Lesson Plan | Socioemotional Learning | First Degree Function: Inputs and Outputs

Objectives

Duration: 10 to 15 minutes

The purpose of this stage is to introduce the theme 'First Degree Function' and prepare students for the content to be learned, while developing socio-emotional skills through the RULER method. This stage is essential to situate students in the learning context, engage them meaningfully, and develop skills of self-awareness and self-control, preparing them for the following activities.

Main Goals

1. Recognize the concept of first-degree functions, identifying the 'input' and 'output' variables.

2. Understand the practical application of first-degree functions in daily life, establishing connections with real situations.

3. Develop the ability to solve mathematical problems involving first-degree functions using appropriate strategies.

Introduction

Duration: 10 to 15 minutes

Emotional Warm-up Activity

Mental Journey to Focus

Guided Meditation with Creative Visualization is a practice that involves guiding students through a series of relaxing and focused mental images. This helps promote presence, focus, and concentration, preparing them emotionally and mentally for learning. The activity is effective in calming the mind, reducing anxiety, and increasing attention, creating a conducive environment for assimilating the class content.

1. Ask students to sit comfortably in their chairs, with their feet flat on the floor and hands resting on their thighs.

2. Request them to close their eyes and take a few deep breaths, inhaling through the nose and exhaling through the mouth, slowly.

3. Begin guiding them to imagine a calm and pleasant place, such as a quiet beach or a flower-filled field. Describe the environment in detail, like the sound of the waves, the smell of the flowers, and the sensation of the gentle breeze on their face.

4. Encourage them to visualize themselves completely relaxed in that place, feeling safe and at peace.

5. Ask them to hold that image for a few minutes, continuing to breathe deeply and slowly.

6. Gradually, bring the students back to the present by asking them to move their fingers and toes, and finally open their eyes when they feel ready.

Content Contextualization

First-degree functions are present in various situations in our daily lives, such as calculating the cost of products, planning routes, and even in time management. Understanding how the inputs and outputs of a function relate can help us make more informed and efficient decisions. For example, knowing how to interpret a function that represents the fuel consumption of a car in relation to the distance traveled can aid in resource conservation and planning more sustainable trips. Recognizing the importance of these functions allows us to see mathematics not just as numbers and formulas, but as a powerful tool for solving real problems and improving our quality of life.

Development

Duration: 60 to 75 minutes

Theoretical Framework

Duration: 15 to 20 minutes

1. Definition of First-Degree Function: Explain to students that a first-degree function is a mathematical relationship between two variables, where each value of the first variable (input) is associated with exactly one value of the second variable (output). The general form of the first-degree function is f(x) = ax + b, where a and b are constants.

2. Slope and Intercept: Detail that a is the slope (rate of change) and b is the y-intercept. Provide practical examples, such as the formula f(x) = 2x + 3, where 2 is the slope of the line and 3 is the point where the line crosses the y-axis.

3. Practical Examples: Present examples from daily life, such as calculating the total cost of a product with a fixed price plus a per unit charge. For instance, if a taxi charges a fixed fare of R$ 5.00 plus R$ 2.00 per kilometer traveled, the function that describes the total cost in relation to the distance d would be C(d) = 2d + 5.

4. Graph of the Function: Explain how to draw the graph of a first-degree function. Show that the graph is a straight line and highlight the importance of the points of intersection with the x and y axes. Use concrete examples to draw the graph and identify these points.

5. Inputs and Outputs: Emphasize that in a first-degree function, the input variable (usually x) is independent, and the output variable (usually y or f(x)) is dependent. Explain how by substituting values of x in the function, the corresponding values of y are obtained.

Socioemotional Feedback Activity

Duration: 35 to 40 minutes

Exploring Functions in Daily Life

In this activity, students will form groups and create examples of first-degree functions based on everyday situations. Each group will present its example to the class, explaining the inputs and outputs of the function and drawing the corresponding graph.

1. Divide students into groups of 3 to 4 people.

2. Instruct each group to think of a real-world situation where a first-degree function can be applied (e.g., cost of a product, travel planning, etc.).

3. Ask them to write the first-degree function that describes the chosen situation, clearly identifying the input and output variables.

4. Each group must draw the graph of the function and identify the points of intersection with the x and y axes.

5. The groups should prepare a brief presentation (3 to 5 minutes) to explain their function to the class.

6. During the presentation, encourage students to discuss the emotions involved in solving the problem and how socio-emotional skills helped in the process.

Group Discussion

After the group presentations, lead a group discussion applying the RULER method. Start by asking students to recognize the emotions experienced during the activity, such as anxiety, excitement, or satisfaction. Then, ask them to understand the causes of these emotions, discussing what triggered them. Encourage students to name these emotions correctly, using appropriate emotional vocabulary.

Express the importance of communicating these emotions appropriately, both during group activity and presentation. Lastly, address strategies to regulate these emotions by discussing self-control and emotional management techniques that can be used in future situations, both academic and personal. Encourage students to reflect on how developing these skills can contribute to their personal and academic growth.

Conclusion

Duration: 15 to 20 minutes

Emotional Reflection and Regulation

To carry out a reflection on the challenges faced in the class and how students managed their emotions, ask them to write a paragraph or organize a group discussion. Instruct them to reflect on the difficulties encountered in understanding the concept of first-degree functions and in working in groups. Ask how they felt at different moments of the class: during the theoretical explanation, in the completion of group activities, and during the presentations. Encourage them to be honest about their emotions and think about how they could have managed those emotions more effectively.

Objective: The objective of this subsection is to encourage self-assessment and emotional regulation, helping students identify effective strategies to cope with challenging situations. By reflecting on their emotions and behaviors, students develop greater self-awareness and self-control, which is vital for personal and academic growth. This reflection also allows students to recognize their peers' emotions, promoting greater social awareness and empathy.

Closure and A Look Into The Future

At the end of the class, propose that students set personal and academic goals related to the content learned. Ask them to think about how they can apply their knowledge of first-degree functions in everyday situations and how they can improve their group work and emotional management skills. Encourage them to write these goals in a notebook or on paper that they can review periodically.

Possible Goal Ideas:

1. Fully understand the concept of first-degree functions.

2. Apply first-degree functions in everyday situations.

3. Improve communication and collaboration in group activities.

4. Develop effective emotional regulation techniques.

5. Reflect regularly on personal and academic progress. Objective: The objective of this subsection is to strengthen students' autonomy and the practical application of their learning. By setting personal and academic goals, students are encouraged to continue developing their skills, both emotional and cognitive, outside the classroom environment. This promotes continuity in academic and personal development, preparing them for future challenges and opportunities.