Monday, May 5, 2025

PROJECT-BASED LEARNING

 

PROJECT-BASED LEARNING

 

a.     Title

Quadratic Formula

b.     Grade Level/Subject

Grade 10 - Mathematics

c.     Project Based Learning

 

Project-based learning can develop the 21st-century skills, such as collaboration, communication, creativity, and critical thinking, while enhancing students' understanding of various mathematical operations and concepts.

d.     Content Standards

The Learner demonstrates understanding of key concepts of quadratic equations, inequalities and functions, and rational.

e.     Performance Standards

The learner is able to investigate thoroughly mathematical relationships in various situations, formulate real-life problems involving quadratic

f.       Learning Competencies

-       The students illustrate quadratic equations. M9AL-Ia-1

-       The students solve quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square; and (d) using the quadratic formula. M9AL-Ib-1

g.     Learning Objectives

 

Specifically:

-       Define quadratic equations.

-       Demonstrate how to solve quadratic equation.

-       Apply the quadratic formula to solve quadratic equations.

h.     Pre-Requisite Skills

-       Basic understanding of quadratic equations.

-       Basic arithmetic skills: multiplication, division, addition, and subtraction.

-       Basic understanding of square roots.

i.       Materials needed

 

a.     Technology-Hardware Required

-       Laptop

-       Smartphone

-       Internet connectivity

 

b.     Audio-Visual

-       Projector

-       Speaker

 

c.     Manipulative

-       Quadratic Formula Chart

 

d.     Technology-Software Required

-       PowerPoint

-       Khan Academy.

 

e.     Other Materials:

-       Facebook Messenger and YouTube

 

Procedures:

1.     The teacher will group the class into 4 groups.

2.     The teacher will give the GRASPS framework activity which is shown in Learning Resource 3, instructing the learners to create a 3-to-5-minute video demonstrating the step-by-step process of solving a quadratic equation using a certain solving technique.

3.     The learners will work on their video for 40 minutes.

4.     As a group, learners will edit their video vlog for 15 minutes and post it on YouTube for 5 minutes.

5.     Their work will be assessment using an analytic rubric in Learning Assessment 4.

TOPIC LESSON

:

QUADRATIC FORMULA

OBJECTIVES

:

At the end of the activity learners were able to:

-       Define quadratic equations.

-       Demonstrate how to solve quadratic equation.

-       Apply their overall understanding to quadratic formula using different solving techniques.

ACTIVITY

:

Learners will create a 3-to-5-minute video demonstrating the step-by-step process of solving a quadratic equation using: (a) extracting square roots; (b) factoring; (c) completing the square; and (d) using the quadratic formula.

 

The teacher will group the class into 4, and each group will demonstrate solving quadratic equations on certain solving techniques. Group 1 will demonstrate using extracting square roots; Group 2 will solve use factoring; Group 3 will perform using completing the square; and Group 4 will focus on using the quadratic formula.

 

 

Assessment:                 

1.     Summative Assessment:

-       Khan Academy (4-item test)

2.     Reflective and Diagnostic in nature. (Not recorded, so no rubrics will be utilized.):

The learners will answer the following questions as their assignment.

-       What I have learned?

-       What I liked about the lesson?

-       What I am struggling on the lessons?

-       What I wish to do/to experience on the next lesson


Learning Resource 3: Grasps Framework for Project-Based Learning Activities



 

Learning Assessment 3: Performance Checklist for Group Discussion Participation

Da‑Math Game

Assessment for Group Discussion Participation

 

Active Participation

:

Contributes ideas and asks questions.

 

Team Collaboration

:

Works well with group members.

 

Critical Thinking

:

Analyzes and discusses ideas effectively.

 

Clear Communication

:

Expresses ideas clearly.

 

Learning Assessment 4: Analytic Rubric for GRASPS Video

 

Category

Exemplary

(4 points)

Proficient

(3 points)

Developing

(2 points)

Needs Improvement

(1 points)

Content Accuracy

Accurate and insightful explanation of the quadratic formula. Steps are clearly explained with helpful examples and connections to prior knowledge.

Accurate explanation and application of the quadratic formula. Steps are clearly explained and easy to follow.

Some errors in the explanation or application of the quadratic formula. Steps are mostly clear but may have minor omissions.

Significant errors in the explanation or application of the quadratic formula.  Steps are unclear or missing.

Clarity and Organization

Presentation is exceptionally well-organized and engaging. Key concepts are explained clearly and concisely with effective transitions.

Presentation is well-organized and easy to follow. Key concepts are clearly explained.

Presentation shows some organization but could be clearer.  Some concepts are explained adequately, others are not.

Presentation is disorganized and difficult to follow.  Key concepts are not clearly explained.

Engagement and Creativity

Video is highly engaging and creative. Presentation is dynamic, enthusiastic, and captivating, effectively maintaining viewer interest throughout.

Video is engaging and incorporates some creative elements. Presentation is enthusiastic and holds viewer interest.

Video shows some attempt at engagement but could be more creative. Presentation is somewhat engaging.

Video is unengaging and lacks creativity.  Presentation is monotone and unenthusiastic.

Technical Quality

Excellent audio and video quality.  Professional presentation with clear audio and visuals.

Good audio and video quality. Minimal distracting elements.

Audio or video quality has some issues.  Some distracting elements are present.

Poor audio or video quality.  Distracting background noises or visuals.

Target Audience Focus

Video expertly addresses the needs of the target audience. 

Video effectively addresses the needs of the target audience.

Video partially addresses the needs of the target audience. Language is mostly appropriate.

Video does not address the needs of the target audience.






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PROJECT-BASED LEARNING

  PROJECT-BASED LEARNING   a.      Title Quadratic Formula b.      Grade Level/Subject Grade 10 -...