Lesson Plan | Teachy Methodology | Circumscribed Polygons

Objectives

Duration: 10 - 15 minutes

The purpose of this stage is to provide the teacher with a clear and objective view of the learning objectives that must be achieved during the lesson. This ensures that all activities and discussions are aligned with what is expected for students to understand and be able to do by the end of the lesson. The main and secondary objectives will help maintain the focus of the lesson and guide the pedagogical strategies used.

Main Objectives

1. Understand the concept of circumscribed polygons in relation to a circle.

2. Relate the length of the side of the circumscribed polygon to the radius of the circle.

3. Apply knowledge about circumscribed polygons in solving practical mathematical problems.

Side Objectives

1. Develop teamwork and collaboration skills through practical activities.
2. Use digital resources to explore and visualize mathematical concepts.

Introduction

Duration: 10 - 15 minutes

The purpose of this stage is to immediately engage students with the lesson's theme, using technology and digital resources to spark curiosity and encourage active participation. By seeking interesting facts and discussing key questions, students begin to connect prior knowledge with practical applications and real-world contexts, creating a conducive environment for deeper learning.

Warming Up

Explain to the students that circumscribed polygons are geometric figures where each vertex touches a circle. This concept can be found in various applications and mathematical problems. Ask students to use their cell phones to look up an interesting fact about circumscribed polygons or circles in real life, such as their presence in famous architectures or engineering projects.

Initial Reflections

1. What is the difference between a circumscribed polygon and a regular polygon?

2. How do you think the radius of the circle relates to the sides of the circumscribed polygon?

3. In what practical situations do you think it would be useful to know about circumscribed polygons?

4. Did you find any interesting or surprising fact about circumscribed polygons in your research?

Development

Duration: 70 - 85 minutes

The purpose of this stage is to provide students with an opportunity to apply their knowledge about circumscribed polygons in practical and modern contexts, using digital technologies to make the learning experience more dynamic and engaging. Each activity has been carefully planned to promote collaboration, creativity, and practical application of mathematical concepts.

Activity Suggestions

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

Activity 1 - Digital Architecture Challenge

> Duration: 60 - 70 minutes

- Objective: Allow students to visualize and apply the concept of circumscribed polygons in the context of architecture, using digital tools.

- Description: Students will explore applications of circumscribed polygons in architecture using 3D modeling tools. Each group will choose a famous building that uses the concept of circumscribed polygons in its design and create a digital presentation that highlights the application of the concept.

- Instructions:

• Divide students into groups of up to 5 people.

• Ask each group to choose a famous building, such as the Florence Cathedral or the Temple of Heaven, that uses circumscribed polygons in its design.

• Use 3D modeling tools, such as SketchUp or Tinkercad, to create a digital representation of the chosen building.

• Incorporate the concept of circumscribed polygons into the modeling, highlighting how the sides of the polygon relate to the radius of the circle.

• Prepare a digital presentation (using Google Slides or Prezi) that explains the chosen building, the application of circumscribed polygons, and the mathematical relationship involved.

• Each group should present their work to the class, using slide projection and visualizing the 3D model.

Activity 2 - Mathematical Influencers on Instagram

> Duration: 60 - 70 minutes

- Objective: Encourage students' creativity and promote the teaching of the concept of circumscribed polygons using modern communication platforms and formats.

- Description: Students will create fictional profiles of digital influencers on Instagram who teach mathematics. Each group will create posts and stories that explain the concept of circumscribed polygons, using images, videos, and infographics to make the content visually appealing and accessible.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group should create a fictional profile of a digital influencer focused on teaching mathematics on Instagram.

• Use apps like Canva or Adobe Spark to create posts and stories that explain the concept of circumscribed polygons.

• Posts should include images, short videos, and infographics illustrating the definition of circumscribed polygons, the relationship with the radius of the circle, and practical examples.

• Encourage students to use simple and visually attractive language to engage future followers.

• Groups should share their creations with the class, projecting the posts and stories and explaining their design and content choices.

Activity 3 - Gamified Mission: Circumscribed Polygons

> Duration: 60 - 70 minutes

- Objective: Reinforce students' understanding of circumscribed polygons in a fun and interactive way, promoting healthy competition.

- Description: Students will be challenged to participate in a gamified mission using an educational gaming platform, such as Kahoot! or Quizizz. They will answer a series of questions and solve problems related to circumscribed polygons, competing to earn points and reach the top of the leaderboard.

- Instructions:

• Divide students into groups of up to 5 people.

• Explain that they will participate in a gamified mission to test their knowledge of circumscribed polygons.

• Use an educational gaming platform, such as Kahoot! or Quizizz, to create an interactive quiz with questions and problems about circumscribed polygons.

• Each group should access the platform using cell phones or computers and participate in the quiz.

• Encourage healthy competition, highlighting the live leaderboard and rewarding groups that achieve the best positions.

• At the end of the quiz, conduct a group discussion about the questions and problems presented, reinforcing key concepts.

Feedback

Duration: (15 - 20 minutes)

The purpose of this stage is to provide a moment of reflection and sharing among students, allowing them to consolidate their learning and insights about circumscribed polygons. Additionally, the 360° feedback helps develop communication and collaboration skills, promoting an environment of mutual learning and respect.

Group Discussion

Group Discussion 📢: Promote a group discussion with all students, where groups share what they learned by carrying out the activities and their conclusions. Suggested script to introduce the discussion:

1. Start the discussion by inviting each group to briefly share their experiences with the activities performed.
2. Ask each group to highlight an interesting or challenging aspect they encountered while applying the concept of circumscribed polygons.
3. Encourage students to discuss how the use of digital tools and social media influenced their understanding and engagement with the topic.

Reflections

1. What was the main discovery or learning that your group obtained when modeling famous buildings or creating content for social media about circumscribed polygons? 2. How do you think the use of digital tools, such as 3D modeling and design apps, helped visualize and better understand the mathematical concepts studied? 3. What difficulties were encountered during the activities and how did you overcome them?

360° Feedback

360° Feedback 🔄: Instruct the teacher to conduct a 360° feedback stage where each student should receive feedback from other members of their group. Guide the class to ensure that the feedback is constructive and respectful, following these guidelines:

1. Be Specific: Provide clear examples of how the peer contributed to the activity.
2. Be Respectful: Emphasize positive aspects and make critiques in a respectful and constructive manner.
3. Offer Suggestions: In addition to pointing out areas for improvement, offer suggestions on how to improve.

Conclusion

Duration: 10 - 15 minutes

📝 Purpose: This conclusion stage aims to consolidate the main learnings of the lesson, make connections to the real world, and highlight the practical relevance of the concepts studied. Additionally, it offers a reflection on how the use of digital technologies and methodologies can enrich and facilitate learning.

Summary

📚 Lesson Summary: Let's start with a little math rap! 🎤 'Circumscribed polygons, around the circle they are fixed; vertices on the surface, precision that confuses nothing! Sides and radius allied, problems solved in seconds!' In today's lesson, we explored the concept of circumscribed polygons, understanding how each vertex touches the circle and how the sides relate to the radius. We learned through practical examples, 3D modeling, creating posts on Instagram, and fun quizzes. It was a true mathematical journey!

World Connection

🌐 In Today's World: Circumscribed polygons are not just an abstract concept; they are present in various structures of our daily lives, from the design of great architectures to precision engineering in technological industries. In this digital age, tools like 3D modeling and social media are powerful for understanding and communicating these concepts, making them accessible and relevant.

Practical Application

🏙️ Applications: Understanding circumscribed polygons is crucial not only for solving complex mathematical problems but also for designing and constructing stable and aesthetically pleasing structures. Engineers, architects, and designers frequently apply these concepts to create anything from bridges and buildings to interior designs and products.