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Lesson plan of Divisibility Criteria: Review

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Mathematics

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Divisibility Criteria: Review

Lesson Plan | Socioemotional Learning | Divisibility Criteria: Review

KeywordsMathematics, Divisibility, Divisibility Rules, Self-Awareness, Self-Control, Responsible Decision-Making, Social Skills, Social Awareness, RULER, Emotions, Guided Meditation, Group Activity, Reflection, Emotional Regulation
ResourcesDeck of cards numbered from 1 to 100, Whiteboard, Markers, Notepads or sheets for notes, Comfy chairs for meditation, Clock or timer
Codes-
Grade10th grade
DisciplineMathematics

Objective

Duration: (10 - 15 minutes)

The aim of this part of the Socioemotional Lesson Plan is to prepare students to effectively understand and apply divisibility rules. By clearly outlining the lesson objectives, students will grasp the significance of mathematical concepts and how they are tied to their cognitive and socioemotional skills, creating a more engaging and cooperative learning environment.

Objective Utama

1. Understand and apply the main divisibility rules for 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.

2. Check the divisibility of numbers using the criteria learned.

Introduction

Duration: (15 - 20 minutes)

Emotional Warmup Activity

Guided Meditation: Focus and Presence

Guided Meditation is an exercise that helps focus attention on a specific object, thought, or activity to achieve mental and emotional clarity. In this activity, students will follow a series of instructions that help them relax, focus, and gear up for learning. This practice enhances concentration, alleviates stress, and boosts self-awareness, which is vital for a productive and harmonious classroom.

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

2. Encourage them to either close their eyes or focus on a specific point in the room.

3. Start the meditation with deep breathing: inhale deeply through the nose, hold for a few seconds, and then exhale slowly through the mouth. Repeat this breathing cycle three times.

4. Guide students to concentrate on their breathing, feeling the air flow in and out of their lungs. If their mind strays, gently redirect their focus back to their breath.

5. Lead them in visualizing a calm and safe place, like a beach or a field of flowers. Describe this place in detail, prompting them to engage all their senses.

6. After a few minutes, have students gradually bring their attention back to the classroom by moving their fingers and toes, and finally opening their eyes.

7. Wrap up the meditation by asking students to briefly reflect on how they feel now compared to how they felt at the start.

Content Contextualization

Divisibility criteria are mathematical tools that help us quickly check if one number can be divided by another without having to do the full division. In our daily lives, we encounter similar scenarios where we need to make quick decisions, like checking if we have enough money for a purchase or when allocating tasks in a group. Grasping these criteria not only refines our math skills but also hones our ability to make responsible and effective decisions.

Moreover, learning about divisibility criteria allows us to marvel at the beauty and logic behind mathematics, boosting our appreciation for the subject and sparking curiosity to learn more. This appreciation and curiosity form the foundation for developing self-awareness and social awareness, as they help us see the value of continuous and collaborative learning.

Development

Duration: (60 - 75 minutes)

Theory Guide

Duration: (20 - 25 minutes)

1. Divisibility Rules: Review

2. Divisibility by 2: A number is divisible by 2 if it is even, meaning it ends in 0, 2, 4, 6, or 8. Example: 24 is divisible by 2 because it ends in 4.

3. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3. Example: 123 is divisible by 3 because 1 + 2 + 3 = 6, and 6 is divisible by 3.

4. Divisibility by 4: A number is divisible by 4 if its last two digits form a number that can be divided by 4. Example: 312 is divisible by 4 because 12 is divisible by 4.

5. Divisibility by 5: A number is divisible by 5 if it ends in 0 or 5. Example: 35 is divisible by 5 because it ends in 5.

6. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3. Example: 36 is divisible by 6 because it is even and the sum of its digits (3 + 6 = 9) is divisible by 3.

7. Divisibility by 7: A number is divisible by 7 if, after doubling the last digit and subtracting it from the number without the last digit, the result is a multiple of 7. Example: 203 is divisible by 7 because 20 - (3 * 2) = 14, and 14 is divisible by 7.

8. Divisibility by 8: A number is divisible by 8 if its last three digits form a number that can be divided by 8. Example: 1000 is divisible by 8 because 000 is divisible by 8.

9. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9. Example: 729 is divisible by 9 because 7 + 2 + 9 = 18, and 18 is divisible by 9.

10. Divisibility by 10: A number is divisible by 10 if it ends in 0. Example: 120 is divisible by 10 because it ends in 0.

11. Divisibility by 11: A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is a multiple of 11. Example: 121 is divisible by 11 because (1 + 1) - 2 = 0, and 0 is divisible by 11.

12. Encourage students to share various examples and propose their own for each rule.

Activity with Socioemotional Feedback

Duration: (30 - 35 minutes)

Understanding Divisibility: Card Game

In this engaging activity, students will work in groups and receive a deck of cards numbered from 1 to 100. The goal is to apply the divisibility rules learned to categorize the cards into different piles, each representing a specific divisor (2, 3, 4, 5, 6, 7, 8, 9, 10, and 11).

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

2. Distribute a deck of cards numbered from 1 to 100 to each group.

3. Each group must create 10 piles of cards, one for each divisor (2, 3, 4, 5, 6, 7, 8, 9, 10, and 11).

4. Students should check the divisibility of each card using the criteria covered.

5. For each card that is classified correctly, the group earns a point.

6. The group that accurately classifies the most cards within a set time (20 minutes) wins the activity.

Discussion and Group Feedback

After the activity, gather students for a group discussion using the RULER method. Start by asking students to recognize how they felt during the activity, encouraging them to express their emotions, whether positive or negative. Understand the reasons behind these emotions, discussing what contributed to those feelings, such as group cooperation or the challenges faced when applying certain divisibility rules.

Conclusion

Duration: (15 - 20 minutes)

Reflection and Emotional Regulation

Encourage students to write a short paragraph about the challenges they encountered during the lesson and how they managed their emotions at various points. Alternatively, lead a group discussion where each student can share their experiences and feelings. Ask them to reflect on moments when they felt either confident or frustrated and how they coped with those emotions.

Objective: The aim of this subsection is to promote self-assessment and emotional regulation, helping students identify effective strategies to navigate challenging situations. Reflecting on the emotions experienced during the lesson can foster greater self-awareness and self-control, which are key components of socioemotional development.

Glimpse into the Future

Ask students to contemplate what they learned in the lesson and how they can apply this knowledge in their studies and daily life. Encourage them to set personal and academic goals tied to the lesson content. For instance, a personal goal might be to improve study habits, while an academic goal could be applying the divisibility rules in more complex math problems.

Penetapan Objective:

1. Review and apply divisibility rules in additional exercises.

2. Enhance organization and study planning.

3. Boost cooperation and communication during group activities.

4. Develop strategies to manage frustrations while learning.

5. Commit to assisting classmates who face difficulties with the content. Objective: The purpose of this subsection is to reinforce students' autonomy and the practical application of their learning. Setting personal and academic goals helps students carve a clear path for their ongoing development, both academically and personally, leading to a more engaging and impactful learning experience.


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