Math and Science Summer Assignments Please note that you may

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Math and Science Summer Assignments
Please note that you may skip # 6 on the third page (6. Short Response) if you are
unable to read it.
The ScientificMethod and Mathematics
SummerAssignment- RisinggthGraders
I. AIMS: SWBAT
L. review steps of the scientificmethod
2' apply the scientificmethod and use criticalthinkingto solveword problems
3' review mathematicalcornputation:operationswith fractions,
decimalsand integers
4. measurestudent'sabirityto computemathword probrems
5' usefractions,
decimals
andintegers
in solvingandanalyzing
mathproblems
6' reada passage
on the scientificmethod,andusecriticalthinkingto answerquestions
7' completea projectthat involvescreatinga problemthat is solvedusing
the scientific
method
II. RESOURCES:
Websites:
http://www.sciencebuddies.org/science-fair-projects/project_scientific_method.shtml
http://panpipes.net/edit6ZO0/
Texts:
Handouts:ScientificMethod Passage
/ Mathworksheets(Mixedproblemsolving& ReviewGames
& Activities
III.ASSIGNMENTS:
l.
Reviewof the ScientificMethod
studentswill readthe attached'passage
on the scientificmethodand usecriticalthinkingskillsto
answerquestions.
2. ApplyingScientificMethodin sotvingMath probteins
studentswiltcorypletemathworksheets:1 Math GameReview problem
&2
solvingsheets(apply
the scientificmethodandSHOWALLWORKIII)
3. Reinforcement:
will createandsolvea problemusingthe scientific
Students
method.Thesolutionwill be presented
asa comicstrip{minimumof 2 pages),
flrTer,
newspaperad, skit{minimumof 2 pages)or
commercial,
persuasive
essay.- Studentscreatetheir own problem.BECREATIVE
!
4. FormalAssessment
by Math & Science
Teachers
Students
will completeQuiz- Startof Schoolin September
What is the scientificmethod?
you have
If you haveeverseensomethinggoingon andwonderedwhy or how it happened,
starteddown the roadto discovery.If you continueyourjoumey, you arelikely to guessat some
of your own answersfor your question.Even furtheralongthe road you might think of ways to
find out if your answersarecorrect.At this point, whetheryou know it or not, you arefollowing
a path that scientistscall the scientificmethod.If you do someexperimentsto seeif your answer
is correctandwrite down what you learnin a report,you havepretty muchcompletedeverything
a scientistmight do in a laboratoryor out in the field whendoing research.In fact,the scientific
methodworks well for many thingsthat don't usuallyseemso scientific.
Read the passagebelow and then answertbe questionsthat follow.
The flashlightmystery...
Like a crime detective,you canusethe stepsin the scientificmethodto find the answerto
everydayproblems.For example,you pick up a flashlightandturn it on, but the light does not
work. You have observedthat the light doesnot work. You ask,"Why doesn'tit work?" With
what you alreadyknow aboutflashlights,you might guessthat the batteriesare dead. You sayto
yourself,if I buy new batteriesandreplacethe old onesin the flashlight,the light shouldwork.
To test this, you replacethe old batterieswith new onesfrom the store.You flip the switch on.
Doesthe flashlight work? No?
Questions
l. Identify the stepsof the scientificmethodby writing the sentenceand statingwhich stepit is
addressing.
2. What elsecould be the answer?
3. If this were a scientific project,you would alsohavewritten down the resultsof your tests
and a conclusionof your experiments.Give an exampleof the conclusionin the passage
above.
Date
Name
Problem Solvi,ng WoEkshop:
Mixed Problem Solving
t. Multi€tep Problem-Whilewalkingaround
the mall, you noticedthatthe movie storeis
advertisingthe latest.moviereleaseon DVD
for $17.99.You buy themovie andpay
$19.07,becausesalestax was aildedto the.
purchaseprice. How much is the salestax?
("
.Apizzashop'smenuis
6; Short Response
shown below.
copyand completethe verbalmodel:
= Total cost
Price+
b. Substitutenumbersand variablesin the
verbalmodel to write an algebraicmodel.
c. Solvethe equationfrom part O) to finh
the amouniof salestax.
2. Multl€tep Problem You and your ftiends
decideto have a submarinesandwichsaleas
a fundraiserfor $e schoolband.You spend
$83 on suppliesarldcharge$5 per sandwich.
At ttreend of thr p.uyyour profit is $962.
How manysandwichesdid you andyour
'friends
sOll?
a. Write a verbalmodel.
b. Translateyour verbalmodel into anl
algcbraicmodel.
c. Solvethe equation.
d. .Check'thatyour answeris reasonable.
testt
3. Short Response For a standardized
350 #2 pencilswill be neededto distribute
3 pencilsto every eighth grader.Ifone box
contains12 pencils,how many boxesof
pencilswill.be neededfor the standardized
.
test?Write and solve a multiplication
equationto answerthe question. '
4. Short Response The.disc jocltey {or the
schooldancecharges$100 per hour for 3
hoursplus $50 for each additional
,20 minutes.If the disc jockey sendsa bill
for $450,how many additionalminutesdid
the discjockey continueto play pastthe first
3 hours?
The price of alargepiz.z.ais $18.00.Write
and solve.anequationto find how many
additional toppings were ordered.
7. .Extended Response A cell phoneplan
consistsof a monihly chargeof $39.99with
the first 200 minutes free eachmonth. An
'
additional charge of $.05 per minute occurs
for eachminute over 200. The bill last
month was $85,99.How many additional
. .minuteswere usedover'thefirst 200?
a. Readthe problem.What is the main idea?
What do you know andwhat do You need
to find?
, b.. You can use the eQuation
39.99+ 0.05n = 85.99to find.the
numberof additionalminutesused over
the first 200. Solve the equationand
checkyour answer.
8. Grldded Answer The eighthgradeclass
receivedsurveysregardingInternet access
in their homes.Thiee-fourths of the eighth
to the lnternet in their
gradeclasshas.access
homes.If t20 studentshave accessto the
Internet"how many studentsare in the eighth
gradeclass?
E
5, OperEnded Write two different two-step
equationsthat both have 7? as d solution.
46
McDougatUttell Math, Courso3
Chapter3 Resdrrce,Book
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copyrr
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Date
Real-World Problem Solving
Student Council
In many schools,the studentcouncil sponsorsolrr"r"n, typesof eventsduring a
schoolyear. The councilusually\as a budgetto manage.Sornr studentcouncils
evendo fundraisersthroughoutthg year to help fund studentcouncilactivities.
Use ihe following Information ln Exerclses 1-5.
conner is thebeasurerof his school'sstudentcouncil.At the.firstmeeting,
'the
studensdecidedon a variety of activitiesthey would like to sponsorin the
upcomingyear.Connerhasto decidewhetheror not all the activitieslfit into the
budget.The budgetfor this year is $200 without any fundraisers.Theseare the
activitiesthe studentcouncil would like to sponsor:
1, Peprally wittr pompomsfor all the studens
2...A float in the high schoolhomecomingparade
..
3. Collect cannedgoodsfbr the local food bank
4. A schoolcleanupday
' As Conneranalyzedthe list, he decidedit would be easyto estimatea cost for
solneofthe activities.The schoolcleanupday andcollectingcannedgoods '
w0uldn't be very expensive.They neededgarbagebagsandposters.
Connerdecidedto budget$14 for the cannedgoodscollectionand $30.for school
cleanupday. Connerthendecidedto spligthe remainingmoneyevenlyberween
the pep rally andthe float.
1. write andsolvea two=stepequationto find how much moneyis budgeted
for the pep rally. .
2. How muchmoneyis budgetedfor the float?
For the pep rally, the,studentcouncil wants to buy pompomsfor all the
studentsin the school.The pompomscost $.10 each.They alsoneedto spend
$12 on posters.
3. How manypompomscan the studentcouncil purchasewith the anount
budgeted?
4. Will'there be enoughfor 800 students?
5. How rnuchmore moneydoesthe shrdentcouncil ne,edfor pompoms?
Cop{igtt@McEougat
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MifflinCompany
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Chapter Review'Games and Activities
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!i!'
Math Bingo
Useyour answerto geta bingo.Chooseandsolveany one of the 20 pioblems.
Look for your answeron the Math Bingo card.If it's there,place an X over it.
Whe.nyou have4 X's in a row, horizontally,diagonallyor vertically, you have a
MathBingo!For morbfun, play with a panner.Whoevergetsa bingofirst is the
winner!
.
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tn Exercises 1:7-20, use the followlng data. -8, 7, 5, -10, -3, 9, -9, 5
17. Find themean.
18; Find themedian.
19. Find the inode.
2O'. Find the range.
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MbDougal Uttell Math, Gourge 3
Chapter5 Resource
Book
tjtelyHoughtonMlfnirCompany
@ McDougal
Copydght
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All righB reserved.
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