kxdm8 Dll Math 8 Quarter 1 Week 1

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Name of Teacher: ARIEL C. NUEVAS Subject/Grade Level/Section Math/Grade 8/Santan/Rosal/Gumamela

Date/Time: JUNE 03 – 07 /1:00–2:00/2:00–3:00/3:00–4:00 ^Quarter: 1^st 2^nd 3^rd 4^th

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY

I. OBJECTIVES

1. Content Standards The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables and linear functions.

2. Performance Standards The learner is able to formulate real-life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies

3. Learning Competencies /

Objectives Factors completely different types of polynomials (polynomials with common monomial factor, difference of two squares, sum and difference of two cubes, perfect square trinomials and general trinomials)

(M8AL-Ia-b-1)

II. CONTENT

Factor of Polynomials With Common Monomial

Factor(CMF)

Factoring the Difference of Two Squares

HOLIDAY (EID’L FITR)

Factoring the Sum or Difference of Two Cubes

Factoring a Perfect Square Trinomial

III. LEARNING RESOURCES A. References

1. Teacher’s Guide pages 29-33 pages 34-35 pages 36-37 pages 38-39

2. Learner’s Materials pages 27-31 pages 32-33 pages 34-35 pages 36-38

3. Textbook

4. Additional Materials from Learning Resource (LR) portal

B. Other Learning Resources Grade 8 LCTG by Dep Ed Cavite Mathematics 2016

laptop, LCD

Grade 8 LCTG by Dep Ed Cavite Mathematics 2016

laptop, LCD

IV. PROCEDURES

A. Reviewing previous lesson or

presenting the new lesson 1. Asking the common physical features/ behavioral traits among siblings in the family.

SECRET MESSAGE

Find the square roots and solve the secret message

Purpose Setting Activity So here are the formulas that summarize how to factor the sum and difference of two cubes.

Find the square of the following:

B. Establishing a purpose for the

lesson Presentation of lesson

objective.

Presentation of lesson objective.

C. Presenting examples/ instances

of the lesson a. Factor xy + xz

b. Factor 5n² + 15n c. Factor 27y² + 9y -18

Factor 4y² - 36y⁶ 4y² (1 - 9y⁴)

1: Factor x³ + 27 2: Factor y³ – 8

Study the trinomials and their corresponding binomial factors.

MALIBAGO NATIONAL HIGH SCHOOL DAILY LESSON LOG 2018-2019

DepEd Order No. 42

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1. x² + 10x + 25 = ( x + 5)² 2. 49x² – 42 + 9

= ( 7x – 3)²

3. 36 + 20 m + 16m² = (6 + 4m)²

D. Discussing new concepts and

practicing new skills #1 Question: What fruit is the main product of Tagaytay City?

You will match the products in Column A with the factors in Column B to decode the answer.

Factor each of the following:

1. c² - d² 2. 1 - a²

3. ( a + b )² - 4c² 4. 16x² - 4 5. a²b² - 144

Factor the following:

1. x³ – 8 2. 27x³ + 1 3. x³y⁶ – 64 4. m³ + 125 5. x³ + 343

Supply the missing term to make a true statement.

1. m² + 12m + 36

= (m + ___)²

2. 16d² – 24d + 9 = (4d – ___)²

3. a⁴b² – 6abc + 9c²

= (a²b ___)²

E. Discussing new concepts and

practicing new skills #2 Factor the following 1. a²bc + ab²c + abc² 2. 4m²n² - 4mn³ 3. 25a + 25b 4. 3x² + 9xy 5. 2x²y + 12xy

1. ( _____ ) ( x – 9) = x² -81

2. ( 20 + 4) ( _____ ) = 20² -4²

3. ( _____ ) (2a +3 ) = 4a² - 9

Complete the factoring.

1. t3 - w3

= ( t – w ) ( ) 2. m3 + n3

= ( m + n ) ( )

Factor the following

trinomials.

1. x² + 4x + 4 2. x²- 18x + 81 3. 4a² + 4a + 1 4. 25m² – 30m + 9 5. 9p² – 56p + 16

F. Developing mastery

(Leads to Formative Assessment 3)

1. 10x + 10y + 10z 2. bx + by + bz 3. 3x³ + 6x² + 9x 4. 10x + 5y –20z 5. 7a³ + 14a² + 21

Factorize the following by taking the difference of squares:

1. x² – 100 2. a² – 4 3. ab² – 25 4. 36�² – 81 5. 54�² – 6y²

Factor each completely.

a) x ³ + 125 b) a ³ + 64 c) x ³ – 64 d) u ³ + 8

1. x² – 5x + 25 2. b² -10b + 100 3. 36b² – 12b + 1 4. 49p²– 56p = 16 5. 49k²– 28kp + 4p²

G. Finding practical applications of

concepts and skills in daily living Factor the following 1. 16a² + 12a 2. 12am + 6a²m 3. 72x² + 36xy – 27x 4. 5a³ + a³b

5. 30a + 5ay - 25 az

Factor the following.

1. 100a² – 25b² 2. 1 – 9a² 3. 81x² – 1 4. – 64a² + 169 b² 5. x² – 144

Find the cube roots. Then, match each solution to the numbers at the bottom of the page. Write the corresponding letter in each blank to the question.

Complete the perfect square trinomial and factor them.

1. ___ + 16x + 64 2. x² - ___ + 49 3. x² + 4x + ___

4. x² + ___ + 9y² 5. ___ + 10k + 25

H. Making generalizations and

abstractions about the lesson Common Monomial Factor To factor polynomial with common monomial factor, expressed the given

polynomial as a product of the

The factors of the difference of two squares are the sum of the square roots of the first and second terms times the difference of their square

1. The sum of the cubes of two terms is equal to the sum of the two terms multiplied by the sum of the squares of these terms minus the

In factoring a perfect square trinomial, the following should be noted:

1. The factors are binomials with like terms

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common monomial factor and the quotient obtained when the given polynomial is divided by the common monomial factor.

roots.

*The factors of �2 − �2

=�𝑟� ( � + � ) �𝑛� ( � −� ).

product of these two terms.

a³ + b³

= ( a + b ( a² - ab + b² )

wherein the terms are the square roots of the first and the last terms of the trinomial.

I. Evaluating learning Factor the following:

1. 5x + 5y + 5z 2. ax + ay + az 3. 4x³ + 8x² + 12x 4. 6x + 18y – 9z 5. 3a³ + 6a² + 12

1. x2 – 9 2. a2 – 1 3. ab2 – 16 4. 16�2 – 49 5. 54�2 – 6y2

Supply the missing expression.

1. �3 - 27

= (m – 3) _________

2. 64 + 27𝑛3

= ____(16 – 12n + 9𝑛2 ) 3. _______

= ( 2p + 5q ) ( 4�2 – 10pq + 25�2 )

4. �6 + 1000

= _____�4 - 10�2 + 100 ) 5. ________

= ( 6x – 7y ) ( 36�2 + 42xy + 49�2 )

1. x² – 6x + 9 2. b² -12b + 36 3. 4b² – 4b + 1 4. 49p²– 56p = 16 5. 49k²– 28kp + 4p²

J. Additional activities for application or remediation

A. Follow up

Supply the missing term 1. 3a + 3b = ____ (a + b) 2. bx + by + bz

= _____ (x + y + z) 3. a²b - ab² = ab (_____

1. x2 – 9 2. a2 – 1 3. ab2 – 16

Solve the following:

1. The product of two consecutive even integers is 528. Find the value of each integer.

Complete the perfect square trinomial and factor them.

1. ___ + 16x + 64 2. x² - ___ + 49 3. x² + 4x + ___

V. REMARKS VI. REFLECTION

1. No. of learners who earned 80% in the evaluation

2.No. of learners who require additional activities for remediation who scored below 80%

3. Did the remedial lesson work? No. of learners who have caught up with the lesson

4. No. of learners who continue to require remediation.

5. No. of learners who continue to require remediation.

6. What difficulties did I encounter which my principal or supervisor can help solve?

7. What innovation or localized materials did I use/discover which I wish to share with other teachers?

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Date Checked: _______________________________________ Noted: MARIA THERESA T. TIOZON School Head