DLP-8 week 3 day 2 A Detailed Lesson Plan for Grade 8 PDF

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A Detailed Lesson Plan for Grade 8
Lesson Planning is one way of planning instructions....

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MATHEMATICS RESOURCE PACKAGE QUARTER I Week 3 Subject: MATH

Grade Level: 8

Date: __________________

Day 1 Demonstrate understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, system of linear equation and inequalities in two variables and linear function. Is able to formulate real-life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, system of linear equation and inequalities in two variables and linear function Simplify rational algebraic Expression Code: M8AL – Ic - 1

Content Standard

Performance Standard

Competency I. OBJECTIVES

Knowledge: Tells if the given expression is rational algebraic expression or not. . Skills: Simplifies Rational algebraic Expressions. Affective: Displays correctness in simplifying rational algebraic expression II. CONTENT

Simplifying Rational Algebraic Expressions

III. LEARNING RESOURCES A. References 1. Teacher’s Guide Pages 2. Learner’s Materials Pages 3. Textbook Pages 4. Additional Materials

5. Learning Resources (LR) portal B. Other Learning Resources

Prepared by: JUNRY Y. VILLAHERMOSA

Grade 8 Teachers Guide Page 81-88 Grade 8 Learner’s Material(77-80) Page 93 – 96  Intermediate algebra II, 2000. Page 78 - 79  NFE Accreditation and Equivalency Learning Material. Understanding Rational Expression part 1, 2000. Pp. 10 – 13, 16-19, 27-30, 33-37.  EASE II-Module 2: Rational Algebraic Expressions. https://lrmds.deped.gov.ph/detail/7450

MATHEMATICS RESOURCE PACKAGE IV. PROCEDURES A. Reviewing or presenting the new lesson

ACTIVITY: Review Identify whether the following is rational algebraic expression or Not. 1. 2. 3. 4. 5.

B. Establishing a purpose for the lesson

C. Presenting examples of the new lesson

Motive Questions: 1. How did you describe rational algebraic expressions? (expected answer: It is an algebraic expressions written in the form ) 2. Which is a rational algebraic expressions(expected answer: No. 1, 4, and 5) 3. Why do you think so?(Answers may Vary) 4. Which is not rational algebraic expressions? (expected answer: No. 2 and 3)Why?(answers may vary) Note: Lead the students to the concept of “simplifying rational algebraic expressions” Like fractions, a rational algebraic expression can also be simplified. It is said to be on its simplest form if the given rational algebraic expressions has no other factor except 1 and itself. Simplify each below −2b 4 1. d5 5 2. 3 x +5 3. x−2 3d 4. 7 b +1 5.

D. Discussing new concepts and practising new skills #1

Prepared by: JUNRY Y. VILLAHERMOSA

2 3

To simplify rational algebraic expression is to factor both numerator divide the common factor.

MATHEMATICS RESOURCE PACKAGE Example: Simplify the following; 1. 6x2y 12xy2 Solution:

(Note: for more examples please refers to the attachments E. Discussing new concepts and practicing new skills #2

2. Solution: = (Note: For additional examples for please refer the attachment).

F. Developing Mastery

ACTIVITY: Group Activity (Carousel Brainstorming) Note to the Teacher: Group the class into 8 groups (groupings is dependent on class size). Mechanics: Each group shall form a circle. There are 10 problems for this activity where they have to simplify the following given into single fractions. Each problem is to be answered in 2 minutes. After the time allotment, the participants shall pass the questionnaire to their right and so on until they answer the 10th question. Exchange papers for checking. Simplify the following to single fractions.

a2 x 3 y2 8a 2 a−3 b+1 b+3 x−3 x+5 x+6 2 x +6 x +36 x+ y m−n

1. 2. 3. 4. 5. 6. 7.

Prepared by: JUNRY Y. VILLAHERMOSA

a2−2 ab −3 b2 a4 −2 a2 b 2+ b4

a−3 b (a−b)( a−b )( a+b )

MATHEMATICS RESOURCE PACKAGE x−4

8.

G. Finding practical applications of concepts and skills in daily living H. Making Generalizations and abstractions about the lesson

I.

Evaluating learning

2 xy +1 x2 + y2 9. 3 b−4 3+2 a 10. What do you think the significance of studying the concept of rational algebraic expressions? (answers may vary) Guide Questions for Generalization:  When can we say that a rational algebraic expression is in its simplified form? (Expected answer: If no other factor except 1 and itself)  How do you simplify rational algebraic expressions? (Possible answer: Through factoring). Simplify each below x+ 9 1. x−9 2w 2. 3x x+2 3. x−2 x +4 4. 5 2 y +3

5. J. Additional Activities for application or remediation

Simplify the following.

3.

−3 2y 3 m 2r

4.

1 ( a+b )(b−c)

1. 2.

5.

V.

REMARKS

VI.

REFLECTION

Prepared by: JUNRY Y. VILLAHERMOSA

y3 x

MATHEMATICS RESOURCE PACKAGE A. No. of learners who earned 80% in the evaluation

A. ___No.of learners who earned 80% in the evaluation

B. No. of learners who require additional activities for remediation

B. ____No. Of learners who require additional activities for remediation C. Did the remedial lesson work?

C. Did the remedial lessons work? No. of learners who have caught up the lesson D. No. of learners who continue to require remediation E. Which of my teaching strategies worked well? Why did these work?

F. What difficulties did I encounter which my principal and supervisor help me solve?

____No. Of learners who caught up the lesson.

D. ___No. Of learners who continue to require remediation Strategies used that work well: ____Group collaboration ____Games ____Powerpoint Presentation ____Answering preliminary activities/exercises ____Discussion ____Case Method ____Think-Pair-Share(TPS) ____Rereading of paragraph/Poems/Stories ____Differentiated instruction ____Role Playing/Drama ____Lecture Method Why? ____Complete Ims ____Availability of Materials ____Pupils/Students eagerness to learn ____Group members cooperation in doing their tasks. ____Bullying among pupils ____Pupil’s behavior/attitude ____Colorfull IM’s ____Unavailable Technology Equipment (AVR/LCD) ____Science/Computer/Internet Lab ____Additional Clerical works ____Reading Readiness

G. What innovation or localized I used/discover which I wish to share with other teacher? WEEK 3: day 2

Prepared by: JUNRY Y. VILLAHERMOSA

MATHEMATICS RESOURCE PACKAGE ATTACHMENT Content: Simplifying Rational Algebraic Expressions

DISCUSSIONS: To simplify rational algebraic expression is to factor both numerator and denominator and divide the common factor. Example: Simplify the following; 1. 6x2 y 12xy2 Solution:

2. Solution:

=

ATTACHMENT Note: The activities included here will be used only when needed. Direction: Simplify the following rational algebraic expressions

1.

6.

2.

7.

3.

8.

4.

9.

5.

10.

Prepared by: JUNRY Y. VILLAHERMOSA

MATHEMATICS RESOURCE PACKAGE REFERENCES

A. DepEd INSTRUCTIONAL MATERIALS: EASE II-Module 2: Rational Algebraic Expressions Abuzo, Emmanuel P., & et.al(2013) Mathematics-Grade 8 Learner’s Module(1st Ed.). Pasig City: DepEd-IMCS EASE Modules Year 2, Module 1: Variation B. BOOKS AND OTHER REFERENCES Bernabe, J. and Soledad, J. (2009) Intermediate Algebra Textbook for Second Year, Rev. Ed. Quezon City: SD Publications, Inc. K to 12 Curriculum Guide Mathematics. (2012). Department of Education, Philippines;

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