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Lesson plan of Orthogonal View

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Mathematics

Original Teachy

Orthogonal View

Lesson Plan | Lesson Plan Iteratif Teachy | Orthogonal View

KeywordsOrthogonal View, Spatial Geometry, Augmented Reality, Technical Drawing, Group Collaboration, Social Media, Digital Visualization, Mathematics Education, Technology in Education, Active Learning
ResourcesMobile phones or tablets with internet access, Recommended Augmented Reality (AR) applications, Digital design tools (like SketchUp or Tinkercad), Social media accounts (Instagram) for the groups, Platform for video sharing (YouTube, Google Drive), Drawing materials (paper, pencils, rulers) for initial sketches
Codes-
Grade9th grade
DisciplineMathematics

Goal

Duration: 10 - 15 minutes

This stage aims to clearly present what students need to achieve by the end of the lesson. It helps them understand the main and secondary objectives, allowing them to focus their efforts on the specific skills being developed, which fosters focused and efficient learning.

Goal Utama:

1. Recognize and draw orthogonal views of three-dimensional shapes, like cubes and pyramids.

2. Calculate the area of the orthogonal views, focusing on the lateral surface area of a cube.

Goal Sekunder:

  1. Enhance spatial visualization skills through digital tools.
  2. Encourage collaboration and discussion among students using online platforms.

Introduction

Duration: 10 - 15 minutes

📝 Purpose: This stage engages students right away, igniting their curiosity and encouraging the use of digital tools for learning. By sharing interesting facts and discussing key questions, students connect with the topic and reflect on their prior knowledge. This sets the stage for the practical activities to come, ensuring everyone starts with a solid understanding.

Warming Up

🔍 Warm-up: Start the class with a brief overview of orthogonal views, emphasizing their significance in geometry and real-world applications such as technical drawings and architecture. Ask students to use their phones to find and share an intriguing fact about orthogonal views, like their use in architectural design or furniture making.

Initial Thoughts

1. 🧠 What are orthogonal views and why are they important?

2. 📐 What are the key differences between front, side, and top views?

3. 🔢 How do orthogonal views enhance our understanding of spatial shapes?

4. 🖊️ Can someone explain how to draw an orthogonal view of a cube?

5. 🧮 How do we calculate the area of the orthogonal views of a 3D figure, like a cube?

Development

Duration: 70 - 80 minutes

The purpose of this stage in the lesson plan is to allow students to apply their prior knowledge of orthogonal views in a practical, contextualized way, utilizing digital technologies to enhance the learning experience. Working in groups fosters collaboration, communication, and problem-solving skills, making the learning environment dynamic and meaningful.

Activity Suggestions

Activity Recommendations

Activity 1 - 🎮 Augmented Reality Challenge: Building the Future!

> Duration: 60 - 70 minutes

- Goal: Enhance spatial visualization skills and understanding of orthogonal views through augmented reality technology, making learning dynamic and interactive.

- Deskripsi Activity: Students will utilize an augmented reality (AR) app to design and visualize orthogonal views of a building. This activity leverages AR technology, allowing them to see and manipulate different views of a 3D object while collaborating in teams.

- Instructions:

  • Divide students into groups of up to 5.

  • Each group should download and install a recommended AR app on their phones.

  • Groups can choose a building or structure they like (like a house, a building, or a monument).

  • Using the AR app, students will create a projection of their chosen building.

  • Each group must identify and draw the orthogonal views (front, side, and top) of the building they designed.

  • Students will calculate the area of the orthogonal views and the lateral surface area of the building.

  • Lastly, groups should prepare a brief presentation (using slides or a video) to showcase their findings and explanations about the orthogonal views of their designed building.

Activity 2 - 📱 Instagram Storytelling: The Journey of the Cube!

> Duration: 60 - 70 minutes

- Goal: Foster understanding of orthogonal views through a modern and interactive approach, utilizing social media to engage students and encourage collaborative learning.

- Deskripsi Activity: Students will craft a series of Instagram posts narrating the 'journey' of a geometric figure (specifically, a cube) through its orthogonal views. They’ll incorporate photos, videos, and illustrations to explain the various orthogonal views and how to calculate their areas.

- Instructions:

  • Split students into groups of up to 5.

  • If they prefer, each group can create a new Instagram account for the project instead of using their personal accounts.

  • Students must photograph or sketch a cube from different angles to represent the orthogonal views (front, side, and top).

  • Each group will create a series of Instagram posts detailing each orthogonal view, complete with descriptions and area calculations.

  • Students should use relevant hashtags (#OrthogonalView, #Geometry, #FunMath) and tag the school’s account, if applicable.

  • At the end of the activity, groups should comment on each other's posts to encourage online discussion about the significance of orthogonal views and the insights gained.

Activity 3 - 🏗️ Digital Influencers: Building a Geometric City!

> Duration: 60 - 70 minutes

- Goal: Encourage creativity and practical application of knowledge of orthogonal views through video creation and digital modeling, leading to contextualized and collaborative learning.

- Deskripsi Activity: Students will step into the role of 'digital influencers' and create videos illustrating how to use orthogonal views to design and construct a city. They will work with design software or graphic applications to create models and simulations.

- Instructions:

  • Form groups of up to 5 students.

  • Choose a design tool recommended for the project, such as SketchUp or Tinkercad.

  • Students will create and design a small city with various geometric structures (cubes, pyramids, etc.).

  • Each group must draw and present the orthogonal views of at least three primary structures in their city.

  • Students should record a video as if they were digital influencers, detailing the process of creating the city and how orthogonal views were applied.

  • Finally, groups will share their videos on a designated platform (YouTube, Google Drive) and watch the others’ videos, leaving thoughtful comments and questions.

Feedback

Duration: 20 - 25 minutes

🎯 Purpose: The purpose of this stage is to create space for students to reflect on their learning, share experiences, and receive constructive feedback from classmates. This reinforces acquired knowledge, identifies improvement areas, and fosters the development of social and communication skills that are essential for successful collaboration.

Group Discussion

📢 Group Discussion: Lead a final discussion where students share their experiences and insights from the activities. Introduce the discussion with the following script:

  1. Introduction: 'Now that we’ve finished the practical activities, let’s share what we learned. Who would like to kick things off by discussing what they gained and the challenges they faced in designing and calculating orthogonal views?'
  2. Questions Addressed: 'What were the key discoveries from your group? How did orthogonal views aid in understanding spatial figures?'
  3. Reflection: 'In what ways did digital technology, like AR and social media, support or hinder your learning about orthogonal views?'
  4. Conclusion: 'Is there anyone who wants to share tips or strategies that proved useful during the activities?'

Reflections

1.Reflection Questions: 1. What was the toughest part of the activity? How did your group tackle that challenge? 2. 2. How did digital visualization (AR, apps) alter your comprehension of orthogonal views compared to traditional methods like pen and paper? 3. 3. How did group collaboration and the use of social media influence your learning?

Feedback 360º

🔄 360° Feedback: Instruct students to engage in a 360° feedback session. Each student should receive feedback from their group members regarding their contributions to the activities. Emphasize that the feedback should be constructive and respectful, focusing on:

  1. What the peer excelled at.
  2. An area for improvement.
  3. A suggestion for future activities. Encourage phrases like 'I appreciated how you...', 'One area to work on is...', and 'Next time, perhaps you could...'

Conclusion

Duration: 10 - 15 minutes

🔍 Purpose: This section aims to consolidate the knowledge gained during the lesson, connecting learning with real-world applications while highlighting the significance of orthogonal views. It also offers an opportunity to revisit concepts in an engaging and contextualized way, underscoring the role of digital technology in understanding and applying mathematical content. 🎯

Summary

🎉 Fun Summary: Imagine being a spatial detective! 🕵️‍♂️ Today, we unraveled the mysteries of orthogonal views of geometric figures, particularly cubes. We learned how to illustrate the various views (front, side, and top) and calculate the area of these views, enhancing our understanding of a cube's lateral surface. We explored augmented reality technology, produced Instagram posts, and even turned into digital influencers, sharing mathematical ideas! As digital geometry superheroes, we examined every possible angle! 💫

World

🌍 In Today’s World: Orthogonal views are all around us, from the buildings we pass daily to the video games we enjoy. In this modern digital landscape, the ability to visualize and depict orthogonal views aids in creating precise and detailed projects. With technology advancing, tools like augmented reality and social media allow us to learn and share knowledge quickly and interactively, making mathematics vibrant and relevant! 🏢🎮

Applications

✏️ Applications: Understanding and reproducing orthogonal views is crucial not just for those pursuing careers in engineering, architecture, or design, but also for practical daily use. From assembling furniture using detailed manuals to interpreting house layout blueprints, this skill enhances our ability to see the world in three dimensions through two-dimensional representations. 📐🏠


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