Lesson Plan in Mathematics 9

LESSON PLAN IN MATHEMATICS 9 (Date: 06-05-2017)

I.

OBJECTIVES 1. Recite the quadratic equation 2. Use the quadratic formula to solve the solutions of quadratic equation

II.

SUBJECT MATTER 1. TOPIC: QUADRATIC EQUATION AND QUADRATIC FORMULA 2. REFERENCES: MATHEMATICS MATHEMATICS LEARNING MATERIALS MATERIALS 9 http//sbailey9.wikespaces.com 3. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets

III.

PROCEDURE Preliminary activities  Prayer o Checking of attendance o 

Activity Proper o Drill: Quadratic Equation  Students will complete the drill on quadratic equations that assesses student’s prerequisite knowledge.

ACTIVITY 1. The teacher will briefly review quadratic e quations form and shapes. Then the teacher will asks “where they see parabolas in real life?. 2. The teacher will introduce the first two steps in solving quadratic equation. 3. The teacher will give 3 examples 4. Then introduce the last two steps and wr ite the quadratic formula 5. The class solve the quadratic equation by plugging the values values of a,b,c into the formula.

ANALYSIS 1. What are the steps in solving quadratic equation by using quadratic formula?

ABSTRACTION 1. The following are the steps in solving quadratic equation by using quadratic formula. 1. Set the equation equal to zero in standard form 2. Identify a,b, c 3. Write the quadratic formula

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4. Plug and chug( substitute the values of a,b,c in the equation).

APPLICATION 1. Divide the class into 3 groups, e ach group will be assigned a problem to solve toget her. After the groups have solved the problem, one m ember will be asked to present pre sent and described the steps they used to solve the problem. 1. X2+ 14x = 32 2. X2 – 6x – 7 =0 3. 2X2 - 4x = 6

IV.

EVALUATION Solve the following using quadratic formula. Show all 4 steps 2X2 – 4x -3 = 0

V.

ASSIGNMENT pp.12 activity 4 : IS THE FORMULA EFFECTIVE? 1. 2X2+ 10x + 9=0 2. X2+ 7x + 9= 0

PREPARED BY:

LEONELYN H. LECERA TEACHER - I













LESSON PLAN IN MATHEMATICS 9 (Date: 06 – 06 – 2017 )

I. II.

III.

OBJECTIVES 1. Illustrate quadratic equations. SUBJECT MATTER 1. TOPIC: ILLUSTATIONS OF QUADRATIC EQUATIONS 2. REFERENCES: MATHEMATICS LEARNING MATERIALS 9 http//sbailey9.wikespaces.com 3. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper c. Drill: Quadratic Equation i. Students will complete the drill on quadratic equations that assesses student’s prerequisite knowledge. ACTIVITY 1. Ask the students to find the products o f polynomials by doing activity 1. Let them explain how they arrived at e ach product. Then, ask them to describe and determine the common characteristics of e ach product. Activity 1: Find each indicated product then answer the questions that follow: 3(x2 + 7) 2s( s – 4 )

( 2h + 7) ( 2h-7) ( w + 7) (w + 3)

2. Show to the students different e quations and let them identify which are linear and which are not. Ask them to describe those which are linear equations and differentiate these from those which are not. Activity 2: Another kind of Equation! X2 – 5x +3 = 0

c = 12n – 5

9r2 – 25 = 0

9 – 4x = 15

½ x2 + 3x = 8 r2 = 144

ANALYSIS 1. Differentiate linear and quadratic equation.













ABSTRACTION 1. A quadratic equation in one variable is a mathematical sente nce of degree 2 that can be written in the form ax2 + bx + c = 0, where a, b, and c are real numbers and a≠ 0. In the equation, ax2 is the quadratic term, bx is the linear term and c is the constant term. APPLICATION (Group activity)

Activity 4: A real step to quadratic equations. Mrs. Jacinto asked a carpenter to construct a rectangular bulletin board for her classroom. She told the carpenter that the board’s area must be 18sq.ft.

IV.

V.

EVALUATION Activity 6. Set me to your standard Write each quadratic equation in standard form, ax 2 + bx + c = 0, then identify the values of a, b, and c. 1. 3x- 2x2 = 7 2. (x +3)(x +4)= 0 3. (x +7)(x – 7 ) = 0 ASSIGNMENT 1. How are quadratic equations different from linear equations? 2. How do you write quadratic equations in in standard form? Give at least 3 examples.

PREPARED BY:














I. II.

III.

OBJECTIVES 1. Illustrate quadratic equations. SUBJECT MATTER 1. TOPIC: ILLUSTATIONS OF QUADRATIC EQUATIONS 2. REFERENCES: MATHEMATICS LEARNING MATERIALS 9 http//sbailey9.wikespaces.com 3. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets 4. TIME AND SECTION: 

7:30 -8:30 – GEN. LUNA



10: 00 – 11:00 – RIZAL



11:00 -12:00 – MABINI

PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper c. Drill: Quadratic Equation i. Students will complete the drill on quadratic equations that assesses student’s prerequisite knowledge. ACTIVITY Activity 4: A real step to quadratic equations. Mrs. Jacinto asked a carpenter to construct a rectangular bulletin board for her classroom. She told the carpenter that the board’s area must be 18sq.ft.

Activity 6. Set me to your standard Write each quadratic equation in standard form, ax2 + bx + c = 0, then identify the values of a, b, and c. 1. 3x- 2x2 = 7 2. (x +3)(x +4)= 0 3. (x +7)(x – 7 ) = 0 ANALYSIS 1. Differentiate linear and quadratic equation.













ABSTRACTION 1. A quadratic equation in one variable is a m athematical sentence of degree 2 that can be written in the form ax2 + bx + c = 0, where a, b, and c are real numbers and a≠ 0.

In the equation, ax2 is the quadratic term, bx is the linear term and c is the constant term.

APPLICATION Activity 6. Set me to your standard Write each quadratic equation in standard form, ax2 + bx + c = 0, then identify the values of a, b, and c. 1. 5 - 2x2 = 6x 2. (x - 4)2 + 8= 0 3. (2x +7)(x – 1) = 0

IV.

EVALUATION 1. How are quadratic equations different from linear equations? 2. How do you write quadratic equations in in standard form? Give at least 3 examples.

V.

ASSIGNMENT 1. Give 5 examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.

PREPARED BY:

LEONELYN H. LECERA TEACHER - I
















I. II.

III.

OBJECTIVES 1. Solve quadratic equations by extracting square root SUBJECT MATTER 1. TOPIC: Solve quadratic equations by extracting square root 2. REFERENCES: MATHEMATICS LEARNING MATERIALS 9 http//sbailey9.wikespaces.com 3. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets 4. TIME AND SECTION: 

7:30 -8:30 – GEN. LUNA



10: 00 – 11:00 – RIZAL



11:00 -12:00 – MABINI

PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper MOTIVATION: How does finding solutions of quadratic equations facilitate in solving reallife problems and in making decisions? ACTIVITY 1. Let the students find the square roots of some numbers. 2. Ask them to explain how they ar rived at the square roots of numbers. 3. Let them describe and identify rational and irrational numbers. Activity 1: find my roots!!!(pair quiz) 1. √16 =

6. -√289













ANALYSIS 1. What kind of quadratic equations that can be solved by applying extracting square roots?

ABSTRACTION 1. Quadratic equations that can be written in the form x2 = k can be solved by applying the following properties: 1. If k>0, then x2 = k has two real solutions or roots: x=±√k. 2. If k= 0, then x2 = k has one real solution or root: x = o 3. If k< 0, then x2 = k has no real solutions or roots.

APPLICATION ACTIVITY 3: EXTRACT ME!!!

IV.

V.

1. x2 = 16 2. t2 = 81 3. r2 – 100 = 0 4. (x -4)2 = 169 5. 2x2 = 50 EVALUATION 1. Describe quadratic equations with two solutions, 1 solution, and no solution. Give at least two examples for each 2. Give at least five quadratic equations that can be solved by extracting square roots, then solve. ASSIGNMENT 

Factor each of the following polynomials. 1. 2x2 – 8x 2. -3s2 +9s 3. s2 + 8s +12














I. II.

III.

OBJECTIVES 1. Solve quadratic equations by factoring. SUBJECT MATTER 1. TOPIC: Solve quadratic equations by Factoring. REFERENCES: MATHEMATICS LEARNING MATERIALS 9L: ((M9AL-Ia-b-1) ((M9AL-Ia-b-1)  http//sbailey9.wikespaces.com 2. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets 3. TIME AND SECTION: 7:30 -8:30 – GEN. LUNA  

10: 00 – 11:00 – RIZAL



11:00 -12:00 – MABINI

PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper REVIEW: Recall Factoring polynomials ACTIVITY 1. Let the students factor some polynomials with degree 2. 2. Ask them to explain how they arrived at the factor of those polynomial. Activity 1: What made me?!!!(pair quiz) 2x2 – 8x 2. X2 + 5x – 6 3. 5t – 10t2 4. 4r2 + 20r + 25 1.













APPLICATION ACTIVITY 3: Factor then solve! 1. 2. 3. 4. 5.

IV.

x2 + 7x = 0 t2 + 8t +16 = 0 6r2 + 18r = 0 x2 - 10x+ 25 = 0 4r2 + 9 = 12r

EVALUATION 1. Which of the following quadratic equations may be solved more appropriately by factoring? Explain your answer. a. 2x2 = 72 b. T2 +12t + 36 =0 c. W2 – 64 =0 d. 2s2 + 8s – 10 = 0 e.

V.

ASSIGNMENT 1. Do you agree that not all quadratic equations can be solved by factoring? Justify your answer by giving examples.

PREPARED BY:














I. II.

III.

OBJECTIVES 1. Solve quadratic equations by factoring. SUBJECT MATTER 1. TOPIC: Solve quadratic equations by Factoring. REFERENCES: MATHEMATICS LEARNING MATERIALS 9: (M9AL-Ia-b-1) (M9AL-Ia-b-1)  http//sbailey9.wikespaces.com 2. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets 3. TIME AND SECTION: 

7:30 -8:30 – GEN. LUNA



10: 00 – 11:00 – RIZAL



11:00 -12:00 – MABINI

PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper REVIEW: Recall Factoring polynomials ACTIVITY 1. Let the students factor some polynomials with degree 2. 2. Ask them to explain how they arrived at the factor of those polynomial.

ACTIVITY 7: MEET MY DEMANDS! Answer the following. Mr. Lakandula would like to increase his production of milkfish due to its high demand in the market. He is t hinking of making a larger fishpond in his 8000 sq m lot near a river. Help mr. Lakandula by making a sketch plan of the fishpond to be made. Out of the given situation and the sketch















APPLICATION ACTIVITY 3: Factor then solve! 6. 7. 8. 9. 10.

VI.

x2 + 7x 7x = 0 t2 + 8t +16 = 0 6r2 + 18r = 0 x2 - 10x+ 25 = 0 4r2 + 9 = 12r

EVALUATION 1. Which of the following quadratic equations may be solved more appropriately by factoring? Explain your answer. a. 2x2 = 72 b. T2 +12t + 36 =0 c. W2 – 64 =0 d. 2s2 + 8s – 10 = 0 e.

VII.

ASSIGNMENT 1. Do you agree that not all quadratic equations can be solved by













LESSON PLAN IN MATHEMATICS 9 (Date: 06 – 19 – 2017 ) I.

II.

III.

OBJECTIVES 1. Solve quadratic equations by completing the square. SUBJECT MATTER 1. TOPIC: Solve quadratic equations by completing the square. REFERENCES: MATHEMATICS LEARNING MATERIALS 9: (M9AL-Ia-b-1) (M9AL-Ia-b-1)  http//sbailey9.wikespaces.com 2. MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets 3. TIME AND SECTION: 

7:30 -8:30 – GEN. LUNA



10: 00 – 11:00 – RIZAL



11:00 -12:00 – MABINI

PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper 1. Activate students prior mathematical knowledge and skills and provide them opportunities to connect these to their lesson Solving Quadratic Equations by Completing the Square.













1. 2. 3. 4. 5. 6. 7.

IV.

To solve the quadratic equation ax 2 + bx + c = 0 by completing the square, the following steps can be followed: Divide both sides of the equation by a the n simplify. Write the equation such that the terms with variables are on the left side of the equation w hile the constant term is on the right side. Add the square of one-half of the coefficient of x on both sides of the equation. The left side of the equation becomes a perfect square trinomial. Express the perfect square trinomial on the left side of the equation as a square of a binomial. Solve the resulting quadratic equation by Extracting Square root. Solve the resulting linear equations. Check the solutions obtained against the original equation.

EVALUATION

ACTIVITY 5: COMPLETE ME! 1. 2. 3. 4. 5.

X2 – 2X = 3 s2 + 4s – 21 = 0 X2 – 5x – 6 = 0 t2 + 10t + 9 = 0 r2 – 10r = -17














I. II.

III.

OBJECTIVES 1. Solve quadratic equations by completing the square. SUBJECT MATTER TOPIC: Solve quadratic equations by completing the square.  REFERENCES: MATHEMATICS LEARNING MATERIALS 9: (M9AL-Ia-b-1) (M9AL-Ia-b-1)  http//sbailey9.wikespaces.com MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets  TIME AND SECTION:  7:30 -8:30 – GEN. LUNA  

10: 00 – 11:00 – RIZAL



11:00 -12:00 – MABINI

PROCEDURE Preliminary activities a. Prayer b. Checking of attendance Activity Proper 2. Activate students prior mathematical knowledge and skills and provide them opportunities to connect these to their lesson Solving Quadratic Equations by Completing the Square.













To solve the quadratic equation ax 2 + bx + c = 0 by completing the square, the following steps can be followed: 1. Divide both sides of the equation by a then simplify. 2. Write the equation such that the terms with variables are on the left side of the equation w hile the constant term is on the right side. 3. Add the square of one-half of the coefficient of x on both sides of the equation. The left side of the equation becomes a perfect square trinomial. 4. Express the perfect square trinomial on the left side of the equation as a square of a binomial. 5. Solve the resulting quadratic equation by Extracting Square root. 6. Solve the resulting linear equations. 7. Check the solutions obtained against the original equation.

IV.

EVALUATION

ACTIVITY 5: COMPLETE ME! i. ii. iii. iv. v.

X2 – 2X = 3 s2 + 4s – 21 = 0 X2 – 5x – 6 = 0 t2 + 10t + 9 = 0 r2 – 10r = -17
















I. II.

OBJECTIVES 1. Solve quadratic equations by QUADRATIC FORMULA. SUBJECT MATTER TOPIC: Solve quadratic equations by using the quadratic formula.  REFERENCES: MATHEMATICS LEARNING MATERIALS 9 : (M9AL-Ia-b-1)  http//sbailey9.wikespaces.com MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets  

TIME AND SECTION: 

7:30 -8:30 – GEN. LUNA



10: 00 – 11:00 – RIZAL













Abstraction 1. To solve quadratic equation ax2 + bx + c = 0 using the quadratic formula, determine the values of a, b,and c, then substitute these in the equation 

=

− ±√ −4 . Simplify the 2

result if possible, then check the solutions obtained against the original equation.

IV.

EVALUATION ACTIVITY 5: Is the formula effective? 1. X2 + 10x + 9=0 2. X2 -12x +35 = 0














I. II.

OBJECTIVES 1. Characterize the roots of a quadratic equation using the discriminant. SUBJECT MATTER TOPIC: The nature of the roots of a quadratic equation.  REFERENCES: MATHEMATICS LEARNING MATERIALS 9 : (M9AL-Ia-b-2)  http//sbailey9.wikespaces.com MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets  

TIME AND SECTION: 

7:30 -8:30 – GEN. LUNA



10: 00 – 11:00 – RIZAL













Analysis 1. What are the ways to describe the roots of a quadratic equation? Abstraction 1. The value of the expression b2 – 4ac 4ac is called the discriminant of the quadratic equation 2 ax +bx + c = 0. This value can be used to describe the the nature of the roots of a quadratic equation. It can be zero, positive and perfect square, positive but not perfect square, or negative.  When b2 – 4ac 4ac is equal to zero, then the roots are real numbers and are equal. 



When b2 – 4ac 4ac is greater than zero and a perfect square, then the roots are rational numbers but are not equal. When b2 – 4ac 4ac is greater than zero but not perfect square, then the roots are irrational numbers and are not equal.














I.

II.

OBJECTIVES 1. Describe the relationship between the coefficient and the roots of a quadratic equation. SUBJECT MATTER TOPIC: The sum and product of the roots of a quadratic equation.  REFERENCES: MATHEMATICS LEARNING MATERIALS 9 : (M9AL-Ia-b-2)  http//sbailey9.wikespaces.com MATERIALS: Visual aids, textbooks, chalk, eraser, activity sheets  TIME AND SECTION:  7:30 -8:30 – GEN. LUNA 















Application














I.

OBJECTIVES















Abstraction 1. In numbers 1, 2, 3 ; factoring was used,4 quadratic formula, 5 was completing the square. 2. By using the concepts of LCD(least common de nominator)














I.

OBJECTIVES













IV.

EVALUATION(QUIZ)  Find the solution/s of each of the following equations. a.x(x- 10) =-21 b. 1/3x + 4x/6 =1



















































Lesson Plan in Mathematics 9

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