detailed lesson plan

1. A Detailed lesson Plan in
Mathematics 8
(Pascal, Fermat)
I. Objectives
At the endof a 60-minute lesson,the studentsshouldbe able to:
A. define probability;
B. determine the numberof occurrence of an event;
C. solve simple problemsinvolvingprobabilityof events;&
D. showappreciationonhow the likelihoodof aneventhelptheminmakingdecisions.
II. SubjectMatter
A. Topic:Probabilityof anEvent
B. References: Grade 8 MathematicsLearner’sModule byDep.Ed,pp.562-585.
LearningProbabilitywithTechnology&Manipulative from
education.brainpop.com
Math User’sHandbookby Creative Publications,pp.240-251.
C. Materials:Printedmaterials,dices,snake&ladderboardgame,candies,container,
spinner,flashcards,multi-mediapresentation,coins
D. Skillstobe developed:determining,solving,defining
III. Procedure
Teacher’s Activity Learners’ Activity
A. DailyRoutine
1. CustomaryGreetings
Goodmorningclass
Greetyourclassmatestoo.
2. Prayer
Kelly,mayyouleadustoa prayer.
Before takingyourseat,pick-upthe piecesof
paperunderyour deskandarrange yourchairs.
Classsecretary,isthere anyabsenttoday?
B. Motivation
Nowclass,are you familiarwiththe game
namedSnake & Ladder?
Andare youalsofamiliarwiththe movie
entitled“Game of Thrones”?
Sotoday,we will playSnake andLadderwith
: Good morningma’am!
: Good morningclassmates!
: (Kellywillleadaprayer.)
: (The studentsdoas told)
: None ma’am
: Yes ma’am
: Yes ma’am

2. the twistof Game of Thrones. WhenRobert
Baratheon,the kingof the sevenkingdomsdied.
We have here a chips,thisisDaenerysTargaryen
and StannisBaratheon,theywanttoclaimtheir
rightson the throne.Theywantyou to be their
armies.Theyneedyourhelptoreachthe king’s
landingwhere the throne is.The one whohasa
fire ontheirname tags will be the armyof Stannis
Baratheonand the one whohas a dragon on their
name tags will be the armyof DaenerysTargaryen.
Thisside will be Targaryen’sarmies(pointtothe
right) and thisside will be Baratheon’sarmies
(pointtothe left). Now,goto your respective
groups.
Settle downclass.
The mechanicsof the game is simple.Would
youmindto read,Nemuel?
Thankyou,Nemuel.
Didyouunderstandclass?
Are youready?
Let’ssee whowill winthe throne.
Nowletusstart our game.
“Shake”…“rattle”…and “roll”
Let us clapfor ourselves.
C. Presentationof the Lesson
:(The studentsdoas told)
Mechanics:
1. Each groupis composedof 11 members.
2. Each groupwill be givenadie.
3. When the teachersays“shake”,one
representative of eachgroupwill have shortquick
movements,whenthe teachersays“rattle”,the
representative will have tobe readyandsteady,
and whenshe says“roll”,the representative will
roll the die fromeach group.
4. Anotherrepresentative willmove theirchip
accordingto the numbershownbythe die after
rollingit.
5.If the chipstopsat the footof the ladder,it
meansthat the chipwill move upwardfollowing
ladderbutif the chipstopsat the headof snake,
the chip will godowntoits tail.
6. Afterthe 2 representativesfromeachgroup,
another2 representativesfromeachgroupwill do
the same.
7. The groupwho will reachthe finishlinefirstwill
be declaredasthe winnerandclaimtheirprize
later.
: Yes,ma’am.
: Ready
: (The studentsplaythe game)
: (The studentdoas told)

3. Howdidyou findthe game we played,Karen?
What lessonshave youlearned?
What didyounotice onrollingthe dice?Fred?
Excellent!
Howmany facesof the dice dowe have?Alvin?
Verygood.
All you’ve saidearlierhassomethingtodowith
our topictoday.(The teacherrevealsthe title).Will
youread it,class?
D. Developmentof the lesson
Suppose we have here two 1-pesocoins.What
are the possible outcomeswe cangetin flipping
the coinstogether?Will yougive usone?
Angelito?
Will youshowusthat outcome usingthese 2
coins?
VeryGood,Angelito.
Anotheroutcome,Lorena?
Will youshowus?
That’sright.
Anotherone?Rio?
Kindlyshowus?Rio?
Brilliant.
Are there some more?Yes,Marie?
Amazing! Isthere still anyotherpossible
outcome?
Now,howmanypossible outcomesdowe have
inflipping2coins?Joezer?
VeryGood!
What isthe probabilityingetting2heads?
Roselle?
Howdidyou getyour answer?
That’sright!
Let’shave anotherproblem.
Inthiscontainerthere are 15 differentcolored
candies,3 are red,7 are blue,and5 are yellow.
Rosemarie wantstopicka red candyfrom itand
she needsourhelptoknowhow manychances
: The game was veryfunand excitingma’am.
: Winningthe game isonlyby chance ma’am.
: Whenrollingthe dice,we canonlyget one result,
ma’am.
: 6 faces,ma’am.
:The Probabilityof anEvent
: Head and Tail,ma’am.
: (Angelitodoastold)
: Tail & Tail,ma’am.
: (Lorenado as told)
: Tail & Head,ma’am.
: (Riodo as told)
: Head & Head,ma’am.
: None,ma’am!!
: 4 ma’am.
: 1/4 ma’am.
: Since we have onlyone chance in getting2 heads
out of 4 outcomesma’am.

4. she has to geta redcandy.
What doyou thinkisherchance of gettingred
candies?
That’sright!But is thatalreadythe final
answer?Nhorielyn?
Whydo yousay so?
Amazing!!
Howabout gettingred&yellow candies?
Michelle?
VeryGood!!
Now,basedonthe givenproblemswe cannow
define if whatisprobability,whowantstoshare
her/hisidea?Abigael?
Nice idea!
Now,we have here adefinite meaningof
Probability.(reveal the definition).Will youreadit,
Rio?
Fromthe givenexample awhile ago,whowants
to compose a formulaongettingthe probabilityof
an event?Dishelle?
ThankYou. Nowlet’ssee if she iscorrect.
(reveal the formula)
Wonderful!Whatabrilliantmind.
Ongettingthe P as the eventisequal tothe
numberof favorable outcomesoverthe
numberof all possible outcomes.Actuallythisis
howwe arrivedon our answera while ago.
E. Application
Let’ssee if youalreadyunderstandourtopic
today.
Let’shave an activityandwe will call it“Play&
Spinme correctly”
Your groupwill be seenunderyourdesk.
Before youwill gotoyour respective groups,will
youread the mechanics,Sharon?
: 3/15 ma’am.
: No ma’am.It shouldbe 1/5.
: Because we can still simplifyit,ma’am.
: 8/15 ma’am.
: Probabilityreferstoa chance or possibilityof
gettingthe possible outcomefromanevent,
ma’am.
:Probabilityisabranchof mathematicsthatseeks
to studyuncertaintyina systematicway.Itisa
measure orestimate of the likelihoodof anevent
happening.
: Probabilityof aneventisequal tothe numberof
outcomesoverthe total numberof outcomes.
Mechanics:
1. As the teachersays“play”she will spinthe
spinnerand getthe question onthe windowsof
the palace writtenona card dependingonthe
colorwhere the arrow points.
2. ColorRedis for“House of Lannister”,color
yellow isfor“House of Baratheon”,colorgreenis
for “House of Tyrell”andcolorBlue isfor“House of
Stark”.
3. The teacherwill readthe questionandstudents

5. Now,all whogota card of House Lannisterwill
be the group1 and go to the leftside, while the
otherswhogot House Baratheonwill be the group
2 and goto the rightside, andwhogot the card of
House Tyrell will be the group3 and theywill stay
at the backof group1 while the otherswhogot
the card of House Stark will be the group4 and
they will stayat the back of group 2. (the teacher
will distribute the flashcardandchalkof each
group).
Are youreadyclass?
Let’sstart “Play& Spinme”.
“Play”…“Stop”… “Pak Ganern”
Red( Card of House Lannister)
-The probabilityof gettingan11 whenspinninga
spinnerdividedinto12equal divisionsnumbered1
to 12.
-The probabilityof gettinganevennumberfrom
the set of countingnumbers.
-What isthe probabilityof gettingaheartfroma
deckof cards?
-Ina classof 24 boysand 15 girls,one studentis
chosenat random.What isthe probabilitythatthe
studentchosenwill be agirl?
Blue ( Card of House Stark)
-The probabilityof beingchosentodoyour oral
reportfirstif your teacherputsall 25 studentsina
bag and draws.
-The probabilityof drawingablue marblesfroma
bag containing4 redmarbles,12 greenones,9
blue marblesand2 yellowmarbles.
Green( Card of House Tyrell)
-A card isdrawnfrom a well-shuffleddeckof 52
will write the answerontheirflashcardgivento
them.
4. As the teachersays “stop”,the studentswill
stopwriting.
5. As the teachersays “PakGanern”, eachgroup
will raise theirflashcardwiththeiranswerswritten
on it. Make sure your answerisinsimplifiedform.
6. The groupthat will notraise theirflashcardin
the exacttime,theiranswerwill notbe accepted
evenif itiscorrect.
7. Whoevergets the correct answerwill get1
point.
8. The groupwho has the highestpoint willbe the
winnerandclaimtheirprize later.
: (The studentsdoastold)
: Yes,ma’am.
: (The studentsdothe activity)
: 1/2
:1/2
:1/4
:5/13
:1/25
:1/3

6. cards. What isthe probabilitythatthe carddrawn
isan evennumber?
-The probabilityof gettingablue gumball outof
the machine if there are 25 each of green,yellow
and blue gumballs.
-The probabilityof gettingaprime number inthe
spinner.
Yellow(Cardof House Baratheon)
-Youdraw a card froma deckof cards and then
put itback, and thenyoudraw anothercard. What
isthe probabilitythatyougeta spade andthena
heart?
-If youtoss a coin 48 tiesandget 26 heads.Whatis
the probabilityof gettingahead?
-A spinnerisdividedequallyandnumberedas
follows:1,1,2,3,4,1,1,2. What isthe probability
that the pointerwill stopatan oddnumber?
Andthe winnerisgroup !!! Let’sclap for
them.
F. Valuing
We have here fourballoonsfromyour
respective kingdoms,youneedtopopitout to get
the rambledwordsinside itandarrange themto
knowwhattheirmessage toyou. Is it clear,class?
(distribute the balloonsineachgroup)
Askone representative fromyourgroupto post
the message thatyou formedonthe board.
Now,Each representativewillgive atleastone
sentence abouttheirideasonthe message.
Let’sstart fromgroup 1, the House of Lannister.
Nextisfromgroup2, the House of Baratheon.
Followedbygroup3, the House of Tyrell.
Last butnot the leastisgroup 4, the House of
Stark.
Excellent!Let’sclapforourselves.Infact,
“Probabilityisthe veryguide of life”comesfrom
:5/13
:1/3
:5/12
:1/6
:13/24
:5/8
: (The studentdoas told)
: Yes, ma’am.
:(Each representative fromeachgroupwill post
the message theyformedonthe boardat the
same time)
“Probabilityisthe veryguide of life”.
: Probability leadsourwayinthe rightdirectionif
we have many choicesinlife.
: Probabilitycaninfluence usinourlife where in
choose the optionswhogetsthe highest
probabilityforyou.
: Probabilityhelpsustooversee the chancesof a
thing,the waywe think,itgivesusinformationor
hintif we choose it or not.
: Probabilityisjustlike adevice thatassistsuson
our rightdestinationorrescue usif we are
confused.

7. Cicero.SayingthatProbabilitycanhelpusin
makingdecisions.Considerthat option1 hasa
lowerprobabilitythatoption2but option3 has
the highestprobabilityamongthem.Therefore,
we will choose option3whichhas the highest
probabilitytogainsuccessin yourdecision.
G. Generalization
Now, fromwhatwe discussedawhile ago.
What isthe meaningof Probabilityagain,class?
Yes,Kelly.
Excellent!And howaboutthe formulaingetting
the probabilityof anevent?Yes,Sharon?
Verygood.
Howcan probabilityhelpusinourdailylife?
Roselle?
Verygood.
IV. Evaluation
It seemsthatyoureallyunderstandourlesson
today.Then, let’shave some exercises,bringout¼
sheetof paperand answerthe following
questions.Make sure yourfinal answerisinlowest
term.
1. Ma. Visitacionisaskedtochoose aday froma
week.Whatisthe probabilityof choosingaday
whichstart withS?
2. If one letterischosenat randomfromthe word
TRUSTWORTHY, whatis the probabilitythatthe
letterchosenisa consonant?
3. The facesof a cube are numbered11 to 16. If
Luringrolledthe cube once,whatis the probability
of rollingacomposite number?
4. Of the 45 studentsina class,25 are boys.If a
studentisselectedatrandomfora fieldtrip,what
isthe probabilityof selectingagirl?
5. What is the probabilityof gettingan8 froma
deckof 52 cards?
Letus nowcheck,exchange paperswithyour
seatmate.
Countthe numberof the correct itemsandpass
it forward.
V. Assignment
: Probabilityisaboutgettingthe possible outcome
froman event.
: P is equal tothe numberof favorable outcomes
overthe numberof all possible outcomes.
: It helpusin makingdecision,ma’am.
: 2/7
: 9/11
: 2/3
: 4/9
:1/13
: (The studentswill doastold)
: (The studentswill doastold)

8. Now,bringoutyour assignmentnotebookand
copy yourassignment.
Yahtzee isa dice game where 5 dice are thrown
a. What isthe probabilityof rollinga6 on all
five dice?
b. What isthe probabilityof rollingthe same
numberonall five dice?
c. What isthe probabilityof rollingnoteven
one pair with5 dice?
Goodbye,class.
: P=1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6
=1/6^5
=1/7776
: P=6 x 1/6^5
= 1/6^4
=1/1296
P= 6 x 5!
=120/1296
=5/54
: Goodbye,ma’am!