DAILY DAILY LESSON LOG (DLL) (DL L) in Mathematics 7 Grade Level/ Section: Grade 7 Learnin Area: Numbers and Number Sense !"arter: 1 Date: July Date: July 15, 2016 25 I$
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O%&E'IES: A$ 'onten 'ontentt Standard Standards: s: The learners learners demonstrate demonstrate understandin understanding g of the key key one!ts one!ts of sets, the real number system, estimation " a!!ro#imation of a s$uare of a number and the measures of $uantities, and the a!!liations of real numbers to measurements% %$ *er+orma *er+ormance nce Standar Standards: ds: The learners learners are are able to a!!ly a!!ly &arious &arious !roedures !roedures and and mani!ulations on the di'erent subsets of the set of real numbers% '$ Learnin Learnin 'om,eten 'om,etencies cies:: The learners learners !erform !erform fundamental fundamental o!erations o!erations on integers( integers( addition, addition, subtration, multi!liation, di&ision% S,eci-c O.ectives: )t the end of the session, the students are e#!eted to( a% use olored olored ounters ounters and number line line to re!resen re!resentt integers integers and to determine their sums* b% state state the rules rules for for adding adding integ integers* ers* % !erform addition of integers integers using using the rules they they ha&e ha&e formed* formed* d% sol&e +ord +ord !roble !roblems ms in&ol&ing in&ol&ing addition addition of integers* integers* e% !artii!ate !artii!ate enthusiastiall enthusiastially y during during the the learning learning ati&ities% ati&ities% 'ONEN (S (S".ect Ma Matter): undamental -!eration on .ntegers( )ddition of .ntegers LEA0N A0NING 0E 0ESO10'ES: A$ 0e+e 0e+eren rences ces 2$ eacher3s eacher3s G"ide *aes *aes:: TG( !!% 26/1 26/1 4$ Learner3s Learner3s Mater Material ial *ae *aes: s: ( !!% 13/21 5$ e6t.oo e6t.oo *aes *aes:: Ni&era, Gladys 4% 2012% Grade 7 ath( atterns 8 ratialities% Salesiana 9ooks% akati 4ity% 8$ Additional Additional Materials Materials +rom +rom Learnin Learnin 0eso"rces: 0eso"rces: %$ Other Other Learnin Learnin 0eso"rc 0eso"rces: es: re!ared o+eroint !resentation on )ddition of .ntegers +++%$ui!!er%om • • •
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*0O'ED10ES: A$ 0evie9in 0evie9in ,revio"s ,revio"s lesson or ,resentin ,resentin o+ ne9 ne9 lesson :se ;ash ards ontaining e#!ressions in&ol&ing addition and subtration of +hole numbers to reall the !re/re$uisite skills needed for the !resent lesson% %$ Esta.lishin Esta.lishin the the ,"r,ose ,"r,ose +or the the lesson resent a !roblem to the lass that +ill allo+ the students to use t+o +ays of re!resenting the gi&en data/ colored counters and number line% Problem: Juan borrowed Php 5 from his classmate. classmate. The next day, day, having a daily allowance of Php 8, he paid his debt. ow much is left of his allowance for the day!
)lso, !resent a brief historial bakground on the use of olored ounters" rods +hih is belie&ed to ha&e originated in 4hina% "#n $%% &', 'hinese accountants used blac( )negative rods* for debts and red )positive rods* for credits. owever, it was +iralumo 'ardano)5%-5/* who introduced negative numbers and their properties formally.0 '$ *resentin e6am,les/ instances o+ the ne9 lesson :sing the !roblem !resented in lass, disuss the !roess of using olored ounters and number line to add integers% The colored counters, +hih ome in di'erent olors, re!resent negati&e integers and !ositi&e integers% T+o ounters, one for eah ty!e, anel eah other out% These are alled 1ero pairs. •
) red hi!, ,is used to re!resent >1%) blak hi!, re!resent =1% :sing ounters, re!resent /5 and 3%
,is used to
/5 3
•
Note that re!resents 1ero pair % 5 negati&e ounters and 5 !ositi&e ounters add u! to 0% 2o, -5 3 8 4 . The number line model , +hih uses &etors along a number line, re!resent negati&e integers and !ositi&e integers% ) &etor !ointing to the right +ill be used to re!resent 1 1
=5 =< = =2 =1
0
1
2
) &etor !ointing to the left +ill be used to re resent =1% =1 <
5
=5 =< = =2 =1
0
1
2
:sing the number line, re!resent /5 and 3% > /5 =5 =< = =2 =1
0
1
2
<
5
9egin at 0% o&e left 5 !laes, then mo&e right 3 !laes% The sto!!ing !lae is % Therefore, Juan has Php left. D$ Disc"ssin ne9 conce,ts and ,racticin ne9 sill 2 Grou! )ti&ity( ?ith 3 grou!s in lass, the students are to sol&e e#!ressions in&ol&ing addition of integers using olored ounters and number line% ?orksheets ontaining guide $uestions +ill be distributed to eah of the grou!s see attachment % )fter+ards, they +ill !resent their +ork%
Group No.
Grou!s 1 and 2
Worksheet No. ?orksheet 1
Grou!s and <
?orksheet 2
Grou!s 5 and 6
?orksheet
Activity
)ddition of .ntegers +ith the Same Sign using 4olored 4ounters )ddition of .ntegers +ith the Same Sign using Number ine )ddition of .ntegers +ith @i'erent Signs using 4olored
<
5
Grou!s 7 and 3
?orksheet <
4ounters )ddition of .ntegers +ith @i'erent Signs using Number ine
Aa&e the students state the rules for adding integers based on the grou! ati&ity they ha&e !erformed% That is, if the integers have the same sign, 6ust add the positive e7uivalents of the integers and attach the common sign to the result % 9ut, if the integers have dierent signs, get the dierence of the positive e7uivalents of the integers and attach the sign of the larger number to the result % )lso, em!hasiBe on this !art that if there are more than t+o addends in the !roblem, the Crst ste! to do is to ombine addends +ith same signs and then get the di'erene of their sums% E$ Disc"ssin ne9 conce,ts and ,racticin ne9 sill 4 )ns+er the e#am!les !resented in the %% Points to ponder, p. $ for dee!er understanding of the lesson% )lso, !resent +ord !roblems +hih an be ans+ered using the rules for adding integers% ;$ Develo,in Master# Grou! Game( 9#;T< T= ># #T % :sing the same grou!ing, the students are to sol&e e#!ressions that in&ol&e addition of integers% Dah hallenge is ans+erable for a minute% )s soon as they Cnish ans+ering eah hallenge orretly, the leader must gi&e the ans+er sheets !ro&ided to the teaher to be reogniBed refer to the PowerPoint Presentation% or hallenge 1, the Crst 5 grou!s to Cnish orretly +ill be allo+ed to mo&e on to the ne#t hallenge% or hallenge 2, only the Crst 2 grou!s $ualify for the ne#t hallenge% )nd for the Cnal hallenge" hallenge , the Crst grou! to Cnish the task orretly +ill emerge as the +inner of the game% G$ ;indin ,ractical a,,lications o+ conce,ts and sills in dail# livin Dstablish the rele&ane of the lesson by !resenting a $uote that an be re!resented by a rule in adding integers% "Two >?=+2 don@t ma(e a ?#+T.0 (<)=(<) > (<) ?$ Main enerali@ations a.stractions a.o"t the lesson resent the summary of the lesson through a song% Tune( Eo+, ro+, ro+ your boat "2ame signs, add and (eep Aierent signs, subtract ;se the sign of the bigger number, Then you@ll be exact.0 I$ Eval"atin Learnin et the students ans+er T%G% !!%0/1 ), 9 8 4% &$ Additional activities +or a,,lication or remediation: et the students ans+er the ati&ity on )ddition of integers at +++%$ui!!er%om
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0EMA0BS:
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0E;LE'ION: A$ No$ O+ learners 9ho earned C in the eval"ation: %$ No$ O+ learners 9ho reF"ire additional activities +or remediation 9ho scored .elo9 C: '$ Did the remedial lesson 9or No$ O+ learners 9ho ca"ht ", 9ith the lesson: D$ No$ O+ learners 9ho contin"e to reF"ire remediation: E$ Hhich o+ m# teachin strateies 9ored 9ell Hh# did these 9or ;$ Hhat dic"lties did I enco"nter 9hich m# Master teacher can hel, me solve G$ Hhat innovation or locali@ed materials did I "se/ discover 9hich I 9ish to share 9ith other teachers
?-EFSADDT 1 )ddition of .ntegers +ith the Same Sign using 4olored 4ounters :sing 'OLO0ED 'O1NE0S, ans+er eah of the follo+ing(
1) 2 + 4
2
Ans9er: JJJJJJJJJJ
4
>
H 4) -3 + (-6)
-3
Ans9er: JJJJJJJJJJ
-6
>
H
?-EFSADDT 2 )ddition of .ntegers +ith the Same Sign using Number ine :sing a N1M%E0 LINE, ans+er eah of the follo+ing(
1) 2 + 4
ANSWER:
4) -3 + (-6)
ANSWER: G"ide !"estions: ( for worksheets 1 and 2) 1% 4onsider the !ositi&e e$ui&alents of the integers that you added% 9ased on your ans+ers, do you add or subtrat themI 2% .f t+o integers are a both !ositi&e b both negati&e, +hat do you notie about the sign of their sumI a b % 9ased on your ans+ers to 1 and 2, ho+ do you add integers +ith the same signI JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ JJJJJJJJJJJJJJJJJJJJJJJJJ ?-EFSADDT )ddition of .ntegers +ith @i'erent Signs using 4olored 4ounters :sing 'OLO0ED 'O1NE0S, ans+er eah of the follo+ing(
1) 6 + (-9)
6
-9
>
Ans9er: JJJJJJJJJJ
H
4) 8 + (-4)
8
-4
>
Ans9er: JJJJJJJJJJ
H
?-EFSADDT < )ddition of .ntegers +ith the @i'erent Signs using Number ine :sing a N1M%E0 LINE, ans+er eah of the follo+ing(
1) 6 + (-9)
ANSWER:
4) 8 + (-4)
ANSWER: G"ide !"estions: ( for worksheets 3 and ) 1% 4onsider the !ositi&e e$ui&alents of the integers that you added% 9ased on your ans+ers, do you add or subtrat themI 2% .f t+o integers are of di'erent signs, +hat do you notie about the sign of their sumI % 9ased on your ans+ers to 1 and 2, ho+ do you add integers +ith di'erent signsI JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ JJJJJJJJJJJJJJJJJJJ
