Lesson Plan | Teachy Methodology | Quadratic Equation: Bhaskara

Objectives

Duration: 10 to 15 minutes

The purpose of this step is to clearly present the objectives of the lesson to students, ensuring that they understand what is expected to be learned and developed throughout the activity. It is essential for students to know that solving quadratic equations using the Bhaskara formula will be the main competency worked on, as well as to relate this knowledge to practical applications and encourage collaboration.

Main Objectives

1. Understand and apply the Bhaskara formula to solve quadratic equations.

2. Develop the skill to identify coefficients a, b, and c and calculate the discriminant Δ.

Side Objectives

1. Relate the knowledge of Bhaskara to solving practical everyday problems.
2. Encourage collaborative work and the exchange of knowledge among students through group activities.

Introduction

Duration: 10 to 15 minutes

The purpose of this step is to clearly present the objectives of the lesson to students, ensuring they understand what is expected to be learned and developed throughout the activity. It also serves to establish a connection between theoretical content and students' practical reality, encouraging curiosity and engagement from the outset.

Warming Up

Start the lesson by discussing the importance of quadratic equations, briefly presenting the Bhaskara formula in an exciting way, and relating it to practical everyday situations such as physics, economics, and engineering. Then, ask students to use their phones to find an interesting fact about Bhaskara or about the application of quadratic equations in the real world. This will help contextualize the content and spark initial interest among students.

Initial Reflections

1. What is a quadratic equation?

2. What is the importance of the Bhaskara formula in solving quadratic equations?

3. How would you briefly explain the practical application of Bhaskara in everyday life?

4. What types of everyday problems can we solve using quadratic equations?

5. Did you find any curious or interesting facts about Bhaskara or his formula during your searches?

Development

Duration: 70 to 80 minutes

The purpose of this step is to allow students to apply the Bhaskara formula in a practical and contextualized way, encouraging collaborative work and the use of digital technologies. By solving real or fictional problems, students develop a deeper and more functional understanding of the content, as well as strengthen their communication and presentation skills.

Activity Suggestions

It is recommended that only one of the suggested activities be carried out

Activity 1 -  Digital Influencers and Bhaskara: A Successful Equation!

> Duration: 60 to 70 minutes

- Objective: Allow students to understand and apply the Bhaskara formula in a creative and contextualized way, using digital communication skills.

- Description: Students will divide into groups and create a story of a digital influencer who uses the Bhaskara formula to solve a real problem. They should use fictional social media to present the solution, simulating posts, stories, and interactions with followers.

- Instructions:

• Divide students into groups of up to 5 people.

• Ask each group to create a fictional profile of a digital influencer on a social media platform of their choice (Instagram, TikTok, YouTube).

• Groups must identify an everyday problem that can be solved with quadratic equations (e.g., calculating the trajectory of an object, predicting profit in a business, etc.).

• Students should create a series of posts and stories explaining the problem and how they use the Bhaskara formula to solve it. Each post must include a detailed explanation of the steps and calculations performed.

• Groups should alternate between educational and interactive posts, where followers (other students) ask questions and provide feedback.

• In the end, each group presents their profile and the solutions found to the class.

Activity 2 -  Quadratic Equation: A Math Game Show!

> Duration: 60 to 70 minutes

- Objective: Engage students in a friendly competition to practice solving quadratic equations, encouraging collaboration and practical application of knowledge.

- Description: Students will participate in an interactive game show with questions and challenges about solving quadratic equations using the Bhaskara formula. Using quiz apps, students will compete in teams to see who can solve the most problems correctly and quickly.

- Instructions:

• Divide the class into groups of up to 5 people and explain that they will participate in a math game show.

• Use an online quiz app (like Kahoot or Quizizz) to create a series of questions and challenges about the Bhaskara formula and solving quadratic equations.

• Each group should name a representative who will answer questions on the app on behalf of the group, but all students must collaborate to solve the problems.

• Questions can vary in difficulty and can include both theoretical questions and practical problems to be solved with the Bhaskara formula.

• Start the game and monitor group progress in real-time, encouraging healthy competition.

• At the end, review the answers and explain any common errors or questions that groups may have had.

Activity 3 -  Space Journey with Bhaskara!

> Duration: 60 to 70 minutes

- Objective: Apply the Bhaskara formula in a practical and engaging context, encouraging collaborative work and the use of simulation technologies.

- Description: Students will be divided into groups to simulate a space mission where they need to use the Bhaskara formula to solve problems related to rocket launch and trajectory.

- Instructions:

• Divide students into groups of up to 5 people and explain that they will simulate a space mission.

• Each group receives a series of problems related to rocket launches and trajectories that must be solved using the Bhaskara formula.

• Students should use simulation apps (such as PhET Interactive Simulations) to set up and test their solutions.

• Each group needs to document its problem-solving process, explaining each step and justifying the choices made.

• Groups should create a digital presentation (can be in PowerPoint, Google Slides, or other tools) to share their solutions and simulations with the class.

• At the end, each group presents its discoveries and simulations to the class, highlighting how the Bhaskara formula was essential for the success of the mission.

Feedback

Duration: 20 to 25 minutes

The purpose of this stage is to provide an opportunity for students to reflect on what they learned and how they applied the knowledge in practice. The group discussion and 360° feedback encourage metacognition and the development of communication skills, as well as promote an environment of collaborative learning and mutual respect. This stage also allows the teacher to assess students' understanding and adjust future lessons as necessary.

Group Discussion

Promote a group discussion with all students, where groups share what they learned by conducting the activities and their conclusions. To introduce this discussion, use the following brief script: Start by asking each group what were the main difficulties encountered and how they overcame them. Ask each group to highlight a moment they consider the greatest learning or surprise during the activity. Encourage students to comment on the creative solutions they developed using the Bhaskara formula. Finish by asking students to reflect on the importance of collaborative work and the use of digital technologies in the learning process.

Reflections

1. What was the biggest challenge you faced while applying the Bhaskara formula in practical activities? 2. How did the use of digital technologies influence the problem-solving process? 3. What did you learn from the experience of working in a group and sharing solutions?

360° Feedback

Conduct a 360° feedback stage where each student must receive constructive and respectful feedback from other group members. Guide the class to be specific and focus on positive aspects and areas for improvement. Suggest using the following format: 'I thought you did really well in... because...' 'You could improve in... by trying...' 'One thing that helped me a lot was when you...'

Conclusion

Duration: 10 to 15 minutes

 Purpose: The conclusion aims to reinforce the main points covered during the lesson, contextualizing them with students' reality and highlighting the practical relevance of the theme. It also serves to close the lesson memorably, ensuring that students leave with a clear and applied understanding of what they learned, as well as motivating them to continue exploring mathematics in the modern world.

Summary

 Fun Summary: Imagine we're at a math talent show, where today's star is the Bhaskara Formula!  Students embarked on space missions, solved problems as digital influencers, and challenged themselves in a game show! They discovered that the discriminant (Δ) is the key to solving quadratic equations and that the magic formula x=(-b±√Δ)/2a can transform numbers and variables into real solutions! 六‍

World Connection

 In Today's World: Today's lesson connected mathematics to modern dynamics by utilizing digital technologies, social media, and interactive simulations. Just as digital influencers use platforms to engage followers, students used these tools to solve problems, showing how mathematical knowledge is essential and applicable in various areas of everyday life, such as science, economics, and technology.

Practical Application

 Applications: Knowing and applying the Bhaskara Formula is fundamental to solving complex problems that arise in various everyday situations. Whether to calculate the trajectory of an object, predict profits in a business, or even plan a space mission, understanding this formula provides powerful tools to make informed and precise decisions.