Lesson Plan | Teachy Methodology | First Degree Function: Inputs and Outputs

Objectives

Duration: 15 - 20 minutes

The purpose of this stage is to ensure that students understand the essential concepts related to linear functions, including their definition, graphical representation, and how to determine inputs and outputs. This basic understanding is crucial for them to apply such knowledge in practical and contextual activities throughout the lesson.

Main Objectives

1. Understand the definition of a linear function and its graphical representation.

2. Identify the inputs (domain) and outputs (image) of a linear function.

Side Objectives

1. Explore the use of digital tools to visualize linear functions.
2. Encourage collaboration among students through hands-on group activities.

Introduction

Duration: 15 - 20 minutes

The purpose of this stage is to engage students right at the start, contextualizing the lesson's theme with real-world examples and encouraging research and information sharing. This helps solidify their prior knowledge and prepares the ground for more practical and collaborative activities during the lesson.

Warming Up

📝 Warm-up: Start the lesson by introducing the topic 'Linear Function: Inputs and Outputs'. Briefly explain that a linear function is a mathematical relationship where each input (or value of x) has a single output (or value of y), and this relationship can be graphically represented by a straight line. To make the start more dynamic, ask students to use their phones to find an interesting or recent fact about the use of linear functions in modern contexts, such as economics, technology, or social media. Encourage them to share their discoveries with the class.

Initial Reflections

1. 📌 What did you understand by linear function?

2. 📌 How can a linear function be visualized graphically?

3. 📌 What are some real-world cases where linear functions are applied?

4. 📌 What inputs (values of x) and outputs (values of y) did you find in your research?

5. 📌 How do you think these functions help in daily life and in different professions?

Development

Duration: 75 - 90 minutes

The purpose of this stage is to promote the practical application of linear function concepts in modern and relevant contexts for students. The proposed activities encourage collaboration, the use of digital tools, and creativity, ensuring students engage meaningfully with the content.

Activity Suggestions

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

Activity 1 - Digital Influencer Challenge 📱

> Duration: 60 - 70 minutes

- Objective: Apply concepts of linear functions in practical and current contexts, using digital media tools to foster collaborative learning and creativity.

- Description: In this activity, students will be challenged to create 'digital influencer' style content explaining linear functions using different social media platforms. They will explore how they can convey mathematical concepts clearly and attractively, using practical everyday examples.

- Instructions:

• Divide students into groups of up to 5 people.

• Each group must choose a popular social media platform (Instagram, TikTok, YouTube, etc.) to create their content.

• Groups should research and identify examples of using linear functions in real situations, such as follower growth, sales forecasts, and recommendation algorithms.

• Using short videos, simple graphics, and accessible language, students should explain the concept of linear function, its inputs, and outputs.

• Each group must publish their content on the chosen platform and share the link with the class.

• Then, each group should present their work and receive feedback from peers and the teacher.

Activity 2 - Problem Solving with Gamification 🕹️

> Duration: 60 - 70 minutes

- Objective: Encourage critical thinking and problem-solving through the use of gamification, applying concepts of linear functions in practical and collaborative situations.

- Description: Students will participate in a problem-solving game where each completed task unlocks the next stage. The goal is to solve linear function problems that simulate real situations, encouraging collaboration and practical application of knowledge.

- Instructions:

• Divide the class into groups of up to 5 people.

• Each group must access an online gamification platform, such as Kahoot or Quizizz, where the problems are set up as game stages.

• The problems should include practical situations, such as calculating profits, predicting company growth, or planning a trip, all based on linear functions.

• Groups must collaborate to solve each problem and enter the answer into the platform. Immediate feedback will be provided.

• Upon completing all stages, groups should discuss how they applied their knowledge of linear functions to solve the presented problems.

Activity 3 - Startup Growth Projection 💼

> Duration: 60 - 70 minutes

- Objective: Apply linear functions in real business scenarios, encouraging critical analysis and the use of digital tools for data visualization.

- Description: In this activity, students will take on the role of financial analysts for a fictional startup. They will use linear functions to project the company's growth, considering different investment and return scenarios.

- Instructions:

• Divide the students into groups of up to 5 people.

• Provide each group with fictitious data about a startup, including information about initial investments, operating costs, and revenues.

• Each group must use linear functions to project the startup's growth over a determined period (e.g., 1 year, 5 years).

• Groups should create graphs to illustrate their projections and identify the inputs (investments) and outputs (revenues) of the function.

• Each group must prepare a presentation with their projections and conclusions, sharing their findings with the class.

Feedback

Duration: 20 - 25 minutes

The purpose of this stage is to consolidate learning through reflection and experience sharing, as well as to promote a culture of constructive feedback that fosters continuous improvement and personal growth among students. The group discussion and the 360° feedback step provide an opportunity for critical and collaborative reflection, which is essential for the deep assimilation of the studied concepts.

Group Discussion

☕ Group Discussion: After completing the practical activities, organize a group discussion with all students. Start the session by highlighting the importance of sharing knowledge and learnings. Follow this brief outline to introduce the discussion:

1. Thank everyone for their effort and dedication in the practical activities.
2. Invite each group to present a summary of their activities, practical examples used, and key learnings.
3. Ask them to comment on the challenges encountered and how they overcame them.
4. Encourage the class to ask questions and give constructive suggestions about the work presented by their peers.

The idea is to foster a collaborative environment and collective learning, where everyone can enrich their knowledge through others' experiences.

Reflections

1. 📌 What were the main learnings you had by applying linear functions in practical contexts? 2. 📌 How did the use of digital tools and social media help in understanding mathematical concepts? 3. 📌 What challenges did you encounter when translating mathematical concepts into modern contexts and how did you overcome them?

360° Feedback

👥 360° Feedback: Instruct students to carry out a 360° feedback step, where each student should receive feedback from their group peers. Guide them to ensure the feedback is constructive, focusing on positive aspects and areas for improvement. Suggest they follow these guidelines:

1. Be specific: Indicate behaviors and concrete actions that contributed to the group's success.
2. Be respectful: Focus on suggesting improvements in an encouraging and non-critical manner.
3. Be balanced: Include both positive aspects and suggestions for improvement.

This helps promote an environment of personal and professional growth, encouraging self-reflection and appreciation of teamwork.

Conclusion

Duration: 10 - 15 minutes

🎯 Purpose: The conclusion aims to lightly and playfully review what was learned, connecting the concepts to their practical and relevant applications in the modern world. It is a moment to reinforce the importance of the content and encourage students to see mathematics as a powerful tool for understanding and navigating current dynamics.

Summary

📚 Fun Summary: "Imagine you are a mathematical DJ! 🎧 Today, we mixed concepts of linear functions, where each x value (the beat) has a y value (the melody). We navigated through the graph of this musical line and explored how numbers dance in the rhythm of inputs and outputs."

World Connection

🌐 Connection to the Current World: In a world where data and algorithms command many areas of our lives, understanding linear functions is essential. They are present in the recommendation algorithms of social media, in economic growth forecasts, and even in digital marketing strategies. Knowing how to manipulate these functions is like having the key to decipher many of the secrets of the modern world.

Practical Application

🛠️ Applications in Daily Life: Linear functions are all around us, facilitating decision-making through forecasts and data analysis. They are used to project budgets, optimize processes, and understand trends. Understanding these concepts allows you to have a clearer and more informed view of everyday and professional situations.