Lesson Plan | Teachy Methodology | Inequalities: Introduction

Objectives

Duration: 10 - 15 minutes

The purpose of this stage is to clearly establish the learning objectives for students, preparing them for the understanding and application of basic first-degree inequalities. This definition will assist in guiding subsequent practical activities and engaging students with the previously studied content.

Main Objectives

1. Understand the definition and notation of basic first-degree inequalities.

2. Apply techniques to solve inequalities of the types greater than, less than, greater than or equal to, and less than or equal to.

Side Objectives

1. Relate inequalities to practical situations in the students' daily lives.
2. Develop skills for interpreting and solving mathematical problems.

Introduction

Duration: 15 - 20 minutes

🎯 Purpose: The purpose of this stage is to engage students from the beginning, stimulating curiosity and relating the topic to their daily lives. This not only establishes a personal connection with the content but also activates their prior knowledge, preparing them for active participation in subsequent activities.

Warming Up

📱 Warm-up: Inequalities are powerful mathematical tools for comparing values and establishing limits. However, much more than numbers, they help us make informed decisions in everyday situations. Ask students to use their phones to find an interesting fact about inequalities, such as their application in economics, data science, or even in social media algorithms. Each student or group of students should share the fact they found with the class.

Initial Reflections

1. ❓ What did you find about inequalities that you found interesting?

2. ❓ How do you think inequalities can be applied in everyday situations?

3. ❓ Can you remember a situation in which you used (even unknowingly) an inequality to make a decision?

4. ❓ What are the fundamental differences between an equation and an inequality?

5. ❓ What symbols are used to represent inequalities and what does each mean?

Development

Duration: 60 - 70 minutes

The purpose of this stage is to provide students the opportunity to apply and deepen their knowledge about inequalities in a practical and contextualized manner. The proposed activities encourage collaboration, creativity, and the use of digital technologies, making learning more dynamic and relevant to students' realities.

Activity Suggestions

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

Activity 1 - 🕵️‍♂️ Detectives of Inequalities

> Duration: 60 - 70 minutes

- Objective: Apply knowledge about inequalities in a playful and collaborative way, reinforcing problem-solving abilities creatively.

- Description: In this gamified activity, students will become mathematical detectives who need to solve a series of riddles based on inequalities to uncover a mystery. Using mobile devices and computers, students will access an online puzzle platform that presents real problems involving inequalities.

- Instructions:

• Form groups of up to 5 students.

• Access the online puzzle platform (e.g., Kahoot or another available gamification tool).

• Each group must solve a series of riddles that involve basic first-degree inequalities.

• The riddles will be presented at different levels of difficulty. After each solution, the group advances to the next riddle.

• By correctly solving all the inequalities, students will uncover clues that will lead them to solve the final mystery.

• Students should record their answers and problem-solving strategies in a shared document (such as Google Docs).

Activity 2 - 📸 Influencers of Inequalities

> Duration: 60 - 70 minutes

- Objective: Develop communication and creativity skills by applying concepts of inequalities in an accessible and modern digital format.

- Description: Students will become digital influencers specialized in mathematics. They will need to create content for social media explaining the concept of inequalities and how to solve them. The aim is to prepare a short video, an Instagram post, or a TikTok that is clear, concise, and creative.

- Instructions:

• Form groups of up to 5 students.

• Choose the format of digital content to be created: short video, Instagram post, or TikTok.

• Plan and script the content, including clear explanations about inequalities, practical examples, and solving tips.

• Record the content using available phones or computers.

• Edit the video/post with free editing apps (like Canva, iMovie, etc.) to ensure the material is attractive and educational.

• Share the content in the class group or on a platform designated by the teacher for peer evaluation and comments.

Activity 3 - 🌐 Inequalities Around the World

> Duration: 60 - 70 minutes

- Objective: Expand students' understanding of the importance of inequalities and their practical applications in real and global contexts.

- Description: Students will explore how inequalities are applied in different global contexts. Using the internet, they will research how inequalities are used in various fields such as economics, data science, and engineering, and create a digital presentation to share their findings with the class.

- Instructions:

• Form groups of up to 5 students.

• Research online about the application of inequalities in various fields around the world.

• Select 2-3 practical examples of the use of inequalities in global contexts.

• Create a digital presentation (using tools like Google Slides or PowerPoint) to illustrate and explain the examples found.

• Presentations should include images, graphs, and detailed explanations.

• Each group will present their findings to the class, explaining how inequalities are used in each researched context and answering their peers' questions.

Feedback

Duration: 20 - 25 minutes

🎯 Purpose: The purpose of this stage is to promote reflection and sharing of acquired knowledge, as well as to provide a space for constructive feedback among students. This will allow students to consolidate their learning, recognize their own merits and areas for improvement, and strengthen their communication and collaboration skills.

Group Discussion

📢 Group Discussion: Start the discussion by asking each group to share their main discoveries and experiences during the activities. Use the following guide to steer the conversation:

1. Introduction: 'Let’s begin by sharing the learnings and experiences we had in today’s activities. Each group will have a few minutes to present their main insights.'

2. Sharing: Invite a representative from each group to present their conclusions.

3. General Discussion: 'As you listened to the different groups, what patterns or differences did you notice in the applications of inequalities?'

4. Conclusion: 'How can we apply what we learned today in other areas of our study or our everyday lives?'

Reflections

1. ❓ How did today’s activities help you to better understand inequalities? 2. ❓ What was the biggest challenge your group faced and how did you resolve it? 3. ❓ In what way did the use of technology and social media influence your way of learning about inequalities?

360° Feedback

🔄 360° Feedback: Instruct students to carry out a 360° feedback step, where each student should give and receive feedback from their group peers. Guide them to focus on constructive and respectful feedback. Use the following guidelines:

1. Positive Feedback: Each student should highlight something positive about their peers' participation.

2. Areas of Improvement: Each student should suggest an area where their peer can improve.

3. Experiences: Encourage students to share how group work helped them to better understand inequalities.

Conclusion

Duration: 10 - 15 minutes

🎯 Purpose: This stage aims to consolidate the acquired knowledge in a light and engaging way, reinforcing the practical relevance of inequalities in modern life. By summarizing and connecting the content with the real world, we seek to ensure that students understand the importance of the topic and feel motivated to apply the concepts in their daily lives. 🌟

Summary

📚 Fun Summary: To understand inequalities, imagine you are in an RPG game where each mission requires defeating mathematical monsters with specific strategies. We learned to use the magical tools of the symbols (> , < , ≥ , ≤) to determine which values of X won each battle. Thinking about inequalities is like solving escape room puzzles - each step brings us closer to the final solution and makes us feel like true mathematical detectives! 🕵️‍♂️🔍

World Connection

🌍 In Today's World: In daily life, inequalities are everywhere! From the algorithms that manage your social media, to financial planning, or even managing queues at theme parks. They help to make smart and efficient decisions, making everything more connected and optimized. After all, our modern life is a great puzzle of numbers and rules that we need to understand to navigate with skill! 📱💡

Practical Application

✨ Applications: Understanding inequalities is crucial for solving everyday problems, such as determining how many items we can buy with a limited budget or even optimizing transport routes to be more efficient. These mathematical skills ensure that we can make logical and informed decisions in various situations, whether simple or complex. 💰🚀