Lesson Plan | Teachy Methodology | Spatial Geometry: Volume of the Cylinder

Objectives

Duration: 10 to 15 minutes

The purpose of this stage of the lesson plan is to prepare students to understand and apply the formula for the volume of a cylinder, contextualizing learning in practical everyday problems. This stage will help guide students on what will be covered in the class and what skills they will develop throughout the session.

Main Objectives

1. Apply the formula for the volume of a cylinder (base area times height) in different contexts.

2. Solve practical problems involving the calculation of the volume of cylindrical containers.

Side Objectives

1. Encourage critical thinking when analyzing different practical situations that require the calculation of the volume of cylinders.
2. Stimulate collaboration and idea exchange among students when solving problems in groups.

Introduction

Duration: 10 to 15 minutes

The purpose of this stage of the lesson plan is to prepare students to understand and apply the formula for the volume of a cylinder, contextualizing learning in practical everyday problems. This stage will help guide students on what will be covered in the class and what skills they will develop throughout the session.

Warming Up

To start the class about the volume of the cylinder, explain to the students that spatial geometry helps us understand and calculate the capacity of three-dimensional objects that we encounter in daily life, such as soda cans, cups, and gas cylinders. Ask the students to use their cell phones to find an interesting fact about the use of cylinders in different areas, such as engineering, architecture, or even cooking. Afterwards, allow them to share what they found with the class.

Initial Reflections

1. Why is it important to know how to calculate the volume of a cylinder?

2. Can you think of everyday examples where it is necessary to use this formula to solve practical problems?

3. How can the volume of a cylinder influence its storage capacity?

4. What possible difficulties may you encounter when applying the formula in practice?

Development

Duration: 75 to 85 minutes

The purpose of this stage of the lesson plan is to deepen students' knowledge about the calculation of the volume of a cylinder through practical activities contextualized in the modern digital reality. This practical development will allow students to apply theory in real situations and collaborate with each other to solve complex problems, using technological tools.

Activity Suggestions

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

Activity 1 - Cylinders on Social Media 

> Duration: 60 to 70 minutes

- Objective: Apply the formula for the volume of the cylinder in different real contexts, using social media as a tool for disseminating knowledge.

- Description: In this activity, students will create posts on social media simulating being digital influencers who explain and apply the volume formula of a cylinder in different everyday contexts. Students can use platforms like Instagram, TikTok, or YouTube to create short videos, stories, or even posts with graphics and explanations about the topic.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group should choose a context where the volume of a cylinder is relevant (e.g., the capacity of a soda can, the volume of a fuel tank, among others).

• Students should create digital content (videos, stories, posts) explaining the calculation of the volume of the cylinder and its practical application.

• The groups should share their content with the class through a platform chosen by the teacher (Google Classroom, for example).

• Finally, each group presents their work to the class, showing the content created and explaining the choice of context and the application of the formula.

Activity 2 - Virtual Escape Room Challenge 

> Duration: 60 to 70 minutes

- Objective: Solve practical problems using the formula for the volume of a cylinder in a playful and collaborative environment.

- Description: Students will participate in a virtual 'Escape Room' game where they will need to solve problems related to the calculation of the volume of cylinders to advance through the challenges and 'escape'. Each group will need to use collaboration and the practical application of the knowledge studied to win the challenge.

- Instructions:

• Divide students into groups of up to 5 people.

• Create or use an online Escape Room platform, or use tools like Google Forms to develop the challenges.

• Each challenge in the Escape Room should involve a practical problem that requires the calculation of the volume of a cylinder to be solved.

• Groups should collaborate to solve each challenge and submit their answers on the designated platform.

• The first groups that manage to 'escape' by correctly completing all the challenges may be awarded extra points or another form of reward.

Activity 3 - Maker Project: Building a Cylinder ️

> Duration: 60 to 70 minutes

- Objective: Integrate the digital construction of 3D models with volume calculation, promoting practical and contextualized learning.

- Description: In this activity, students will use an online 3D design platform to create models of cylinders and calculate the volume of these models. The task will include both digital creation and the application of the mathematical formula to validate the projects.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group should access an online 3D design platform, such as Tinkercad.

• Students should design different cylinders with varied measurements, using the chosen platform.

• After creating the models, students will calculate the volume of each cylinder using the appropriate formula.

• Groups should prepare a brief presentation where they share their models and explain the calculation of the volumes.

• Finally, each group presents their project to the class, highlighting the challenges and learnings from the process.

Feedback

Duration: 15 to 20 minutes

The purpose of this stage of the lesson plan is to promote reflection and consolidation of the knowledge acquired through practical activities. Sharing experiences and exchanging constructive feedback aims to enrich students' learning, encouraging collaboration and critical thinking.

Group Discussion

Encourage a group discussion with all students, where groups share what they learned while carrying out the activities and their conclusions. To introduce this discussion, the teacher can follow the script:

1. Introduction: Ask each group to briefly summarize the activity they performed and the context chosen.
2. Practical Application: Ask groups to explain how they applied the formula for the volume of the cylinder in their activity and which challenges they faced.
3. Reflection: Question what they learned from the activity and how it relates to everyday situations.
4. Conclusion: Ask each group to share a conclusion or insight they had from the activity.

Reflections

1. What were the main difficulties encountered when applying the formula for the volume of the cylinder in practical activities? 2. How did the use of digital tools help or hinder the understanding of the concept of the volume of the cylinder? 3. How did group work contribute to solving the problems presented in the activities?

360° Feedback

Instruct students to conduct a 360° feedback step. Each student should receive feedback from group peers about their participation and contribution during the activities. Guide the class to ensure that feedback is constructive and respectful, using the sandwich technique: start with a positive point, mention something that can be improved, and end with another positive point.

Conclusion

Duration: 10 to 15 minutes

 Purpose : The purpose of this stage is to consolidate learning in a light and interactive manner, connecting theoretical content to practical and modern contexts. By summarizing the class in a fun way and relating it to the current world, students are encouraged to see the value and applicability of the knowledge gained, reinforcing the importance of the topic for their daily lives and future careers.

Summary

 Fun Summary : Today we navigated through the universe of cylinders!  We discovered how to calculate the volume of these three-dimensional figures through the magic formula: base area times height. We explored soda cans, fuel tanks, and even cooking!  And all this while creating super cool digital content and unraveling challenges in a virtual Escape Room! ️里

World Connection

 In the Modern World : Knowledge about the volumes of cylinders is everywhere! From calculating the capacity of a coffee cup to optimizing storage space in warehouses, knowing the volume of cylinders is essential. In the digital world, we use social media to communicate and share knowledge, transforming mathematical concepts into viral content through creative videos and interactive posts. ✨

Practical Application

️ Practical Applications ️: Understanding the volume of cylinders is crucial for various practical applications in our daily lives. Whether in engineering, architecture, or even in the kitchen, calculating volumes helps us make more informed and efficient decisions. In addition, using digital platforms and 3D design reinforces the importance of technology in modern and interactive learning.