Lesson Plan | Lesson Plan Iteratif Teachy | Combinatorial Analysis: Combination

Goal

Duration: 15 - 20 minutes

This lesson aims to lay a strong foundation for understanding combinations, clearly differentiating them from permutations, and prepping students to use these formulas in real-life scenarios. The plan also encourages the use of digital tools to streamline problem-solving, making learning relevant to students' tech-savvy lifestyles.

Goal Utama:

1. Grasp the idea of combinations and set it apart from permutations, highlighting how the order of elements is not significant.

2. Utilize combination formulas to tackle real-world problems that involve selecting elements from a set.

Goal Sekunder:

1. Enhance problem-solving capabilities using digital tools like online calculators and maths applications.

Introduction

Duration: 15 - 20 minutes

The aim of this part is to actively engage students through familiar technology, creating an initial connection to the subject. By researching and discussing practical examples, students start to build a deeper understanding of combinations while honing their research and communication skills.

Warming Up

Kick off the class by giving a brief overview of Combinatorial Analysis, with a focus on Combination. Stress that, unlike permutations, in combinations the order doesn’t count. Invite students to quickly browse their phones for an interesting fact or a practical use of combinations. Allow each student 2 minutes to share their find with the class.

Initial Thoughts

1. What distinguishes combinations from permutations?

2. Why is the order of elements irrelevant in combinations?

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

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

5. What intriguing fact did you uncover and how does it link to combinations?

Development

Duration: 70 - 80 minutes

This segment aims to deliver a practical and contextualised learning experience, where students actively apply combinations through collaborative and engaging activities with digital tools. It reinforces theoretical knowledge while equipping students with relevant practical skills for today’s world.

Activity Suggestions

Activity Recommendations

Activity 1 - 🎤 Instagram Influencer Mission 🎤

> Duration: 60 - 70 minutes

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

- Deskripsi Activity: Students will simulate a campaign on a social media platform as influencers who need to devise groups of products for a store promotion. They’ll use digital tools to form combinations of products and present their campaigns.

- Instructions:

• Split the class into groups of up to 5 students.

• Groups should select a social media platform to simulate the campaign (Instagram is a good choice).

• Each group needs to access an online combinations calculator to determine potential product groupings.

• Groups create a fictional post for the campaign, showcasing product images, descriptions, and the number of combinations.

• Use graphic design tools like Canva for creating the posts.

• Each group presents their campaign to the class, explaining their combinations and campaign strategies.

Activity 2 - 🎲 Gamification: Escape Room Challenge 🎲

> Duration: 60 - 70 minutes

- Goal: Encourage teamwork and the practical use of combinations in a fun gaming environment, enhancing problem-solving and critical thinking skills.

- Deskripsi Activity: Students will participate in an 'Escape Room'-style challenge where they need to solve puzzles related to combinations to 'escape' a virtual room. The activity will take place on an online platform designed for creating such challenges.

- Instructions:

• Organise the class into groups of up to 5 students.

• Utilize an educational game creation platform, like Kahoot or Quizizz.

• Set up a series of puzzles based on combinations (e.g., grouping people, generating passwords, etc.).

• Each group enters the challenge room and begins solving puzzles.

• Students use online calculators and maths apps to work through the challenges.

• The first group to solve all the puzzles and successfully 'escape' wins.

• At the end, hold a class discussion on how they solved the puzzles and the strategies they employed.

Activity 3 - 🌐 Virtual Event Planning 🌐

> Duration: 60 - 70 minutes

- Goal: Build organisational and planning skills in a digital setting, applying the concept of combinations to address real challenges and enhance presentation skills.

- Deskripsi Activity: Students will be tasked with planning a virtual event, like a webinar or online conference, choosing different combinations of speakers and topics, while using digital tools to organize and present the event.

- Instructions:

• Divide the class into groups of up to 5 students.

• Each group selects a theme for their virtual event.

• Groups should consult an online combinations calculator to find out the various combinations of speakers and topics.

• Use tools like Google Sheets or Trello for organising their event planning.

• Prepare a presentation using slides (Google Slides, PowerPoint).

• Each group will present its plans to the class, detailing their combinations and event logistics.

• Engage in a discussion about any challenges faced and how combinations played a role in the planning.

Feedback

Duration: 20 - 25 minutes

The intention of this part is to provide students with a chance to reflect on their experiences and learnings, promoting critical thinking and self-assessment. The group discussion and 360° feedback help reinforce their grasp of the concepts covered while developing interpersonal and communication skills.

Group Discussion

🌟 Group Discussion 🌟

Encourage a group discussion among all students. Start by asking each group to share a summary of what they learnt and the conclusions they drew during the activities. Use the following prompts to guide the discussion:

1. Experience: How was your overall experience with the activities? Did any group face unexpected challenges?
2. Learnings: Share the main insights about combinations and how you practised the theory in a hands-on way.
3. Digital Tools: Which digital tools were most beneficial, and did you uncover any new features that simplified your work with combinations?
4. Real-World Connections: Reflect on how the concepts of combinations can be applied outside the classroom in real-life scenarios.

Reflections

1. ❓ Reflection Questions ❓

1. How did the activity change or reinforce your understanding of combinations?
2. In what various ways could you utilise the concept of combinations in your everyday life or professional settings?
3. What were the main hurdles you faced and how did you manage to overcome them?

Feedback 360º

🔄 360° Feedback 🔄

Instruct students to engage in a 360° feedback session, where each one receives constructive critiques from their group members. Guide the discussion to ensure that the feedback is specific, constructive, and considerate. Use this outline:

1. Positive Points: Each student should share something positive about each peer’s contributions, showcasing strengths and important input.
2. Improvement Suggestions: Each student should offer an area for improvement for each peer, always phrased gently with practical recommendations.
3. Self-Reflection: Encourage students to reflect on the feedback they received and think about ways to apply these insights for improvement in future tasks.

Conclusion

Duration: 10 - 15 minutes

This section aims to help students consolidate their understanding of combinations and link the topic to practical applications in the real world. Through a creative summary, we focus on reinforcing insights in an engaging manner while encouraging contemplation regarding the relevance of this knowledge to inspire ongoing and mindful usage beyond the classroom.

Summary

🤩 Fun Summary! 🤩

Today, we delved into the exciting realm of combinations! Picture yourself as a magician where each trick relies on how many cards you can draw from your deck, but with no concern for the order! We examined how to group friends, design campaigns on social media, and even host virtual events, all harnessing the magic of combinations. Using digital tools and your creativity, you truly became masters of combination!

World

🌍 Connection to the Modern World 🌍

Combinations are prevalent in our everyday lives: from music recommendations on streaming services to strategic marketing on social media. Understanding and applying combinations is crucial for navigating the vast array of choices we encounter day by day. This knowledge extends beyond mathematics into real-world decision-making.

Applications

🎓 Applications in Daily Life 🎓

Grasping combinations is vital for a variety of real-world tasks. Whether planning events, forming workgroups, or even selecting the best ingredient combinations for a recipe, knowing the number of different options is a key skill. It can lead to optimised resource use and more informed decisions in areas including business, technology, and entertainment.