Science Lesson Week 3Science Lesson Week 3Evaluate the accuracy and Evaluate the accuracy and

reproducibility of datareproducibility of data

II. Objectives: II. Objectives: Students will be able to measure, Students will be able to measure,

convert their measured values to convert their measured values to another unit using two systems of another unit using two systems of measurements. measurements.

III. Materials:III. Materials:NotebookNotebookTextbookTextbookMeasurement –Conversion TableMeasurement –Conversion TableConversion WorksheetsConversion WorksheetsExperiments:Experiments: LengthLength AreaArea VolumeVolume MassMassBoxes, Cubes, Tables, Triple beam balances, meter Boxes, Cubes, Tables, Triple beam balances, meter

stickstick

Notes 2: Measurements Notes 2: Measurements

CA standard : 9bCA standard : 9b

IV. InputIV. Input

Cornell Notes # 2 MeasurementCornell Notes # 2 Measurement

MeasurementMeasurement – is the process of – is the process of comparing something with a comparing something with a

standard ( measuring instrument)standard ( measuring instrument)SizeSize – refers to physical proportion, – refers to physical proportion,

dimensions, magnitude or extent dimensions, magnitude or extent

2 Systems of Measurements2 Systems of Measurements : :

a. SI –International System of Units a. SI –International System of Units or Systeme International also known or Systeme International also known as the Metric System as the Metric System

b. English System b. English System

2 Systems of Measurements2 Systems of MeasurementsSI ( Metric SI ( Metric System)System)

Base Unit of Base Unit of a. length- metera. length- meter b. mass- kilogramb. mass- kilogram c. time - secondc. time - second d. temperature- d. temperature-

Kelvin Kelvin CelsiusCelsius

English SystemEnglish System

Base Unit ofBase Unit of a. length – feeta. length – feet b. mass- poundsb. mass- pounds c. time – secondsc. time – seconds d. temperature-d. temperature-

FahrenheitFahrenheit

Measuring ToolsMeasuring Tools ToolsTools FunctioFunctio

nnEnglishEnglish

UnitsUnitsSI/Metric SI/Metric UnitsUnits

Drawing Drawing

TripleTriple

beam balancebeam balanceTo measure To measure massmass

Pounds(lbs)Pounds(lbs) Kilogram kgKilogram kg

meterstickmeterstick To measure To measure length,length,

width,heightwidth,height

Inches in Inches in

Feet , ftFeet , ftMeter mMeter m

Centimeter cmCentimeter cm

thermometerthermometer To measureTo measure

temperaturetemperatureFahrenheit Fahrenheit OOFF

Celsius orCelsius or

Centigrade Centigrade OOCC

Kelvin KKelvin K

stopwatchstopwatch To measureTo measure

timetimeSeconds, secSeconds, sec Seconds, secSeconds, sec

Graduated Graduated

cylindercylinderTo measure To measure liquid liquid volumevolume

Milliliter mLMilliliter mL

Liter LLiter L

speedometerspeedometer To measure To measure speedspeed

Miles per Miles per hour -mph hour -mph mi/hmi/h

Kilometer per Kilometer per hour- km/hhour- km/h

odometerodometer To measure To measure long long distancedistance

Miles- miMiles- mi Kilometer kmKilometer km

Measuring ToolsMeasuring Tools ToolsTools FunctionFunction EnglishEnglish

UnitsUnitsSI/Metric SI/Metric UnitsUnits

Drawing Drawing

Weighing Weighing scalescale

To measure To measure weightweight

Pounds(lbs)Pounds(lbs) Newtons NNewtons N

odometerodometer To measure To measure long distancelong distance

Miles- miMiles- mi Kilometer kmKilometer km

Conversion from SI to English Conversion from SI to English SystemSystem

and English System to SI and English System to SI LENGTHLENGTH

1 inch ( in) = 2.54 centimeter1 inch ( in) = 2.54 centimeter

1 meter (m) = 3.28 feet 1 meter (m) = 3.28 feet

1 meter (m) = 39.36 in1 meter (m) = 39.36 in

1 mile (mi) = 1.6 km1 mile (mi) = 1.6 km

1 kilogram (kg) = 2.2 lbs1 kilogram (kg) = 2.2 lbs

PrefixesPrefixes

X1000Kilok X100

Hectoh X 10

Dekada Basic Units

Meter mGram gLiter L

1/100Centi

c 1/1000Millim

1/10Deci d

Common Conversions Common Conversions (SI )(SI ) for Lengthfor Length

kilometer – kmkilometer – km

meter - mmeter - m

centimeter- cm centimeter- cm

millimeter - mmmillimeter - mm

Common Common ConversionsConversions

1 km = 1000m1 km = 1000m

1 m = 100 cm1 m = 100 cm

1 cm = 10 mm1 cm = 10 mm

1 m = 1000mm1 m = 1000mm

Mass and Weight UnitsMass and Weight UnitsMass UnitsMass Units

SISIKilograms- kgKilograms- kgGrams – gGrams – gCentigram -cgCentigram -cgMilligrams- mgMilligrams- mgTons Tons EnglishEnglishPounds – lbsPounds – lbs

1kg = 1000g1kg = 1000g1g= 1000mg1g= 1000mg1ton = 1,000 kg1ton = 1,000 kg1kg = 2.2 lbs (pounds)1kg = 2.2 lbs (pounds)

Weight UnitsWeight UnitsNewtons – NNewtons – N

Weight = Weight = Mass,kg X10 m/sMass,kg X10 m/s22

Conversion Factors for Volume Conversion Factors for Volume SISI

1 cc = 1mL = 1cm1 cc = 1mL = 1cm33

1L = 1000mL1L = 1000mL

EnglishEnglish

1L = 0.264 gallons1L = 0.264 gallons

Common SI Prefixes p 826Common SI Prefixes p 826 PrefixPrefix SymbolSymbol Meaning Meaning

kilo-kilo- kk 1,0001,000

hecto-hecto- hh 100100

deka-deka- dada 1010

deci-deci- dd 1/10 or 0.11/10 or 0.1

centi-centi- cc 1/100 or 0.011/100 or 0.01

milli-milli- mm 1/1000 or 1/1000 or 0.0010.001

Draw a Meter StickDraw a Meter Stick

Metric SI System SideMetric SI System Side

English System Side English System Side

Common Conversions Common Conversions (SI )(SI ) for Lengthfor Length

kilometer – kmkilometer – km

meter - mmeter - m

centimeter- cm centimeter- cm

millimeter - mmmillimeter - mm

Common Common ConversionsConversions

1 km = 1000m1 km = 1000m

1 m = 100 cm1 m = 100 cm

1 cm = 10 mm1 cm = 10 mm

1 m = 1000mm1 m = 1000mm

# Experiment 1: Measurement # Experiment 1: Measurement Meter Stick Meter Stick

1.1. What units are on the two sides of a What units are on the two sides of a meter stick? What system does it meter stick? What system does it belong?belong?

a.a. b.b.2. How long is a meter stick in meters 2. How long is a meter stick in meters

(m) ? (m) ? 3. How many feet are there in 1 meter 3. How many feet are there in 1 meter

(m) ? (m) ?

4.How many centimeter is a 4.How many centimeter is a decimeter? 1 dm =________cmdecimeter? 1 dm =________cm

5. How many centimeter is a meter?5. How many centimeter is a meter?

1 m = _______cm1 m = _______cm

6. What is the smallest division in a 6. What is the smallest division in a meter stick ? ___________meter stick ? ___________

7. How many millimeters are there in a 7. How many millimeters are there in a centimeter? 1cm = _____mmcentimeter? 1cm = _____mm

8. How many millimeters are there in a 8. How many millimeters are there in a meter? 1 m = _______mmmeter? 1 m = _______mm

9. 1 meter (m) = ________ft9. 1 meter (m) = ________ft10. Measure the width of the table in 10. Measure the width of the table in

centimeter (cm).centimeter (cm). width (w) = ______ centimeters (cm)width (w) = ______ centimeters (cm) width (w) = ______meters (m)width (w) = ______meters (m) width (w) = ______inches (in)width (w) = ______inches (in) width (w) = _______feet (ft)width (w) = _______feet (ft)11. Measure the length of the table 11. Measure the length of the table length = _______centimeters (cm)length = _______centimeters (cm) length = _______meters (m)length = _______meters (m) length = _________ inches (in) length = _________ inches (in) length = _______feet (ft)length = _______feet (ft)

12. Measure the side of each cube in 12. Measure the side of each cube in side = _______cmside = _______cm side = _______ mside = _______ m side = _______inchside = _______inch side = _______ft side = _______ft

13. CALCULATIONS 13. CALCULATIONS a.a.

b.b.

c.c.

d.d.

e.e.

f.f.

Homework on Conversion of UnitsHomework on Conversion of Units

1.1. 500 cm 500 cm m m 2.2. 3.5 km 3.5 km m m 3.3. 2,200 mm 2,200 mm m m4.4. 45 m 45 m cm cm mm mm5.5. What do you do the decimal What do you do the decimal

point of a number if you are point of a number if you are converting from smaller unit to a converting from smaller unit to a bigger unit ? Decimal point is bigger unit ? Decimal point is moved to_________.moved to_________.

PrefixesPrefixes

X1000Kilok X100

Hectoh X 10

Dekada Basic Units

Meter mGram gLiter L

1/100Centi

c 1/1000Millim

1/10Deci d

EXAMPLES:EXAMPLES: Conversion of Units Conversion of Units

1.1. 104 km 104 km m m

2.2. 8 mm8 mm cm cm

3.3. 2500 m 2500 m km km

4.4. 50 cm50 cm m m

5.5. 3m 3m ft ft

6.6. 12in12in cm cm

HWHWConversion of UnitsConversion of Units

1.1. 33.33 m =_____ cm33.33 m =_____ cm

2.2. 66.7 m =_____mm66.7 m =_____mm

3.3. 48.52 km =____m48.52 km =____m

4.4. 5.51 m= _____ ft5.51 m= _____ ft

5.5. 2.6 ft= ____ m 2.6 ft= ____ m

6.6. 3.8 cm = _____in3.8 cm = _____in

7.7. 3.1 km =_____mi3.1 km =_____mi

Conversion of Units Conversion of Units

1. 25 m1. 25 mcmcm

2. 150 m 2. 150 m km km

3. 200 cm 3. 200 cm mm mm

4. 550 mm4. 550 mm m m

5. 50 ft5. 50 ft m m

6. 250 in 6. 250 in cmcm

7. 46 mi 7. 46 mi km km

Metric Mania Metric Mania

VI. Closure VI. Closure

Experiment on Length and MassExperiment on Length and Mass

Friday: Experiment on LengthFriday: Experiment on Length Monday : Check Metric Mania Monday : Check Metric Mania

Significant Figures , Experiment 2Significant Figures , Experiment 2 Tuesday:Tuesday: Experiment : Mass Measurement Experiment : Mass Measurement

Wednesday : Part 1 Quiz on Wednesday : Part 1 Quiz on MeasurementMeasurement

Thursday : Part 2 Measurement use Thursday : Part 2 Measurement use scantron scantron

MASS and WEIGHTMASS and WEIGHTCornell NotesCornell Notes

Mass – is the amount of matter. The Mass – is the amount of matter. The number of particles in an object or liquid. number of particles in an object or liquid. It is measured in grams (g)It is measured in grams (g)

Weight- heaviness due to the pull of Weight- heaviness due to the pull of gravity. This a downward force caused by gravity. This a downward force caused by gravity. It is measured in Newtons(N)gravity. It is measured in Newtons(N)

Triple Beam Balance ( Drawing )- instrument Triple Beam Balance ( Drawing )- instrument used to measure mass in grams (g)used to measure mass in grams (g)

Mass and Weight UnitsMass and Weight UnitsMass UnitsMass Units

SISIKilograms- kgKilograms- kgGrams – gGrams – gCentigram -cgCentigram -cgMilligrams- mgMilligrams- mgTons Tons EnglishEnglishPounds – lbsPounds – lbs

1kg = 1000g1kg = 1000g1g= 1000mg1g= 1000mg1ton = 1,000 kg1ton = 1,000 kg1kg = 2.2 lbs (pounds)1kg = 2.2 lbs (pounds)

Weight UnitsWeight UnitsNewtons – NNewtons – N

Weight = Mass,kg X 10 Weight = Mass,kg X 10 m/sm/s22

Mass and WeightMass and WeightMass in kg Mass in kg

1.1. 16 g16 gkgkg

2.2. 303 g303 gkgkg

3.3. 40 kg40 kg

4.4. 500 mg500 mgkgkg

5.5. 10 g10 gkgkg

Weight in Newtons = Weight in Newtons = mass (m) X mass (m) X acceleration due to acceleration due to gravity (g=10m/sgravity (g=10m/s22))

W= mgW= mg

1.1. 16 g16 g kg = .016kg kg = .016kg

Weight = .016 kg X Weight = .016 kg X 10 m/s10 m/s22 = .16Newtons or= .16Newtons or

W= 0.16 NW= 0.16 N

Gravitational Acceleration (g)Gravitational Acceleration (g)Acceleration – Acceleration –

Gravitational Gravitational Acceleration (g)Acceleration (g)

The change in speed The change in speed and direction or and direction or velocity.velocity.

The change in the The change in the object’s speed due to object’s speed due to gravity (g)gravity (g)

g = 9.8 m/s/sg = 9.8 m/s/s =10 m/s=10 m/s2 2 g = 32 ft/sg = 32 ft/s22

WEIGHTWEIGHTWeight Weight Is a downward FORCEIs a downward FORCE

Is affected by gravityIs affected by gravity

Weight = Mass, kg X gravitational Weight = Mass, kg X gravitational acceleration (g)acceleration (g)

Weight = Mass X g ( 9.8=10m/sWeight = Mass X g ( 9.8=10m/s22))

Experiment 2: Mass and WeightExperiment 2: Mass and Weight

Purpose Purpose : To measure the mass of each : To measure the mass of each cube using a triple beam balance and cube using a triple beam balance and calculate each weight. calculate each weight. 2pts2pts

Safety ________ Time ______Safety ________ Time ______Cleanliness______ Report ____Cleanliness______ Report ____Cooperation _______Cooperation _______Materials :Materials : 3 pts3 pts9 cubes triple beam balance 9 cubes triple beam balance experiment paper experiment paper Gloves pencilGloves pencil

Procedures:Procedures: 5 pts 5 pts1.1. Calibrate the triple beam balance for Calibrate the triple beam balance for

accurate reading.accurate reading.2.2. Measure the mass of each cube in Measure the mass of each cube in

grams . grams . 3.3. Record in Data Table 1Record in Data Table 14.4. Convert each mass in grams to Convert each mass in grams to

kilograms .kilograms .5.5. Record again in Data Table 1Record again in Data Table 16.6. Calculate the weight using Weight = Calculate the weight using Weight =

mass in Kg X 10 m/smass in Kg X 10 m/s22

7.7. Record in Data Table 1Record in Data Table 1

Data Table 1 10 pts Data Table 1 10 pts CubesCubes Mass, gMass, g Mass,KgMass,Kg Weight ,NWeight ,N

1.PVC1.PVC

2.Pine2.Pine

3.Oak3.Oak

4.Copper4.Copper5.Polyprophelen5.Polyprophelenee

6.Steel6.Steel

7.Brass7.Brass

8.Acrylic8.Acrylic

9.Aluminum9.Aluminum

CalculationsCalculationsskip 3 linesskip 3 lines

1.1.

2.2.

3. Up to 3. Up to

9.9.

Graph 10 ptsGraph 10 ptsWeight VS Mass,kgWeight VS Mass,kg

Slope = rise / run 10 ptsSlope = rise / run 10 pts

Slope Equation y=mx + b 10 pts Slope Equation y=mx + b 10 pts

TOTAL = 30 ptsTOTAL = 30 pts

Graph Graph Weight of each Cube 5ptsWeight of each Cube 5pts

Analysis and ConclusionAnalysis and Conclusion

1.1. Differentiate mass and weight in terms of Differentiate mass and weight in terms of definition and units.definition and units.

2.2. How do you measure mass?How do you measure mass?3.3. What are the parts of the triple beam What are the parts of the triple beam

balance and its uses? How do you use balance and its uses? How do you use the triple beam balance?the triple beam balance?

4.4. How do you calculate weight.How do you calculate weight.5.5. Does the mass of an object remain Does the mass of an object remain

constant in different location on earth constant in different location on earth and space ? Why ?and space ? Why ?

6.6. Does the weight of an object remain Does the weight of an object remain constant in different location on earth constant in different location on earth and space ? Why ?and space ? Why ?

Experiment 3: Mass and Weight of WATERExperiment 3: Mass and Weight of WATER

Purpose Purpose : To measure the mass of WATER using a : To measure the mass of WATER using a triple beam balance and calculate its weight. triple beam balance and calculate its weight. 2pts2pts

Safety ________ Time ______Safety ________ Time ______Cleanliness______ Report ____Cleanliness______ Report ____Cooperation _______Cooperation _______Materials :Materials : 3 pts3 ptsDistilled Water Tap Water Distilled Water Tap Water triple beam balance test tubes triple beam balance test tubes experiment paper graduated cylinderexperiment paper graduated cylinderGloves pencilGloves pencilTest tube rackTest tube rack

Procedures:Procedures: 5 pts 5 pts1.1. Calibrate the triple beam balance for accurate Calibrate the triple beam balance for accurate

reading.reading.2.2. Measure the mass of the empty cylinder.Measure the mass of the empty cylinder.3.3. Pour the sample water into the graduated Pour the sample water into the graduated

cylinder ,then measure the mass of the cylinder cylinder ,then measure the mass of the cylinder with water.with water.

4.4. Measure the mass in grams of different samples of Measure the mass in grams of different samples of water, 10 mL each by subtracting the mass of the water, 10 mL each by subtracting the mass of the empty cylinder from the mass of the cylinder with empty cylinder from the mass of the cylinder with water.water.

5.5. Record in Data Table 1Record in Data Table 16.6. Convert each mass in grams to kilograms .Convert each mass in grams to kilograms .7.7. Record again in Data Table 1Record again in Data Table 18.8. Calculate the weight using Weight = mass in Kg X Calculate the weight using Weight = mass in Kg X

10 m/s10 m/s22

9.9. Record in Data Table 1Record in Data Table 1

Data Table 1 10 pts Data Table 1 10 pts

Samples ofSamples of

LiquidsLiquidsMassMass

Of Of Cylinder Cylinder with with water,gwater,g

Mass of Mass of the the Empty Empty cylinder,cylinder,

gg

Mass of Mass of water,gwater,g

Mass of Mass of

Water , kgWater , kgWeight , NWeight , N

Distilled Distilled WaterWater

Tap WaterTap Water

GreenGreen

CalculationsCalculations

Mass of water samples ,gMass of water samples ,gkg and kg and calculate weight = mass X gravitycalculate weight = mass X gravity

1.1. Distilled Water Distilled Water

skip 5 linesskip 5 lines

2. Tap Water2. Tap Water

CalculationsCalculationsskip 3 linesskip 3 lines

1.1.

2.2.

3. 3.

Analysis and ConclusionAnalysis and Conclusion

1.1. How did you measure the mass of water? How did you measure the mass of water? ExplainExplain

2. Which water sample has a greater mass ? Why?2. Which water sample has a greater mass ? Why?

3. How did you convert mass in grams to kilograms?3. How did you convert mass in grams to kilograms?

4. How did you calculate weight of water ?4. How did you calculate weight of water ? what is the unit of weight in SI?what is the unit of weight in SI?

Significant FiguresSignificant FiguresThe number of significant figures in a number is The number of significant figures in a number is the number of digits whose values are known the number of digits whose values are known with certainty. with certainty.

Rules in determining the Significant Values:Rules in determining the Significant Values:1.1. All non zero digits are significant.All non zero digits are significant. 12.34 - 4 significant figures12.34 - 4 significant figures

2.2. All zeros to the right side of a non zero digit but All zeros to the right side of a non zero digit but to the left of an understood decimal point are not to the left of an understood decimal point are not significant.significant.

102,000 – 3 significant figures102,000 – 3 significant figures 102,000 – 5 significant figures102,000 – 5 significant figures 3. Zeros between two non zero digits are significant.3. Zeros between two non zero digits are significant. 120.003 - 6 significant figures120.003 - 6 significant figures

4. All zeros to the right of a decimal 4. All zeros to the right of a decimal point but to the left of a non zero digit point but to the left of a non zero digit are not significant.are not significant.

.000123 – 3 significant figures.000123 – 3 significant figures

5. All zeros to the right of a decimal 5. All zeros to the right of a decimal point and to the right of a non zero point and to the right of a non zero digit are significant.digit are significant.

0.01020- 4 significant figures0.01020- 4 significant figures

10.00 - 4 significant figures10.00 - 4 significant figures

CW Significant FiguresCW Significant Figures

How many significant figures are there How many significant figures are there in the following numbers:in the following numbers:

1.1. )104,000 6.) 22.00)104,000 6.) 22.00

2.2. )343.5 7.) 0.007870)343.5 7.) 0.007870

3.3. )0.00056 8.) 6.50)0.00056 8.) 6.50

4.4. )34.003 9.) 809.00)34.003 9.) 809.00

5.5. )5.630 10.) .00807)5.630 10.) .00807

Notes 4: Area and Volume Notes 4: Area and Volume Area – is the space occupied by a Area – is the space occupied by a flat object or 2 dimensional objectflat object or 2 dimensional object

Area Formulas of Regular shapes:Area Formulas of Regular shapes:1.1. Square A= s x sSquare A= s x s2.2. Rectangle A = l x wRectangle A = l x w3.3. Circle A = TT r Circle A = TT r 22 or or A = TT dA = TT d22 / 4 / 44. Triangle A = ½ bh4. Triangle A = ½ bh

Units of Area Units of Area

English SystemEnglish System

Square inches( inSquare inches( in22))

Square feet ( ftSquare feet ( ft22))

AcresAcres

Square Miles( miSquare Miles( mi22))

SISI

Square cm ( cm Square cm ( cm 22))

Square m ( m Square m ( m 22))

Hectares ( ha) Hectares ( ha)

Volume Volume

Volume – is the space occupied by a Volume – is the space occupied by a three dimensional object three dimensional object

Volume = Area X HeightVolume = Area X Height

Volume Formulas of Regular Volume Formulas of Regular Shaped ObjectsShaped Objects

1.1. Cube V = s x s x sCube V = s x s x s

2.2. Rectangular Prism V = l x w x hRectangular Prism V = l x w x h

3.3. Cylinders V = TTr Cylinders V = TTr 22 h h

oror

V = TT dV = TT d22 h/4 h/4

Units of Volume Units of Volume English SystemEnglish System

Cubic inches(inCubic inches(in33))

Cubic feet ( ftCubic feet ( ft33))

Gallons ( gal )Gallons ( gal )

SISI

Cubic cm ( cm Cubic cm ( cm 33))

Cubic m ( m Cubic m ( m 33))

Liters (L)Liters (L)

Milliliters ( mL)Milliliters ( mL)

Conversion Factors for Volume Conversion Factors for Volume SISI

1 cc = 1mL = 1cm1 cc = 1mL = 1cm33

1L = 1000mL1L = 1000mL

EnglishEnglish

1L = 0.264 gallons1L = 0.264 gallons

Experiment 4:Volume Experiment 4:Volume of Regular and Irregular Solids and Liquidsof Regular and Irregular Solids and Liquids

I.I. Purpose : To determine the volume of solids Purpose : To determine the volume of solids and Liquidsand Liquids

II.II. Materials:Materials: CubeCube Rectangular PrismRectangular Prism beakersbeakers water water graduated cylinder graduated cylinder coins with screwcoins with screw glovesgloves

III. Procedures:III. Procedures:

1.1. Determine the volume of a cubeDetermine the volume of a cube

Using Volume = side X side X sideUsing Volume = side X side X side

2. Determine the volume of a rectangular 2. Determine the volume of a rectangular prism using prism using

Volume = length X width X heightVolume = length X width X height

3. Determine the volume of a beaker 3. Determine the volume of a beaker using using

Volume = Volume = ΠΠ diameter diameter22 height /4 height /4

4. Determine the volume of irregular 4. Determine the volume of irregular solid- coins with screw by solid- coins with screw by

pouring 20 mL of water into the pouring 20 mL of water into the graduated cylinder and putting in the graduated cylinder and putting in the object with a string.object with a string.

VVobject object = V= Vwater + objectwater + object – V – V water onlywater only

IV. Data Table IV. Data Table 1.1. Volume of cube =S X S X SVolume of cube =S X S X S

_____cm X ______cm X______cm_____cm X ______cm X______cm

VVcubecube = ________ cm = ________ cm33= ______mL= ______mL

2.2. Volume of rectangular prism=Volume of rectangular prism=

length X Width X Heightlength X Width X Height

______cm X_______cm X_______cm______cm X_______cm X_______cm

VVrectangularprismrectangularprism= __________cm= __________cm33=____mL=____mL

3. Volume of beaker =3. Volume of beaker =

ΠΠ X diameter X diameter X X diameter X diameter X height/4 =height/4 =

3.14 X ____cmX_____cmX_____cm/4 3.14 X ____cmX_____cmX_____cm/4

Volume Volume beaker beaker = ____cm= ____cm33=____mL=____mL

4. Volume of coin with string =4. Volume of coin with string =

Volume Volume water +object water +object – 20mL =_____mL– 20mL =_____mL

__________mL – 20 mL = _____mL__________mL – 20 mL = _____mL

Volume Volume object object = _____mL=____cm= _____mL=____cm33

V. Analysis and Conclusion V. Analysis and Conclusion 1.1. How do you calculate the volume of a How do you calculate the volume of a

cube?cube?2.2. How do you calculate the volume of a How do you calculate the volume of a

rectangular prism?rectangular prism?3.3. How do you calculate the volume of a How do you calculate the volume of a

cylinder?cylinder?4.4. How do you get the volume of an How do you get the volume of an

irregularly shaped object ?irregularly shaped object ?5.5. What is the common unit of volume?What is the common unit of volume?6.6. Is cmIs cm33 , the same as mL ? , the same as mL ?

Experiment 3: AreaExperiment 3: Area

Notes 4: Problem Solving StepsNotes 4: Problem Solving Steps1.1. Read the problems Read the problems

several times.(READ)several times.(READ)2.2. Make illustration to Make illustration to

describe the describe the problem.(DRAW)problem.(DRAW)

3.3. Write the given data.Write the given data.(GIVEN)(GIVEN)

4.4. Determine the Determine the unknown .(FIND)unknown .(FIND)

5. 5. Write the appropriate Write the appropriate equation that connects equation that connects the given data to the the given data to the unknown.(EQUATION)unknown.(EQUATION)

6.6. Substitute the given into Substitute the given into the equation to solve the equation to solve the unknowns. the unknowns. (SOLUTION)(SOLUTION)

7.7. Enclose your final Enclose your final answer with a box.answer with a box.(FINAL ANSWER(FINAL ANSWER ) )

Solving Scientific Problems Solving Scientific Problems

ReadRead Draw Draw Given Given Find Find

EquationEquation Solution Solution Final Answer Final Answer

Area CalculationsArea Calculations1.1. John wants to carpet his living room. He John wants to carpet his living room. He

measured and found that the room is 12 ft X 8 measured and found that the room is 12 ft X 8 feet. How much carpet does he need in ftfeet. How much carpet does he need in ft22??

2.2. Karen wants to put a wallpaper border around Karen wants to put a wallpaper border around her kitchen. The room is square and is 14.6 feet her kitchen. The room is square and is 14.6 feet on one side . How much wallpaper is needed in on one side . How much wallpaper is needed in mm22??

3.3. If one can of paint covers 100 square ft and If one can of paint covers 100 square ft and John wants to paint a room that is 14 ft by12 ft, John wants to paint a room that is 14 ft by12 ft, how many cans of paint does he need?how many cans of paint does he need?

Volume Problems Volume Problems 1.What is the size of a box measuring 3cm X 1.What is the size of a box measuring 3cm X

4cm X 5 cm4cm X 5 cm

2. How many boxes measuring 3cm X 4 cm X 2. How many boxes measuring 3cm X 4 cm X 5 cm can fit into a carton measuring 30 cm 5 cm can fit into a carton measuring 30 cm X 40 cm X 50 cm?X 40 cm X 50 cm?

3. If the cost of digging a trench is 3. If the cost of digging a trench is $ 20/m$ 20/m33, what would be the cost of digging a , what would be the cost of digging a

2m X 5m X 4m trench?2m X 5m X 4m trench?

4. If the tank measures 2m in diameter and 4. If the tank measures 2m in diameter and 1m in height , what is the tank’s capacity?1m in height , what is the tank’s capacity?

October 1-5, 2007October 1-5, 2007Lesson Plan Lesson Plan

ScienceScience

Ca Standards: 8.9f , 8.8a-dCa Standards: 8.9f , 8.8a-d Students will be evaluated on Area Students will be evaluated on Area

and Volume calculations.and Volume calculations. Students will determine the volume Students will determine the volume

of an irregular solid.of an irregular solid. Students will determine the Students will determine the

relationship of mass and volume.relationship of mass and volume. Students will relate density with Students will relate density with

buoyancy.buoyancy.

#30 HW 20 pts Oct 5#30 HW 20 pts Oct 5

Sec Review 1-8 p 83Sec Review 1-8 p 83

Summary p 83Summary p 83

Vocabulary Sec 1 p99 Vocabulary Sec 1 p99

Key Concept Sec1 Key Concept Sec1

Extra Credit (Volume)Extra Credit (Volume)1.1. A 5 mA 5 m33 cylindrical tank is to be cylindrical tank is to be

constructed . If the tank should have a constructed . If the tank should have a diameter of 1 m , how tall must the tank diameter of 1 m , how tall must the tank be ?be ?

2.2. Lita is taking her TV to the boarding Lita is taking her TV to the boarding house. She finds a cubical box which has house. She finds a cubical box which has a volume of 0.05 m^3. Will her TV fit into a volume of 0.05 m^3. Will her TV fit into this box if it measures 45 cm X 10 cm X this box if it measures 45 cm X 10 cm X 30 cm ?30 cm ?

#30 Area and Volume Test#30 Area and Volume Test

1.1. A. What is the volume of a box A. What is the volume of a box measuring l= 5 cm, w= 4 cm and measuring l= 5 cm, w= 4 cm and h=3 cm?h=3 cm?

B.What is the total surface area of B.What is the total surface area of the box?the box?

2. If the tank has a diameter of 2m and 2. If the tank has a diameter of 2m and a height of 1 m , what is the tank’s a height of 1 m , what is the tank’s capacity?capacity?

3. If the height of water in a cylinder 3. If the height of water in a cylinder measures 10 cm and the container measures 10 cm and the container measures 2 cm in diameter, how measures 2 cm in diameter, how much water is in the container? much water is in the container? Express your answer in mL.Express your answer in mL.

4. If the cube measures 64 cubic cm, 4. If the cube measures 64 cubic cm, determine the measurement of each side of determine the measurement of each side of a cube?a cube?

Extra Credit: 10 ptsExtra Credit: 10 pts

5a. How much water is in the graduated 5a. How much water is in the graduated cylinder ?cylinder ?

5b. If a stone was placed into the water, then 5b. If a stone was placed into the water, then water rises to 42 mL,how big is the stone in water rises to 42 mL,how big is the stone in cubic cm?cubic cm?

Experiment 5: Volume of Irregular Experiment 5: Volume of Irregular SolidSolid

Experiment 6: Relationship of Mass Experiment 6: Relationship of Mass and Volume and Volume