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 – for additional practice worksheets
IV. Procedures:
A. Reviewing previous lesson or presenting the new lesson:
- Activity 1: Find My Roots! – Learners find square roots of perfect squares. This primes them for solving equations like \( x^2 = k \).
- Tip: Use visual aids like square tiles or number lines to reinforce the concept of square roots.
B. Establishing a purpose for the lesson:
- Ask guiding questions:
- How did you find each square root?
- How do you verify that your solution satisfies the equation?
- What do you think is our goal today?
- Tip: Encourage learners to reflect on their prior knowledge and connect it to today's topic.
C. Presenting illustrative examples/instances of the lesson:
- Activity 5: Anything Real or Nothing Real? – Learners solve equations and determine if solutions are real or not.
- Example equations:
- \( x^2 = 25 \Rightarrow x = \pm 5 \)
- \( x^2 = -9 \Rightarrow \text{No real solution} \)
- Tip: Use color-coded cards to classify equations with real vs. non-real solutions.
D. Discussing new concepts and practicing new skills #1:
- Explain the method of solving \( x^2 = k \) by extracting square roots:
- If \( k > 0 \), then \( x = \pm \sqrt{k} \)
- If \( k = 0 \), then \( x = 0 \)
- If \( k < 0 \), then no real solution
- Tip: Use a flowchart to help learners decide which case applies.
E. Discussing new concepts and new skills #2:
- Refer to LM pp. 21–22 for guided examples. Walk through each step with the class.
- Tip: Pair learners to solve and explain each step to a partner.
F. Developing mastery (guides formative assessment):
- Activity 8: Extract Then Describe Me! – Learners solve equations and answer reflection questions.
- Example: Solve \( x^2 = 36 \), then describe what the solutions mean in a real-world context.
- Tip: Use sentence starters like “This solution means…” to scaffold responses.
G. Making generalizations and abstractions about the lesson:
- Activity 3: Air Out! – Use LM p. 19 to reinforce concepts.
- Critical thinking prompt: “Sheryl says the solutions of \( w^2 = 49 \) and \( w^2 + 49 = 0 \) are the same. Do you agree?”
- Tip: Encourage learners to justify their answers using mathematical reasoning.
H. Finding practical applications of concepts and skills in daily living:
- Ask learners to identify where square roots appear in real life (e.g., area of squares, physics formulas).
- Discuss how extracting square roots helps in solving problems involving symmetry or optimization.
I. Evaluation of Learning:
- Use the attached worksheet to assess understanding. Include both computational and reflective questions.
J. Additional activities for application or remediation:
- Hands-on activity: Use square tiles to build equations like \( x^2 = 16 \), then solve.
- Challenge: Create your own quadratic equation and explain how to solve it.
(alert-passed) This lesson plan includes strategies for differentiation, critical thinking, and real-world application. Teachers are encouraged to adapt activities to suit their learners' needs.
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LESSON PLAN: Solve quadratic equations by extracting the root.
Grade 9
