Week 1 Math Lesson Log: Factoring Polynomials with GCM Factor, Summaries of Mathematics

The daily lesson log for a grade 8 mathematics class focusing on factoring polynomials with greatest common monomial factor. Objectives, content, learning resources, procedures, and assessments. Students will learn to identify the expression that can be factored, determine the process of factoring using greatest common monomial factor, and appreciate the concept of factoring.

Typology: Summaries

2022/2023

Uploaded on 02/08/2024

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Daily Lesson Log of M8AL-Ia-b-1 (Week 1 Day 1)
School Grade level Grade 8
Teacher Learning
Area
Mathematics
Teaching Date and
Time
Quarter First
I. OBJECTIVES Objectives must be met over the week and connected to the curriculum standards. To meet the objectives,
necessary procedure must be followed and needed, additional lessons, exercises and remedial activities
may be done for developing content knowledge and competencies. These are assessed using Formative
Assessment Strategies. Valuing objectives support the learning of content and competencies and enable
children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the
curriculum guides.
A. Content Standards The learners demonstrate understanding of key concepts of factors of polynomials
B. Performance
Standards
The learners formulate real-life problems involving factors and solve these with
utmost accuracy using a variety of strategies.
C. Learning
Competencies/
Objectives
Learning Competency: 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
Learning Objectives:
1. Identify the expression that can be factored
2. Determine the process of factoring using greatest common monomial factor
3. Show appreciation in factoring
4. Find factors of a given polynomials
II. CONTENT Factoring polynomials with greatest common monomial factor
III. LEARNING
RESOURCES
Curriculum guide, Teacher’s guide, Learner’s module
A. References
1. Teacher's Guide Module 1: Pages 29-33
2. Learner's Module Pages 27-31
3. Textbook Pages
4. Additional
Materials From
Learning Resources
(LR) Portal
B. Other Learning
Resources
Pictures of Filipino celebrities
IV. PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that students will
learn well. Always be guided by demonstration of learning by the students which you can infer from
formative assessment activities. Sustain learning systematically by providing students with multiple ways to
learn new things, practice the learning, questions their learning processes, and draw conclusions about
what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment
for each step.
A. Review previous
lesson Or presenting
the new lesson
The teacher lets the students recall about finding the greatest common factor (GCF)
of the given numbers using flash cards.
1. 3 , 6
2. 4, 6
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pf4
pf5
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Daily Lesson Log of M8AL-Ia-b-1 (Week 1 Day 1) School Grade level Grade 8 Teacher Learning Area Mathematics Teaching Date and Time Quarter First I. OBJECTIVES Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary procedure must be followed and needed, additional lessons, exercises and remedial activities may be done for developing content knowledge and competencies. These are assessed using Formative Assessment Strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides. A. Content Standards The learners demonstrate understanding of key concepts of factors of polynomials B. Performance Standards The learners formulate real-life problems involving factors and solve these with utmost accuracy using a variety of strategies. C. Learning Competencies/ Objectives Learning Competency: 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- Learning Objectives:

  1. Identify the expression that can be factored
  2. Determine the process of factoring using greatest common monomial factor
  3. Show appreciation in factoring
  4. Find factors of a given polynomials II. CONTENT Factoring polynomials with greatest common monomial factor III. LEARNING RESOURCES Curriculum guide, Teacher’s guide, Learner’s module **A. References
  5. Teacher's Guide** Module 1: Pages 29- 2. Learner's Module Pages 27- **3. Textbook Pages
  6. Additional Materials From Learning Resources (LR) Portal B. Other Learning Resources** Pictures of Filipino celebrities IV. PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that students will learn well. Always be guided by demonstration of learning by the students which you can infer from formative assessment activities. Sustain learning systematically by providing students with multiple ways to learn new things, practice the learning, questions their learning processes, and draw conclusions about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. A. Review previous lesson Or presenting the new lesson The teacher lets the students recall about finding the greatest common factor (GCF) of the given numbers using flash cards.
  7. 3 , 6
  8. 4, 6

Possible responses:

  1. 3
  2. 2
  3. 12
  4. 7
  5. 3 B. Establishing a purpose for the lesson The teacher states that after studying polynomials in grade 7 which are special products, that is, polynomials which are the results of multiplying polynomials of particular forms, we can now take a look at how to determine the factors of these special products. The teacher then will ask the student to recall what they have learned before about factors. He/she will state that factoring is the process of obtaining the factors of a product. It is the reverse of the process of finding the product. C. Presenting examples/ instances of the new lesson the teacher lets the students observe the pictures of the famous Filipino celebrities that are posted or projected on the board.(Localization and Contextualization) The teacher ask the following guide questions:
  6. What are the things common to these pictures?
  7. Are there things that make them different?
  8. Can you spot things that are found on one picture but not on the other two?
  9. What are the things common to two pictures but not on the other? Possible responses for the given questions :

1. The persons on the pictures are actors/ heroes/ good citizens.

2. The person on the first picture is a police man while the other is a super

hero; Cardo uses gun, Victor uses hummer while Lakas uses sword.

3. Cardo uses a gun and his own strength while Victor and Lakas are using

super powers.

4. Cardo and Lakas are kapamilya actors while Victor is a Kapuso actor.

D. Discussing new concepts and The teacher starts the study of factoring with a discussion of Greatest Common Monomial Factor. The activity presented will be a springboard in the discussion of

Factors: 3x(x^2 +6xy^5 -8y) I. Evaluating Learning The teacher lets the students answer individually the formative assessment. Find the factors of the given polynomials

  1. 7r^4 h^5 +14rh^6
  2. 32m^3 -24mn^5 -64m^2 n
  3. 120a^2 b^4 c^7 +50abc^10 Answer key:
  4. 7rh^5 (r^3 +2h)
  5. 8m(4m^2 -3n^5 -8mn)
  6. 10abc^7 (12ab^3 +5c^3 ) J. Additional Activities or Remediation V. REMARKS VI. REFLECTION Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress. What work? What else needs to be done to help the students learn? Identify what help your instructional supervisors can provide for you so when you meet them, you can ask them relevant questions. A. No. Of learners who earned 80% of the evaluation B. No. Of learners who require additional activities for remediation who scored below 80% C. Did the remedial lesson work? No. Of learners who have caught up with the lesson D. No. Of learners who continue to require remwdiation E. Which of my teaching strategies worked well? Why did these work? F. What difficulties did I encounter which my principal or supervisor Can help me solve? G. What innovation or localized materials did I use / discover which I wish to Filipino actors were used in the presentation of new lesson part

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