DETAILED LESSON PLAN IN MATHEMATICS FOR GRADE VIII By Ma. Jessamine Valerie C. Core! I.
O"#e$i%es& a. Differentiate the different types of correspondence of a relation.
b. Give examples in each type of correspondence. c. Appreciate correspondence in real life situation. II.
III.
S'"#e$ Maer& Topic: Correspondence of Relation Reference: Mathematics earner!s Module for Grade " by Dep#d pp. 1$%&1$" Materials: aptop' pro(ector' cartolina' mar)er' Methods: Demonstration method and Activity method *alues +nte,rated: Appreciation' cooperation Pro$e('re& Tea$)er*s A$i%iy A. Preliminary A$i%iies +. Daily Ro'ine &Greetin,s &-rayer &Chec)in, of Attendance ,. Re%ieast meetin,' our discussion is all about relation. A,ain' hat is relation/
Learner*s A$i%iy
Relation is a relationship beteen 3uantities.
0o do e represent a relation/
e can represent a relation in different ays li)e ordered pairs' table form' mappin, dia,ram' and throu,h ,raph.
hat is the difference beteen domain and ran,e/
The domain of a relation is the set of all first coordinates or x&coordinates and t he ran,e is the set of all second coordinates or y&coordinates.
. Moi%aion The class ill be divided into three ,roups. #ach ,roup ill choose to representatives. 2ne of each ,roup ill pic) a relation and they ill represent it in table form and mappin, dia,ram. The ,roup ho ill finish it first ill ,et an incentive afterards.
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5or example: A relation beteen the ,rade " and the sections. y Descartes /
0offman
Grade "
#uler Gauss -ascal
B. Lesson Pro0er +. Presenaion o1 )e Lesson The ,ame that is bein, executed has somethin, to do ith our topic for today hich is the types of correspondence of a relation. ,. Dis$'ssion Pro0er +n relation' there is hat e called correspondence herein this correspondence is classified into three types' the one&to&one correspondence' one&to& many correspondence' and many&to&one correspondence.
+n one&to&one correspondence' every element in the domain is paired into a uni3ue element in the ran,e. 5or example:
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4
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8
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Domain
Ran,e 4
et!s have an example in real life situation. 9ay for instance' e have a relation beteen the student and its +.D. number. o student have the same +.D. number since' it is a one&to&one relation. 2 y Russel
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An,elo
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o' ,ive me another example.
Another type of correspondence is one&to&many correspondence. +n this type of correspondence' every element in the domain is mapped in any to or more elements in the ran,e. 5or example: y / 4 1
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The relation beteen a car and the company.
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Toyota
Montero
Mitsubishi
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+n real life' let!s have the relation beteen the teacher and the students. y /
Miller
9ir Daren
Rochelle 9herin
ho can ,ive another example of one&to&many correspondence/
The relation beteen the principal and the teachers.
Ma!am Ra3uel Ma!am Rhea 9ir Tito 9ir 5ran) /
9ir @uts y
The last type of correspondence of a relation is many&to&one correspondence. +f to or more elements in the domain are paired into a sin,le element in the ran,e' it is called many&to& one correspondence. 9ee this example. /
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4
6
8
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As in real life' let!s have the relation beteen the students and their class ran). /
y
Fvan
1st
#roll
8rd
Reymond o' ,ive another example of many&to&one correspondence.
The relation beteen the student and section. / y
0offman
Hip
Descartes
Rioben
C. A00li$aion Given the folloin, relation' determine hat type of correspondence it is 2ne&to&one' many&to&one' or one&to&many.
1. +t is a many&to&one correspondence since' to elements in domain are paired ith the same element in the ran,e.
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4. +t is a one&to&one correspondence since' every element in the domain is paired ith uni3ue element in the ran,e. &6 &1 " I
8. +t is a one&to&many correspondence since' one element in the domain is paired ith to elements in the ran,e.
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D. Generali!aion hat are the three types of correspondence/
IV.
The three types of correspondence are one&to&one correspondence' one&to&many correspondence' and many&to&one correspondence.
hat is a one&to&one correspondence/
2ne&to&one correspondence means that every element in the domain is paired ith a uni3ue element in the ran,e.
hat is one&to&many correspondence/
hen e say one&to&many correspondence' it is a type of correspondence herein one element in the domain is mapped ith to or more element in the ran,e.
hat is many&to&one correspondence/
+t is many&to&one correspondence hen to or more elements in the domain are paired ith (ust one element in the ran,e.
hat values have you ,ained durin, our discussion/
e learned to appreciate correspondence by relatin, it to our real life situation.
E%al'aion& Consider the sets of ordered pairs belo.
1. Se A& B 8'$' $'6' 6'7' 7'%' %'" E 4. Se B& B 4'4' 4'&4' 8'8' 8'&8' $'$' $'&$ E 8. Se C& B ;'1' 1'1' 4'1' 8'1' $'1' 6'1 E 3'esions o 0on(er& a. hat is the domain of each set of ordered pairs/ b. hat is the ran,e of each set of ordered pairs/ c. hat type of correspondence is each set of ordered pairs/
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V.
Assi4nmen& A. Enri$)men o1 )e lesson Determine the domain' ran,e' and the type of correspondence of each mappin, dia,ram.
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B. F''re Lesson 1. hat is a function/ 4. hat isJare the ,raph of a function/ Re1eren$e& Mathematics earner!s Module for Grade "' by Department of #ducation' pa,e 1$I&164.
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