Lesson Plan In Mathematics Grade 8 (jhess) 2l6n5m

DETAILED LESSON PLAN IN MATHEMATICS FOR GRADE VIII By Ma. Jessamine Valerie C. Cortez I.

Objectives: 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.

Subject Matter: Topic: Correspondence of Relation Reference: Mathematics Learner’s Module for Grade 8 by DepEd pp. 147-148 Materials: Laptop, projector, cartolina, marker, Methods: Demonstration method and Activity method Values Integrated: Appreciation, cooperation

III.

Procedure: Teacher’s Activity A. Preliminary Activities 1. Daily Routine -Greetings -Prayer -Checking of Attendance 2. Review Last meeting, our discussion is all about relation. Again, what is relation?

Learner’s Activity

Relation is a relationship between quantities.

How do we represent a relation?

We can represent a relation in different ways like ordered pairs, table form, mapping diagram, and through graph.

What is the difference between domain and range?

The domain of a relation is the set of all first coordinates or x-coordinates and the range is the set of all second coordinates or y-coordinates.

3. Motivation The class will be divided into three groups. Each group will choose two representatives. One of each group will pick a relation and they will represent it in table form and mapping diagram. The group who will finish it first will get an incentive afterwards.

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For example: A relation between the grade 8 and the sections. y Descartes x

Hoffman

Grade 8

Euler Gauss Pascal

B. Lesson Proper 1. Presentation of the Lesson The game that is being executed has something to do with our topic for today which is the types of correspondence of a relation. 2. Discussion Proper In relation, there is what we called correspondence wherein this correspondence is classified into three types, the one-to-one correspondence, one-tomany correspondence, and many-to-one correspondence. In one-to-one correspondence, every element in the domain is paired into a unique element in the range. For example: 1

4

2

5

3

6

Domain

Range 2

Let’s have an example in real life situation. Say for instance, we have a relation between the student and its I.D. number. No student have the same I.D. number since, it is a one-to-one relation. X y Russel

001

Janesen

025

Angelo

154

Now, give me another example.

Another type of correspondence is one-to-many correspondence. In this type of correspondence, every element in the domain is mapped in any two or more elements in the range. For example: y x 2 1

3

2

4 5

3

The relation between a car and the company.

Fortuner

Toyota

Montero

Mitsubishi

MU-X

Isuzu

CR-V

Honda

x

y

In real life, let’s have the relation between the teacher and the students. y x

Miller

Sir Daren

Rochelle Sherwin

Who can give another example of one-to-many correspondence?

The relation between the principal and the teachers. Ma’am Raquel Ma’am Rhea Sir Tito Sir Frank x Sir Buts y

The last type of correspondence of a relation is many-to-one correspondence. If two or more elements in the domain are paired into a single element in the range, it is called many-toone correspondence. See this example. x 1

y

2

5

3

6

4

4

As in real life, let’s have the relation between the students and their class rank. x Jhandy

y

Yvan

1st

Eroll

3rd

Reymond Now, give another example of many-to-one correspondence.

The relation between the student and section. x y Jasmine Queen

Hoffman

Zip

Descartes

Rioben

C. Application Given the following relation, determine what type of correspondence it is; One-to-one, many-to-one, or one-to-many. 1. It is a many-to-one correspondence since, two elements in domain are paired with the same element in the range.

1. { (3,3), (1,3), (2,5), (0,2) }

2.

3.

x y

0 -2

-2 0 2

1 1

3 7

2 4

2. It is a one-to-one correspondence since, every element in the domain is paired with unique element in the range. -5 -1 8 9 1

3. It is a one-to-many correspondence since, one element in the domain is paired with two elements in the range.

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D. Generalization What 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.

What is a one-to-one correspondence?

One-to-one correspondence means that every element in the domain is paired with a unique element in the range.

What is one-to-many correspondence?

When we say one-to-many correspondence, it is a type of correspondence wherein one element in the domain is mapped with two or more element in the range.

What is many-to-one correspondence?

It is many-to-one correspondence when two or more elements in the domain are paired with just one element in the range.

What values have you gained during our discussion?

We learned to appreciate correspondence by relating it to our real life situation.

Evaluation: Consider the sets of ordered pairs below. 1. Set A: { (3,4), (4,5), (5,6), (6,7), (7,8) } 2. Set B: { (2,2), ( 2,-2), (3,3), (3,-3), (4,4), (4,-4) } 3. Set C: { (0,1), (1,1), (2,1), (3,1), (4,1), (5,1) } Questions to ponder: a. What is the domain of each set of ordered pairs? b. What is the range of each set of ordered pairs? c. What type of correspondence is each set of ordered pairs?

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V.

Assignment: A. Enrichment of the lesson Determine the domain, range, and the type of correspondence of each mapping diagram. 1. -2

-5

0

-1

1

0

2

6

2.

1

0

2 3 4

3.

0 1

1

2

2

3

3

4

B. Future Lesson 1. What is a function? 2. What is/are the graph of a function? Reference: Mathematics Learner’s Module for Grade 8, by Department of Education, page 149-152.

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