DAILY LESSON LOG in MATH 9 (1st Quarter)
I. Objectives:
LC: Solves quadratic equations by: (a) extracting the square; (b) factoring; (c) completing the square; and (d) using the quadratic formula. (M9AL-Ig-h-4)
At the end of the lesson, the learners should be able to:
- Solve quadratic equations by factoring.
II. Content: Patterns and Algebra – Solving Quadratic Equations by Factoring
III. Learning Resources:
- BEAM Second Year Module 4 (TG)
- EASE Module Second Year Quadratic Equations Module 3 Chapter 6
- LM pp. 18–26
- www.kutasoftware.com
IV. Procedures:
A. Reviewing previous lesson or presenting the new lesson:
- Activity 1: What Made Me? – Learners factor polynomials from LM p. 27.
- Ask:
- “How did you factor each polynomial?”
- “Which technique did you use?”
- “How do you verify your factors?”
- “Which polynomial was most difficult and why?”
- Tip: Use algebra tiles or visual models to reinforce factoring concepts.
B. Establishing a purpose for the lesson:
- “Today, we’ll solve quadratic equations using factoring. This method is efficient and builds on your factoring skills.”
C. Presenting illustrative examples/instances of the lesson:
- Write on the board:
- \( x + 7 = 0 \)
- \( x - 4 = 0 \)
- \( (x + 7)(x - 4) = 0 \)
- Ask:
- “What values of \( x \) make each equation true?”
- “Are the solutions of the first two equations the same as the third?”
- Tip: Use the zero product property to explain why factoring works.
D. Discussing new concepts and practicing new skills #1:
- Compare the structure and solutions of the three equations above.
- Discuss how factoring leads to simpler equations that can be solved directly.
E. Discussing new concepts and new skills #2:
- Steps to solve quadratic equations by factoring:
- Write the equation in standard form: \( ax^2 + bx + c = 0 \)
- Factor the quadratic expression.
- Apply the zero product property: set each factor equal to zero.
- Solve each resulting equation.
- Check solutions by substituting into the original equation.
F. Developing mastery (guides formative assessment):
- Activity 4: Factor Then Solve! – Learners solve quadratic equations by factoring and answer reflection questions (LM p. 31).
- Tip: Encourage students to explain their reasoning and check their answers.
G. Making generalizations and abstractions about the lesson:
- Problem: A rectangular metal manhole with an area of 0.5 m² is situated along a cemented pathway. The length is 8 m longer than the width.
- Ask:
- “How do we represent the length and width algebraically?”
- “What equation models the area?”
- “How do we solve for the dimensions?”
- Tip: Use diagrams and real-world context to deepen understanding.
H. Finding practical applications of concepts and skills in daily living:
- Ask: “How did you find the solutions by factoring?”
- Discuss how factoring helps in solving geometry and business problems.
I. Evaluation of Learning:
- Refer to the attached worksheet for assessment.
J. Additional activities for application or remediation:
- Identify which equations are best solved by factoring:
- \( 2x^2 = 72 \)
- \( t^2 + 12t + 36 = 0 \)
- \( w^2 - 64 = 0 \)
- \( 2s^2 + 8s - 10 = 0 \)
- Discuss: “Can all quadratic equations be solved by factoring?”
- Challenge: Solve \( (x - 4)^2 = 9 \) using both factoring and square root methods.
(alert-passed) This lesson plan integrates conceptual understanding, real-world application, and multiple solution strategies. Teachers are encouraged to model and scaffold each step clearly.
Share to other apps
.png)
LESSON PLAN: Solve quadratic equations by factoring.
Grade 9
