Lesson Plan | Teachy Methodology | Area: Composite Figures

Objectives

Duration: 10 to 15 minutes

This stage aims to establish a clear foundation on what will be covered in the lesson, aligning students with the specific objectives of calculating the area of composite figures. By clearly describing what is expected to be achieved, students will have a clearer understanding of the purpose of the activities and how they relate to real-world situations, such as calculating the total area of a house.

Main Objectives

1. Review and solidify students' understanding of calculating the area of basic shapes like triangles and rectangles.

2. Introduce and apply methods to calculate the area of composite figures using basic shapes.

3. Develop skills to solve practical problems involving the area of figures, such as calculating the total area of a house.

Side Objectives

1. Encourage collaboration and teamwork through practical and interactive activities.
2. Stimulate the use of digital tools to solve mathematical problems.

Introduction

Duration: 10 to 15 minutes

This stage aims to establish a clear foundation on what will be covered in the lesson, aligning students with the specific objectives of calculating the area of composite figures. By clearly describing what is expected to be achieved, students will have a clearer understanding of the purpose of the activities and how they relate to real-world situations, such as calculating the total area of a house.

Warming Up

To start the lesson, explain to students that the area of composite figures is a combination of the areas of simple figures such as triangles and rectangles. These combinations are often found in everyday situations, such as architecture and urban planning. Instruct students to use their cell phones to search for an interesting fact about the topic, such as the importance of calculating areas in large constructions or how mathematics is used in interior design. This will help contextualize the topic in their reality and spark interest.

Initial Reflections

1. What are some examples of composite figures you found in your research?

2. How do you think calculating the area of composite figures can be applied in real life?

3. What challenges did you encounter while studying the area of composite figures at home?

4. Why is it important to know how to calculate the area of different geometric figures?

5. How can digital tools assist in calculating the areas of composite figures?

Development

Duration: 70 to 80 minutes

The development section aims to apply the concepts previously studied by students in practical and interactive activities, using digital technologies. The activities are designed to be contextualized, stimulating, and linked to the real world, strengthening the understanding of calculating areas of composite figures through collaboration and the use of digital tools.

Activity Suggestions

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

Activity 1 - Building the House of Dreams

> Duration: 60 to 70 minutes

- Objective: Practice calculating the areas of composite figures in a realistic and digitally interactive setting.

- Description: Students will use an online interior design simulator to design a house. They will need to calculate the total area of the floor plans using basic shapes such as triangles and rectangles.

- Instructions:

• Divide students into groups of no more than 5 people.

• Each group must access an online interior design software (like Roomstyler or Floor Planner).

• Ask students to design a floor plan of a house using basic shapes (triangles and rectangles).

• Each group needs to calculate the total area of the floor plan, detailing the area of each basic shape that makes up the plan.

• Request that the groups present their projects, explaining how they calculated the areas and the total area.

Activity 2 - Architectural Influencers

> Duration: 60 to 70 minutes

- Objective: Use calculation skills and creativity to educate others about the area of composite figures, simulating a modern and digital context.

- Description: Students must create a social media 'story' presentation explaining how to calculate the area of a composite figure found in a famous building (e.g., pyramids of Egypt, Colosseum, etc.).

- Instructions:

• Divide students into groups of no more than 5 people.

• Each group must choose a famous building and find an image or diagram that can be decomposed into basic figures (triangles and rectangles).

• Students will use a story creation tool for social media (like Instagram Stories or Canva) to create a series of slides explaining the step-by-step calculation of the area.

• The slides should include images, calculations, and a narration explaining the process.

• Each group will present its 'story' to the rest of the class, simulating a post on a social network.

Activity 3 - Geometric Treasure Hunt

> Duration: 60 to 70 minutes

- Objective: Engage students in a playful activity that reinforces the content learned, encouraging collaboration and the use of digital tools.

- Description: Students participate in a digital treasure hunt where they need to solve area calculation problems of composite figures to progress in the game.

- Instructions:

• Divide students into groups of no more than 5 people.

• Each group must access a gamification platform (like Kahoot or Google Forms) with a series of challenges related to calculating the areas of composite figures.

• The challenges will include problems that students need to solve to advance in the game, with each success unlocking the next clue.

• The final objective is to solve all problems and find the virtual 'treasure', which could be a digital certificate or a commemorative symbol.

• Groups must collaborate to solve each problem and ensure that all members understand the process.

Feedback

Duration: 15 to 20 minutes

This stage aims to consolidate learning through reflection and the sharing of experiences. Group discussion allows students to identify strengths and areas for improvement, while 360° feedback fosters a supportive and mutual development environment. Additionally, it reinforces the importance of collaboration and effective use of digital tools in the learning process.

Group Discussion

Facilitate a group discussion with all students, where groups share what they learned from the experience and their conclusions. Suggest the following script to introduce the discussion:

🗣️ 'Now that all of you participated in the activities and calculated the areas of composite figures in different contexts, let’s share our discoveries. Each group will have 5 minutes to present what they learned, the challenges they faced, and how they resolved the problems. Let's begin with Group 1.'

Reflections

1. What were the main challenges encountered when calculating the area of composite figures? 2. How did digital tools assist in solving the problems? 3. In what way can this experience be applied to everyday situations or future math classes?

360° Feedback

Instruct students to conduct a 360° feedback, where each student receives feedback from their group peers. Guide them to follow these guidelines for constructive feedback:

🔄 Positive Feedback:

• Highlight something that the peer did very well during the activity (e.g., good teamwork, accuracy in calculations, creative use of digital tools).

🔄 Areas for Improvement:

• Suggest something where the peer can improve, focusing on specific behaviors or skills (e.g., better communication, greater attention to detail).

🔄 Respectful Feedback:

• Remind them to be respectful and encouraging, maintaining a positive and constructive tone.

Conclusion

Duration: 10 to 15 minutes

The purpose of this stage is to consolidate learning in a light and engaging manner. By summarizing key content, connecting the lesson with students' reality, and highlighting practical applications of the knowledge acquired, we reinforce the importance of what has been learned and motivate students to apply these concepts in everyday situations. 🎉📚

Summary

👏 Congratulations, students! Today you learned how to calculate the area of composite figures using triangles and rectangles. 😃 With digital tools and a lot of creativity, you designed houses, calculated areas of famous buildings, and even participated in a geometric treasure hunt! 🏠🔺📈🔍

World Connection

Today's learning directly connects to the current world 🌍✨. In daily life, mathematics is present in everything, from interior design to the architecture of large buildings. By utilizing digital tools, you not only simplify calculations but also prepare for a future where technology and mathematics go hand in hand. 💻🔢

Practical Application

Knowing how to calculate the area of composite figures is crucial for many areas of knowledge and professional practice. 🏗️📐 Whether to plan the renovation of a room, calculate the area of a plot of land, or even design skyscrapers, this skill is extremely useful and applicable in numerous everyday and professional situations. 🚀