Meter = 1000 Millimeters (mm)1 Meter = 1000 Millimeters (mm)

Which is larger?Which is larger?

A. 1 meter or 105 centimetersA. 1 meter or 105 centimeters

B. 4 kilometers or 4400 metersB. 4 kilometers or 4400 meters

C. 12 centimeters or 102 millimetersC. 12 centimeters or 102 millimeters

D. 1200 millimeters or 1 meterD. 1200 millimeters or 1 meter

Click the image to Click the image to watch a short video watch a short video

about the meter.about the meter.

http://www.metricamerica.com/SI-Metric/meter.wmv

Measuring LengthMeasuring Length

How many millimeters are in 1 centimeter? How many millimeters are in 1 centimeter?

What is the length of the line in centimeters? _______cmWhat is the length of the line in centimeters? _______cm

What is the length of the line in millimeters? _______mmWhat is the length of the line in millimeters? _______mm

What is the length of the line to the What is the length of the line to the nearestnearest centimeter? ________cm centimeter? ________cm

HINT: Round to the nearest centimeter – no decimals.HINT: Round to the nearest centimeter – no decimals.

1 centimeter = 10 millimeters1 centimeter = 10 millimeters

MEASUREMENT OF VOLUME


Which is larger? Which is larger?

A. 1 liter or 1 gallonA. 1 liter or 1 gallon

B. 1 liter or 1 quartB. 1 liter or 1 quart

C. 1 milliliter or 1 fluid ounceC. 1 milliliter or 1 fluid ounce

1 gallon = 3.79 1 gallon = 3.79 litersliters

It would take approximately 3 ¾ It would take approximately 3 ¾ 1-liter bottles to equal a gallon.1-liter bottles to equal a gallon.

1 fl oz = 29.573 1 fl oz = 29.573 mlml1 12-oz can of 1 12-oz can of

soda would soda would equal equal

approximately approximately 355 ml.355 ml.

1 quart = 0.946 liters1 quart = 0.946 liters


VolumeVolume is the amount of space an object takes is the amount of space an object takes up. up.

The base unit of volume in the metric system in The base unit of volume in the metric system in the the literliter and is represented by and is represented by L or lL or l..

Standard: 1 liter is equal to one cubic Standard: 1 liter is equal to one cubic decimeterdecimeter Metric UnitsMetric Units

1 liter (L) = 1000 milliliters (mL)1 liter (L) = 1000 milliliters (mL)

1 milliliter (mL) = 1 cm1 milliliter (mL) = 1 cm33 (or cc) = 1 gram* (or cc) = 1 gram*


A. 1 liter or 1500 millilitersA. 1 liter or 1500 milliliters

B. 200 milliliters or 1.2 litersB. 200 milliliters or 1.2 liters

C. 12 cmC. 12 cm33 or 1.2 milliliters* or 1.2 milliliters*

Measuring VolumeMeasuring Volume

We will be using We will be using graduated cylindersgraduated cylinders to to find the volume of liquids and other objects.find the volume of liquids and other objects.

Read the measurement based on the bottom of the Read the measurement based on the bottom of the meniscusmeniscus or curve. When using a real cylinder, make or curve. When using a real cylinder, make sure you are eye-level with the level of the water.sure you are eye-level with the level of the water.

What is the volume of water in the cylinder? _____mLWhat is the volume of water in the cylinder? _____mL

What causes the meniscus?What causes the meniscus?

A concave meniscus occurs when the A concave meniscus occurs when the molecules of the liquid attract those of the molecules of the liquid attract those of the container. The glass attracts the water on the container. The glass attracts the water on the sides.sides.

Measuring Liquid VolumeMeasuring Liquid VolumeWhat is the volume of water in each cylinder? What is the volume of water in each cylinder?

Measuring Solid VolumeMeasuring Solid Volume

10 10 cmcm

9 cm9 cm

8 cm8 cm

We can measure the volume of regular object We can measure the volume of regular object using the formula using the formula length x width x heightlength x width x height..

_____ X _____ X _____ = __________ X _____ X _____ = _____

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We can measure the volume of We can measure the volume of irregular object using irregular object using water displacementwater displacement. .

Amount of HAmount of H22O with object = ______O with object = ______

About of HAbout of H22O without object = ______O without object = ______

Difference = Volume = ______Difference = Volume = ______


Which is larger? Which is larger?

1. 1 Pound or 100 Grams1. 1 Pound or 100 Grams

2. 1 Kilogram or 1 Pound2. 1 Kilogram or 1 Pound

3. 1 Ounce or 1000 Milligrams3. 1 Ounce or 1000 Milligrams

1 pound = 453.6 1 pound = 453.6 gramsgrams

100 100 kilogram = kilogram = 220 pounds220 pounds

1 ounce of gold = 1 ounce of gold = 28,349.5 28,349.5 milligramsmilligrams


MassMass refers to the amount of matter in an object. refers to the amount of matter in an object.

The base unit of mass in the metric system in the The base unit of mass in the metric system in the kilogramkilogram and is represented by and is represented by kgkg..

Standard: 1 kilogram is equal to the mass of the Standard: 1 kilogram is equal to the mass of the International Prototype KilogramInternational Prototype Kilogram (IPK), a platinum- (IPK), a platinum-iridium cylinder kept by the BIPM at Sèvres, France. iridium cylinder kept by the BIPM at Sèvres, France.


1 Kilogram (km) = 1000 Grams (g)1 Kilogram (km) = 1000 Grams (g)

1 Gram (g) = 1000 Milligrams (mg)1 Gram (g) = 1000 Milligrams (mg)


A. 1 kilogram or 1500 gramsA. 1 kilogram or 1500 grams

B. 1200 milligrams or 1 gramB. 1200 milligrams or 1 gram

C. 12 milligrams or 12 kilogramsC. 12 milligrams or 12 kilograms

D. 4 kilograms or 4500 gramsD. 4 kilograms or 4500 grams

Kilogram PrototypeKilogram Prototype

Measuring MassMeasuring Mass

We will be using We will be using triple-beam balancestriple-beam balances to find the mass of various objects.to find the mass of various objects.

The objects are placed on the scale and The objects are placed on the scale and then you move the weights on the beams then you move the weights on the beams until you get the lines on the right-side of until you get the lines on the right-side of the scale to match up.the scale to match up.

Once you have balanced the scale, you add up Once you have balanced the scale, you add up the amounts on each beam to find the total mass. the amounts on each beam to find the total mass.

What would be the mass of the object measured What would be the mass of the object measured in the picture? in the picture?

_______ + ______ + _______ = ________ g_______ + ______ + _______ = ________ g

Measuring Mass – Triple-Beam BalanceMeasuring Mass – Triple-Beam Balance

11stst – Place the film canister on the scale. – Place the film canister on the scale.

22ndnd – Slide the large weight to the right until the arm drops below the – Slide the large weight to the right until the arm drops below the line. Move the rider back one groove. Make sure it “locks” into place.line. Move the rider back one groove. Make sure it “locks” into place.

33rdrd – Repeat this process with the top weight. When – Repeat this process with the top weight. When the arm moves below the line, back it up one groove.the arm moves below the line, back it up one groove.

44thth – Slide the small – Slide the small weight on the front weight on the front beam until the lines beam until the lines match up.match up.

55thth – Add the amounts on each beam to find the total mass to the nearest tenth of a – Add the amounts on each beam to find the total mass to the nearest tenth of a gram.gram.

MEASURE OF TEMPERATURE

Degree Celsius- unit of measure for temperature

REFERENCE USED:

A.The freezing point of water ( 0ºC)B.The boiling point of water ( 100ºC)

TO CONVERT ºc to ºF and vice versa:ºF = 9⁄5 ºC + 32ºC = 5⁄9 (ºF – 32 )

ILLUSTRATIVE EXAMPLE:

A. Convert 27ºC to ºF

SOLUTION:

ºF = 9⁄5 ºC+ 32 = 9⁄5 (27) + 32= 48.6 + 32= 80.6ºF

B. Convert 95ºF to ºC

SOLUTION:

ºc = 5⁄9 (ºF -32)= 5/9 (95-32)=5/9(63)=35ºC

measurement ppt

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h t u th hth th

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