Lesson Plan | Teachy Methodology | Combinatorial Analysis: Combination

Objectives

Duration: 15 - 20 minutes

This stage of the lesson plan aims to establish a solid foundation for understanding the concept of combinations, clearly distinguishing it from permutations, and preparing students to apply these formulas in practical problems. Additionally, the goal is to encourage the use of digital tools to facilitate the problem-solving process, making learning more aligned with the students' technological reality.

Main Objectives

1. Understand the concept of combinations and differentiate it from permutations, focusing on the importance of the order of elements.

2. Apply combination formulas to solve practical problems involving the selection of elements from a set.

Side Objectives

1. Develop problem-solving skills using digital tools such as online calculators and math apps.

Introduction

Duration: 15 - 20 minutes

The purpose of this stage of the lesson plan is to actively engage students using the technology they are familiar with to create an initial connection with the topic. By searching for practical examples and sharing with the class, students begin to build a deeper and contextualized understanding of the concept of combinations, as well as practice research and communication skills.

Warming Up

Start the class by briefly explaining the concept of Combinatorial Analysis, specifically Combination. Highlight that in combinations, the order of elements does not matter, unlike in permutations. Then, ask students to use their cell phones to conduct a quick online search and find an interesting fact or a practical application involving combinations. Give each student 2 minutes to share what they found with the class.

Initial Reflections

1. What is the main difference between combinations and permutations?

2. Why does the order of elements not matter in combinations?

3. Can you cite practical examples where combinations are used in daily life?

4. How can combinatorial analysis be useful in business decisions or event planning?

5. What was the interesting fact you found and how does it relate to the concept of combinations?

Development

Duration: 70 - 80 minutes

The purpose of this stage of the lesson plan is to provide a practical and contextualized learning experience where students apply the concept of combinations in collaborative and playful activities using digital tools. This not only reinforces theoretical understanding but also develops practical and relevant skills for modern and professional life.

Activity Suggestions

It is recommended that only one of the suggested activities be carried out

Activity 1 - 🎮 Instagram Influencer Mission 🎮

> Duration: 60 - 70 minutes

- Objective: Apply the concept of combinations in a modern and familiar context, using digital tools to solve practical problems and develop communication and design skills.

- Description: Students must simulate a campaign on a social media platform where they are influencers who need to create groups of products for a store promotion. They will use digital tools to create product combinations and present their campaigns.

- Instructions:

• Divide the class into groups of no more than 5 people.

• The groups must choose a social media platform to simulate the campaign (Instagram is suggested).

• Each group should access an online combination calculator to determine the number of possible combinations of products.

• The groups should create a fictional post for the campaign, including images of the products, descriptions, and the number of possible combinations.

• Use graphic design tools like Canva to create the posts.

• Each group presents its campaign to the class, explaining the combinations made and the campaign strategy.

Activity 2 - 🎲 Gamification: Escape Room Challenge 🎲

> Duration: 60 - 70 minutes

- Objective: Encourage teamwork and the practical application of combinations in a digital game environment, developing problem-solving skills and critical thinking.

- Description: Students will participate in an 'Escape Room' style challenge, where they will need to solve riddles and puzzles related to combinations to 'escape' the virtual room. The activity will take place on an online platform that allows for the creation of these challenges.

- Instructions:

• Divide the class into groups of no more than 5 people.

• Use an educational game creation platform, such as Kahoot or Quizizz.

• Set up a series of riddles based on combinations (e.g., forming groups of people, creating passwords, etc.).

• Each group must access the challenge room and start solving the riddles.

• Students use online calculators and math apps to solve the problems.

• The first group to solve all the riddles and 'escape' the room wins the challenge.

• At the end, discuss with the class how they solved the riddles and what strategies they used.

Activity 3 - 🌐 Virtual Event Planning 🌐

> Duration: 60 - 70 minutes

- Objective: Develop organizational and planning skills in a digital context, applying the concept of combinations to solve real problems and enhance presentation skills.

- Description: Students must plan a virtual event, such as a webinar or an online conference, determining different combinations of speakers and topics, using digital tools for organizing and presenting the event.

- Instructions:

• Divide the class into groups of no more than 5 people.

• Each group must choose a theme for the virtual event.

• The groups should access an online combination calculator to determine the different possible combinations of speakers and topics.

• Use tools like Google Sheets or Trello to organize the event planning.

• Create a presentation of the event using slides (Google Slides, PowerPoint).

• Each group presents its planning to the class, explaining the combinations and logistics of the event.

• Conduct a discussion about the challenges encountered and how combinations helped in planning.

Feedback

Duration: 20 - 25 minutes

The purpose of this stage of the lesson plan is to provide an opportunity for students to reflect on their experiences and learning, promoting critical thinking and self-evaluation. The group discussion and 360° feedback help consolidate the understanding of the concepts worked on, as well as develop interpersonal and communication skills.

Group Discussion

🌟 Group Discussion 🌟

Promote a group discussion with all students. Start the discussion by asking each group to brief what they learned and the conclusions they reached while carrying out the activities. Use the following outline to guide the discussion:

1. Introduction: Ask how the overall experience with the activities was. Did any group encounter unexpected difficulties?
2. Learnings: Request each group to share the main learnings about the concept of combinations and how they applied the theory in practice.
3. Digital Tools: Ask which digital tools were most useful and if they discovered new functionalities that facilitate working with combinations.
4. Practical Relevance: Encourage students to reflect on how the concepts of combinations can be applied in real situations outside the classroom.

Reflections

1. ❓ Reflection Questions ❓

1. How did the activity change or reinforce your understanding of combinations?
2. In what different ways could you apply the concept of combinations in your daily life or in professional contexts?
3. What were the main challenges encountered and how did you overcome them?

360° Feedback

🔄 360° Feedback 🔄

Instruct students to conduct a 360° feedback session, where each student should receive constructive feedback from other members of their group. Guide the class to ensure the feedback is specific, constructive, and respectful. Use this outline:

1. Positive Feedback: Each student should share something positive about each classmate's performance, highlighting strengths and important contributions.
2. Improvement Feedback: Each student should suggest an area where their peers can improve, always respectfully and with practical suggestions.
3. Self-Reflection: Ask students to reflect on the feedback received and think about how they can apply these suggestions to improve in future activities.

Conclusion

Duration: 10 - 15 minutes

The purpose of this stage of the lesson plan is to ensure that students consolidate the main ideas and applications of combinations, connecting the topic to the real world and their daily experiences. Through a creative summary, we aim to reinforce learning in an engaging and meaningful way. We also promote reflection on the practical relevance of this knowledge to encourage ongoing and conscious application outside the classroom.

Summary

🤹 Fun Summary! 🤹

Today, we dived into the fascinating world of combinations! Imagine you are a magician and each trick depends on how many cards you can draw from your deck – but without worrying about the order! We explored how to form groups of friends, create campaigns on social media, and even organize virtual events, all using the power of combinations. By using digital tools and a lot of creativity, you all became true masters of combination!

World Connection

🌍 Connection to the Modern World 🌍

Combinations are everywhere in the modern world: from suggesting music playlists on streaming platforms to creating marketing strategies on social media. The ability to understand and apply combinations is essential for navigating the vast information and options we encounter daily. This knowledge is not only relevant to mathematics but also to decision-making in our digital day-to-day.

Practical Application

🎓 Applications in Daily Life 🎓

Understanding combinations is crucial for various real-life situations. Whether planning events, organizing workgroups, or selecting ideal combinations of ingredients for a recipe, knowing how many different options you have is a powerful skill. It can help optimize resources and make more informed and efficient decisions in various areas such as business, technology, and entertainment.