a science pr4cess measure imte#chers. · before you administer the science process measure, place...

17
ED 104 8,24 ADTFIOR TITLE PUB. DATE, -10TE 1 EDRS yRICE DESCRIPTORS DOCONEWT DEVINE 'Sliml., Dennis W. 0 UserInformation for Sqien=e,Process B." . [76] .t 17r.: For 9e1Ated documents, see SE '030 370-1372.4 Contains occasional light ani broken, type. SE 030 3.7403 k # Measure-Form P MF01/P201 Plus Postage. *E.lementarir Secohdary Eddcatiron: traluation; *Interpretive Ski4s:.*Measures (Individdals); Performance Tests: *Process Education:- Sgience Educ&tion: *Science Teachers: Science Tests'. '" 4BSTRAcr Presented a Science Pr4cess Measure imte#chers. . . of science. Tha instru.ment coitsipsof 13 items, a reipon*rieet, . and a va newer key. No data regardina 'instrument. axe lip:rovtdeJ. (CS) a '4. II 4 # V r Sr ***********.****************34**4.**************.************************* *, ...Reproductions suplied bvnEDPS are'the best that-can be raie, * % * . from tlie ariairkal doutiment. * *4*************************;********************************e**r(****** . a V V To

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Page 1: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

ED 104 8,24

ADTFIORTITLE

PUB. DATE,-10TE

1

EDRS yRICEDESCRIPTORS

DOCONEWT DEVINE

'Sliml., Dennis W. 0

UserInformation for Sqien=e,ProcessB." .

[76] .t

17r.: For 9e1Ated documents, see SE '030 370-1372.4Contains occasional light ani broken, type.

SE 030 3.7403

k

#

Measure-FormP

MF01/P201 Plus Postage.*E.lementarir Secohdary Eddcatiron: traluation;*Interpretive Ski4s:.*Measures (Individdals);Performance Tests: *Process Education:- SgienceEduc&tion: *Science Teachers: Science Tests'.

'"

4BSTRAcrPresented a Science Pr4cess Measure imte#chers.

. .

of science. Tha instru.ment coitsipsof 13 items, a reipon*rieet, .and a va newer key. No data regardina 'instrument. axe lip:rovtdeJ.(CS)

a

'4.

II

4

#

V rSr

***********.****************34**4.**************.**************************, ...Reproductions suplied bvnEDPS are'the best that-can be raie, *

%* . from tlie ariairkal doutiment. *

*4*************************;********************************e**r(******

. a

V

V

To

Page 2: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

a .(

. User Informationfor

Science Procbss Measure Form-B

,

Before you administer the Science Process Measure, place ofl yourdesk or on a large table the following 1,tems far the teachers to useas needbd:

equal-arm aIance container of water

30-006 ruler- paper clips, metal ndts,. or gram,masses

several grad4ted.cylinderT111111

t Task 15: Place on your deSk a contain4W, labeled "Task 1N." Theteachers are to estimate itsdiameter, height, andvolume.An unmarked cylindrical objed+ such as a tin can islatisfactory. The object should 68 at least one decimeter

1.!N

n;Pir 4 ITask 1J8: Each teacher should hixe an object Whose length or dia-

meter can be easily meastired with a 30 cm rule".. The

object should be hollow so that it.can be filled withwater andAlte'volume of water measbred to determine the

a volume.of the object. Paper cups, tin cans, prastrcvials, and ciffnkirig glasses are satisfactory:

4

U S DEPAIIIINIENT OF HEALTH.EDUCATION WELFAREMATH:II/AL INSTiTUTE OF

EDUCATION

TmiS DOCUMEIZIT rAS SEEN REPRO-DUCED EXACTLY AS RECtIVED FROMTHE PERSON OR ONGANQAT ION ORIGIs4-ATING IT POINTS OF VIEW OR OPINIONSSTATED 00 NOT NECESSARILY RE PRESENT OF F ICIAL NATIONAL INSWITuTE OF

_EDUCATION POSITION OR PM. ICY

4

-PERMISSION Td REPRODbCE TWIN'S

VATERIAL HAS BEEN GRANTED BY

f.knnis SLAM/Xi

TO THE EDJCATIONAL RESOURCESINFORMATION CENTER (ERIC)"

Page 3: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

SCIENCE PROCESS MEASURE FORM

Please complete each of the tasks to the best of your ability int the time allowed.. Perforni the tasks for which you feel most competent

first; then return to those tasks you skipped..

Piece .al I responses on the r onse sheet. You will need objectsfor'tasks 15 and 18. Please do not write in this booklet.

1 . On the response she et are several stateMents. Indicate w4th anin the appropriate box which statements are inferences and which.are

4hypotheses.

Here is a fable of da a collected *during an investigation to find outhow many feet it took.for a car 10 stop aft4r the brakes wereapplied. when the'car was trpvelling at different speeds.

Speed,'km/hr

Braking Distance,Petars

20 3.5

40 10.0

50 15.0

60 21:5V

70 30

80 40.5 !

COnstruct a point graph of fhese data.on your response sheet. Be

- certain to lal'the axes.

3. ' Task 2 described an investigationsof the braking distance of a. car.Mame the manipul,ated variable and thF responding variable for thisexperiment.

4

4: 071 the response sheet, check the p'atterns thaf are symmetriCal withrespect to a line: If nov is symmetrical wfth respct to a 'line,check "No pattern is symmetrical with respect to a li.ne." Supposeyou could cut out the figures. Describe how you would distingursh

4 'which patterns are symmetricl and which are not symmetrical.

A modified version of Science .Process Measure for Teachers (AAAS) ,m9Dennis W. Sunal,'West Virginia University.

.#

Page 4: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

5. Below is a fable of data about eight children in a class. Cqnstrwt amultistage classification 'that opuld be used to identify each of%theeigh't children.

a

.

a.

Name

s

Birthday He,ight .

0.

Siblings

Before '

.June 30

.

AfterJune 30

Gs

>12.,dm.

<12'

dm

.

*0-3 7 3 .

John .r....."

Karl .

.

Larry. .

.

i

k'. '

Mark.

,

!-

Neal

Oscar V .

.

.

Paul .

t,

1...

,

uentin

.

,

15. A teacher sNvwed his class the following oontainers:

tContents

A Open container of powdered gelatin

B Open contajner ot gelatin and water

Open container of powdered agar

Open container of4mgar and water"t-

The class made the following inferences based on these observations:.

Obsei'Aration

no mold

much mold

no mold

much mold

' Inference A. Moldlwill not grow on dry s'Ulastances.lnference.6. Air is necessary'for mold to grow.

Which observations support each of.these inferences?

7. State a rule'for determining the time rate of change-of a propeposition of an object.

8. >A-kickball is 9.5 meter around (circumference).mound to homeplate is ten meters. When a chrldgrounei, it takes two seconds for the WI to rol

,

mound to homeplate.

What is 'the avere?94,speed of the ball in:

' A.,' Meters pers,second?B. Number of revolutions per second?

,

or

From theepitcher's'rolls the ball on theI Tram the pitcher's

Page 5: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

9. Ongthe response sheet is a graph. Place an "X" over.a point thatrepresents an observation. Draw an arrow to identify any point onthe curve That represents a prediction.

10. On ttle basis of the information inIthe graph, shown for Task 9, writeyour predictio05 !:,f the number of milliliters.of gas that would begiven off.each minute if the temperature of the culture of yeast wereset at:

A. 46° CB. 90' C

11. Two jars of the same'size and shape, were half-filled with water..Rourice cubes.were added to one jar, and eight to the other. The experimenter,observed that the four ice cubes took 20 minutes to melt arid,the eightice cubes took 60'minutes. Based upowthif information, three childrenpredtcted the melting time for six ice cubes in a jar harf-flt.led withwater:

Jim predicted 45 minutes

John predicted 40 minutes

/ George predicted less thaQ..4 minutes,but mdre than 20 minutes.

trder these three predictions from most to least nellable and describethe basis for your decision.

,. .

,

i 12. The.foIlowing tatilIe gives some data from aillarge group cl,f people abouthow often color_blindness occurs in/the chijdren of parents who are orare not.colorblind:

,

,.

- . -Sons Dapqhters

.

I., -.

A....When both father and mother are color-blind,coloc blindness im the children occurs asfollows: I

all all . ..

.

'9. .

B. When mother is color-blind and father isall none

.

.

not color-,blind, color bli6dness in thechildren is.'as follows:

_ .

C. kien father is Color-blind Old mdther is not0.25

.

i0.25not-color-blind, color blindness in the child-ren is as follows:

D. 'When neith0?-- father nor mother.is color-0.25 noneblind, color blindness in the children is

as follows:.

Indicate rihether the data in each r6ow support or do not support thst,

following st31ement about colorblindness: i

If one or both parNts 9re c6lorblind, at least haif pf ;Tie children will

be colorblind:

b.

Page 6: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

13. Examinia carefully the pictures of the items shown in the foilowingfigure. Write a description'of Item "N" so that another,pertoncould read your description and pick out Item "N" from among all ,of them.

A

1111111111111111

MEM 111111111111111111

a.

V

4

B.

ck 0 0 0D I IDo o oo^o,o. I -0

o 0,0060-c0

.00 °of:, o

K 7

4

14. Different children made thesestatements about an object insid a 4

s9.ck. They had .felt and smelled the objee\ but had'not Looked at it'.

A. 11 is tube off glue.

B. Ikcan be bent.

C. ,rt smells like,pepper int candy.

D. It feels like a tube thai is not full.

E. It might be a tube of -i-oothpaste.

F. It is a plastic tube.

do

Indicate whether each statement is an obseryation,'an inference, orneither.

A

15. At the front desk is an oject labeled "Task 15'!I° ,Without using anymeaoring instruments, you are to record -fhe followjng estimations

for this object qn the response sheet:

'A. Diameter of the object in mIllimeter',-s.

S. Height of the o6ject in decimeters.

C: Volume of water that.the object could hold when f\iledin liters.

Page 7: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

16. A child minstrUcted the inference that a potato.cut in the shape ofa cube Wil) tose water faster than a potato cut in the shape of acylinder.

Describe p test of this infereDde.

List the variables in your test:

/17. Two stoppered tubes containing different liquids were turned.upside

down at the same time. An air bable in each then began to rise to'the top,- as,shown in this figure:

From this observatrona child madethis hypothesis: ,Air bubbles risefister in some kinds of Liquidsthan.in others.

%

A

While'the child was testing his idea, he observed that air bvubblesrise faster in liquids A and g when they are warmAtlan when theYare cold. On +lie basis of this new information, revipe the hypothesisoriginally made by the child.

16. The inainwctor will name an object for use in, this task. Measure thelength Nnd volume of this object. You may use any of the materialsat the front desk tp help,you make these measurements. Record themeasurements on the response sheet.

I.

Page 8: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

FORt,i B RESPONSE SHEETS.

1. Chtikk the.

.1 nference,

appropriate b.oxes:

Hypothpis

Nle

E

The tired orl this Stout faSt because the

Small tires wear outtires.

tree that is greenneedlev

This tr6e.has leayes

ingray bicycle %ear.wheels are small.

faster than large

in the-winter has

instead of needlesso it will not be green next winter.

1. 4..4..+.11.......-

rr

4+4 4 . -4.77....... --,-...- . 4._ _

... 47., 471.0...r,- 40.

-___

1."".imulli j+-A +1.

. - h 1..../....;' on.-m. * ...4.4. +4+ +

4.-- v

0=410 M..

r, .44-F. p -r. -

. ..........L...r..... .

..... ........t d

.4.144..1

-..... 44.4 .i., ,.... -. .. 0.

+ +4-

- 41.-41. 1404140+.. .

#..". #.. T.'... -....1. .-.,.....0.......r.r .4. I.

,-L......,r-;.1..,-,re

- -a. 4I 1 I

r,..-....4- 4. 41...

.

......,44. 1444

4.

.

+".Ir.- 4 4. .4

. 4. 4..4.1

r -1.- -......-++

...0.- +.4.,- 1- -- .......

s.

r-- r-.---' ....-1.

!.. .4. .

4.4 -,...-m-44.4.4.......41.e-44144

.-4-

- *-- t -...4-59.--....t

- . ....- .- 4..4..... .-44:., r---4

0........

4.r .....r.4. ....

'''" -I-... ...A..-..........

- 4-----..., .......,

....,, 016--#.....e .... -.4.....11. II- ...1444.-4

rm., .r.,....4........--prt

. i- jj....

.

l r - I

...- '1.4. -4..! 4.- . 4- ,-4. .1......14...

.... -r . --1. 4-r-L..p.....:-,.

- - ...

..... _b..

t

,-.. ,- .... e-

I.4 : ror 1 , i -....PII. -4-*

...:..--rr -

* r -4. .-

4.- # -r r-

.-......r....4-4. ,. r -I

.L.,..

e...... - ,r... 7. eme. .i..

,................L...

.1...t..::4

,....,_._....,4". 4. 4.........rrA

4!0011,

.44 41-...-i 44""'.4.r1.44--1.-

em ..ele

- r - 4-i-r

1.-el. 5 V. 1,4

- 1..1.

4+-'-''.... 1,.,

I. r sfa be.

. ,

rt-rL.......,

......r ......,...-..." -rar ........pr.r.

#41. mew 4I, ,

-......4...r -

- n. , -

/ r-- ,_,.0...... I

ee 4 5... ; re elm,.

L....4r 'aLli MI I 044.e; - - # p -

,14. le.e .

.....-ir r I

a 4. r 0t ----a4114

-

44. e

44,

- - ;-- ....I-ft, 0.--

,.._.

* r r rt...... - :.

014 40+ 11. !-. 411410,......... 4.. .... --11

.- ....0. - --4-A. -+ -.14 . .....1

-7-^

" rle ....4...4.

-r -.

0. :.. ...-",i ..... 1.

r " !. "'---... -

4. .4.4....-.

...44.4404

4.40. .. ....AP

-r --4.. "

-1......T....41,

.14 44.

-....... r- 41*--.---..0- ...-L...

r1,14.. 4 ...........

.4. an

7 .4 P.. .44.4 4

4 -1-, ÷ --

- r - 4.- ....., ....a.

...

---,...-

, .-.- -.- .

-4.4. . .-..........-....,... .

g44, .0.- ..- ..

1- -A -...0-

#. ....4.-

. --

.r .1-,..... , -...... 4

. - . ... .0 ....- ,. b... .

. 0. 0........

. ra

..r .-.- i

. 0

i....

'g,

- -,..- -A 1"""*.,-,-.r.0 - 4.4

i -.. -L.

4 g 4-. .....

.--- - ----'-10.0.46.4.0

ee.. .

- - - ----4, T-4.

040 -44.

,....-..r..._ : ....-

! 0!

..., '..-- ..

............ .

.

4--...-, lb.

_

e. -e , 114! - 4 - , I- - - - . -. . - .-

__

-e 0 .. #, . i . -,

.- . 4 -4,

4 - . .- ..-' ^

t .

t -' a

.1....

7 '. 4--e . -...,4,,

r -r: 74- rt.-1-- -- I

# r - ,

4rr Ir. I- -.

-.

...- p.

.... r r- . orVP

. . i.--. :

- -a.-

-. .

. ... .. t

- .

.

V g 0. 4

. a .

..

4

0

..0.

gp! 0

4. -A

- .,- -. 4; - r r

,. . . .., .- .......... 4.

-or

. . - .. - . f . 0,...- - .. PR

. r ..4

s rt

_

. -- r . p. e --.. -

14

. .0, r

- .

...-. ... . .

. . . ,

'

f.-

41.01

tTrx

''' -, 1r - r, 0-..-i .- t-.

1. 0.. . 44,

.

0--0

-...- r- -

b. /4 0

-... ...Ir.- ........_ ...--. a.

e

4.- - e- - - .. -.41 .

e....- e_ e 4 e. 4

14

0.file-:.. 4 4

., 14 4

. 1P,..1. il.

t :--r.tg ......

.-r-r...

-! .04

- - - %

S. -. 4 v ''

- ..,..e e. . e 4.. -- .- . ..-

. ... -..-.. .

g 4 r. .._ .

.$

.

,-

,

I.

- 0 4-. 7 r 4. a-.

.- i

rA- 4- 4. 404

r .......

. r. --

4.--... r

1

-r-- 4- 4 . Ir.I. , -

3. The manipulated variable is

The responding vari.able

4

3

4

Page 9: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

-4..

Pattern A

f

'Pattern B

4

Pattern C

To

e

No pattern 4s symmetrical with respect'to a'line.A

Symmetrical and nonsymmetrical patterns are 'distinguished b\o-

Page 10: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

ftf

5.

4

A

-0.-

Obseryationsthat support inference Aw

Observat4,ors that support Infemnce B:,11.

4

7. The rule for determining the time rate of change of a property or , A

position o'f. 01 object is:

8. A.

4.444

Page 11: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

a

A

9.

.

.g0.1i1iters

-.45

40

35

of bas 30Given OffEach Minpte.by Cultureof Yeast

i5

20

15

10

5

10. A.

a.

?

4

Olume of Gas Given Off Each Minute by Yeast4 Cultures Grown At Different Tempera fes

...

..

.Ilk q...

*

- . - .

r.*

. . ..

.

X

f-

_ .

, .

h

4.4-4--- -&-a mr- e

.

. - .

.

.

....4... .g

. -1

I, 0

.....

. ..It

. .

. .

.

'1 '/'/

r.

t It

.

r

...- , ! .

-

.. .

.. ..-.....

. .

...........

,

... . .

t

1

.

.

. ...de ...

4

...

.

.....41

4.- 4 -.4 11

. .... ....

.

. .

.

.

.

. . .

'10 20 30 40 50 60'. 70! 80 90. 100

Temperature in C°

1.0

Most relrable

Bdsis for the above orderecrsequence(

I.

1L

Least reliable

a

e

12. Check the appropriite'boxe6:

Support 4-he Do Not SupportSiatement" the Statement

.

a.

1 4

116T-5.

# I /

Data in Row B

n Row

Data "Row C

Data i n Row IC

/a

.41

,

Page 12: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

a

13. DesCription of. Item N

4

4

at?

3,1 u

A

ag

so.

14. A. Obseryation

5. Observation

C. ObservatIon

D. ObservatiOn

E. 'Observation

F. Observa/tfon

15. A% Diameter in 'millimeters

B. Height in decimeters

Inference Neither

Inference Neither

Inference Neither

i-

lhference Neither

rnfere9ce

Inferehce.'

Neither

4

C. VoluMe of water in li+ers

16. Test pf'the injere

Martipulated variable is

Responding varrabJe is

6

Variable held constant are

Page 13: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

4 a

17. Revlied h pothesis:.-

Length-

.'

Vó)une

at

. - , ai

17

-

".

,

-r

441

4.

4

13

a

w

V 1:

'a ,

t .

4

Page 14: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

Ale

a

4.44 44

-

k/E4CE4PROCESS*-MEAS* 2 FIPPM eIXY TO 'RESPQN5E'SHEET

. .

1. All 'statements should be.correctly identified. .

Inference Hypothesis *.....

,. .

, 1

. The-

tires on4his. Stingray bicycle. .

C:]. wear outsfast.-because the wheels.are

\ ..

..,.., srnal 10 7.,-. A

, ,Snall'stirps wear out faster than. .

. 0 %ee

I lArge tires'.. ' '. .

.

.., A'Itge that is green in

/4'winter has'

.

,,A '0. '' .

D' -

,,

. . n;).edle. .

4.

4.

Ss E%-

ii4.1;' tree ilalea;.res instead of needles

so. it will not be green next winter..

2. All of\these crlteria Tust be met fiar an.acteptable respdnse:

1. Labeling-of both axes

2. CIO, .0) .at the intersection' of the. axes.

3. Equal intervals feN honit along an aids., . e '

4 4'

4. --;Approximately cdFrect%locati'on "If five of th6 six/points

a

BrakingDistance,

41/4 meterst

10 20 30 40 50 60 70 &O

Page 15: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

. .

The manipulated var:iaple is' the qcped. The,respondi.ng variable.is 146brakkig distance.

..p

, "/

BOth vari,a s must be correctly named for an acceptable response.

4. For dn aeceptable.responge, only 0;tetermillA,and B.should be'checked,'and the description should include a statement about foldflig the"..cONout,figures to see whether they have matching.halveS.

4 50 For an acceptable response ttle classification scheme should permit. .

.

the identification of all eight cipildr'en. 'For exempre: .

....

..

411

m,

Born be'fore- June 30

0 4

12 dm tall

j, n

12 dm tall

I, o#

Born after June 30

k, m, p, 1

1,2 dm ta'll

q

12 dm tall

7 3

siblingsJohn

0-3siblingsLarry

siblingsOscar

0-A

uentin

7 3

siblinsKarl 11"

0-3siblingsMark

r" 3

siblingsPaul

6. Observations A 'and C support 'Inference A.

Observations B and D support Inference B.

The fime,rate of change of a property or position of an objectbY the amOunt of change divided by the time it took

ftYr the_charTe to-occur.

Page 16: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

.3

) .

8. A. 5m/second

)3, 10 revolutions/second

9. Both of the following are reqvired for an acceptable response:'

1. .An "X" over one of the s91.1d plack circles..

2. An,arrow.poini-ing at any point bletween.the,solid black'circLes.

jC. Both.of the following are requlred for an acceptable re9p6nse:

A. Approxiinately

B. .40 ml/minute.

11. An-acceptalfle response consists of a statement of the reasons, foe thesequdnce that is consistent w-ith the sequence shown.

12. Support the Do Not SupportStatement the Statement

E

L

Data in Row A

Data in Row B

Data in Row C

DAta in Row D

13. The description should permit correct identification'df Item N for tnacceptable response.

14. . A. Inference

8. Oservation

C. Observation

D. Observation

E. Inference

F. Inference

1

6

Page 17: a Science Pr4cess Measure imte#chers. · Before you administer the Science Process Measure, place ofl your desk or on a large table the following 1,tems far the teachers to use as

4

f 4a

15. All thrpe eStFmations should be within the range of actual maadremenf'

+ 25%. Tor example,if the actual volume is 2.4 liters, any estinatiorpl

-fnam 1;8 to 3.0..litgrs would" be acceptable.1

16. An acceptable response consists of.correctly namingi-he manipulated and

riaslponding variables afitd"at least two varLables held constant, such as:

.Man!pulated variable - shape -of potatg

-Responding%riablla -.nate of lossipfmoiSture

Variables held tonstarit .1- tee of potato,temperatu0e

size-of pieceswhefher or not a piece has skin on Ft

417. Any hypothesip'about air bubbles rising in liciuids 9f differa4

temperatures Is acceptable.1

18. The two mieasurementg should be approximately named. Both the numaral

and unit should be.specified for each measureMant focan acceptable

response.

p.

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