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 extracting square roots.
II. Content: Patterns and Algebra – Solving Quadratic Equations by Extracting Square Roots
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:
- Ask:
- “What is a square root?”
- “What is the square root of 36? Of 0? Of -25?”
- Let students respond aloud or write on the board. Use this to activate prior knowledge and identify misconceptions.
B. Establishing a purpose for the lesson:
- “Today, we’ll learn how to solve simple quadratic equations using square roots. This will help you solve problems faster!”
- Tip: Connect this to real-life scenarios like calculating dimensions or physics problems.
C. Presenting illustrative examples/instances of the lesson:
- Write on the board:
- \( x^2 = 49 \)
- \( a^2 = 0 \)
- \( b^2 = -36 \)
- Ask:
- “Can we get the square root of each side?”
- “What answer do we get?”
- Explain the use of the ± symbol for positive roots and the concept of no real solution for negative radicands.
D. Discussing new concepts and practicing new skills #1:
- Group Work: Pair students and give each pair two equations:
- \( x^2 = 81 \)
- \( m^2 = -16 \)
- Let them solve and present their answers. Provide hints and guide their reasoning.
E. Discussing new concepts and new skills #2:
- Ask:
- “Why do we write ± before the square root?”
- “How do we know if it has no real solution?”
- Have volunteers solve on the board:
- \( x^2 = 100 \)
- \( y^2 + 25 = 0 \Rightarrow y^2 = -25 \)
F. Developing mastery (guides formative assessment):
- Individual Practice: Solve the following:
- \( x^2 = 121 \)
- \( z^2 = 0 \)
- \( k^2 = -49 \)
- Ask students to:
- Show their solution step-by-step.
- Identify how many real solutions each equation has.
G. Making generalizations and abstractions about the lesson:
- Ask:
- “When can we use square roots to solve an equation?”
- “What should we remember when solving equations like \( x^2 = k \)?”
- Expected answer:
- “We can solve \( x^2 = k \) using square roots. We use ± if \( k \) is positive. If \( k \) is negative, there’s no real solution.”
H. Finding practical applications of concepts and skills in daily living:
- Ask: “Where can we use square roots?”
- Examples:
- To find the side of a square field (Area = side²).
- In physics (e.g., velocity, acceleration formulas).
I. Evaluation of Learning:
- Short Quiz: Solve the following:
- \( x^2 = 64 \)
- \( y^2 = -81 \)
- \( m^2 = 0 \)
J. Additional activities for application or remediation:
- Pair students who need help with those who have mastered the skill.
- Use manipulatives like square tiles to visualize square roots.
(alert-passed) This lesson plan includes peer collaboration, conceptual understanding, and real-world application. Teachers are encouraged to adapt based on learner needs.
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LESSON PLAN: Solve quadratic equations by extracting square roots.
Grade 9
