Lesson Plan | Lesson Plan Iteratif Teachy | Circumscribed Polygons

Goal

Duration: 10 - 15 minutes

This stage aims to give teachers a clear overview of the learning objectives for the lesson. This alignment ensures that all activities and discussions focus on what students should understand and be able to do by the end of the session. The main and secondary objectives will help keep the class on track and guide the teaching strategies employed.

Goal Utama:

1. Grasp the concept of circumscribed polygons as they relate to circles.

2. Connect the length of the sides of the circumscribed polygon to the radius of the circle.

3. Utilise knowledge of circumscribed polygons to tackle practical mathematical problems.

Goal Sekunder:

1. Foster teamwork and collaboration skills through hands-on activities.
2. Incorporate digital resources to explore and visualise mathematical concepts.

Introduction

Duration: 10 - 15 minutes

This stage is designed to pique students' interest right from the start by using technology and digital resources. By hunting for interesting facts and discussing key questions, students begin connecting their existing knowledge with practical applications and real-world scenarios, thus laying the groundwork for deeper learning.

Warming Up

Introduce students to the idea that circumscribed polygons are shapes where each vertex touches a circle. This concept pops up in various applications and mathematical challenges. Encourage students to use their smartphones to find an interesting fact related to circumscribed polygons or circles in real life, like their applications in famous buildings or engineering feats.

Initial Thoughts

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

2. How do you think the radius of the circle ties into the sides of the circumscribed polygon?

3. In what real-world situations do you believe knowing about circumscribed polygons would come in handy?

4. Did you uncover any surprising facts about circumscribed polygons during your research?

Development

Duration: 70 - 85 minutes

This stage offers students a chance to apply their understanding of circumscribed polygons in contemporary and practical settings, using digital technologies to enliven the learning experience. Each activity is thoughtfully designed to promote collaboration, creativity, and hands-on application of mathematical concepts.

Activity Suggestions

Activity Recommendations

Activity 1 - Digital Architecture Challenge

> Duration: 60 - 70 minutes

- Goal: Enable students to visualise and apply the concept of circumscribed polygons within architecture via digital tools.

- Deskripsi Activity: Students will delve into the role of circumscribed polygons in architecture, using 3D modelling tools. Each group will select a well-known structure that integrates circumscribed polygons in its design and create a digital presentation showcasing how the concept is applied.

- Instructions:

• Split the students into groups of up to five.

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

• Utilise 3D modelling tools like SketchUp or Tinkercad to construct a digital version of the chosen structure.

• Highlight how the sides of the polygon relate to the radius of the circle in your model.

• Prepare a digital presentation (using Google Slides or Prezi) explaining the chosen structure, the use of circumscribed polygons, and the related mathematical principles.

• Each group will present their work to the class, utilising slide projections to showcase the 3D model.

Activity 2 - Math Influencers on Instagram

> Duration: 60 - 70 minutes

- Goal: Encourage creativity among students and teach the concept of circumscribed polygons through modern communication channels.

- Deskripsi Activity: Students will curate fictional digital influencer profiles on Instagram aimed at teaching maths. Each group will produce posts and stories that explain circumscribed polygons, making the content engaging through images, videos, and infographics.

- Instructions:

• Organise the students into groups of up to five.

• Each group should create a fictional math influencer profile for Instagram.

• Use platforms like Canva or Adobe Spark to craft posts and stories detailing the circumscribed polygon concept.

• Ensure that posts include visuals, brief videos, and infographics that illustrate the definition of circumscribed polygons, the relationship with the circle’s radius, and real-world examples.

• Encourage students to use clear language and attractive visuals to captivate future followers.

• The groups should showcase their creations to the class, projecting posts and stories while explaining their design choices.

Activity 3 - Gamified Mission: Circumscribed Polygons

> Duration: 60 - 70 minutes

- Goal: Reiterate students’ understanding of circumscribed polygons through an enjoyable and interactive format, fostering friendly competition.

- Deskripsi Activity: Students will engage in a gamified challenge using an educational platform like Kahoot! or Quizizz. They'll answer questions and solve problems about circumscribed polygons, competing to score points and climb the leaderboard.

- Instructions:

• Form groups of up to five.

• Introduce the gamified mission as a way to test their understanding of circumscribed polygons.

• Leverage an educational platform (e.g., Kahoot! or Quizizz) to develop a quiz with questions and challenges about circumscribed polygons.

• Each group should connect to the platform via cell phones or computers to join the quiz.

• Encourage healthy competition by showcasing a live scoreboard and rewarding high-achieving groups.

• Wrap up the quiz with a group discussion on the questions tackled, reinforcing key concepts.

Feedback

Duration: (15 - 20 minutes)

This stage provides an opportunity for reflection and sharing, enabling students to consolidate their learning and understanding of circumscribed polygons. Additionally, the 360° feedback fosters communication and collaboration skills, developing a culture of mutual respect and constructive feedback.

Group Discussion

Group Discussion 📢: Facilitate a discussion where each group shares their experiences and insights from the activities. Suggested introduction script:

1. Start by inviting each group to share their thoughts on the activities they completed.
2. Prompt each group to highlight an interesting or challenging aspect they faced while exploring circumscribed polygons.
3. Encourage engagement by discussing how digital tools and social media shaped their learning and interest in the topic.

Reflections

1. What was your group's biggest discovery while modelling famous structures or creating social media content about circumscribed polygons? 2. How did the digital tools like 3D modelling and design apps enhance your understanding of the mathematical concepts covered? 3. What challenges did you encounter during the activities, and what strategies did you use to overcome them?

Feedback 360º

360° Feedback 🔄: Guide the teacher in conducting a 360° feedback session, where all students receive constructive feedback from their peers. Facilitate the process to ensure that feedback remains positive and respectful, following these guidelines:

1. Be Specific: Provide clear examples of how a peer contributed to the activity.
2. Be Respectful: Focus on positive attributes, critiquing in a constructive manner.
3. Offer Suggestions: Along with identifying areas for improvement, suggest ways to enhance performance.

Conclusion

Duration: 10 - 15 minutes

📝 Purpose: This concluding phase aims to encapsulate the main takeaways from the lesson, connecting them to real-world contexts while underscoring the practical implications of what we've learned. It also promotes reflection on how employing technologies and digital techniques can enrich the educational experience.

Summary

📘 Lesson Summary: Let’s kick things off with a little math rap! 🎤 'Circumscribed polygons, wrapped around the circumference; vertices on the edge, precision that leaves no room for nonsense! Sides and radius unite, solving problems in a flash!' Today, we journeyed through circumscribed polygons, understanding how each vertex aligns with the circumference and how the sides relate to the radius. We explored through real-world examples, 3D modelling, Instagram posts, and dynamic quizzes. What a fantastic mathematical adventure!

World

🌐 In Today's Landscape: Circumscribed polygons aren't just theory; they're evident in various structures we encounter daily, from architectural icons to precision design in tech fields. In this digital era, tools like 3D modelling and social media empower us to grasp and communicate these concepts, making them relevant and accessible.

Applications

🛠️ Applications: Mastering circumscribed polygons is vital not just for solving intricate mathematical problems, but also for crafting stable and visually appealing structures. Engineers, architects, and designers frequently apply these principles in creating everything from bridges and buildings to interior spaces and products.