Lesson Plan | Teachy Methodology | Triangles: Sum of Angles
| Keywords | triangles, sum of internal angles, digital activities, social networks, active methodology, first year of high school, mathematics, collaborative learning, modern education, gamification, digital influencers, Instagram, tutorial video |
| Required Materials | Cell phones or tablets, Internet access, Photo and video editing apps, Accounts on social media platforms (Instagram, YouTube, TikTok), Gamification platform (Kahoot!, Quizizz), Projector or TV to display the videos and posts, Stationery materials (paper, pens, etc.) |
Objectives
Duration: 10 - 15 minutes
This stage aims to contextualize students regarding the main and secondary objectives that will be achieved throughout the lesson. By clearly outlining the learning goals, it will be possible to engage students and prepare the ground for practical activities that will promote a deep and applied understanding of the concept of the sum of the internal angles of a triangle.
Main Objectives
1. Understand that the sum of the internal angles of a triangle is 180º.
2. Calculate missing angles in different types of triangles.
Side Objectives
- Identify and classify different types of triangles based on their angles.
Introduction
Duration: 10 - 15 minutes
This stage of the lesson aims to engage students in the topic, motivating them to explore and share prior and new knowledge about triangles. By encouraging active research and open discussion, a collaborative and curious environment is established, essential for a deep and practical understanding of mathematical concepts.
Warming Up
To start the lesson, introduce the topic of the sum of the internal angles of a triangle, highlighting that this sum is always 180º, regardless of the type of triangle. Then, ask students to use their cell phones to research an interesting fact about triangles or about the sum of the internal angles. Each student should share an interesting fact with the class, enriching the context of the lesson and fostering an initial discussion based on their discoveries.
Initial Reflections
1. What did you discover about triangles that you found interesting?
2. Why do all triangles have the sum of their internal angles equal to 180º?
3. What types of triangles do you know and how do they differ?
4. How can the property of internal angles be useful in everyday situations?
5. Can you think of any challenges or practical problems where this property is applied?
Development
Duration: 70 - 80 minutes
This stage aims to promote the practical and contextualized application of knowledge about the sum of the internal angles of triangles. Through creative and technological activities, students are encouraged to collaborate and develop their problem-solving, communication, and digital tool skills.
Activity Suggestions
It is recommended that only one of the suggested activities be carried out
Activity 1 - Triangle Adventure on Instagram 📸
> Duration: 60 - 70 minutes
- Objective: Apply knowledge about the sum of the internal angles of triangles in a creative and contextualized way in the digital world.
- Description: Students will be divided into groups and must create a story in the format of an Instagram post about an 'adventure' involving triangles. The story can be fictional, such as 'Detectives uncover the mystery of the missing triangles', or applicable to real life, like 'The construction of a triangular roof'. Each group must create a series of 3 to 5 posts, using images, videos, and text, exploring the sum of the internal angles of triangles and how to calculate the missing angles.
- Instructions:
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Divide students into groups of up to 5 people.
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Each group must choose a theme for the story involving triangles.
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Students should take photos or make drawings related to triangles and the chosen theme.
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Using a photo or video editing application, students must create visual content for Instagram.
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Include descriptions that explain the sum of the internal angles of triangles and examples of calculations of the missing angles.
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Post the content on the group's profile and share it with the class, using a specific hashtag for the lesson.
Activity 2 - Math Influencer Challenge 🎥
> Duration: 60 - 70 minutes
- Objective: Develop communication and technology skills while deepening knowledge about triangles.
- Description: Students will take on the role of math digital influencers. Each group must produce a short, tutorial-style video explaining the sum of the internal angles of triangles and how to calculate missing angles. They can use special effects, animated graphics, and digital simulations to make the video more dynamic and interesting. The video must be shared on a video platform, such as YouTube or TikTok, and all groups will watch the videos produced by other classmates.
- Instructions:
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Divide students into groups of up to 5 people.
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Each group must write a script for the tutorial video.
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Record the video using cell phones, including explanations and practical examples.
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Use video editing apps to add effects and animations.
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Post the video on the chosen platform and share the link with the class.
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Watch and comment on the videos of the other groups.
Activity 3 - Gamified Mission: Spatial Triangles 🚀
> Duration: 60 - 70 minutes
- Objective: Reinforce mathematical knowledge in a playful and competitive manner, using gamification as a learning tool.
- Description: Students will participate in a gamified game where they are astronauts on a space mission. In the game, they will encounter challenges that require knowledge of the sum of the angles of triangles to advance. Using a gamification platform like Kahoot! or Quizizz, students will answer questions and solve problems involving triangles. Each correct answer unlocks a new level of the mission and, at the end, the group that completes the mission first is awarded.
- Instructions:
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Divide students into groups of up to 5 people.
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Explain the game's narrative: a space mission where solving triangles is essential.
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Create a gamified quiz on the chosen platform, with questions about the sum of the internal angles of triangles and calculations for missing angles.
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Each group must answer the questions as quickly as possible to advance level.
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Monitor progress and, at the end, celebrate the winning group.
Feedback
Group Discussion
Gather students in a circle to promote group discussion. Start the conversation by asking each group to share the theme of their activities and the main learnings. Use the following outline to guide the discussion:
- Introduction: Ask each group to briefly present the activity they carried out (Instagram, tutorial video, or gamified game).
- Key Learnings: Ask students to share the main learnings they gained about the sum of the internal angles of triangles and how to calculate missing angles.
- Challenges: Ask groups what challenges they encountered during the activities and how they overcame them.
- Practical Application: Encourage students to discuss how the acquired knowledge can be applied in everyday situations or other academic contexts.
Reflections
1. What did you discover about the sum of the internal angles of triangles that you didn't know? 2. What was the experience of using digital tools to explore mathematical concepts? 3. What additional skills (besides math) did you develop during the activities?
360° Feedback
For the 360° feedback stage, each student must provide and receive constructive feedback from peers. Explain to students that the goal is to help each other improve and learn. Guide them to focus on positive aspects and suggestions for improvement. Use the following steps:
- Positive Feedback: Each student should start by highlighting something positive their peer did well during the activity.
- Suggestions for Improvement: Then, each student should offer one or two constructive suggestions on how their peer can improve in future activities.
- Respect and Consideration: Remind students of the importance of being respectful and considerate when giving feedback.
Conclusion
Duration: 10 - 15 minutes
The purpose of this stage is to consolidate learning and connect mathematical concepts with the current context of students. By summarizing the main points in a fun way and relating them to the modern world, students perceive the practical relevance of the knowledge acquired and feel more motivated to apply it in their daily lives and future careers.
Summary
🎉 Fun Summary: Imagine that each triangle is a little geometric party! 🥳 No matter the shape, all internal angles summed are always 180º – it’s like a party rule! We learned how to find missing angles and even became digital influencers and astronauts on incredible adventures to explore these concepts!
World Connection
🌐 Connection to the Current World: Triangles are everywhere! From the design of bridges 🏗️ to the geometry of your Instagram feed. In the modern world, understanding these concepts helps decode the hidden mathematics in the structures around us and even optimize algorithms that we use every day, like those on social media.
Practical Application
🔍 Importance in Daily Life: Knowing that the sum of the internal angles of a triangle is 180º is vital for various fields, such as engineering, architecture, and even game programming. 🎮 This means we can solve practical problems, like calculating the slope of a roof or drawing accurate graphs in software. This skill is a powerful tool in the real world!
