Lesson Plan | Teachy Methodology | Linear Systems: Resolution

Objectives

Duration: 10 - 15 minutes

This stage aims to guide students about the main and secondary objectives of the lesson, providing clarity on the specific skills that will be developed. By understanding the lesson goals, students can focus their efforts and engage more efficiently in practical activities, which is essential in active and digital teaching methodologies.

Main Objectives

1. Empower students to solve linear systems using Cramer's method.

2. Teach the application of scaling to solve linear systems.

3. Familiarize students with other alternative methods for solving linear systems.

Side Objectives

1. Strengthen students' critical thinking and analytical skills.
2. Encourage collaboration and knowledge sharing among students during problem-solving.

Introduction

Duration: 10 - 15 minutes

This stage serves to engage students from the beginning of the lesson, connecting the theme with their personal experiences and real-world contexts. Using mobile devices to search for information makes the activity dynamic and interactive, stimulating curiosity and setting the stage for an initial debate that will reinforce prior knowledge and pave the way for more in-depth practical activities.

Warming Up

Warm-up: Start the lesson by presenting the theme with the following introduction: "Today we will explore linear systems and their various forms of resolution, such as Cramer's method, scaling, and other alternative methods. Linear systems are fundamental in various fields, including computer science, engineering, and economics. To begin, ask students to use their cell phones to find an interesting fact or practical application about linear systems." 🧐📱

Initial Reflections

1. What is a linear system?

2. What methods of solving linear systems do you know?

3. How do you think linear systems are applied in the real world?

4. Have you used any method for solving linear systems in your daily life or in another course?

5. What is the importance of linear systems in science and technology?

Development

Duration: 70 - 80 minutes

This stage aims to provide students with a practical and engaging experience in solving linear systems. By utilizing technologies and digital tools, students will have the opportunity to apply the resolution methods learned in a creative and contextualized way, reinforcing theoretical knowledge in a playful and collaborative manner.

Activity Suggestions

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

Activity 1 - 💻 Math Influencer 🌟

> Duration: 60 - 70 minutes

- Objective: Teach students to solve linear systems using Cramer's method in a fun and interactive way, developing communication and video editing skills.

- Description: Students will create a short video in the style of a 'digital influencer' explaining how to solve a linear system using Cramer's method. The video should be dynamic, engaging, and informative, using, if possible, editing elements and visual graphics to enhance the presentation. The goal is for them to teach the theory in a way that can be shared on social media.

- Instructions:

• Form groups of up to 5 students.

• Choose a linear system to solve using Cramer's method. Research an interesting or relevant example.

• Develop a script for the video, which should include an introduction to the problem, an explanation of Cramer's method, and a step-by-step solution of the system.

• Use video editing tools on cell phones or computers to record and edit the video. The use of graphics and animations is encouraged.

• Share the video in the class group so that other teams can watch and comment.

Activity 2 - 🎮 Gamification: Linear System Challenge 🚀

> Duration: 60 - 70 minutes

- Objective: Practice solving linear systems through different methods in a competitive and fun way, promoting teamwork and critical thinking.

- Description: Students will participate in a gamified competition where they need to solve linear systems using different methods (Cramer, scaling, etc.). The activity will be conducted through an online quiz platform, such as Kahoot or Quizizz, where each correct system accumulates points for the team.

- Instructions:

• Form groups of up to 5 students.

• Access the chosen quiz platform (Kahoot or Quizizz).

• Each group must solve questions related to linear systems within a given time, using different methods (Cramer, scaling, etc.) to earn points.

• Each correct answer accumulates points, and at the end of the competition, the teams with the highest scores will be recognized.

• Encourage discussion among group members to verify and validate their answers before submitting in the quiz.

Activity 3 - 📱 Mathematical Investigation on Instagram 🕵️‍♂️

> Duration: 60 - 70 minutes

- Objective: Empower students to solve linear systems using the scaling method creatively, developing visual communication and image editing skills.

- Description: Students will create a series of Instagram posts in a carousel format, explaining the step-by-step process of solving linear systems through the scaling method. They should use images, graphics, and short explanatory texts to make the explanation clear and engaging.

- Instructions:

• Form groups of up to 5 students.

• Choose a linear system to solve using the scaling method. Research an interesting or relevant example.

• Develop a script for the posts, which should include an introduction to the problem, an explanation of the scaling method, and a step-by-step solution of the system.

• Use graphic design apps (like Canva) to create the carousel posts on Instagram.

• Share the posts in the class group so that other teams can view and comment.

Feedback

Duration: 20 - 25 minutes

The purpose of this stage is to consolidate learning, allowing students to reflect on their experiences and exchange constructive feedback. Group discussion and 360° feedback promote an environment of collaboration and continuous development, essential for meaningful and integrated learning.

Group Discussion

💬 Group Discussion: Promote a group discussion where students share their experiences and conclusions from the activities carried out. Use the following script to introduce the discussion:

Introduction: 'Now that all the groups have completed their activities, let's share our experiences. I would like each group to briefly present what they learned and the challenges they faced.' Group Feedback: 'Each group will have 3-5 minutes to present their conclusions. Please also comment on any difficulties you encountered and how you resolved them.' General Discussion: 'After all groups have presented, we will discuss together the methods used. Did anyone have a different approach or discover an innovative solution?'

Reflections

1. 📌 Reflection Questions: Which method of solving linear systems did you find most effective? Why? How did digital tools help or hinder the understanding of the concepts? What was the biggest challenge faced by your group, and how did you deal with it?

360° Feedback

🔄 360° Feedback: Instruct students to give constructive feedback to each other within their groups. Guide them to ensure that the feedback is always respectful and focused on three aspects:

Positive Aspects: 'What did your colleague do very well during the activity?' Areas for Improvement: 'What area do you believe your colleague could improve in?' Constructive Suggestions: 'What suggestions would you give to improve the next group activity?'

Conclusion

Duration: 10 - 15 minutes

📝 Purpose: This stage is crucial for consolidating the acquired knowledge and reflecting on the practical applicability of the learned concepts. By giving a clear view of how mathematics integrates with the modern world and highlighting its daily relevance, the conclusion reinforces the importance of the content and keeps students continuously engaged and motivated. ✔️

Summary

🎉 Lesson Summary: Today we navigated through the universe of linear systems and their various resolution techniques! 🚀 Through Cramer's method 🧮, scaling 📉, and other alternative methods, students became true mathematical digital influencers 🌟, solved gamified challenges 🎮, and explored Instagram as a learning tool 📱. It was a creative and practical mathematical journey that transformed complex concepts into dynamic and fun activities! 🌈

World Connection

🌍 In Today's World: Linear systems are not just in math books. They are the foundation of numerous technological innovations that we use daily, from social media algorithms to navigation systems and financial forecasting. Connecting academic learning with these modern applications shows students the real and ongoing impact of mathematical concepts in contemporary technology and science. 💡

Practical Application

⚙️ Practical Applications: Understanding and solving linear systems is essential for tackling complex problems in engineering, computer science, economics, and many other fields. This critical skill develops students' analytical capacity and logical thinking, preparing them to face practical and technical challenges in the future. 📊🔍