Lesson Plan | Lesson Plan Iteratif Teachy | Function: Injective and Surjective

Goal

Duration: 10 - 15 minutes

This stage aims to ensure that students clearly grasp the main and secondary objectives of the lesson, establishing a strong foundation for the practical activities that follow. By the end of this stage, students should feel equipped to apply the concepts of surjective and injective functions in both practical and digital contexts, enhancing their overall learning experience.

Goal Utama:

1. Understand what a surjective function is by recognizing that every output in the codomain corresponds to at least one element from the domain.

2. Understand what an injective function is by identifying that distinct inputs lead to distinct outputs.

Goal Sekunder:

1. Connect the concepts of surjective and injective functions to real-life scenarios and the digital realm.
2. Encourage critical and analytical thinking through collaborative and tech-driven activities.

Introduction

Duration: 10 - 15 minutes

This stage's goal is to ensure that students are clear about the main and side objectives of the lesson, laying a strong foundation for the practical activities to come. By the end, students should be ready to apply the concepts of surjective and injective functions in meaningful and relatable contexts.

Warming Up

To kick off the lesson on injective and surjective functions, provide a brief explanation that a surjective function is one where every output in the codomain is mapped to at least one element from the domain, while an injective function features distinct outputs for distinct inputs. Then, encourage students to use their smartphones to research an interesting fact or practical application of these concepts online, and share their findings with the class.

Initial Thoughts

1. What is the primary distinction between an injective function and a surjective function?

2. How can you identify an injective function by examining its graph?

3. Did you discover any practical applications of injective or surjective functions through your research? Would you mind sharing?

4. Why is it crucial to understand the properties of injective and surjective functions in mathematics and real life?

5. Can you identify instances in the digital world where these functions come into play? What are they?

Development

Duration: 70 - 80 minutes

This stage aims to deliver active and relevant learning where students apply the concepts of injective and surjective functions in practical collaborative activities, while digital technologies serve as the main tool. This approach not only reinforces the content but also cultivates critical skills for the 21st century, including teamwork, creativity, and critical thinking.

Activity Suggestions

Activity Recommendations

Activity 1 - 🕵️‍♂️ Digital Treasure Hunt 🎲

> Duration: 60 - 70 minutes

- Goal: Foster the practical application of injective and surjective function concepts through digital and collaborative activities that offer an enjoyable learning experience.

- Deskripsi Activity: Students will engage in a digital treasure hunt using QR codes placed around the classroom or school. Each QR code leads to problems related to injective and surjective functions, mimicking real-life scenarios or digital contexts.

- Instructions:

• Split students into groups of up to 5 members.

• Hand out a map detailing the locations of the hidden QR codes.

• Each QR code will present a problem or scenario for the students to tackle.

• The problems should illustrate injective and surjective functions in practical contexts, like social media algorithms and cryptography.

• Students will submit their answers through an online form.

• The group that solves the problems correctly and the quickest will be declared the winners.

Activity 2 - 🎬 Mathematical Influencers 📲

> Duration: 60 - 70 minutes

- Goal: Encourage understanding of injective and surjective function concepts while fostering creativity and practical application in the context of social media.

- Deskripsi Activity: Students will create short, social media-style videos that explain injective and surjective functions. The videos should be creative and incorporate practical examples from everyday life or the digital landscape.

- Instructions:

• Form groups of up to 5 students.

• Each group selects a theme connected to injective and surjective functions to explore.

• Groups will use their phones and video editing applications.

• Videos must be brief (1-2 minutes) and include real-life examples, such as YouTube recommendations or Instagram filters.

• Students will upload the videos to a platform designated by the teacher (e.g., Google Classroom or a private YouTube channel).

• All groups will view each other's videos and provide constructive feedback.

Activity 3 - 🎮 Math Gamification 🔢

> Duration: 60 - 70 minutes

- Goal: Leverage gamification to reinforce the concepts of injective and surjective functions, creating an interactive and engaging learning environment.

- Deskripsi Activity: Students will participate in an online game where each level presents a mathematical challenge related to injective and surjective functions, utilizing interactive platforms such as Kahoot or Quizizz.

- Instructions:

• Divide students into groups of up to 5 members.

• Explain the rules of the game and how the platforms operate.

• Each game level introduces a problem to solve related to injective and surjective functions.

• Groups will discuss and submit their answers via the platform.

• Points will be awarded based on the accuracy and speed of responses.

• The group with the highest score at the end will win the competition.

Feedback

Duration: 15 - 20 minutes

This stage's goal is to cement learning through reflection and the sharing of experiences, while also cultivating communication and collaboration skills. Group discussions help reinforce knowledge through diverse perspectives, and 360° feedback promotes personal and academic growth, fostering a culture of respect and continuous improvement.

Group Discussion

Facilitate a group discussion where each team shares their learnings and insights after the activities. Suggest that a group representative present the key ideas. Use the following guide to navigate the discussion:

1. Introduction: Ask students to briefly recap the activities they participated in.
2. Learning: Encourage students to share what they discovered about injective and surjective functions.
3. Challenges: Inquire if any specific challenges arose during the activities and how the group addressed them.
4. Practical Application: Stimulate conversation about how injective and surjective functions relate to real-life scenarios, both in day-to-day life and the digital landscape.

Reflections

1. What key differences did you observe between injective and surjective functions during the activities? 2. How did the use of digital tools enhance your understanding of these mathematical concepts? 3. In what ways can you apply what you learned today in other subjects or in life outside of school?

Feedback 360º

Guide a 360° feedback session, ensuring every student receives constructive insights from group members. Encourage respectful feedback using this format:

1. Positive Aspects: What did your peer excel at during the activity?
2. Areas for Improvement: Where could your peer grow?
3. Practical Suggestions: What advice would you give to support your peer's improvement?

Conclusion

Duration: 10 - 15 minutes

This stage aims to consolidate learning in an enjoyable and engaging manner, reinforcing the link between mathematical theory and its real-world applications. By summarizing key points and relating them to tangible situations, the conclusion not only solidifies learned content but also sparks ongoing interest in the topic among students.

Summary

🎉 Exciting Recap! 🎉 Think of a card game where each unique card perfectly pairs with another. This symbolizes the Injective Function! Now envision all cards laid out on the table, each corresponding to a different person. This represents the Surjective Function! Today, we delved into these two intriguing functions through activities like a digital treasure hunt, recording TikTok-style videos, and tackling an interactive quiz. What a fun and interactive mathematical journey it has been! 🚀

World

🌐 In Today’s Digital Age 🌐 Injective and surjective functions are far from mere academic concepts; they're all around us! From algorithms that dictate which videos populate your YouTube feed to the cryptography that secures your messages on WhatsApp. Grasping these functions equips us with insights into how the technologies surrounding us operate and affect our daily lives.

Applications

📈 Real-World Applications 📈 Grasping injective and surjective functions is vital for understanding and developing digital technologies. They're instrumental in programming, cryptography, data analysis, and even engineering. Knowing how and when to apply these functions can pave the way for various careers and opportunities in our digital future.