G9 - First Quarter - Worksheet and Performance Task

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Worksheet #1 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

PART I Directions: Solve the following quadratic equations using the property of square roots “Extracting Square Roots”. Box the final answer. 1. 𝑥 2 − 5 = 35

2. −2𝑥 2 + 15 = 𝑥 2 − 12

3.(𝑥 + 3)2 = −28

4. 2𝑥 2 + 4 = 𝑥 2 + 19

PART II Directions: Solve the following Quadratic Equations by Factoring, Completing the Square and Using Quadratic Formula.

1. 9𝑥 2 + 10 = 91 FACTORING

COMPLETING THE SQUARE

QUADRATIC FORMULA

COMPLETING THE SQUARE

QUADRATIC FORMULA

2. 10x2 – 2x = 8 FACTORING

Teacher’s Feedback: ____________________________________________________________________________________________________ ____________________________________________________________________________________________________ ____________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Worksheet #2 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

PART I Directions: Determine the nature of the roots of the following quadratic equations using the discriminant. 1. 𝑥 2 − 2𝑥 − 15 = 0

discriminant: ________ nature of the roots: ________________________

2. 4𝑥 2 − 28𝑥 + 49 = 0

discriminant: ________ nature of the roots: ________________________

3. 8𝑚2 + 2𝑚 + 70 = 0

discriminant: ________ nature of the roots: ________________________

2

4. 2𝑥 − 3𝑥 = −2

discriminant: ________ nature of the roots: ________________________

5. 3𝑥 2 − 2𝑥 + 5 = −12 discriminant: ________ nature of the roots: ________________________ 6. −5𝑥 − 34 = −𝑥 2

discriminant: ________ nature of the roots: ________________________

7. 9𝑥 2 + 24𝑥 + 16 = 0

discriminant: ________ nature of the roots: ________________________

2

8. 𝑥 + 4𝑥 = −4 2

discriminant: ________ nature of the roots: ________________________

9. −𝑥 − 4 = 0

discriminant: ________ nature of the roots: ________________________

10. −2𝑥 2 − 𝑥 − 1 = 0

discriminant: ________ nature of the roots: ________________________

PART II Directions: Complete the following table. QUADRATIC EQUATION

SUM OF THE ROOTS

PRODUCT OF THE ROOTS

QUADRATIC EQUATION

SUM OF THE ROOTS

PRODUCT OF THE ROOTS

6. −4 = 𝑥 2 7. −7𝑥 + 3𝑥 2 − 2 = 8 8. 9𝑥 2 + 29𝑥 + 6 = 0 9. 𝑥 2 − 15x − 34 = 0 10. 3𝑥 2 − 5𝑥 + 2 = 0

1. x2 + 6x + 9 = 0 2. x2 + 9x + 20 = 0 3. 𝑥 2 + 5𝑥 + 4 = 0 4. 𝑣 2 − 7v = −6 5. 3𝑥 2 − 7𝑥 + 2 = 0 Teacher’s Feedback:

____________________________________________________________________________________________________ ____________________________________________________________________________________________________ ____________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Worksheet #3 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

PART I Directions: Transform the following rational equations into quadratic form. Write the solution on a separate sheet.

1.

1 1 7 + = 𝑥 1 + 𝑥 12

2.

2𝑥 + 1 = 𝑥−1 𝑥+2

3.

– (𝑥 + 2) =3 𝑥−1

4.

𝑥 −3 18 = + 𝑥+4 𝑥 − 2 (𝑥 − 2)(𝑥 + 4)

1 3 3 5. + = 2𝑥 5𝑥 10 7.

3 1 1 − = 𝑥 + 2 𝑥 5𝑥

9.

1 2 1 + = 𝑥 3𝑥 5

2𝑥 2 5𝑥 6. + = 10 5 4 8. 10.

3𝑥 𝑥 = 𝑥+1 𝑥−2 2 𝑥+3 = 𝑥 5

PART II Directions: On a separate sheet of paper, solve to show the solution and graph the following quadratic inequalities.

1. 𝑥 2 − 6𝑥 + 9 > 0 2. 𝑥 2 + 5𝑥 − 6 ≤ 0 3. 2𝑥 2 + 3𝑥 ≥ 2 4. 6𝑦 2 ≤ 4 − 5𝑦 5. 3𝑥 2 + 5𝑥 − 2 > 0

6. 9𝑥 2 < 1 7. 𝑟 2 + 7𝑟 > 0 8. -𝑠 2 − 9𝑠 ≤ 8 9. 3𝑡 2 − 7𝑡 < 0 10. 𝑥 2 − 3𝑥 − 4 < 0

Teacher’s Feedback: ____________________________________________________________________________________________________ ____________________________________________________________________________________________________ ____________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Worksheet #4 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

PART I Directions: Transforms the quadratic function in general form y = ax2 + bx + c into standard form (vertex form) y = a(x-h)2 + k.

1 . y = 2x2 + 3x – 4 2. y = 5x2 – 7x + 2 3. y = 3x2 – 4x + 5 4. y = (x – 4)(x + 3) 5. y = -(2x – 3)2 + (3x – 4)

_________________________________ _________________________________ _________________________________ _________________________________ _________________________________

PART II Directions: Complete the tables below and graph on the same coordinate plane in a separate sheet of paper.

1. f(x) = 3(x – 2)2 + 5

2. m(x) = -2x2 + 4x – 8

PART III Directions: Determine the quadratic function that is described by the following: 1. 2. 3. Zeros are 4

x 1 2 3

and -1

y 8 13 20

Teacher’s Feedback: ____________________________________________________________________________________________________ ____________________________________________________________________________________________________ ____________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Performance Task #1 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

"Doodle notes" are artistic and unique visual note-taking method with built-in features that increase focus and memory in learning. This helps the brain to process certain kinds of information. Doodle notes are good for representing your ideas and understandings. A mix of handwriting and hand drawing makes it easy and effective to capture what you see, hear, and think. They are also called sketch notes or graphic recordings. Directions: On a clean sheet of paper with your complete name, section and subject written at the top, create a Doodle Notes about Quadratic Equation. Read the rubrics below for you to be guided. (50 POINTS) Tools ✓ ✓ ✓

Paper Pens or pencils Coloring Materials

✓ ✓ ✓ ✓

While drawing, think about a lot of things; Which information is important? How are they related? How do I describe them? Am I able to draw my thoughts?

QUESTIONS:

1. How would you describe the "Doodle notes" you’ve created in your own words?

_________________________________________________________________________________________________ _________________________________________________________________________________________________ 2. Do you Agree or Disagree that creating Doodle note increase focus and memory in learning? Why?

_________________________________________________________________________________________________ _________________________________________________________________________________________________

Rubrics for the Doodle Notes I did it! (10 POINTS)

I’m getting there! (7 POINTS)

Not there yet! (5 POINTS)

Notes CLEARLY contain main concepts followed by supporting details Exceptionally clever and unique in showing deep understanding. Exceptionally attractive and particularly neat in design and layout. No grammatical or mechanical mistakes in the project. Submit and present the project on time.

Notes are missing a FEW main concepts OR all ideas do not contain supporting details A few original touches enhance the project to show some understanding of the material. Acceptably attractive but may be messy at times and/or show lack of organization. Several grammatical/ mechanical mistakes which are distracting. Submit and present the project 1 to 5 days late.

Notes are missing MANY main concepts AND/OR are missing many supporting details Shows little creativity, originality and/or effort in understanding the Material. Distractingly messy or very poorly designed. Does not show pride in work. Many grammatical or mechanical mistakes throughout the project. Clearly not proofread. Submit and present the project more than 5 days late.

CATEGORIES MATH Content Creativity Neatness and Attractiveness Grammar

•

Punctuality

RATING

Teacher’s Feedback: ________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Performance Task #2 Mathematics 9 Name: _____________________________________ Section: ____________________________________ Materials: ➢ three pieces of colored paper ➢ stapler/ glue ➢ coloring materials

Score: _______________ Date: ________________

FOLD & FLIP NOTES

STEPS: 1. You will need three pieces of colored paper. You can use all one color, but I prefer to use three different colors. Copy paper works best, but construction paper will also do the job. 2. Next, line up the papers so that they overlap, with a small “tab” left for each color. 3. Then fold the paper over so that you get six tabs in all and staple the top to make it into a book. 4. Now it is time to label the cover and the tabs. This foldable is being used for representing the quadratic equation, so the front cover is labeled “Quadratic equation” and each tab is labeled with a different way that the quadratic equation can be solve, Solving Quadratic Equation by Extracting Square Roots, Solving Quadratic Equation by Factoring, Solving Quadratic Equation by Completing the Square, Solving Quadratic Equation by the Quadratic Formula, and Reflection. 5. Now students can write/draw on each page. For example, on the Solving Quadratic Equation by Extracting Square Roots page students should write as many equations with solutions as show their understanding the topic. 6. This foldable is great for consolidating learning at the end of a grading, and as a form of summative assessment. They look great in student portfolios and can make a nice bulletin board display.

QUESTIONS: 1. What are the advantages and disadvantages of Fold and Flip Notes you created.

_________________________________________________________________________________________________ _________________________________________________________________________________________________ 2. Determine the value of Fold and Flip Notes you created.

_________________________________________________________________________________________________ _________________________________________________________________________________________________

Project Scoring Rubric REPORT COMPONENT Math Content Creativity/Originality

Craftsmanship/Skill/Consistency

CRITERIA Follow the producers correctly. Generates a variety of ideas Unique original idea carried out in completed work Paper clean, no smudges, erased well Use of proper techniques and skill Consistency in marks, spelling and grammar Progression in skill level FINAL GRADE: ___________ /50

SCORE ____/10 points ____/10 points ____/10 points ____/5 points ____/5 points ____/5 points ____/5 points

Teacher’s Feedback: ________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Performance Task #3 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

Quadratic Functions In Real World Directions: On a clean piece of paper, paste the chosen picture of a parabola in the real world and analyze the mathematical aspects of it: 1. write the equation of a parabola in the standard and vertex forms, 2. identify its zeros, domain, range, opening of the parabola, vertex, axis of symmetry, x – intercept ad y intercept. QUESTIONS: 1. How does finding solutions of quadratic functions facilitate in solving real-life problems and in making decisions?

_________________________________________________________________________________________________ _________________________________________________________________________________________________ 2. Explain how can you check your answer?

_________________________________________________________________________________________________ _________________________________________________________________________________________________

Project Scoring Rubric REPORT COMPONENT

CRITERIA Follow the producers correctly. Generates a variety of ideas Unique original idea carried out in completed work Goes above and beyond project guidelines Turned in complete and accurate project Paper clean, no smudges, erased well Use of proper techniques and skill Consistency in marks, spelling and grammar Progression in skill level

Math Content Creativity/Originality Effort/Perseverance

Craftsmanship/Skill/Consistency

SCORE ____/10 points ____/10 points ____/10 points ____/5 points ____/5 points ____/5 points ____/5 points ____/5 points ____/5 points

FINAL GRADE: ___________ /60

Teacher’s Feedback: ________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I

Republic of the Philippines

Department of Education Region IV-A CALABARZON CITY SCHOOLS DIVISION OF TANAUAN TANAUAN CITY INTEGRATED HIGH SCHOOL TRAPICHE 1, TANAUAN CITY

First Quarter Performance Task #4 Mathematics 9 Name: _____________________________________ Section: ____________________________________

Score: _______________ Date: ________________

Class participation is an important aspect of student learning. When students speak up in class, they learn to express their ideas in a way that others can understand. When they ask questions, they learn how to obtain information to enhance their own understanding of a topic.

Directions: Create a short video clip containing the topic you choose. The video clip should be minimum of 3 minutes and maximum of 5 minutes. TOPICS: 1. Quadratic Equations 2. Quadratic Inequalities 3. Quadratic Functions

QUESTIONS: 1. How would you generate a plan to create a short video clip containing the topic you choose?

_________________________________________________________________________________________________ _________________________________________________________________________________________________ 2. What is the most important experience you’ve learned in creating a short video clip? Tell why.

_________________________________________________________________________________________________ _________________________________________________________________________________________________

Teacher’s Feedback: ________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________

Prepared by: ARLENE T. LOBREDO Mathematics 9 Teacher

RAQUEL M. ACERON Mathematics 9 Teacher

Checked by: JOMEL C. ATIENZA Head Teacher II /Department Coordinator Tanauan City Integrated High School Trapiche 1, Tanauan City, Batangas 4232

MARLON U. AMANTE Mathematics 9 Teacher FLORENCE R. GARCIA

Master Teacher I