Lesson Plan | Socioemotional Learning | Divisibility Criteria

Objectives

Duration: (10 - 15 minutes)

The purpose of this stage of the Socioemotional Lesson Plan is to present clear and specific objectives so that students know what is expected of them during the class. By establishing these objectives, students can better focus on the content and skills they need to develop, promoting a more structured and efficient learning environment. Furthermore, defining the objectives helps the teacher to direct activities and teaching methods to ensure that all socioemotional competencies are integrated with the mathematical content.

Main Goals

1. Identify the main divisibility rules (2, 3, 4, 5, 6, 9, and 10) through practical examples and interactive activities.

2. Develop problem-solving skills involving the application of the divisibility rules to determine whether a number is divisible by another or not, and to find the remainder of the division.

Introduction

Duration: (15 - 20 minutes)

Emotional Warm-up Activity

Mindful Breathing

The emotional warm-up activity is called 'Mindful Breathing'. This practice involves a series of guided breathing exercises that help students focus on the present moment, promoting calmness, concentration, and presence. Mindful Breathing is a mindfulness technique that can be performed in any environment and helps reduce anxiety, improve mental clarity, and prepare students for better absorption of the class content.

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

2. Guide them to gently close their eyes or maintain a soft gaze, focusing on a point in front.

3. Instruct students to breathe deeply through their noses, filling their lungs with air, then slowly exhaling through their mouths. Repeat this cycle several times to help everyone calm down.

4. Start a slow count by asking them to breathe deeply through their nose counting to four, hold their breath counting to four, and then exhale counting to four. Repeat this cycle five times.

5. After a few minutes, ask students to return to normal breathing and slowly open their eyes.

6. Ask how they feel after the exercise and encourage them to share their experiences if they wish.

Content Contextualization

The divisibility rules are very useful mathematical tools in our daily lives. For example, when organizing an event, it is important to know how to evenly divide guests into tables or how to distribute resources fairly. Let's explore together how these rules can help us make more efficient and fair decisions. Additionally, by understanding and applying these concepts, we develop our problem-solving skills, which is essential not only in mathematics but in various situations in everyday life. By working with divisibility rules, we also practice self-control and patience, as some divisions may require more attention and effort.

Development

Duration: (45 - 55 minutes)

Theoretical Framework

Duration: (20 - 25 minutes)

1. Divisibility Rules:

2. Divisibility by 2: A number is divisible by 2 if it is even, that is, if it ends in 0, 2, 4, 6, or 8.

3. Example: 24 is divisible by 2 because it ends in 4.

4. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

5. Example: 123 is divisible by 3 because 1 + 2 + 3 = 6, and 6 is divisible by 3.

6. Divisibility by 4: A number is divisible by 4 if the last two digits form a number divisible by 4.

7. Example: 124 is divisible by 4 because 24 is divisible by 4.

8. Divisibility by 5: A number is divisible by 5 if it ends in 0 or 5.

9. Example: 35 is divisible by 5 because it ends in 5.

10. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3 simultaneously.

11. Example: 18 is divisible by 6 because it is even (divisible by 2) and the sum of the digits is 9 (divisible by 3).

12. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.

13. Example: 729 is divisible by 9 because 7 + 2 + 9 = 18, and 18 is divisible by 9.

14. Divisibility by 10: A number is divisible by 10 if it ends in 0.

15. Example: 70 is divisible by 10 because it ends in 0.

Socioemotional Feedback Activity

Duration: (25 - 30 minutes)

Divisibility Challenge

Students will be divided into groups, and each group will receive a list of numbers and must identify the divisibility rules that apply to each number. The activity will encourage collaboration and practical application of the learned concepts.

1. Split the class into groups of 4 to 5 students.

2. Distribute a different list of numbers to each group.

3. Each group should analyze the numbers and apply the divisibility rules to determine which numbers (2, 3, 4, 5, 6, 9, 10) each one is divisible by.

4. The groups must record their answers on a piece of paper.

5. After analyzing, each group will present their findings to the class.

Group Discussion

After the groups' presentations, it is crucial to apply the RULER method to guide the group discussion. Start by recognizing students' emotions by asking how they felt during the activity: were they confident, anxious, or excited? Based on their responses, help students understand the causes of these emotions, such as effective collaboration or challenges faced. Then, name the emotions correctly and ask students to express how they felt working in a group: what were the challenges and the achievements? Finally, discuss ways to regulate these emotions in future collaborative activities, emphasizing the importance of self-control and empathy. This reflection will help students develop social skills and social awareness, as well as strengthen self-knowledge and self-control.

Conclusion

Duration: (15 - 20 minutes)

Emotional Reflection and Regulation

Suggest to students that they write a brief reflection on the challenges faced during the class. They should describe how they felt applying the divisibility rules, whether they had difficulties working in groups, and how they dealt with those difficulties. Alternatively, promote a group discussion where students can share their experiences, feelings, and strategies used to overcome challenges.

Objective: The objective of this subsection is to encourage students to self-assess and regulate their emotions, helping them identify effective strategies for dealing with challenging situations. This moment of reflection aids in the development of self-knowledge and self-control, essential skills for personal and academic growth.

Closure and A Look Into The Future

To conclude the class, ask students to set personal and academic goals related to the content learned. They can write these goals in their notebooks or share them with the class. Explain that these goals should be specific, measurable, achievable, relevant, and time-bound (SMART).

Possible Goal Ideas:

1. Understand and correctly apply the divisibility rules in different mathematical contexts.

2. Develop confidence in solving mathematical problems using the divisibility rules.

3. Improve collaboration and communication in group activities.

4. Practice self-control and patience when facing mathematical challenges.

5. Apply the divisibility rules in everyday situations, such as dividing resources or organizing events. Objective: The objective of this subsection is to enhance students' autonomy and practical application of learning. Setting clear and achievable goals helps students stay focused and motivated, promoting continuity in academic and personal development. Furthermore, this practice encourages self-efficacy and resilience, preparing students for future challenges.