TITLE
Venn Diagrams& LJKBasketball
Cube Fellow: Amy Heilman
@.
TeacherMentor: Mark Hewson
To leamhow to applyvenndiagramsto real-worldsituations.
Grade and Course: 8frgrade- Algebra
KY Standsrds:
l. MA-084. I ' I Studentswill analyzeandmakeinferences
from datadisplays(drawings,table,/charts,
pictographs,
bar graphs,circlegraphs,line plots,Venndiagrams,line graphs,stem-and-leafplots,
scaner
plots,histograms,
box-and-whisker
plots.
2. MA -084.1.4 Students
will constructdatadisplays(Venndiagrams,
tables,line graphs,stem-andJeaf
plots,
circle graphs,scatterplots);explainwhy thetypeofdisplayis appropriate
for ttJaata andexplainhow
misleadingrepresentations
affect interpretationsandconclusionsaboutdataObiectives:
1. Studentswill be ableto collectdataanddisplayit in a VennDiagram.
2. Studentswill be ableto makeinferences
andconclusions
from thedatain a Venndiagram.
3. Studentswill be ableto locatethe correctregionon a venndiagramrepresentinga spicific pieceofdata.
Resources/materials
needed:
l. Handouts
2. calculators
Descriptionof Plan
1' Startclasswith the UK Basketballactivity. Draw a largeVenn Dagram on the boardandrecordthe class
data.Now, figure out who could be a suspectin the crime.
2. Next, starta discussion
aboutsetsandelements,
focusingheavilyonthe importanceofdefinitions.Go over
the definitionof setandelements.Do severalclassexamples.
. .usingstudentinput.
3. Next, havestudentswork in pairsto find the correctshadedregion for eachquestionon the handout.
4. Go overtheproblemsin class.
5. In closing,discussall findingsandhandout venndiagramquestionsfor homework.
LessonSource:
Instructional Mode: targe groupactivity, teacherleadexamples,partnerwork
DateGiven: 1119106
EstimatedTime:45-50minutes
Date Submittedto Alsebra3: l0l9l07
Form8-18-06
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VENN
DIAERAM
LEEiSEIN
l. UKactivity
a. Make sureeveryone'snameis writte,ndown only onetime!
b. Draw venndiagramon the boardandfill in thosenameswho havebrown
& straighthair
c. We will comebackto our diagramin a few moments....
But first
2. Discussionaboutsets& elements
a. Cananyonetell me what an integeris? (havea studentexplainit to the
class)
i. Give example
b. Cananyonetell me what wholenumbersare?(havea studeirtexplainit to
the class)
i. Give example
(is or is not)
is anelement ofthe set of integersand it
c. So
anelementofthe setofwhole numbers.
d. Doesanyoneknow what I meanby this?
i. Setis like a group of numbersthat are thesametypeof thing
(something
in cornmon)
ii. Elementis oneof the numbersin a set
Can
anyonethink of an exampleofthis?
e.
i. IS 5 an elementof the setof oddnunrbers?
F. Cansomeonenamean elementofthe setofprime numbers?
I. 13is an elementofthe primenumbers
G. you learnvery fast....
Elementof..... evennumbers,roundfruit, membersof the class(relating
backto UK activity)
3. Todaywe will be talking moreaboutsetsandwhat it meansto be an elementof a
set.
a. What ifl havetwo setsofnumbers,is it possibleforthe setsto have
elementsin common?Canan elementbe in both sets?
i. Yes....5is an odd andprimenumber
b. Great...soelementscanbe partof two setsat once. We candraw a picture
to help me visualizetwo setsthat shareelements.
o&d
.i
*
c. I put the 5 wherethe two circlesoverlap.Why do you think I did that?
i. So it couldbe in both circlesat the sametime
d. What shouldwe call thesecircles?
i. Sets
e. cananyonethink of anothernunrberthat I couldput in this diagram?What
aboutanodd numberthat isn't prime?
i. 9 - odd,but not primeb/c divisbleby 3
f GREAT... whatwe havehereis calleda VENN DIAGRAM.
i. Sometimesthey havetwo sets(circles)like ours,andsometimes
they havemore.
ii. Let's try andcreatea venndiagramw/ threecircles.
Now - venndiagramworksheet
Goat shadein the sectionofthe venndiagramthe elementbelongsin.
Examples:
!ntvl/d
**$*'gC
+
e-brs
..}
uheg.t-d-^t9)Poootf-rt^r'
Closure:Discussall findings
Go over vocabof set,element,andvenndiagram
Set: a setis a collectionofthings, withoutregardto their order
Element: a memberor anobjectin a set
Venn diagram: a diagramwheresetsarerepresented
assimplegeometricfigures,with
overlappingsetsrepresented
by intersectionsandunionsofthe figures.
Heup THE UK EaFKETEALL TEAM REtrEI\/ER THEIR
N trAA EHAMPICINBHIF TRETPHY FRETM I 99E|.
heodguorters.
LostweekPCMStooko field trip to the UKbosketboll
Duringthis
Thepoliceneedour helpin
visit,the 1998NCAAchompionship
trophydisoppeored.
norrowingdownthe suspectlist. Theyknowthot the suspecthodstroight brown
they foundotew piecesin the brokentrophycose.
hqir becquse
p We needto interviewmembersof the clossto find out whomightbe o
.suspect.
o fnterview everrlmanberof the clossondrecordtheir nomesin the
opproprioterqionin the diogrcmbelow.
. If they do not hoveeitherbrownor stroight hoir.their nqmebelongs
outsidethe diogrom,
but insidethe sguore.
. Everyone's
in the diogrom,ondonlyonce.6oodluck!!
nomemustoppe.ar
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HAIR
BROWN
BRCIWN &
i trtn. HEwsENts
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VennDiagrom
Questions
Nome
Dote
Pleose
onswerthe following
guestions
oboutsetsondVenndiograms.
t. Whqt is the diff erencebetweeno
Venndiogromwith |circles ondone
with3 circles?
2. Howcouldyouuseo Venndiogromto describelclossifythe peoplein
your closs?
3. fn your ownwords,describe a set. Whot is an element?
4. Did you hoveonytroublewith the venndiogroms?rf so, describethe
problemondexplainwhotinformotion
ollowedyouto be oble.fo
completethe problem.rf not,then write of ew wordsdescribingwhot
informotionis necessory
to do suchproblemsoccurately.