Lesson Plan | Socioemotional Learning | Operations: Negative Numbers

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage is to introduce students to the topic of operations with negative numbers, highlighting the specific mathematical skills that will be developed during the lesson. Additionally, it aims to show how emotional understanding can improve the approach to and resolution of mathematical problems, preparing students to deal with practical situations involving negative numbers, such as personal finance.

Main Goals

1. Develop the ability to perform basic operations with integers, including addition, subtraction, multiplication, and division.

2. Apply knowledge of negative numbers to solve practical problems, such as financial debt situations.

3. Promote understanding of how emotions can influence the approach to mathematical problems and decision-making.

Introduction

Duration: (15 - 20 minutes)

Emotional Warm-up Activity

Mindfulness Moment: Preparing the Mind for Math

The emotional warm-up activity will be a Mindfulness practice aimed at promoting students' focus, presence, and concentration. Mindfulness involves paying full attention to the present moment, helping students to prepare mentally and emotionally for the math lesson.

1. Ask students to sit comfortably in their chairs, with their feet firmly planted on the floor and their hands resting on their knees.

2. Instruct students to gently close their eyes and take a deep breath, inhaling through the nose and exhaling through the mouth.

3. Guide students to concentrate on their breathing, feeling the air entering and leaving their lungs, and to try to keep their minds focused on this process.

4. If any thoughts or distractions arise, ask them to gently acknowledge those thoughts and then return their attention to the breath.

5. After about 5 minutes, ask students to slowly open their eyes and bring their attention back to the classroom.

6. Conclude the activity by asking students how they feel and if they noticed any change in their mental or emotional state.

Content Contextualization

Negative numbers are present in various everyday situations, such as when checking bank balances, where a negative value may indicate debt. Understanding how to work with these numbers is essential for making responsible financial decisions. Furthermore, emotions can influence the way we approach mathematical problems. By recognizing and regulating these emotions, students can enhance their ability to solve problems and make more informed and balanced decisions.

Development

Duration: (60 - 75 minutes)

Theoretical Framework

Duration: (20 - 25 minutes)

1. Introduction to Negative Numbers: Explain that negative numbers are numbers less than zero, represented with a minus sign (-) before the number. They are used to represent debts, temperatures below zero, depths below sea level, among others.

2. Addition of Negative Numbers: When adding two negative numbers, the result is a negative number whose absolute value is the sum of the absolute values of the two numbers. Example: -3 + (-5) = -8.

3. Subtraction of Negative Numbers: To subtract a negative number, add the absolute value of the negative number to the other number. Example: -7 - (-2) = -7 + 2 = -5.

4. Multiplication of Negative Numbers: Multiplying two negative numbers results in a positive number. Example: -4 * -3 = 12. Multiplying a negative number by a positive number results in a negative number. Example: -4 * 3 = -12.

5. Division of Negative Numbers: Dividing two negative numbers results in a positive number. Example: -15 ÷ -3 = 5. Dividing a negative number by a positive number results in a negative number. Example: -15 ÷ 3 = -5.

6. Practical Application - Debts: Explain how negative numbers are used to represent debts. For example, if a person owes R$ 20, this can be represented as -20. If they pay R$ 5 of the debt, they now owe R$ 15, represented as -20 + 5 = -15.

Socioemotional Feedback Activity

Duration: (30 - 35 minutes)

Operations with Negative Numbers in Everyday Life

In this activity, students will work in pairs to solve practical problems involving operations with negative numbers. They will use everyday scenarios, such as debt management and temperature changes, to apply mathematical knowledge and discuss how emotions can influence their decisions.

1. Divide students into pairs and distribute an activity sheet containing various problems involving operations with negative numbers.

2. Ask students to solve the problems together, discussing each step and supporting each other in finding the solutions.

3. After solving the problems, each pair should discuss how they felt working with negative numbers and if any emotions influenced their decisions and reasoning.

4. Encourage students to use the RULER method to reflect on their emotions: Recognizing, Understanding, Labeling, Expressing, and Regulating.

5. Gather students in a circle to share their experiences and discuss how emotional management can influence performance in mathematical tasks.

Group Discussion

During the group discussion, encourage students to Recognize the emotions they felt while solving the problems. Ask: 'How did you feel facing these mathematical problems?'. Help them Understand the causes of these emotions by exploring questions like: 'Why do you think you felt that way?'. Then, assist students in Labeling the emotions they experienced, encouraging them to use specific words to describe their feelings.

After labeling the emotions, ask students to Express how these emotions influenced their decisions and reasoning during the problem-solving process. Finally, discuss strategies to Regulate these emotions effectively, such as breathing techniques or changing perspectives. Encourage students to share tips with each other on how they maintained calmness and focus during the activity.

Conclusion

Duration: (15 - 20 minutes)

Emotional Reflection and Regulation

For the reflection and emotional regulation activity, ask students to write a paragraph reflecting on the challenges faced during the lesson and how they managed their emotions. Alternatively, organize a group discussion where students can share their experiences. Ask: 'What were the most challenging parts of the lesson for you? How did you feel dealing with negative numbers? How did you manage those emotions?'. Encourage students to use the RULER method to articulate their responses. After writing or discussing, ask them to share their reflections with the class.

Objective: The objective of this subsection is to encourage self-assessment and emotional regulation, helping students identify effective strategies for dealing with challenging situations. By reflecting on their experiences and emotions, students gain a better understanding of their emotional responses and learn to regulate these emotions more effectively, applying these insights in future contexts.

Closure and A Look Into The Future

For the closing, suggest that students set personal and academic goals related to the lesson content. Explain that the goals can include improving accuracy in performing operations with negative numbers, increasing confidence in facing challenging mathematical problems, or applying knowledge of negative numbers in everyday situations, such as personal finance management. Ask students to write down these goals and share them with a partner or the class, discussing how they plan to achieve them.

Possible Goal Ideas:

1. Improve accuracy in operations with negative numbers.

2. Increase confidence in dealing with challenging mathematical problems.

3. Apply knowledge of negative numbers in everyday situations, such as personal finance management.

4. Develop effective emotional regulation strategies during problem-solving tasks. Objective: The objective of this subsection is to strengthen students' autonomy and the practical application of learning, aiming for continuity in academic and personal development. By setting and sharing goals, students commit to their own progress and learn to plan concrete actions to achieve their objectives, both in mathematics and in other areas of their lives.