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GRADE 9 LESSON PLAN IN MATH, Lecture notes of Mathematics

Mathematics

THIS IS FOR GRADE 9 SECOND QUARTER LESSON

Typology: Lecture notes

2023/2024

Uploaded on 03/15/2025

maria-cristina-colima
maria-cristina-colima 🇵🇭

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Introduction of Equation that are written in a Rational Expression
GRADE 9
Jade
LEARNING
PLAN for 2
weeks
School
Blessed School of Salitran Inc.
Grade
Level
GRADE 9
Teacher
Maria Cristina L. Colima-Lim
Learning
Area
Mathematics
Teaching
Date and
Time
October 27- 31, 2024 (1st week)
November 4-8, 2024 (2nd week)
9:55 AM – 10:50 PM
Quarter
SECOND
Content Standard
The learner demonstrates understanding of key concepts of quadratic
equations, inequalities and functions, and rational algebraic
expressions
Performance Standard
The learner is able to investigate thoroughly mathematical
relationships in various situations, formulate real-life problems
involving quadratic equations, inequalities and functions, and rational
algebraic equations and solve them using a variety of strategies.
Competencies
COMPETENCY : solves equations transformable to quadratic
equations (including rational algebraic expressions ) See reference
book page 39
I. OBJECTIVES
Knowledge:
identifies quadratic equations not written in standard form
Skills:
solves quadratic equations that are not written in standard forms
Attitude:
show appreciation in one’s competence in solving quadratic
equation that are not in standard form
II. CONTENT
Solving Rational Algebraic Equations Transformable to
Quadratic Equations
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide Pages
Teacher’s Guide
2. Learner’s Materials Pages
Learner’s reference book: Empowering Math 9
3. Additional Materials
Other reference book from Library
B.Other Learning Resources
Quadratic Equation. Retrieved from https://www.google.ph.com
IV. PROCEDURES
A. Reviewing or presenting the
new lesson
Recalling Multiplication of Polynomials
Direction: Get the product of the following:
1. 1. x (x + 5) Expected answer : x2+ 5x
2. 2. x (x – 10) Expected answer : x2– 10x
3. 3. 3s (s-2) Expected answer : 3s2+ 6s
4.
5. Note To the Teacher: You can add more exercises if needed
6.
B. Establishing a purpose for the
lesson
Important Notes:
There are equations that are transformable into quadratic equations
which may be given in different forms. Hence, the procedures in
transforming these equations into quadratic equations may also be
different.
Motive Question:
Once the equations are transformed into quadratic equations, what are
the techniques that we will use to solve them?
Expected answer: The different methods of solving quadratic
pf3

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Introduction of Equation that are written in a Rational Expression

GRADE 9

Jade LEARNING PLAN for 2 weeks School Blessed School of Salitran Inc. Grade Level

GRADE 9

Teacher Maria Cristina L. Colima-Lim Learning Area Mathematics Teaching Date and Time October 27- 31, 2024 (1st^ week) November 4-8, 2024 (2nd^ week) 9 : 55 AM – 10:50 PM Quarter SECOND Content Standard The learner demonstrates understanding of key concepts of quadratic equations, inequalities and functions, and rational algebraic expressions Performance Standard The learner is able to investigate thoroughly mathematical relationships in various situations, formulate real-life problems involving quadratic equations, inequalities and functions, and rational algebraic equations and solve them using a variety of strategies. Competencies COMPETENCY : solves equations transformable to quadratic equations (including rational algebraic expressions ) See reference book page 39 I. OBJECTIVES Knowledge: (^)  identifies quadratic equations not written in standard form Skills: (^)  solves quadratic equations that are not written in standard forms Attitude: (^)  show appreciation in one’s competence in solving quadratic equation that are not in standard form II. CONTENT Solving Rational Algebraic Equations Transformable to Quadratic Equations III. LEARNING RESOURCES A. References

  1. Teacher’s Guide Pages Teacher’s Guide
  2. Learner’s Materials Pages Learner’s reference book: Empowering Math 9
  3. Additional Materials Other reference book from Library B.Other Learning Resources Quadratic Equation. Retrieved from https://www.google.ph.com IV. PROCEDURES A. Reviewing or presenting the new lesson Recalling Multiplication of Polynomials Direction: Get the product of the following: 1. 1. x (x + 5) Expected answer : x^2 + 5x 2. 2. x (x – 10) Expected answer : x^2 – 10x 3. 3. 3s (s-2) Expected answer : 3s^2 _+ 6s
  5. Note To the Teacher: You can add more exercises if needed 6._ B. Establishing a purpose for the lesson Important Notes: There are equations that are transformable into quadratic equations which may be given in different forms. Hence, the procedures in transforming these equations into quadratic equations may also be different. Motive Question: Once the equations are transformed into quadratic equations, what are the techniques that we will use to solve them? Expected answer: The different methods of solving quadratic

equations, such as factoring, extracting the square roots, completing the square, and using the quadratic formula, can be used to solve these transformed equations. C. Presenting examples of the new lesson Discussion of illustrative example: Solve : x (x-5) = 36 Step 1: Simplify the expression: x^2 + 5x = 36 Step 2: Write in standard form: x^2 + 5x - 36= 0 Step 3: Find the solutions (use any of the four methods) Try factoring: x^2 + 5x - 36= 0 (x – 9)(x + 4) = 0 x = 9 or x = - Step 4. Check whether the obtained values of x make the equation x (x-5) = 36 true. Note to the Teacher: If the obtained values of x which is 9 or -4 make the equation x (x-5) = 36 true, then the solutions of the equation are: x = 9 or x = - D. Discussing new concepts and practicing new skills # Teacher-Guided Activity: Solve x (x -10) = - (Note to the Teacher: Guide the learners in solving the equation using the recommended steps.) Possible solution: x (x -10) = - x^2 -10x = - x^2 -10x + 21 = 0 (Note to the Teacher: Encourage them to try other methods, other than factoring) Key answer: x = 7 or x = 3 E. Discussing new concepts and practicing new skills # Dyad: Solve: 3s (s -2) = 12s (Note to the Teacher: Ask volunteers to discuss their answers) Possible solution: 3s (s -2) = 12s 3s^2 – 6s = 12s 3s^2 – 6s - 12s = 0 3s^2 – 18s = 0 (Note to the teacher: Allow students to use any method of their choice) Key answer: s = 0 or s = 6 F. Developing Mastery Group activity: Find the roots of the following equation: (x + 3) (x – 5) = 5 Key answer: or G. Making Generalizations and abstractions about the lesson Guide question: How do you solve quadratic equation that are not written in standard form Key Answer: Step 1: Simplify the expression Step 2: Write in standard form Step 3: Find the solutions (use any of the four methods: factoring, extracting the square roots, completing the square, and using the quadratic formula,)