1st Grading - Elementary Functions

8/18/2019 1st Grading - Elementary Functions

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La Consolacion University PhilippinesCity of Malolos, Bulacan

BASIC EDUCATION DEPARTMENTScholastic Year 2013 – 2014

Understandin !y Desin Unit Plan

Unit Title Ele"entary #$nctions Quarter Unit Plan % & #irstCurriculum rea Mathe"atics I' Year !e"el #o$rth (ear#e"elo$e% &y Mr) Marco Rhonel M)

E$se!io Time 'rame *+ Days

STA,E %- Desired Res$lts & O$tco"esLEARNIN, STANDARDS-Content Stan%ar%(

The learner %emonstrates un%erstan%in) of the *eyconce$ts of the elementary functions an% itsa$$lications

+erformance Stan%ar%s(

The learner in the lon) term an% on hisher o-n, -ill&e a&le to %e"ise an% use mathematical functions tomo%el an% sol"e some real.life situations

End$rin Understandins .EU/s0 Essential 1$estions .E1/s0

• Some real.life situations can &e /uantie%,re$resente%, an% sol"e% usin) mathematicalmo%els such as functions

• 'unctions can &e com&ine% an% can &e

re$resente% in %ierent -ays

•

The characteristics an% &eha"ior of the )ra$h ofa function can &e $re%icte% throu)h its e/uation

• o- can "arious re$resentations of situationssuch as e/uations, ta&les, )ra$hs, an% others,hel$ us un%erstan% those situations

• o- can -e re$resent an% com&ine functions

• o- can -e %escri&e the &eha"ior an%

characteristics of the )ra$h of a function

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Trans2er ,oal

5 -ant my stu%ents to learn the conce$ts of elementary functions an% its a$$lication for real.life situations

3no4lede S5ills 'al$e InterationThe st$dents 4ill 5no4 the2ollo4in-

1 6elations an% functions2 o- to e"aluate functions3 7$erations on functions4 Com$osite 'unctions8 +olynomial 'unctions9 o- to n% for /uotient of

$olynomials: 6emain%er Theorem; 'actor Theoremra$h a $olynomialfunction

The st$dents 4ill "ani2est the2ollo4in-

1 Sense of res$onsi&ility2 Camara%erie3 #isci$line4 'amily Unity8 6elatin) $ositi"ely -ith others9 #istin)uishin) ri)ht from

-ron): @A$ressin) feelin)s -ith

others $ositi"ely; Com$osin) yourself


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STA,E 6- Assess"ent EvidencePer2or"ance Tas5- The stu%ents tas* is to i%entify the %ierent functions that each househol% is $erformin)

an% the $ersons $erformin) each function They ha"e to $resent the %ata in %ierent *in%s of eA$ressin)

functions an% &e rea%y for %efense

Per2or"ance Tas5 Description- The class -ill &e %i"i%e% into three to four )rou$s $resentation -ill &e ma%e to analy?e the %ierent functions

$erforme% in each househol% usin) the %ierent *in%s of eA$ressin) functions They must &e rea%y to ans-er

an% %efen% the /uestions an% i%eas $resente%

Evidence at the Level o2 Understandin- !earners shoul% &e a&le to %emonstrate un%erstan%in) &y co"erin) siA 9D facets of un%erstan%in)(

EXPLANATION

#iscuss the %enition an% characteristics of a function

Criteria- Clear, Coherent

INTERPRETATION#escri&e an% inter$ret $ro$erties of a function

Criteria- 5llustrati"e, Clear, Creati"e

APPLICATION

+erforms the %ierent o$erations an% $roce%ures inten%e% for function relate%

$ro&lems

Criteria- 6ele"ant, ccurate, $$ro$riate

PERSPECTIVE#e"elo$ insi)hts on $erformin) functions -ithin a househol%

Criteria- 7$en.min%e%, Sensiti"e, Meanin)ful

EMPATHY

Manifest the im$ortance of accuracy an% analytical thin*in) in sol"in) function

relate% $ro&lems

Criteria- Un$reEu%ice%, 6ele"ant, @"i%ent

SELF-KNOWLEDGE

Sho-s un%erstan%in) on follo-in) the ste$s in sol"in) %ierent function relate%

$ro&lems

Criteria- 6eFecti"e, 6ele"ant, @"i%ent

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R$!ric 2or Per2or"ance Tas5-

CateoriesO$tstandin

.70Satis2actory

.*0Developin

.60Beinnin

.%0Ratin

Mastery .6890

ll of the/uestions as*e%&y the teacher

-ere ans-ere%&y the mem&ers

correctly

There -ere atleast three/uestions

ans-ere%incorrectly

Most of the/uestions -ere

ans-ere%

incorrectly

7nly t-o or three/uestions -ere

ans-ere%

correctly

Presentation.6:90

The functionsare $resente%an% eA$laine%

$ro$erly

The functions areeA$laine%

$ro$erly &ut$resente%

ina$$ro$riately

The functionsare $resente%

$ro$erly &ut noteA$laine% -ell

The functions are$resente% an%

eA$laine%im$ro$erly

Mathe"atical

Acc$racy.*:90

Thecom$utationsare accurate

Some %etails of the com$utationare inaccurate

Most of the%etails of the

com$utation areinaccurate

Thecom$utations on

functions areincorrect

Participation.6890

ll of themem&ersacti"ely

$artici$ate in%oin) the tas*

ll of themem&ers

$artici$ate &utthe -or* isune"enly

%istri&ute%

7nly some of themem&ers

$artici$ate%

MaAimum of onlythree mem&ers

$artici$ate%

Other Evidences-Formative Assessments:

1 6ecitations2 Seat-or*s3 >rou$-or*s4 Boar%-or*s8 @Aercises

Summative Assessments:

1 +erformance Tas*2 +erio%ical Test3 Monthly Test4 !on) Test8 Qui??es

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STA,E *- Teachin and Learnin E;perience .Learnin Plan0

Day %


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Day *


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• Assess"ent- Summati"e 5n%i"i%ual, i%entify the %omain an% ran)e from the)i"en set of or%ere% $airsD

• Assin"ent- Ihat are the %ierent -ays of eA$ressin) functions >i"eeAam$les for each

Day 8

Marcelo

Re"ar5s

'al$eInteration

onestyMaterials

!C#, !a$to$, Chal*&oar%

Activities Daily Ro$tine

O!=ective&s- to )au)e stu%ents un%erstan%in) of the conce$ts )o"ernin)

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functions an% relations an% the %ierent -ays on eA$ressin) functions throu)h asummati"e assessment

• Assess"ent- Summati"e 5n%i"i%ual /ui? on 'unctions an% 6elations an% the%ierent -ays on eA$ressin) functionsD

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Day +


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translate% the acti"ities into function notationD

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Day @

Marcelo

Re"ar5s

'al$eInteration

Critical Thin*in), Self.e"aluation

Materials



• O!=ective&s- e"aluate the )i"en functions &y a$$lyin) the conce$t ofsu&stitution

• Interaction- s* the stu%ents to sin) GBahay.Ku&oH &y re$lacin) all the "o-elletters usin) letter 7 !et them share the eA$erience in sin)in) of the son)6elate it to the to$ic e"aluatin) functions &y a$$lyin) the conce$t of su&stitution>i"e eAam$les of e"aluatin) functions &y usin) the su&stitution metho%

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• Assess"ent- Summati"e in%i"i%ual, as* the stu%ents to e"aluate functionsD

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Day %%


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Day %*


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"aria&les Cite eAam$les an% as* the stu%ents to ans-er the )i"en eAam$les onthe &oar% Usin) the $rocess %one for the multi$lication of "aria&les, a$$ly it inmulti$lication of functions >i"e eAam$les on multi$lyin) functions

• Assess"ent- 'ormati"e Seat -or*, let the stu%ents ans-er the )i"en $ro&lems

on their o-nD

Day %8


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Day %@

Marcelo

Re"ar5s

'al$eInteration

Com$osin) yourself, Boostin)self.con%ence

Materials


Activities

Daily Ro$tine

•

O!=ective&s- i%entify the %ierent $rocesses in"ol"e% in com$osition offunctions a$$ly the $rocesses of com$osition of functions in $ro&lem.sol"in)

• Interaction- 'or reinforcement, as* the stu%ents to $erform the functioncom$osition acti"ity . ha"e the stu%ents -or* in )rou$s, cut out the sections ofthe acti"ity sheet, each )rou$ ran%omly com&ines at least three car%s into afunction, then as* the stu%ents to i%entify the resultin) function

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Day 6%


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eAam$les of $olynomial function, for $ositi"e eAam$les, %etermine the %e)ree,for ne)ati"e, )i"e the reason &ehin%D

Day 6*


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• Interaction- The stu%ents -ill recall the conce$t of !on) #i"ision metho% on$olynomials The teacher -ill )i"e a%%itional eAam$les to reinforce learnin) an%un%erstan%in) of the to$ic

• Assess"ent- Summati"e 5n%i"i%ual, sol"e for the /uotient of the functions

)i"enD

• Assin"ent- Ihat %o you mean -hen you say GsyntheticH o- can you relateit -ith the /uotient of $olynomials

Day 68

ather consi%era&le amount of ans-ers, then connect it to the

to$ic Then the teacher -ill re"eal the $rocess of n%in) the /uotient usin)synthetic metho% >i"e consi%era&le num&er of eAam$les

• Assess"ent- 'ormati"e By )rou$, Qui? Bee on Quotient of +olynomials for &oth!on) an% Synthetic #i"ision metho%sD

Day 6> S$!=ectMatter

Quotient of +olynomials Re2erence

Basic Calculus &y >Marcelo

Re"ar5s

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usin) the remain%er theoremD

Day 6?


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• Assess"ent- Summati"e in%i"i%ual /ui?, Quotient of +olynomials an%6emain%er TheoremD

Day *:


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Day *%


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&ase% from their assi)nment +rocess res$onses comin) from stu%ents an% relateit -ith the lesson =eros of +olynomial functions #emonstrate the ste$s in sol"in)for the ?eros of $olynomial functions

• Assess"ent- 'ormati"e >rou$ -or*, Qui? BeeD

Day **

Marcelo

Re"ar5s

'al$eInteration

onestyMaterials

Chal*&oar%


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Day *8

Marcelo

Re"ar5s

'al$eInteration

@"erythin) has its ri)htful$lace

Materials


Activities

Daily Ro$tine

• O!=ective&s- to &e a&le to )ra$h a $olynomial function

• Interaction- !et the stu%ents recall the ste$s in )ra$hin) a $olynomial function>i"e a%%itional eAam$les to stren)then stu%ents un%erstan%in) of the conce$t

• Assess"ent- Summati"e Seat-or*, )ra$hin) +olynomial functionsD

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Day *+

1st Grading - Elementary Functions

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