G6 m3-mid-module assessment2

Module3: Rational Numbers
Date: 8/12/22 121
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6•3
Mid-Module Assessment Task
NYS COMMON CORE MATHEMATICS CURRICULUM
Name Date
1. The picture belowisa floodgauge thatis usedtomeasure how far (infeet) ariver’swater
level isabove orbelowitsnormal level.
a. Explainwhatthe number0 on the gauge represents,andexplainwhatthe numbersabove
and below0represent.
b. Describe whatthe picture indicatesaboutthe river’s
currentwater level.
c. What numberrepresentsthe opposite of the waterlevel showninthe picture,andwhere isitlocated
on the gauge? What woulditmeanif the riverwaterwasat thatlevel?
d. If heavyrain isforecastfor the area forthe next24 hours,what readingmightyouexpecttosee on
thisgauge tomorrow? Explainyourreasoning.
River Water
0
-0.5
-1.0
-1.5
-2.0
-2.5
-3.0
-3.5
0.5
1.0
1.5

Date: 8/12/22 122
6•3
2. Isaac made a mistake inhischeckbook. He wrote a check for to renta videogame butmistakenly
recordeditin hischeckbookasan deposit.
a. Representeachtransactionwitharational number,andexplainthe difference between the
transactions.
b. On the numberline below,locate andlabel the pointsthatrepresent the rational numberslistedin
part (a). Describe the relationship betweenthesetwonumbers. Zeroonthe numberline represents
Isaac’sbalance before the mistake wasmade.
c. Use absolute value toexplainhowadebitof and a creditof are similar.
0

Date: 8/12/22 123
6•3
3. A local park’sprogramscommittee israisingmoneybyholdingmountainbikeracesona course through
the park. Duringeach race,a computertracks the competitors’locationson the course usingGPS
tracking. The table shows howfareach competitorisfroma checkpoint.
Number Competitor Name Distance to Check Point
223 Florence mile before
231 Mary mile past
240 Rebecca mile before
249 Lita mile past
255 Nancy mile before
a. The check pointisrepresentedby0on the numberline. Locate andlabel pointsonthe numberline
for the positionsof eachlistedparticipant. Label the pointsusingrationalnumbers.
b. Whichof the competitorsisclosesttothe checkpoint? Explain.
c. Two competitorsare the same distance fromthe checkpoint. Are theyinthe same location?
Explain.
d. Who iscloserto finishingthe race,Nancyor Florence? Supportyouranswer.
0
Check Point

Date: 8/12/22 124
6•3
4. AndréaandMarta are testingthree differentcoolerstosee whichkeepsthe coldesttemperature. They
placeda bag of ice ineach cooler,closedthe coolers,andthenmeasuredthe airtemperature inside each
after minutes. The temperaturesare recordedin the table below:
Cooler A B C
Temperature (ᵒC)
Marta wrote the followinginequalitystatementaboutthe temperatures:
AndréaclaimsthatMarta made a mistake inherstatementandthatthe inequalitystatementshouldbe
writtenas:
a. Is eitherstudentcorrect? Explain.
b. The studentswantto finda coolerthat keepsthe temperatureinside the coolermore than degrees
belowthe freezingpointof water( ) after minutes. Indicate whichof the tested coolers meets
thisgoal and explainwhy.

Date: 8/12/22 125
6•3
5. Mary managesa companythat has beenhiredtoflattenaplotof land. She tookseveral elevation
samplesfromthe landandrecordedthose elevationsbelow:
ElevationSample A B C D E F
Elevation
(feet above sea level)
a. The landownerwantsthe landflatandat the same level asthe road thatpassesinfront of it. The
road’selevationis feetabove sealevel. Describe inwordshow elevationsamplesB,C,andE
compare to the elevationof the road.
b. The table belowshowshowsome otherelevationsamplescompare tothe level of the road:
ElevationSample G H I J K L
Elevation
(from the road)
Write the valuesinthe table inorderfrom leasttogreatest.
_________ _________ _________ _________ _________ _________
c. Indicate whichof the valuesfromthe table in part (b) isfarthestfromthe elevation of the road. Use
absolute value toexplainyouranswer.

Date: 8/12/22 126
6•3

Date: 8/12/22 127
6•3
Name Date
1. The picture belowisa floodgauge thatis usedtomeasure how far (infeet) ariver’swaterlevelisabove
or belowitsnormal level.
a. Explainwhatthe number0 on the gauge represents,andexplainwhatthe numbersabove
and below0represent.
b. Describe whatthe picture indicatesaboutthe river’s
currentwater level.
c. What numberrepresentsthe opposite of the waterlevel showninthe picture,andwhere isitlocated
on the gauge? What woulditmeanif the riverwaterwasat thatlevel?
d. If heavyrain isforecastfor the area forthe next24 hours,what readingmightyouexpecttosee on
thisgauge tomorrow? Explainyourreasoning.
River Water
0
-0.5
-1.0
-1.5
-2.0
-2.5
-3.0
-3.5
0.5
1.0
1.5

Date: 8/12/22 128
6•3
2. Isaac made a mistake inhischeckbook. He wrote a check for to renta videogame butmistakenly
recordeditin hischeckbookasan deposit.
a. Representeachtransactionwitharational number,andexplainthe difference betweenthe
transactions.
b. On the numberline below,locate andlabel the pointsthatrepresent the rational numberslistedin
part (a). Describe the relationship betweenthesetwonumbers. Zeroonthe numberline represents
Isaac’sbalance before the mistake wasmade.
c. Use absolute value toexplainhowadebitof anda creditof are similar.
0

Date: 8/12/22 129
6•3
3. A local park’sprogramscommittee israisingmoneybyholdingmountainbikeracesona course through
the park. Duringeach race,a computertracks the competitors’locationsonthe course usingGPS
tracking. The table shows howfareach competitorisfrom a checkpoint.
Number Competitor Name Distance to Check Point
223 Florence 0.1 mile before
231 Mary mile past
240 Rebecca 0.5 mile before
249 Lita mile past
255 Nancy mile before
a. The check pointisrepresentedby0on the numberline. Locate andlabel pointsonthe numberline
for the positionsof eachlistedparticipant. Label the pointsusingrationalnumbers.
b. Whichof the competitorsisclosesttothe checkpoint? Explain.
c. Two competitorsare the same distance fromthe checkpoint. Are theyinthe same location?
Explain.
0
Check Point

Date: 8/12/22 130
6•3
d. Who iscloserto finishingthe race,Nancyor Florence? Supportyouranswer.
4. AndréaandMarta are testingthree differentcoolerstosee whichkeepsthe coldesttemperature. They
placeda bag of ice ineach cooler,closedthe coolers,andthenmeasuredthe airtemperature inside each
after minutes. The temperaturesare recordedinthe table below:
Cooler A B C
Temperature (ᵒC)
Marta wrote the followinginequalitystatementaboutthe temperatures:
AndréaclaimsthatMarta made a mistake inherstatementandthatthe inequalitystatementshouldbe
writtenas:
a. Is eitherstudentcorrect? Explain.
b. The studentswantto finda coolerthat keepsthe temperatureinside the coolermore than degrees
belowthe freezingpointof water( ) after minutes. Indicate whichof the testedcoolersmeets
thisgoal and explainwhy.

Date: 8/12/22 131
6•3
5. Mary managesa companythat has beenhiredtoflattenaplotof land. She tookseveral elevation
samplesfromthe landandrecordedthose elevationsbelow:
Elevation
Sample
A B C D E F
Elevation
(ft above sea level)
a. The landownerwantsthe landflatandat the same level asthe road thatpassesinfront of it. The
road’selevationis830 feetabove sealevel. Describe inwordshow elevationsamplesB,C,and E
compare to the elevationof the road.
b. The table belowshowshowsome otherelevationsamplescompare tothe level of the road:
Elevation
Sample
G H I J K L
Elevation
(from the road)
Write the valuesinthe table inorderfrom leasttogreatest.
______< ______ < ______ < ______ < ______ < ______
c. Indicate whichof the valuesfromthe table in part (b) isfarthestfromthe elevationof the road. Use

Date: 8/12/22 132
6•3
absolute value toexplainyouranswer.

G6 m3-mid-module assessment2

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