Lesson Plan | Lesson Plan Iteratif Teachy | GCD Problems

Goal

Duration: 10 - 15 minutes

This section aims to convey the learning objectives to the students, giving them a clear idea of what will be tackled during the lesson and its relevance to real-life skills. This will aid in guiding the activities that follow and reinforce the importance of the topic in their daily context.

Goal Utama:

1. Calculate the greatest common divisor (GCD) of two or more numbers.

2. Solve practical problems involving the use of GCD, such as figuring out the maximum number of bags to make so that each has the same amount of two types of sweets without any leftover.

Goal Sekunder:

1. Use digital tools to aid in calculating and visualizing GCD problems.
2. Collaborate in groups to encourage peer learning and the sharing of insights.

Introduction

Duration: 15 - 20 minutes

This part of the lesson is designed to pique students' interest and curiosity about the topic. It creates a connection between the mathematical concepts and their practical applications, prepping students for the upcoming tasks. Using mobile devices also adds an element of dynamism and relevance given their digital environment.

Warming Up

To kick off the lesson on GCD problems, give a brief overview to the students that the GCD (Greatest Common Divisor) is a key mathematical concept that helps them address various practical issues. Then, ask them to whip out their cell phones and find an intriguing fact about GCD or a real-world example of how it’s applied in daily life. They can share their findings in a quick discussion.

Initial Thoughts

1. What exactly is GCD and why is it important?

2. How can understanding GCD be useful in everyday situations?

3. Did anyone stumble upon any interesting fact about GCD during their research?

4. Do you think GCD is more common in a particular field? Which field and why?

5. How would you explain GCD to someone who's never heard of it?

Development

Duration: 70 - 80 minutes

The goal of this phase is to give students a practical and contextualized learning experience by using modern digital tools. These activities aim to make learning about GCD more engaging and relevant, encouraging practical applications of the studied concepts and group collaboration. This methodology seeks to enhance student involvement and deepen their understanding of GCD problems through interactive and enjoyable tasks.

Activity Suggestions

Activity Recommendations

Activity 1 - Digital Influencers Challenge

> Duration: 60 - 70 minutes

- Goal: To foster the use of digital tools for solving GCD problems, encourage teamwork, and enhance communication skills.

- Deskripsi Activity: Students will pretend to be digital influencers with thousands of followers. They’ve been invited by a sweet company to calculate the maximum number of sweet bags they can create without leftovers. Students will need to determine the GCD of the candy amounts they were given and put together a digital campaign showcasing their outcomes.

- Instructions:

• Group students into teams of up to 5 members.

• Each group will be given two numbers denoting the amounts of two different types of sweets.

• Groups should use their cell phones or computers to calculate the GCD of the two figures with a digital tool (like an online calculator or math app).

• Once they’ve calculated, they will create a fictional digital marketing campaign using a platform like Canva for posts and stories.

• Each group will present for 5 minutes, explaining their GCD calculations, the results, and how they developed the campaign.

Activity 2 - Gamification: The GCD Game

> Duration: 60 - 70 minutes

- Goal: To make learning GCD fun and interactive, promoting teamwork and the use of digital problem-solving tools.

- Deskripsi Activity: Students will take part in a digital board game where they have to solve GCD challenges to progress. Each correct task will enable them to move forward on the board, with the ultimate goal of finishing the race before time runs out.

- Instructions:

• Split the students into groups of up to 5 and provide them with the digital version of the GCD game (which could be an interactive board made on Google Slides or a gamification platform like Kahoot!).

• Groups will start at the beginning point on the board.

• Each group will receive different GCD calculation problems that they must resolve using digital tools.

• Every time a group answers correctly, they get to move further on the board.

• The group that reaches the end first or is the furthest advanced when time’s up will win the game.

• Encourage cooperation and discussion amongst group members during the game to find the solutions.

Activity 3 - Augmented Reality: Exploring GCD

> Duration: 60 - 70 minutes

- Goal: To integrate AR technology to enhance visualisation and understanding of GCD problems, while fostering presentation and collaboration skills.

- Deskripsi Activity: In this activity, students will harness augmented reality (AR) technology to visualize and solve GCD problems. Using relevant AR apps, they’ll be able to manipulate numbers and identify common divisors in a digital space.

- Instructions:

• Organise students into groups of up to 5.

• Each group will receive a list of GCD problems that they need to solve using AR apps (like GeoGebra AR or other apps found in the Play Store/App Store).

• Students should use these apps to interactively visualize the numbers and their common divisors.

• Following the problem-solving, the groups should prepare a digital presentation (using tools like Google Slides) explicating their methodologies and how AR technology assisted their comprehension.

• Each group will present for 5 minutes to the class, sharing their insights and experiences with the AR.

Feedback

Duration: 15 - 20 minutes

This segment aims to consolidate the learning taken from the lesson, providing students with time to reflect on their experiences and exchange knowledge amongst each other. The 360° feedback fosters self-evaluation and enhances communication skills while strengthening teamwork.

Group Discussion

Encourage a group discussion where all students share their learnings from the activities. Use the points below to initiate this discussion:

1. Introduction: Invite each group to briefly share their experience. How did they tackle solving the problems? What digital tools did they utilise?
2. Challenges and Solutions: Ask groups about the main challenges they faced and how they overcame them. This will enable students to share useful tips and tricks with their peers.
3. Practical Impact: Prompt students to discuss how knowledge of GCD can be relevant in daily situations. They could provide concrete examples, like assembling sweet packets or other practical scenarios.
4. Engagement with Technology: Question students on how using digital tools and technologies such as augmented reality influenced their understanding and solving of GCD problems.

Reflections

1. How did using digital tools aid your understanding of GCD concepts? 2. What were the biggest hurdles you faced during these activities and how did you manage to overcome them? 3. In what ways can understanding GCD be useful in other subjects or facets of everyday life?

Feedback 360º

Hold a 360° feedback session where each student receives input from their peers in the group. Guide the class to adhere to some rules for ensuring the feedback is constructive and respectful:

1. Be Specific: Encourage students to give concrete examples of what was successful and what could use improvement.
2. Use the Sandwich Technique: A positive remark followed by a suggestion for improvement, and concluding with another positive note.
3. Respect and Empathy: Stress the importance of being respectful and empathetic, highlighting the significance of valuing the efforts of their peers.

Conclusion

Duration: 10 - 15 minutes

Purpose: This conclusion phase is geared towards cementing learning through a lively recap, connecting the topics covered to students' realities and practical uses. It underscores the importance of the content tackled and encourages students to contemplate how they might apply their newfound knowledge in daily life. 🌟

Summary

Summary: 🎉 Well done, students! Today you explored the realm of GCD problems with some exciting and innovative activities. From discovering fascinating facts to becoming digital sweet influencers, you utilized technology to calculate the Greatest Common Divisor and created fantastic campaigns! You also got involved in an entertaining digital board game, and explored Augmented Reality to visualize divisions interactively. This was definitely a journey filled with fun and challenges! 🚀

World

In the World: 🌐 Today's lesson showcased how mathematics, and particularly GCD, can be leveraged in various fields of the modern world. From optimizing resources to creating digital marketing campaigns, understanding GCD is crucial and adaptable. The use of digital tools and new technologies like Augmented Reality exemplifies how learning is increasingly intertwined with the digital dynamics of our everyday lives.💡

Applications

Applications: 📈 Grasping and applying the GCD concept is key for resolving practical issues such as resource distribution, event planning, and even understanding algorithms in computer science. This enhances our daily efficiency and organization. Armed with GCD knowledge, you’re more equipped to tackle mathematical and practical challenges that pop up in various everyday contexts. 🤖