Lesson Plan | Socioemotional Learning | Divisibility Criteria

Objective

Duration: (10 - 15 minutes)

The aim of this stage of the Socioemotional Lesson Plan is to lay out clear and specific objectives, so that learners are aware of what is expected of them during the lesson. By clarifying these goals, students can focus better on the content and skills they need to develop, encouraging a more structured and productive learning environment. Moreover, setting objectives assists the teacher in guiding activities and methods of teaching to ensure that all socioemotional competences are woven into the mathematical content.

Objective Utama

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

2. Develop problem-solving skills by applying divisibility rules to check if one number can be divided by another and to calculate the remainder.

Introduction

Duration: (15 - 20 minutes)

Emotional Warmup Activity

Mindful Breathing

The emotional warm-up activity is called 'Mindful Breathing'. This practice involves a series of guided breathing exercises to help students focus on the present moment and encourage calmness and concentration. Mindful Breathing is a technique that can be used anywhere and helps to ease anxiety, improve mental clarity, and prepare students for better engagement with the lesson content.

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

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

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

4. Start a slow count, asking them to breathe in deeply through their nose while counting to four, hold their breath while counting to four, and then exhale while 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 thoughts if they wish.

Content Contextualization

Divisibility rules are incredibly useful mathematical tools in our everyday lives. For instance, when planning an event, it’s essential to know how to distribute guests evenly among tables or how to share resources fairly. Let’s explore together how these rules can help us make more efficient and fair decisions. Additionally, grasping and applying these concepts helps us refine our problem-solving skills, which are crucial not just in maths but also in various daily situations. Working with divisibility rules allows us to practice self-control and patience, as some divisions may take a bit more attention and effort.

Development

Duration: (45 - 55 minutes)

Theory Guide

Duration: (20 - 25 minutes)

1. Divisibility Rules:

2. Divisibility by 2: A number is divisible by 2 if it’s even, meaning 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 can be divided 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 that is 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.

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

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

Activity with Socioemotional Feedback

Duration: (25 - 30 minutes)

Divisibility Challenge

Learners will be split into groups, with each group receiving a list of numbers to identify the applicable divisibility rules for each number. This activity will encourage teamwork and practical application of the concepts learned.

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

2. Give each group a list of different numbers.

3. Each group should look at the numbers and apply the divisibility rules to find out which ones (2, 3, 4, 5, 6, 9, 10) each number is divisible by.

4. Groups should write their answers on a piece of paper.

5. After they’ve finished, each group will present their findings to the class.

Discussion and Group Feedback

After the groups present, it’s important to use the RULER method to guide the discussion. Start by recognising the students' feelings, asking them how they felt during the activity: were they confident, anxious, or excited? Based on their responses, aid students in understanding the causes of those emotions, such as successful collaboration or challenges faced. Then, name the emotions clearly and ask students to express their feelings about working in groups: what were the difficulties and successes? Finally, discuss strategies to regulate these emotions in future group work, highlighting the importance of self-control and empathy. This reflective exercise will help students develop their social skills and awareness, as well as strengthen their self-awareness and self-control.

Conclusion

Duration: (15 - 20 minutes)

Reflection and Emotional Regulation

Encourage students to jot down a brief reflection on the challenges faced during the lesson. They should describe how they felt while applying the divisibility rules, if they experienced difficulties working in groups, and how they managed those challenges. Alternatively, facilitate a group discussion where learners can share their experiences, feelings, and strategies used to overcome obstacles.

Objective: The goal of this section is to prompt students to engage in self-assessment and emotional regulation, helping them identify effective methods for dealing with challenging situations. This reflection aids in cultivating self-awareness and self-control, essential skills for personal and academic development.

Glimpse into the Future

As we wrap up the lesson, ask students to set personal and academic goals related to what they’ve learned. They can write these goals in their notebooks or share them with the class. Explain that these goals should be SMART: specific, measurable, achievable, relevant, and time-bound.

Penetapan Objective:

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

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

3. Enhance collaboration and communication during group activities.

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

5. Utilise the divisibility rules in everyday scenarios, such as sharing resources or organising events. Objective: The aim of this section is to reinforce students' autonomy and practical application of their learning. Clearly defined goals help learners stay focused and motivated, aiding their ongoing academic and personal growth. Additionally, this practice fosters self-efficacy and resilience, enabling students to prepare for future challenges.