DAILY LESSON LOG in MATH 9 (Quarter 1)
I. Objectives:
LC: The learner illustrates quadratic equations. (M9AL-Ig-1)
At the end of the lesson, the learners should be able to:
- Identify and describe quadratic equations.
II. Content: Patterns and Algebra: The Quadratic Equations Defined
III. Learning Resources:
- Teacher’s Guide pages
- Learner’s Materials pages
- Textbook pages
- Additional Materials from Learning Resource (LR) portal
- BEAM Second Year Module 4 (TG)
- EASE Module Second Year Quadratic Equations Module 3 Chapter 6 pp.44-46 (LM)
- NFE Accreditation and Equivalency Learning Material. Equation (Part 2). 2001. Pp.38-41
IV. Procedures:
A. Reviewing previous lesson or presenting the new lesson:
- Teacher will show pictures to the students and ask questions about real-life quantities and mathematical representations.
B. Establishing a purpose for the lesson:
- Find each indicated product then answer the questions that follow:
- \(3(x^2 + 7) = 3x^2 + 21\)
- \((w + 7)(w + 3) = w^2 + 10w + 21\)
- \((3 - 4m)^2 = 9 - 24m + 16m^2\)
- Questions:
- How did you find each product?
- What mathematics concepts or principles did you apply?
- How would you describe the products obtained?
C. Presenting illustrative examples/instances of the lesson:
- Activity 2: Another Kind of Equation!
- \(x^2 - 5x + 3 = 0\)
- \(9r^2 - 25 = 0\)
- \(C = 12n - 5\)
- \(9 - 4x = 15\)
- \(2s + 3t = -7\)
- \(\frac{1}{2}x^2 + 3x = 8\)
- \(6p - q = 10\)
- \(\frac{3}{4}h + 6 = 0\)
- \(8k - 3 = 12\)
- \(4m^2 + 4m + 1 = 0\)
- \(t^2 - 7t + 6 = 0\)
- \(r^2 = 144\)
- Questions:
- Which of the given equations are not linear? Why?
- How are these equations different from those which are linear?
- What common characteristics do these equations have?
D. Discussing new concepts and practicing new skills #1:
- Identify which equations are linear and which are not, and explain why.
E. Discussing new concepts and new skills #2:
- Describe linear equations and compare them with non-linear equations.
F. Developing mastery (guides formative assessment):
- Determine which of these are quadratic equations:
- \(C = 2\pi r\)
- \(x + 3x = 0\)
- \(3x^2 - 5 = 0\)
- \(A = \pi r^2\)
- \(x^2 - 2x + 1 = 0\)
- \(2x^2 - 5x + 1 = 0\)
G. Making generalizations and abstractions about the lesson:
- Give real-life situations where quadratic equations can be applied.
H. Finding practical applications of concepts and skills in daily living:
- Identify which equations are quadratic and which are not.
I. Evaluation of Learning:
- Identify which of the following equations are quadratic and which are not:
- \(3m + 8 = 15\)
- \(12 - 4x = 0\)
- \(x^2 - 5x + 10 = 0\)
- \(2t^2 - 7t = 12\)
J. Additional activities for application or remediation:
- Analyze real-life situations and determine if they illustrate quadratic equations. Justify with mathematical sentences.
- List three methods for solving quadratic equations.
(alert-passed) The lesson plan can be adjusted based on the grade level and the available resources. The teacher may also use different strategies to achieve the objectives.
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