Lesson Plan | Teachy Methodology | Function: Domain

Objectives

Duration: 10 - 15 minutes

The purpose of this stage of the lesson plan is to contextualize students on the key concepts that will be explored in the lesson, establishing clear objectives that will guide the learning process. Thus, this section serves as a focused and directed introduction to ensure that students are aligned with the competencies they should achieve by the end of the lesson. This will provide a clear and objective guidance for students during the proposed practical and interactive activities.

Main Objectives

1. Understand the notion of the domain of a function as the possible input values of the function.

2. Identify and calculate the maximum domain of basic functions, such as the function √x (square root of x).

Side Objectives

1. Encourage critical thinking and the ability to solve mathematical problems.
2. Promote collaboration and teamwork through interactive activities.

Introduction

Duration: 10 - 15 minutes

The purpose of this stage of the lesson plan is to contextualize students on the key concepts that will be explored in the lesson, establishing clear objectives that will guide the learning process. Thus, this section serves as a focused and directed introduction to ensure that students are aligned with the competencies they should achieve by the end of the lesson. This will provide a clear and objective guidance for students during the proposed practical and interactive activities.

Warming Up

To introduce the theme of domain of a function, briefly explain that the domain represents all the possible input values that a function can accept. Then, ask students to use their cell phones to find an interesting fact related to the domain of mathematical functions. For example, how the concept of domain is applied in artificial intelligence algorithms or in computer graphics. Each student should share their fact with the class.

Initial Reflections

1. What does the domain of a function mean?

2. Why is it important to understand the domain of a function?

3. What are the different types of functions and how do we determine their domains?

4. How can the concept of domain be applied in real-world situations, such as in programming and graphic design?

5. What is the maximum domain of the function √x? And why?

Development

Duration: 70 - 80 minutes

The purpose of this stage of the lesson plan is to provide students with a practical and interactive experience, where they can apply the studied concepts creatively and contextually. By using modern technologies and engaging activities, it is expected that students will develop a deeper and more lasting understanding of the domains of functions.

Activity Suggestions

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

Activity 1 - Domain of Digital Influencers

> Duration: 60 - 70 minutes

- Objective: Teach the concept of the domain of a function in a creative and engaging way, using digital platforms that are part of students' daily lives.

- Description: Students will become digital math influencers and create content for social media explaining the concept of the domain of a function. They will use platforms like Instagram or TikTok to produce short videos that are informative and visually appealing.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group should choose a mathematical function and determine its domain. Examples: √x, 1/x, x^2.

• Groups should research creative ways to present the concept of domain and plan a short video (up to 1 minute) for social media.

• Use video editing apps like InShot or Adobe Spark to create the content.

• Share the videos on the chosen platform and use related hashtags, for example, #FunMath #MathFunction #Domain.

• Encourage students to watch and comment on their peers' videos, promoting constructive discussion.

Activity 2 - Mathematical Gamification: Adventure in the World of Functions

> Duration: 60 - 70 minutes

- Objective: Apply the concept of function domains interactively and competitively, encouraging collaboration and learning through digital games.

- Description: Students will participate in a digital RPG game where each challenge is related to calculating the domain of mathematical functions. Using gamification platforms, they will answer questions to advance in the game and earn rewards.

- Instructions:

• Divide students into groups of up to 5 people.

• Use a gamification platform like Kahoot! or Quizizz to create a themed game about functions and their domains.

• Each group will have to answer questions about the domains of different functions to advance in the game.

• Questions may include multiple-choice, true or false, and graph interpretation.

• The groups that answer the most questions correctly win prizes or extra points.

• At the end of the game, discuss the answers and clarify doubts about the concepts covered.

Activity 3 - Exploring Domains with Augmented Reality

> Duration: 60 - 70 minutes

- Objective: Use augmented reality technology to make studying function domains more visual and interactive, facilitating understanding of concepts and promoting interest in mathematics.

- Description: Students will use augmented reality (AR) apps to visualize and interact with function graphs. They will explore the domains of various functions in a visual and practical way, better understanding the concept through digital manipulation.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group should download and install an augmented reality app such as GeoGebra AR or Math AR on their phone.

• Groups will choose different mathematical functions and use the app to visualize their graphs.

• Explore the graphs in AR to identify the domains of the functions.

• Each group should create a digital presentation (using slides or video) explaining the domain of the chosen functions and illustrating with screenshots or videos of the graphs in AR.

• Present the conclusions to the class and discuss the different domains found.

Feedback

Duration: 15 - 20 minutes

The purpose of this stage of the lesson plan is to consolidate learning and promote critical reflection on the activities performed. Through group discussion and 360° feedback, students will have the opportunity to share experiences, learn from each other, and identify areas for improvement. This not only reinforces the concepts learned but also develops social and communication skills, which are fundamental for the holistic development of students.

Group Discussion

For the group discussion, start by thanking students for their efforts in the activities performed. Say that the intention now is to reflect on the experiences and share learnings. Follow a script like the following:

1. Introduction: Reinforce the importance of sharing knowledge and experiences to enrich collective learning.
2. Group Sharing: Ask each group to briefly share their conclusions, answering questions like: 'What did you learn about determining the domains of functions?', 'How was it to use digital tools to explore domains?' and 'What were the biggest challenges and how did you overcome them?'
3. Open Discussion: After each presentation, open the floor for questions and comments from other students, encouraging a constructive and enriching dialogue.

Reflections

1. How did the activity of creating content for social media help you understand the concept of the domain of a function? 2. What were the differences in understanding the domain when using different digital technologies (like AR and gamification)? 3. How would you apply the concept of the domain of a function in real-life situations or in other subjects?

360° Feedback

Instruct students to carry out a 360° feedback session. Explain the importance of constructive and respectful feedback and provide a model for students to follow. An example of a feedback structure may be:

1. Positive Aspects: Identify something that the peer did well during the activity.
2. Aspects to Improve: Point out an area that the peer can improve, always in a respectful and constructive manner.
3. Suggestions: Offer practical suggestions for improvement.

Ensure that everyone has the opportunity to speak and receive feedback, promoting an environment of respect and mutual growth.

Conclusion

Duration: 10 - 15 minutes

🔍 Purpose: 🔍

The purpose of this stage of the lesson plan is to consolidate learning in a fun and meaningful way, connecting mathematical concepts to students' real lives and digital world. Summarizing and reflecting on the lesson helps to reinforce knowledge, promoting a deeper understanding and the ability to apply what was learned in varied and modern contexts.

Summary

🎉 Fun Summary: The Domain Show! 🎉

🌟 Ladies and gentlemen, get ready for the Great Domain Show! Today, our students explored how to find the domain of functions, especially functions like √x. They became digital influencers, content creators, and even math RPG adventurers. Through creative videos, interactive games, and even augmented reality, we dove headfirst into the world of function domains. And most importantly, they learned that the domain is simply the set of all possible input values of a function. A spectacular learning experience! 🌟

World Connection

🌐 In Today's World: 🌐

We live in a digital era where mathematics is everywhere: from the algorithms that drive social networks to the graphs of online games. Understanding concepts like the domain of a function allows students to see math not just as a school subject, but as a powerful tool to understand and shape the world around them. Whether in programming, graphic design, or creating digital content, the domain of functions has practical and essential applications.

Practical Application

📌 Applications of the Topic in Daily Life: 📌

Knowing how to identify the domain of functions is crucial for various daily activities, especially in the digital age. From programming a mobile app to creating charts in design software or analyzing data in social networks, knowledge about domains enables problem-solving and innovation in multiple areas.