Detailed Lesson Plan in Mathematics for Grade 7 I.
Objectives:
At 1. 2. 3. II.
the end of the lesson, the students should be able to: Perfor Perform m the dieren dierentt set operation operations. s. Solve Solve problems problems involv involving ing the dieren dierentt set operation operations. s. Enjo Enjo !hile !hile dealing dealing on the dierent dierent set operat operations ions.. Subject Matter
a. "opi#: b. #. d. e. f.
Set $perations Subtopi#: %niversal Set and &omplimentation 'eferen#e: &risostomo, 'i#ardo (., et al. )2*13+. $ur !orld of math . -ueon &it/ 0ibal Publishing ouse, n#., pp 412 "ea#h ea#hin ing g Aid Aid:: 0isua isuall Aid Aids s )(an )(anil ila a pap paper er++ 5hiteboard 6&7"S: 8omain: &urri#ulum Strand: 8emonstrate master of the subje#t 0alue fo#us: &riti#al "hin9ing Strateg: ndu#tive (ethod
III.
Procedure "ea#hers "ea#hers A#tivit A#tivit A. Prepa Preparat rator or A#tivit A#tivities ies a. $pen $penin ing g Pra Praer er b. ;ree ;reettings ngs #. %nfr %nfree eei ing ng A#ti A#tivi vit t d. 'evie! evie! of the the Pas Pastt
Students A#tivit A#tivit
e. (otiv otiva atio tion Sin#e theres none, let us have a riddle. 8ire#tion: $n our noteboo9, suppl the set on the follo!ing riddle. 1. have have all all the the #olo #olors rs in in the the rainbo!, e=#ept that indigo. 2. m not not male male,, !ha !hatt am am > > 3. ts ts not not li?uid li?uid,, then then !hat !hat is it> it> @. f not not vo!el vo!els, s, then then !hat letters> letters> . f not not Satur Saturn, n, (er (er#u #ur r,, and 0enus, then !hat are !e> . 5hat 5hat are are not not ber ber mont months> hs> . m not not not not happ happ.. o! do feel> B. ts ts not not rainin raining, g, ho! ho!s s the the
1. 'ed, orang orange, e, ello! ello!,, green, green, blue, blue, violet 2. 3. @. .
Cemale Soli Solid d, gas &ons &onso onan nants Earth, Earth, (ars, (ars, Dupiter, Dupiter, %ranus, %ranus, 6eptune, Pluto . Danuar, Danuar, Cebrua Cebruar, r, (ar#h (ar#h,, April, April, (a, (a, Dune, Dul, August August . app
!eather then> . 6ot elementar, but !hat> 1*. have no 6o. 5hat do have>
B. Sunn . Iindergarten, se#ondar, tertiar 1*.Jes
7. Presentation 0er good. "his a#tivit has something to do !ith our lesson. $ur lesson is %niversal Set.
'ed, orange, ello!, green, blue,indigo, violet
0er good. f the #olors are the elements, then the rainbo! is our universal set.
%niversal set is the set #onsisting of all the elements under #onsideration.
o! about this e=ample. 5hat are the planets in our solar sstem> 0er good. f the planets are the elements, Solar Sstem !ould be our universal set. 7ased on our e=ample, !hat is universal set> 0er good. "he smbol for universal set is U. So, the universal set in our Frst e=ample is U G'ed, orange, ello!, green, blue,indigo, violetH o! do !e !rite the universal set of the planets in our Solar Sstem>
(er#ur, 0enus, Earth, (ars, Dupiter, Saturn, %ranus, 6eptune, Pluto %niversal set is the set #onsisting of all the elements under #onsideration.
UKG (er#ur, 0enus, Earth, (ars, Dupiter, Saturn, %ranus, 6eptune, PlutoH
6one.
"he union of Set A and Set 7 are 0er good. 8o ou have an ?uestion> 3,2@,@B,@,2,1,,B1,2,,2,3B,32,@ ,@ be#ause !e #ombine all the elements Sin#e theres none, get our noteboo9 from sets A and 7 !ithout repetitions. and solve the follo!ing. 1. A,b,#,d,e,f,g,h,i 2. ;,h,,j,9,l,m 3. 1B,1,2*,21,22 Seat!or9: Cind U @. "riangle, ?uadrilateral, pentagon, 1.
2. 3. @. .
he=agon, heptagon, o#tagon, nonagon, de#agon, unde#agon, dode#agon . (onda, "uesda, 5ednesda, "hursda, Crida, Saturda, sunda 6one
8 ou have an ?uestion>
Sin#e theres none, let us e=amine the statement. L love all the #olors e=#ept for blue and indigo. "he are so dar9.M 5hat #olors did the person did not love>
7lue and indigo
'ed, orange, ello!, green, violet
Alright. o! do ou 9no!>
0er good. "hese #olors are the #ompliment of Set A. t is !ritten as AKG'ed, orange, ello!, green, blue,indigo, violetH o! about L !ent to s#hool everda e=#ept on Crida, Saturda, and Sunda.M 5hat is our universal set> 5hat da do go to s#hool> Suppose that Set AKG (onda, "uesda, 5ednesda, "hursdaH, !hat is our A>
"he das in a !ee9.
(onda, "uesda, 5ednesda, "hursda AKG Crida, Saturda, and Sunda.H "he #ompliment of set A #ontains the elements that belong to universal set but do not belong to set A. 6o
0er good. So based on our e=ample, ho! do !e deFne &ompliment of a set>
"he #ompliment !ould be inFnite.
0er good. &an !e have a #ompliment !ithout a universal set> 5h> 0er good. Al!as remember that there must be a universal set in order to have a #ompliment. en#e, set A N AK U 8o ou have an ?uestion>
6one.
1. A O 7KG2H 2. A O 7K 3. A O 7KGn,oH
6one.
Sin#e theres none, solve this on our noteboo9. 1. Cind U if AKG2,,,BH and AKG3,,H 2. Cind A if UKGd,e,f,g,h,j,lH and AKGd,f,hH 3. Cind A if UKG3,@,,,,B,H and AKG3,,,,B,H 8o ou have an ?uestion> Sin#e theres none, get our noteboo9. 5e !ill have an appli#ation.
&. Appli#ation 8ire#tion: 'ead ea#h situation #arefull. dentif !hat is as9ed, !hat are given, set operation, illustration and ans!er. 1. n a group of 1* girls, of them ate burger and 3 ate pia. f 2 of them ate both burger and pia, ho! man of them neither eat burger nor pia>
As9ed: ho! man of them neither eat burger nor pia ;iven: U group of 1* girls AK of them ate burger 7K3 ate pia A O 7K2 Set $peration: interse#tion llustration:
3
)A % 7+ K 3 2. "here !ere * students in a #lass. 1 students love (ath, 1* students love S#ien#e, and 12 students love English. students love both (ath and S#ien#e, students love both S#ien#e and English, and students love both (ath and English. f 3 students love (ath, S#ien#e and English, ho! man students love (ath alone>
As9ed: o! man students love (ath alone> ;iven:
2B
Ans!er: AK students love (ath alone A. ;eneraliation 5hat have ou learned this morning>
s it possible to have a #ompliment of a
"his morning, !e learned about the universal set and #omplementation of a set.
set !ithout a universal set> Pre#isel. 8o ou have an further ?uestions> Sin#e theres none, get one !hole sheet of paper. 5e !ill have a ?ui. E. Evaluation .8ire#tion: Solve the follo!ing. 5rite our ans!er onl. ;iven UG=Q= is a number from * to 1*H AK G*,1,2,3,@H 7KG3,,,BH &KG*,2,,BH 1. )7+ 2. )7 O &+ 3. A % 7 @. 7 O & . )A%7%&+ .8ire#tion: 'ead ea#h situation #arefull. dentif !hat is as9ed, !hat are given, set operation, illustration and ans!er. 1. n a group of 1 bos, of them pla bas9etball. o! man of them do not pla bas9etball>
6o. &ompliment indi#ates that there is a universal set. 6one.
1. 2. 3. @. .
)7+K3,,,BH )7 O &+KG*,1,2,3,@,,,H A % 7KG*,1,2,@,,,,B,,1*H 7 O &K@ )A%7%&+KGH
As9ed: o! man of them do not pla bas9etball> ;iven:
AK
2. n an organiation, 1* members are using S(A'", 1 are using ;<$7E, and 13 are using A7S&76 (obile. members are using both S(A'" and ;<$7E, members are using both ;<$7E and A7S&76 (obile, 3 are using both
Ans!er: AK As9ed: o! man members are there in the organiation> ;iven:
S(A'" and A7S&76 (obile, 2 members are using all S(A'", ;<$7E and A7S&76 (obile, and members do not have #ellphone. o! man members are there in the organiation>
A O 7K members are using both S(A'" and ;<$7E 7 O &K members are using both ;<$7E and A7S&76 (obile A O &K3 are using both S(A'" and A7S&76 A O 7 O &K2 members are using all S(A'", ;<$7E and A7S&76 (obile )A % 7 % &+K members do not have #ellphone Set $peration: interse#tion and #ompliment llustration:
AO7O& K2 Ans!er: U)A % 7 % &+ N)A % 7 % &+ U )@N3N2N1NN@N+N)+ U!!