Lesson Plan | Teachy Methodology | Regular Polygon: Construction

Objectives

Duration: 10 to 15 minutes

This stage aims to introduce students to the topic of the lesson and establish clear objectives that must be achieved throughout the learning process. It also seeks to connect students' prior knowledge to the lesson theme, preparing the ground for active and engaged participation during practical activities.

Main Objectives

1. Describe the process of constructing a regular polygon through a flowchart.

2. Identify and apply algorithms for the construction of regular polygons based on the measurement of one side.

Side Objectives

1. Promote collaboration and teamwork by discussing and planning algorithms together.
2. Encourage critical thinking and problem-solving by analyzing different approaches to constructing regular polygons.

Introduction

Duration: 10 to 15 minutes

This stage aims to introduce students to the topic of the lesson and establish clear objectives that must be achieved throughout the learning process. It also seeks to connect students' prior knowledge to the lesson theme, preparing the ground for active and engaged participation during practical activities.

Warming Up

To start the lesson, introduce the topic of constructing regular polygons by briefly explaining that they are geometric figures with all sides and angles equal. Ask students to use their phones to search for and share an interesting fact about regular polygons, such as their applications in mosaic design, architecture, or in nature (for example, bee hives). 🐝

Initial Reflections

1. What is the definition of a regular polygon?

2. Why is it important to understand the construction of regular polygons?

3. What are some examples of regular polygons that we encounter in our daily lives?

4. How can technology help us build and better understand regular polygons?

5. What are the main steps to construct a regular polygon based on the measurement of one side?

Development

Duration: 70 to 80 minutes

In this stage, students will apply the knowledge acquired in a practical and interactive way, using modern digital tools and technologies. The goal is to make learning more engaging and relevant, connecting it with the reality of students through playful and collaborative activities.

Activity Suggestions

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

Activity 1 - Polygon Influencers: Creating Geometric Content 🌟

> Duration: 60 to 70 minutes

- Objective: Encourage students' creativity and communication skills by explaining mathematical concepts in an accessible and modern way.

- Description: Students will become Digital Influencers whose channel focuses on teaching mathematical concepts through creative videos. They will use their phones and computers to create an explanatory video about constructing a regular polygon, using video editing apps and simulated (or real, if allowed) social media.

- Instructions:

• Divide the class into groups of up to 5 students.

• Each group must choose a type of regular polygon (equilateral triangle, square, pentagon, etc.) to create the content.

• Students must script a video of up to 3 minutes explaining the step-by-step process of constructing the chosen polygon.

• Use free video editing apps (like InShot or Canva) to add graphic effects, texts, and voice to the video.

• Post the videos on a simulated social media platform created for the lesson (it can be a private group on Facebook or a hashtag on Instagram).

• Each group must watch the videos of the other groups and provide constructive comments.

• The teacher can moderate the discussion and highlight important points from each video.

Activity 2 - Geometric Gamification: The Polygon Challenge 🎮

> Duration: 60 to 70 minutes

- Objective: Engage students through healthy competition and reinforce knowledge of regular polygons in an interactive and fun way.

- Description: Students will participate in an interdisciplinary game using gamification software such as Kahoot!, where they will answer questions about constructing regular polygons. The game includes challenges that require the creation of algorithms and flowcharts in real-time.

- Instructions:

• Divide the class into teams of up to 5 students.

• Explain the rules of the game and distribute devices (phones or tablets) to each group.

• Launch the Kahoot! session with progressive questions about regular polygon concepts.

• Include challenges where students need to draw flowcharts and algorithms on whiteboards or digital drawing apps.

• Students score not only for correct answers but also for the speed and accuracy of the flowcharts created.

• At the end, review the answers to the challenges and discuss important learning points with the class.

Activity 3 - Polygon Detectives: Mathematical Investigation 🕵️‍♀️

> Duration: 60 to 70 minutes

- Objective: Stimulate critical thinking and collaboration among students, in addition to applying knowledge in a practical and fun way.

- Description: Students will act as mathematical detectives solving a mystery involving the construction of different regular polygons using clues and digital puzzles.

- Instructions:

• Form groups of up to 5 students and assign the mission: solve a mathematical mystery.

• Each group will receive a digital kit with clues and puzzles (QR codes, links to educational websites, image files with incomplete diagrams).

• Students must use search apps, drawing software, and digital calculators to solve the clues and construct the correct polygons.

• Each solved step leads to the next clue until the final solution of the mystery is discovered.

• Groups document the step-by-step resolution in a collaborative digital document (like Google Docs).

• Conclude with a quick presentation of each group's reasoning and answers.

Feedback

Duration: 15 to 20 minutes

This stage aims to consolidate learning by encouraging students to reflect on the experience, identify strengths and areas for improvement, and recognize the importance of collaborative work. The 360° feedback promotes a culture of respect and personal development, where each student can grow from their peers' observations.

Group Discussion

Promote a group discussion with all students, where groups share what they learned by conducting the experience and their conclusions. Suggest that each group presents a summary of the steps they followed to construct the chosen regular polygon, highlighting the main challenges faced and the solutions found. Encourage students to reflect on the practical application of the algorithm and flowchart they developed.

Reflections

1. What were the biggest difficulties encountered during the construction of the regular polygon and how did you solve them? 2. How did digital tools help or hinder the learning and construction process of the polygons? 3. In what way did group collaboration contribute to the success of the activity? What would you do differently next time?

360° Feedback

Instruct to conduct a 360° feedback stage where each student must receive constructive feedback from the colleagues in the group they worked with. Explain the importance of being respectful and specific in their observations. Suggest that the feedback addresses aspects such as: collaboration, creativity, communication, and command of the content. For example, a student might say: 'You helped a lot in organizing the ideas and were great in the final presentation.'

Conclusion

Duration: 10 to 15 minutes

🔎 Purpose: The conclusion serves to consolidate what has been learned, connect the content with the real world, and show the practical relevance of the topic. It is a moment to review, reflect, and celebrate the achievements of the lesson, encouraging students to continue exploring and applying their knowledge.

Summary

🎉 Fun Summary: Congratulations, Influential Mathematicians! Today you transformed into true masters of digital geometry. 🚀 You learned to construct regular polygons, create algorithms, and draw flowcharts. Each group became a star of mathematical social media, producing amazing and super creative content! And we can't forget the polygon challenge, where healthy competition made you shine even brighter! 🌟

World Connection

🌐 Connection with the Current World: In this lesson, you not only learned about regular polygons but also how technology can facilitate our understanding and application of mathematical concepts. Nowadays, the ability to transform complex information into accessible and interactive content is a valuable skill. You are ready to face the challenges of the modern world, where digitization and collaboration are essential.

Practical Application

💡 Importance in Daily Life: Knowing how to construct regular polygons goes far beyond the classroom. Practical applications include graphic design, engineering, architecture, and even game programming. This knowledge helps develop analytical and problem-solving skills, which are essential in various professions.